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			==Sieve of Nicholls==
	== Aside conversion regarding discussion on ] ==
	I decided this portion of my response to the ] discussion would probably be better placed here.
			Where would you recommend I look to publishing the results of this work?
	I know I can't speak for everyone that took part in ] last time, but I don't feel that we intended to deny that the bigotry you experience exists and apologize if it came off that way. I feel that (as I mentioned last time) you're hearing from the vocal minority of people that may call themselves "Michigan Fans." Consider this: It would be remiss of me to assume that everyone affiliated with the Ohio State University are bigots because of the number of vandalism attacks received on Misplaced Pages articles related to the University of Michigan and verbal attacks I have received from their so called "fans" over several years.
			I appreciate the distinction between referencing peer reviewed content, and being peer reviewed content.
	In addition, I do feel offended when I feel I am being called an idiot or bigot since they are very strong words. You may want to review ] which explains that using labels can put people on the defensive which makes discussion difficult. I would also highly recommend that you read ] since your to the discussion comes across as being uncivil.
			Is there a reason why the wikipedia engine hasn't been cloned to facilitate the publishing of original material? <small><span class="autosigned">—&nbsp;Preceding ] comment added by ] (] • ]) 16:17, 31 March 2014 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
	Hopefully with the time off since the last discussion on this topic everyone will be more civil. --] 14:42, 19 July 2007 (UTC)
			: I haven't thought about a wiki for original research. There are various journals of number theory and there are journals that accept papers in many areas of mathematics, including number theory. But if you want to put it on a web site without going through a full refereeing process, you could try . ] (]) 15:51, 1 April 2014 (UTC)
			==Shreni Integration==
	: Well, obviously it was not you that I was calling an idiot or a bigot. It was the person who vandalized the ] disambiguation page.
	:
	More on this later...... ] 19:42, 19 July 2007 (UTC)
			First of all thanks for your edits.
	== Thanks! ==
	Hi Michael, thanks for making my stub on ]s conform to wikipedia conventions and for stopping its speedy deletion, when it didn't conform. as you probably noticed I'm just learning the conventions, so apologies if here is not the place to say "thank you".
	] 15:43, 25 July 2007 (UTC)
			You commented that the article on shreni integration seems to be incomplete. What if I add derivation of the formula? Will the article be acceptable then?
	== SF ==
			== Manin matrices ==
	Science Fiction. I'm working on becoming a pro writer, I work at an SF bookstore (in addition to doing freelance web dev, graphics, programming and journalism, according to my business card), and a large number of my friends are pros (and notable enough to be on wikipedia) so I've taken to shanghai-ing them at cons and social events for pics to release. :-) --] 02:20, 26 July 2007 (UTC)
	==AfD nomination of ]==
			Michael, when you put $M$ I see the page like this:
	An article that you have been involved in editing, ], has been listed for ]. If you are interested in the deletion discussion, please participate by adding your comments at ]. Thank you.<!-- Template:adw -->
			Failed to parse (lexing error): \begin{vmatrix} d & -b \\ -c & a \end{vmatrix} \begin{vmatrix} a & b \\ c & d \end{vmatrix} = \begin{vmatrix} da-bc & db-bd \\ -ca+ac & -cb+ad \end{vmatrix} = \text{if and only if $M$ is a Manin matrix} = \begin{vmatrix} ad-cb & 0 \\ 0 & ad-cb \end{vmatrix}.
	== That contentious circle business ==
			I use chrome browser. Do you see the page without parse errors ?
	The items you added are NOT metaphorical circles; they belong under either "artifacts" or "glyphs and symbols" depending on which sort they are. Something that has a circular shape and is included for that reason belongs under "artifacts" or "glyphs and symbols". When one speaks of Sigmund Freud's "inner circle" then '''that''' is a metaphorical circle; it does not have a physically circular shape. ] 23:46, 2 August 2007 (UTC)
	::Artifacts, glyphs and symbols may be renderings of ]s by metaphorical extension. We simply have different working definitions and knowledge areas. Inclusion not exclusion is key. Extract from this 'category list' and inaugurate another specific mathematical list ensuring that the category heading specifically mentions mathematical exclusivity; then we will have no bone of contention. BTW... refer: ]<br />
	::Respectfully
	::<font color="Green">]</font><sup> (] • ])</sup> 23:54, 2 August 2007 (UTC)
	I agree that they may have metaphorical meaning, but their circular shape is not metaphorical; it's their actual physical shape. ] 00:01, 3 August 2007 (UTC)
	: OK, now I've rephrased the introduction to the article to read as follows:
	::: This '''list of circle topics''' includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include things like "inner circle" in which the word has no reference to the geometric shape.
	:] 00:04, 3 August 2007 (UTC)
	::::To ] it within an inch of its life: I employed "metaphor" as ]. If we create a ], ], ], ] where all our dialogue could be accomodated and entertained, what would be the parameters and its quantification? Shall we keep the ] in ] and not push other teams off the field?<br />
	::::<nowiki>*chuckle*</nowiki>
	::::<font color="Green">]</font><sup> (] • ])</sup> 00:09, 3 August 2007 (UTC)
			] (]) 18:00, 14 July 2012 (UTC)
	== Mathematical series ==
			PS
	Is:
			With Opera it is the same <small><span class="autosigned">— Preceding ] comment added by ] (] • ]) 18:15, 14 July 2012 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
	<blockquote>
			: I'm using google chrome, and I don't get any error messages. However, I've edited it further since reading this. ] (]) 03:52, 15 July 2012 (UTC)
	:: The sum of an '''infinite series''' {{nowrap|1=''a''<sub>0</sub> + ''a''<sub>1</sub> + ''a''<sub>2</sub> + &hellip;}} is the ] of the ] of '''partial sums'''
			:: Thank you, it is Okay now ! Strange how it might be different for different users ? May be it depends on OS ? I use windows 7. ] (]) 07:02, 15 July 2012 (UTC)
	::: <math>S_n = a_0 + a_1 + a_2 + \cdots + a_n,</math>
			== Article titles for ANOVA ==
	:: as ''n'' → ∞, if the partial sums converge to a finite value. If so, the series is said to ]; otherwise the series is said to ].
			Hi Michael,
	</blockquote>
			I have been researching analysis of variance recently and noticed that the two-way ANOVA article could use some work. I have just done a few small to moderate edits there.
	I had changed this, and you had undone the changes, perhaps editing my talk page would have been more helpful? I had changed this from two sentences to one. The first sentence is a defintion, the second starts with "If so". Consider these two sentences:
			The one major change I made was to the article title, from "Two-way analysis of variance" to "Two-way ANOVA." I notice that you have applied undo to this change and also changed the article "One-way ANOVA" to "One-way analysis of variance." I think these articles would both do better with the ANOVA title word instead of the "analysis of variance" phrase. Here is why.
	The result of 2+2 is 4. If so, great, otherwise...
			Here is text I copied from the "View History | Page View statisitcs" link for both articles:
	I think it can only be made sense of if you are saying something about the framework in which we define things:
			Two-way_analysis_of_variance has been viewed 3609 times in the last 30 days.
	The result of 2+2 is 4. If so, we are not living in a totalitarian state, otherwise, you'd better hope they do it to Julia.
			One-way_ANOVA has been viewed 16571 times in the last 30 days.
	I believe it should read something like:
	:: The sum.... as ''n'' → ∞. If the sum converges to a finite value, the series is said to converge, otherwise it is said to diverge.
			Here is text I copied from the Keyword Tool in Google Adwords:
	If my understanding of the maths is incorrect, then it should read:
			Keyword Competition Global Monthly Searches Local Monthly Searches
			one-way anova Low 49,500 18,100
			two-way anova Low 49,500 18,100
			one-way analysis of variance
			Low 3,600 1,000
			two-way analysis of variance
			Low 2,400 720
			You can see that searches with ANOVA are much more frequent than searches with "analysis of variance." This argues for using ANOVA in the title if you want searchers to more easily find your Misplaced Pages article.
	:: The sum.... as ''n'' → ∞, if the partial sums converge to a finite value. If the partial sums converge to a finite value, the series is said to converge, otherwise the series is said to diverge.
			You can also see that search frequency for one-way ANOVA and two-way analysis of variance are about 20:1 in Google, but the view frequency in Misplaced Pages is about 4.5:1. You could say that people are viewing two-way analysis of variance through links in Misplaced Pages, but there are actually no articles that link to it, at least that I can find. I attribute the disparity in the Google and Misplaced Pages ratios to people wanting to find two-way ANOVA in Misplaced Pages, finding nothing, and then eventually trying the two-way analysis of variance or just analysis of variance search in Misplaced Pages.
	In this way the second sentence does not depend on the first sentence being true. Also note that I removed the ; and replaced with a ,
			Of course, now we have the redirects from the ANOVA titles to the articles, but my feeling is that this indirection will skew the search engine ranking for the articles downward from what they should be.
			I suggest we wait a few days and see what happens with the page view statistics for "One-way analysis of variance." Before your move, the article was getting around 600 views a day. If we see a significant drop in the page views, we know we should stick with one-way ANOVA, and probably go with two-way ANOVA titles.] (]) 22:38, 4 May 2012 (UTC)
	] 09:43, 3 August 2007 (UTC)
			== Rota quote on ]? ==
	:: You wrote:
			Hi Michael, I'm trying to track down a quote on the ] page which I think you added back in September 2006. On that page it says that ''This fact led Gian-Carlo Rota to ask "Why are negative sets multisets?".'' Do you happen to remember where you ran across that? I would really like to find a reference for it. Thanks! ] (]) 00:10, 21 September 2010 (UTC)
			: I believe in 1998 or '99 he had a paper in the '']'' that included that. I seem to recall that in three consecutive issues of the ''Intelligencer'' there were papers by him, which were lectures he had given at a coference. I think it was in one of those. ] (]) 00:37, 21 September 2010 (UTC)
			:: Thank you! I will look in those. ] (]) 01:18, 21 September 2010 (UTC)
			== Thanks ==
			Greatly appreciate your improvement of the ] page, and suggestion noted. Ta! ] (]) 05:22, 18 September 2010 (UTC)
			== An Honored Newbie ==
			Man thank u not undoing my edits but cleaning up "some clupsy notation". I'm very new yet, but for I can't believe in my eyes about the article (]) , I investigate the history, as I expected my edits were in the history, my edits were elementary but this very same reason is why I want to hear from u. There is nothing common about the start of the article (which u did I think) and the current situation. I don't mean that it should be as a text book. But what does "this result implies that all logarithm functions (whatever the base b) are ''' similar to each other. ''' ". Similar??. I also want your op about my edits(which are very basic as I admitted) ] (]) 22:42, 7 July 2010 (UTC)oz_an
			: I've done an edit concerning the part about similarity. Similarity means having the same shape. See ]. ] (]) 02:50, 8 July 2010 (UTC)
			== Thanks ==
			Thank you very much for help with stacked exponents. ] (]) 16:43, 8 August 2009 (UTC)
			Thanks for your ] edits.] (]) 22:35, 18 November 2013 (UTC)
			Thanks for your ] edits.
			== Dual vector space symbol ==
			Hi, do you know how to type in LateX the little v-like symbol commonly used for duals (e.g. dual vector space)? Thanks, ] (]) 16:49, 8 August 2009 (UTC)
			:Have you tried \vee as in: <math>X^\vee</math>. ] (]) 18:39, 10 September 2009 (UTC)
			=="Phenomena"?==
			You said ...
			::The Cambridge Dictionary includes this: "The term is now generally used to label the phenomena that a variable that is extreme on its first measurement will tend to be closer to the centre of the distribution for a later measurement." Does it really say "phenomena" instead of "phenomenon"?
			Yes, the version I have (2nd Edition) does say "phenomena". I don't have access to a later edition. ] (]) 09:57, 10 August 2009 (UTC)
			== Re ==
			Hi, Michael Hardy. I'm working on the article at the moment. It should be up in a day or so. ] (]) 05:15, 13 August 2009 (UTC)
			== Can you suggest a math field for ]? ==
			I guess that since mathematicians were involved in the origins of the concept it could be tagged with wikiproject math as well. But I'm not sure in which field to categorize it... ] ] 09:43, 13 August 2009 (UTC)
			== ] ==
			Hello there. Thanks for . Could you please add references to it - preferably as in-line cites. many thanks --] (]) 05:28, 16 August 2009 (UTC)
			==Question==
			Just curious, why did you add a discussion line on the article page of ] (I have reverted it!) instead of the talk page? --''] (]) 21:23, 16 August 2009 (UTC)''
			: I did '''not''' add it there '''instead''' of on the talk page. I clearly stated my position on the talk page. I will soon edit that section of the article accordingly. Tags saying the appropriateness of a section is disputed belong at the beginning of the section, not on the talk page. It's the same as with tags disputing the accuracy of articles.
			:
			: Accordingly, I've reverted your reversion. ] (]) 22:11, 16 August 2009 (UTC)
			::*Ah... I see what you mean now! Btw, I do monitor your page for a reply after I left a message, so there's really no need to go to mine and do a double job. Thanks! --''] (]) 22:26, 16 August 2009 (UTC)''
			== Just wanted to thank you ==
			for moving GADT to proper caps. I wanted to request the move, but I always found that requesting a move on the official channel was rather cumbersome, so I get a fit of laziness whenever I'm supposed to do it. ] ] 19:29, 19 August 2009 (UTC)
			: You're welcome.
			:
			: (Official channels aren't always the only way to do something.) ] (]) 19:38, 19 August 2009 (UTC)
			== MacRobert-E function ==
			Many thanks for helping launch the MAcRobert-E function article. The URL for the article currently is <http://en.wikipedia.org/MacRobert_E_function> while that for the Meijer-G function is <http://en.wikipedia.org/Meijer_G-function>;
			the latter uses a hyphen "-" where the former uses an underscore character "_". I think this should be unified one way or the other unless there is a good reason for this difference.
			] (]) 00:23, 20 August 2009 (UTC).
			==Another question==
			Mike, could you please take a look at this: ] (especially his edit summaries/history) and give me a honest opinion of what you think. Just so you'd know, there are 3 editors (myself included) who all felt that Starstylers need to clean up his act, as he's been very obnoxious and rude to almost everyone he disagrees with (especially to me, ] and ]). Even when evidence are abound to indicate that he's pushing his point of view on certain article pages here on Misplaced Pages, oftentimes he would labeled us with all sorts of names instead of working together to come to a common consensus. And quite frankly, his disruptive behaviour is hurting Misplaced Pages on a few wikiproject such a ], ], ] and ], take a look at them and you would certainly notice issues with neutrality (NPOV). --''] (]) 04:55, 20 August 2009 (UTC)''
			== A question sill unanswered after 4 years on this wiki ==
			See ]. ] ] 01:20, 21 August 2009 (UTC)
			: The same issue appears at ]; I've elaborated my objection there since that article gets more love. Some people appear deeply convinced that one must have named functions in lambda calculus and that the fixed point combinators help us get rid of the names. Or something like that. I don't quite comprehend their line of reasoning. ] ] 05:48, 21 August 2009 (UTC)
			:: I figured out what these guys . ] ] 07:20, 21 August 2009 (UTC)
			== Talkback ==
			{{talkback|Wuhwuzdat}}
			]]] 12:39, 22 August 2009 (UTC)
			== Tiger graph ==
			Michael, the article was created in January 2007, and you formatted it a day ago. However, I think it should be deleted because it is an original research that's open to interpretation. If you agree, please delete it the proper WP way. Thanks. ] (]) 20:15, 24 August 2009 (UTC)
			== Thanks for some pi ==
			Although I consider myself quite intelligent, I sort of never took a liking to math any more difficult than high-school level, and so when I see things like a sigma and x (or k) to the limit as it approaches zero or k! -- I immediately shut down. Fortunately, the third article you suggested doesn't have any of those things until the third section, so I may read up to there. Conceptually, though, I think math is wonderful, hence my recent questions that stir my fancy -- I just need them explained so that I can understand them :) Thanx for your help! ''']''' <sup>(] | ])</sup> 23:59, 24 August 2009 (UTC)
			== Thanks for the articles ==
			Thank you so much for giving me links to ].--] (]) 00:47, 25 August 2009 (UTC)
			== ] ==
			There seems to be another inequality concerning convex functions known as "Popoviciu's inequality" (see ). In fact, it seems that "Popoviciu's inequality" refers to the other one. ] (]) 15:02, 25 August 2009 (UTC)
			: OK, for now I've moved it to ]. Can you create an article on the other one? That could be called "Popoviciu's inequality", and it would bear a disambiguation link at the top:
			::: ''This is not about ].''
			: (or words to that effect). Then we can sort out the incoming links to the two articles. ] (]) 18:36, 25 August 2009 (UTC)
			:: Hi, I've created the short article ]. Please take a glance at it with your excellent eye for formatting errors and the like. Actually, there seems to be yet another Popoviciu's inequality also from 1965, that is similar to ], but the one in the article (about convex functions) seems to be the most common one. Cheers, ] (]) 17:34, 26 August 2009 (UTC)
			:::I suggest to merge these inequalities (together with ] and others) into ] or similar, see for sort of a survey.
			:::: It doesn't make sense to include the ] article created by Shreevatsa in anything called "variance bounds", since that's not what it's about. ] (]) 22:55, 26 August 2009 (UTC)
			:::::Well, I meant ]. (] (]) 22:58, 26 August 2009 (UTC))
			:::: You suggested merging '''"these"''' inequalities. The word "these" is plural; it implies more than one. I thought you meant the two inequalities attributed in the article titles to Popoviciu. So now it's unclear what you meant by "these". ] (]) 23:20, 26 August 2009 (UTC)
			== Type theory articles of interest to mathematicians ==
			Apparently, I've ] at least one mathematician that ] as used in computer science, and programming languages in particular, is "the same" as the one from mathematics. Since computer scientits "took over" type theory in the '70s by greatly expanding the topics that they consider to be part of this theory, I've suggested during that discussion that a {{tl|distinguished subcategory}} be created to flag those articles that are ''also'' (or especially) of interest to mathematicians, so they wouldn't have to wade through that many computer science related topics. Since you seem to have the time to go through type-theory-related articles (wikistalking!), perhaps you could make that subcategory and add the appropriate articles to it. I wouldn't dare decide what is and what isn't of interest to mathematicians from ]. (Initially Arthur Rubin wanted disjoint categories for math and CS type theory. As far as I can tell he's not interested in following up on the discussion anymore.) Thanks, ] ] 07:47, 28 August 2009 (UTC)
			: By the way, at the impertinence/ignorance of some computer scientist? (I can't believe that Springer let that book get published with the claim sticking out in a box like that, not in some obscure footnote...) ] ] 08:12, 28 August 2009 (UTC)
			:: He probably "missexpressed" himself given that English is not his native language. On the next page he does give credit to mathematicians for inventing the concept. He's actually quite clueful later in that he explains that the concrete implementation of a type as done in implementations of programing lanuges is a ] of a type. And he gives models other than sets, e.g. ]'s lattices. ] ] 09:30, 28 August 2009 (UTC)
			I am considering writing an article on ] because ] is currently linked in most type theory articles instead of just "type" even in really odd contexts like function types. "Data type" means different things to different people. The definition we have at ] is actually that of an ], (which has ]), or rather just a set model thereof, so it's quite unsuitably linked in many places. ] ] 09:30, 28 August 2009 (UTC)
			: By the way, if look at the in our article on ], you'll see how misleading our article is. It changed "Data type ''as'' set of values with set of operations", which is a topic amongst others in type theory (different models exist) to "A data type ''is'' a set of values and the operations on those values." Many article on computer science around here are way more sloppy and misleading than that, so I'm not really surprised. ] ] 09:38, 28 August 2009 (UTC)
			== ] ==
			Hey, thanks for your edits at ] - the typesetting looks much better now, without great bulges on certain lines. I had experimented with scriptstyle/textstyle commands to achieve this goal, but with little success, and I hadn't realised that the HTML equivalents available were as extensive as they seem to be. I was just wondering if you had information on how widely supported (operating system/web browser-wise) some of these symbols are? (and apologies if this is just a newbie question) I found the article ] now, which is helpful, but while it states at the top that the symbols given should work on "most browsers", ] even suggests as an example that it might be wise to avoid the use of ∈ for compatibility reasons (under "Special symbols"). Do you have any further information? Thanks! ] (]) 09:13, 29 August 2009 (UTC)
			== Error ==
			Thank you for picking up my error and replacing it with something suitable. It was completely absurd, yes. I just saw an image wanting of a caption and added something brief based on what I thought I was seeing in the diagram. I'll attempt to be more careful in future. Best, —<strong>]</strong>] 16:24, 31 August 2009 (UTC)
			== Thanks (mostly) for edits of "Product Integral" ==
			Hi Michael
			Thanks for your edits of Product Integral ... mostly.
			I disagree with your thoughts on type III (dx-less) product integrals, but am not in a position to argue the case. Perhaps in the future.
			Regards,
			] (]) 01:30, 2 September 2009 (UTC)
			: You're welcome.
			:
			: I don't think I ever saw the "Type III" integrals; I came along long after those were expunged from the article. I looked at the history and they didn't look quite right as they stood, but I'd have to think about that further. (Actually, the limit looked as if it would always diverge in any reasonable casses. Maybe that can be fixed by rephrasing it somehow&mdash;I don't know.) ] (]) 02:10, 2 September 2009 (UTC)
			== about parentheses ==
			Dear Michael, I have a question of wiki-style:
			:<math>\textstyle\log(x)</math> vs <math>\textstyle\log\,x</math>
			:<math>\textstyle\mathrm{Re}{(\alpha)}</math> vs <math>\textstyle\mathrm{Re}{\,\alpha}</math>
			and so on. Using both in the same article according to aesthetics is acceptable? I found no clue in the MOS, but I see you are quite careful in these matters, so I'd like to hear your opinion. My point is that in some cases parentheses are just too many... Best, --] (]) 12:51, 7 September 2009 (UTC).
			I don't have strong preferences between the two forms above when taken out of context, but I think in some contexts I would prefer one or the other. ] (]) 19:50, 10 September 2009 (UTC)
			== My bad ==
			Regarding my recent edit of that article that used to be about detecting imaginary roots of a quadradic, sorry for my error and thank you for pointing it out to me.
			You are doing a great job, keep up the good work. I never thought that this article contained very much in the way of original research, and like others I seem to remember a high school algebra teacher explaining about how when the parabola did not touch the x axis, that this meant that the intersection was imaginary. Maybe it was a circle and a line, I can't be sure, but he seemed to be arguing in a graphical manner for the existence of imaginary numbers.
			A concept that I really did not appreciate at the time.
			] (]) 01:52, 8 September 2009 (UTC)
			== Order Dab ==
			It's truly a shame that you are involving yourself in that matter without understanding ] & ] beyond the point where you have to ask about {{tl|SIA}}. We have colleagues who may choose to remedy that, but even if your tone and manner inclined to me to doing so, i'm flying to the Alps today, and it is a truly attractive prospect that i'll have forgotten this matter existed before a realistic temptation to do anything about it can arise.<br>--]•] 17:35, 9 September 2009 (UTC)<br>
			: OMGWTFBBQ, Michael Hardy, you've lived all your life for nothing. You don't even being to comprehend the depths of WikiProject:Disambiguation, seee-yaaa from the ALPS. Sorry, I could not resist. ] ] 18:08, 9 September 2009 (UTC)
			: You could have just pointed Michael to ] instead... ] ] 18:24, 9 September 2009 (UTC)
			Whatever may be the facts concerning "SIA" and WikiProject&nbsp;Disambiguation, the result that Jerzy brought about was irrational and perverse. If we should have a list of organizations called "orders", it seems clear that we should '''not''' achieve that result by moving the ] disambiguation page to that title and then deleting all of its contents and writing that new page over it. ] (]) 01:40, 10 September 2009 (UTC)
			== Covariance ==
			Hi, I was wondering if you could provide me a brief explanation of why you deleted the example computation of covariance? I would like to fix the errors. I am referring to the page as it looked on this date:
			http://en.wikipedia.org/search/?title=Covariance&oldid=307487127
			] (]) 08:01, 12 September 2009 (UTC)
			: The example is written in such a way that I have to '''guess''' what was meant, and if construed literally is quite badly wrong. First it says
			:
			:: Take the two random variables to be:
	::		::
			:::<math>
	::: The sum of an '''infinite series''' {{nowrap|1=''a''<sub>0</sub> + ''a''<sub>1</sub> + ''a''<sub>2</sub> + &hellip;}} is the ] of the ] of '''partial sums'''
			{\color{blue}X} = \begin{bmatrix} x_1 \\ x_2 \\ x_3 \\ x_4 \end{bmatrix}
	:::
			= \begin{bmatrix} \color{blue}1 \\ \color{blue}2 \\ \color{blue}3 \\ \color{blue}4 \end{bmatrix}
	:::: <math>S_n = a_0 + a_1 + a_2 + \cdots + a_n,</math>
			\qquad
	:::
			{\color{red}Y} = \begin{bmatrix} y_1 \\ y_2 \\ y_3 \\ y_4 \end{bmatrix}
	::: as ''n'' → ∞, if the partial sums converge to a finite value, the series is said to ]; otherwise the series is said to ].
			= \begin{bmatrix} \color{red}3 \\ \color{red}3 \\ \color{red}4 \\ \color{red}3 \end{bmatrix}
			</math>
			:
			: At first it looks as if ''random vectors'' is meant. In that case the covariance would be a 4&times;4 matrix. Then it looks as if what is meant is ''constant'' random vectors. In that case the covariance would be the 4&times;4 matrix of zeros. Finally after taking the whole thing in to account, I begin to suspect that what was intended was that the two random variables take values equal to the four components in the random vector with equal probabilities. Finally, it seems to be saying the expected value of a random vector is a scalar. What was actually meant was the average of the components of the vector. When working with data sets consisting of finitely many discrete observations, that sort of matrix notation is used, but I've never seen the expectation operator used in that way. I think once I've deciphered it, I can see that the computation is correct, but it not only requires deciphering, but also is wrong if the notation is construed in the usual ways. ] (]) 15:12, 12 September 2009 (UTC)
			== Uniqueness for Weierstrass transform ==
			If F(t) is a constant function F(t)=c, is it true that f(t)=c almost everywhere?
			I guess more generally that if F1 and F2 are the transforms of f1 and f2 and F1=F2, then
			f1=f2 almost everywhere, but for what I'm doing, I only need the simple case where F is a constant. It seems to be true by applying the inverse of the transform, but the article is not
			clear about when the inverse exists. Is there a formal theorem that would apply?] (]) 15:33, 14 September 2009 (UTC)
			: Your second statement is correct if it holds when F1&nbsp;=&nbsp;0. I believe that is correct, and I suspect if I thought about it for a few minutes, I could give either an argument or a link to a Misplaced Pages article where it's found. ] (]) 01:50, 15 September 2009 (UTC)
			:: I suspect your first proposition (and maybe your second) follows from an exercise in ]'s famous book on probability. ] (]) 01:50, 15 September 2009 (UTC)
			== ] ==
			I hate to give the impression of canvassing, but Linas is clearly not going to listen to editors/admins he does not have much respect for. Perhaps you could have a word with him and advice him to calm down and stop using invectives that will only get him blocked or even banned? Linas already got blocked, block extended, and locked from his talk page too, plus there's already an ANI thread where some asked for his banishment. I already asked ] to contact Linas, but then I recalled Carl wants to avoid the appearance of cabalism amongst Math editors, so he might choose to stay uninvolved. Thanks. ] ] 19:47, 14 September 2009 (UTC)
			== Thanks ==
			Thanks for your helpful comments on the ]! I now see the point of these vague descriptions at the beginning of mathematical articles. Cheers ] (]) 11:58, 16 September 2009 (UTC)
			== Equation arrays ==
			How might one include an equation array in Misplaced Pages? In LaTeX I would type
			\[ \begin{eqnarray*}
			a &=& bc \ , \\
			b &=& cd \ .
			\end{eqnarray*} \]
			to get an unenumerated equation array. Where the ampersands surrond the things on each line which will be lined up in the final output. I've tried to use the eqnarray and eqnarray* enviroments on Misplaced Pages, but it won't compile. Any suggestions? <span style="font-family:Kristen ITC;"><span style="color:#FF6600;">~~</span> ] <span style="color:#009999;">(])</span> <span style="color:#FF6600;">~~</span></span> 15:39, 17 September 2009 (UTC)
			==Minnesota Meetup==
			<hr style="background:#fc6; border:#0cf 10px dotted;">
			<div style="float:left; padding:10px 10px 0 0; clear:left">]</div><div style="float:left; clear:none; padding:10px"><div style="font-size:150%; padding-bottom:0.5em">2009</div><div style="font-size:120%">Proposed date: Saturday, October 10.<br/> ].<br/></div></div><div style="font-size:100%; float:right; padding:10px">Please share this with anyone who may be interested. </div>
			<hr style=" clear:both; background:#fc6; border:#0cf 10px dotted;">
			<div style="clear:both; font-size:xx-small; text-align:right;">Delivered by ] (]) 21:33, 18 September 2009 (UTC)</div>
			==Mergeto==
			Thanks for your note, resolved. ''] ]'', 22:56, 18 September 2009 (UTC).
			== Referencing ==
			]Hi '''{{PAGENAME}}'''! An article you have been involved with has been tagged as being in need of further sources to avoid being deleted. If you can help with these issues please see ].
			== Theorem of repeating decimal ==
			Please refer to ]. What is your opinion?--] (]) 13:05, 23 September 2009 (UTC)
			== Re: Page move ==
			It's to name it like other similar articles; they can be seen in the ]. They are all named in a similar fashion. But yes, I have indeed given the article an incorrect title, and have now renamed it accordingly. <font face="Verdana">]&nbsp;(])</font> 03:05, 25 September 2009 (UTC)
			== dx ==
			Hello there. I understand your post about the definition of dx not making sense in terms of integration. For computational purposes I agree that dx should be treated like an infinitesimal quantity. This is adequate enough for someone who has started learning calculus. However, for someone like me who is sufficiently familiar with calculus and yet has not gone up the level of differential forms etc, I believe that using dx makes no sense in regard to differentiation and integration. Differentiation can very well be done without any reference to things like dy and dx, and in integration we merely need the fundamental theorem of calculus. (dx might denote the measure function or independent variable but that's all.) The only place we seriously encounter dx is in differential equations and they make sense if I take Anton's definition of dx being a variable. So I feel that at the amateur level this definition is somewhat useful.
			After having said all that let me add that I am a mathematical novice and your opinion will be of the highest value for me. Regards--] (]) 08:42, 9 October 2009 (UTC)
			== Talkback ==
			{{tb|Skittleys|ts=20:39, 10 October 2009 (UTC)}}
			== Empirical mean? ==
			I guess you're the one who first made it redirect to ]? It now points to ]. Anyway, could you pls have a look at ]. Because that plea had inspired only one (not particularly helpful) reply ages ago, I tried to obtain a better one with this note to its author, ]:
			:(Sorry this is nearly a year old, but...) in ] I seconded ]'s objection to an unexplained redirect. Consider the situation of a Misplaced Pages user who is reading ] or ] and encounters the term ''empirical mean'' but is unfamiliar with it. Such a user would likely click through the link and find himself inexplicably confronted with an article not about emprical means, but about arithmetic means.
			:Your reply to our perplexity was a suggestion to read about ]s. The first problem with that reply is that, residing as it does on a ], it will likely never be seen by our hapless user. A further problem is that even the article to which you referred us does not unambiguously define ''empirical mean''. And the worst problem with your suggestion is that the empirical-measure article may well be where some of our hapless users encountered the unfamiliar term to begin with!
			:I'd fix the problem if I thought myself qualified, but I don't. So I'm appealing to you to do so. Could you please edit ] to make clear (1) why any user expecting to land on an article about empirical means ends up here instead and (2) the meaning of ''empirical mean'', or at least the relationship between empirical and arithmetic means.
			:Thanks in advance.—] (]) 01:59, 3 September 2009 (UTC)
			No dice. Could ''you'' by any chance help to patch this gap? Regards.—] (]) 16:19, 13 October 2009 (UTC)
			::Well, thanks for repairing the redirection. But the other problem remains. People reading various articles who encounter one term (namely ''empirical mean'') and click on it to learn more will still find themselves dumped at an article about a different term—now instead of wondering if the term is synonymous with ''arithmetic mean'' they get to wonder whether it's a synonym for ''sample mean.''
			::Request... could you either add something like "also known as '''empirical mean'''" in the first line of ] or else add '''some''' explicit discussion of the similarities and differences between these two topics that we are left to infer do bear some mutual affinity.—] (]) 12:42, 16 October 2009 (UTC)
			== Talkback ==
			{{talkback|Skittleys|ts=09:45, 14 October 2009 (UTC)}}
			] (]) 09:45, 14 October 2009 (UTC)
			== ] ==
			As you have recently contributed to the article and seem to have enough knowledge on the subject to make a fair judgement on whether it's ] or not, you may have an opinion of its suggested merge with ]. If you do please discuss it ], as the ] currently seems to be in deadlock, and this is causing a large edit war across both articles. ] (]) 18:31, 20 October 2009 (UTC)
			== Question for you ==
			at ]. ] (]) 22:39, 31 October 2009 (UTC)
			== Re: Too much TeX ==
			{{Talkback|Nbarth|Too much TeX}}
			''(Actionable reply, if you could comment – thanks!)''
			== Merger of Sudbury Valley School and Sudbury school ==
			I have proposed the merging of Sudbury Valley School into Sudbury school. If you would like to vote on the merger, please visit ]. ]] 19:03, 11 November 2009 (UTC)
			== Talkback: Indecomposable ==
			{{talkback|Nbarth#Huh.3F}}
			== clarification ==
			{{Talkback|ShelfSkewed|clarification}}
			== Balanced prime ==
			Thanks for weighing in at ]. For unclear reasons I typed 47 instead of 53 as second term into OEIS...Nevertheless, we do have a fair stub at ] and this name is uncommon, so I took the opportunity to delete it per the brand new speedy deletion criterion ] that i actually opposed. If you have further comments on the article, the deletion or the CSD, let me know or comment at the appropriate talk page.--] (]) 15:08, 30 November 2009 (UTC)
			== Talkback: Harish-Chandra ==
			{{talkback|Nbarth#Hyphenated name}}
			==Suggested changes to Monty Hall problem==
			You are invited to join the discussion at ]. ] <small>(])</small> 04:09, 3 December 2009 (UTC)<small> (Using {{]}})</small>
			== Re: ] ==
			Hi, Could you please reconsider the tone of your posting at the above AfD, I found it a little rude. I'm sure that wasn't your intention. Also, could you please remove the long list of other articles that haven't been nominated for deletion, as it disrupts the conversation and makes replies to your questions difficult, and note that the article in question is "Catalog of articles in probability theory", not "List of mathematics topics". The problem I had with the article is that it cannot be edited in the usual way due to a notice on the page and a bot which edits the article based on markup on the talk page (hence non-standard). This isn't compatible with our editing policies. However, I have removed this restriction (see the previous lead on the article) and proposed a compromise and I am more than willing to withdraw my nomination. If after you have removed the long list you leave your questions I will answer them at the AfD. Thanks, <small><span class="autosigned">— Preceding ] comment added by ] (] • ]) </span></small><!-- Template:Unsigned -->
			::: "The problem I had with the article is that it cannot be edited in the usual way due to"
	::		::
			:: ...and a problem I have with your nomination of this article for deletion is that you nowhere explained in your proposal for deletion that there is any problem with editing. You should make your case in your proposal. ] (]) 17:17, 6 December 2009 (UTC)
	:: It said "A if B, C". Whether that meant
			:::: I seem to have annoyed you, and that was not my intention. I myself removed the restriction after some comments on the AfD made clear that the bot wouldn't break the article, and I was yet to post about this at the AfD (due to real life getting in the way). Please see the old lead which explicitly banned normal editing. I'd rather you didn't refer to me as "Verbal", but simply Verbal. Feel free to ask me questions on my talk page. Thanks, <span style="font-family:Papyrus">] <small>]</small></span> 17:30, 6 December 2009 (UTC)
	::: * A is true if B is true,
			:: I wouldn't have guessed that there was a problem with manual editing by reading your deletion proposal; it looked as if you simply wanted to delete an article because it looked a bit unusual to you. ] (]) 21:11, 6 December 2009 (UTC)
	::: or
	::: * if B is true then C is true
	:: could not be discerned. So I changed it. ] 14:10, 3 August 2007 (UTC)
			== Pentti Linkola ==
	I note that it has now been changed. However, as can be seen, I did understand (I should also have split it into two sentences as I did above, though I disagree the meaning could not be discerned). Your comment was unwarranted, and as a respected editor I would hope that you would consider previous edits carefully. Except in cases of vandalism, insults when undoing cheapen wikipedia and discourage participation.
	] 10:41, 6 August 2007 (UTC)
			I noticed that you did some work on this article, and would like to expand it to include his recommendation (in ''Can Life Prevail'') that the UN develop hit squads to target large urban population centers (with neutron bombs as I recall), and also the discussion on the 9/11 terrorists being "superior moral human beings" for their actions. Understanding that this is a BLP, that NPOV is important, and that including secondary sources is nearly impossible as they are difficult (at best) to find, what is your feeling on this? ] (]) 16:54, 7 December 2009 (UTC)
	== Reply ==
			: I had thought the reason for using secondary rather than primary sources was to indicate that a concept is in standard use, rather than only that the original author used it. That doesn't seem to apply to a situation like this. But I'm not really familiar with the discussions on that. If you can cite reliable sources showing that he proposed those things, I think they should be included. ] (]) 16:58, 7 December 2009 (UTC)
			== Help with ]-related content ==
	I'm sorry? Your unwarranted hostility and assumption of bad faith are beyond measure. I closed the discussion merely because it was deleted, and passed no judgment on the article. I demand you to retract your blatantly false and deceptive statements regarding my involvement. —''']''' 03:17, 6 August 2007 (UTC)
			I am looking for more help at the ], particularly with our new ]? Perhaps you would you be able to help us? I could send you the login information for the Bolognia push if you are interested? ---] (]) 01:07, 9 December 2009 (UTC)
			== Fourier transform on finite groups ==
	: I am utterly sick of the incessant holier-than-thou attitude of illiterate crackpot vandals whose only purpose in life is to delete Misplaced Pages articles because they're unwilling to understand what they're about. This is such a case. When you saw that the article had been deleted improperly, other courses of action were open to you. ] 03:23, 6 August 2007 (UTC)
			I have some questions about the ] article, and since you have edited every math-related article on Misplaced Pages, I decided to ask you.
	::So it is my fault because my actions reflected reality? It is not my responsibility that the article was deleted. My closure was to only reflect the situation, not because it was done improperly. Perhaps you could have politely asked Sr13 or me to undelete the article because it was deleted by unusual means, but your initial (and still ongoing, for reasons unknown to all but you) incivility and personal attacks deserve widespread ridicule. —''']''' 03:26, 6 August 2007 (UTC)
			What are the ]s of G? Irreducible representation redirects to ], which, despite being English, I have trouble understanding. I can guess – but if I guessed right, then there shouldn't be any <math>d_i</math> in the inverse formula. It's supposed to be the "degree" of the representation, which is supposed to be the size of the matrix, according to ]. Considering the elements expressed as permutation matrices over the set of group elements, diagonalized into block-diagonal matrices and calling each block-diagonal matrix a representation of the element, the given formula becomes correct if the <math>d_i</math> is omitted from the inverse. (Sorry if my use of the terminology is incomprehensible.)
	Speedy deletion when some people are arguing in favor of keeping the article is clearly forbidden. The deletion was vandalism. It was not just "unusual" it was improper. If someone inserts the word "fuck" in a random location in the middle of an article, I could ask that person politely to revise it. If I describe it as "vandalism" you could then complain that by using that word I am uncivil and hostile. It's exactly parallel to the present situation. ] 03:31, 6 August 2007 (UTC)
	:No, it is not parallel by a wide margin. What you essentially did was bawl at me for doing a housekeeping task. Shameful. —''']''' 03:36, 6 August 2007 (UTC)
			As an example of what I'm arbitrarily guessing I'm supposed to do, the dihedral group D<sub>4</sub> has generators m, n, where m<sup>2</sup> = n<sup>2</sup> = (mn)<sup>4</sup> = I. The action of m and n on the set (I, m, nmn, nmnm, n, nm, mn, mnm) is then:
	::: Michael, what Kurykh did was simply performing the formality of inserting the "close" tag (so that the discussion could be archived). The article was deleted by ] more than half a day before, not by Kurykh. Perhaps you need a wiki-vacation or something. :) ] (]) 03:29, 6 August 2007 (UTC)
			:<math>
			m = \begin{bmatrix}
			0&1&0&0&0&0&0&0\\
			1&0&0&0&0&0&0&0\\
			0&0&0&1&0&0&0&0\\
			0&0&1&0&0&0&0&0\\
			0&0&0&0&0&0&1&0\\
			0&0&0&0&0&0&0&1\\
			0&0&0&0&1&0&0&0\\
			0&0&0&0&0&1&0&0\end{bmatrix},
			n = \begin{bmatrix}
			0&0&0&0&1&0&0&0\\
			0&0&0&0&0&1&0&0\\
			0&0&0&0&0&0&1&0\\
			0&0&0&0&0&0&0&1\\
			1&0&0&0&0&0&0&0\\
			0&1&0&0&0&0&0&0\\
			0&0&1&0&0&0&0&0\\
			0&0&0&1&0&0&0&0\end{bmatrix},
			P = \frac1{\sqrt8}\begin{bmatrix}
			1& 1& 1& 1& 1& 1& 1& 1\\
			1& 1& 1& 1&-1&-1&-1&-1\\
			1&-1&-1& 1& 1&-1&-1& 1\\
			1&-1&-1& 1&-1& 1& 1&-1\\
			2& 0& 0&-2& 0& 0& 0& 0\\
			0& 2&-2& 0& 0& 0& 0& 0\\
			0& 0& 0& 0& 2& 0& 0&-2\\
			0& 0& 0& 0& 0& 2&-2& 0\end{bmatrix}
			</math>.
			The matrices P<sup>-1</sup>mP and P<sup>-1</sup>nP are block diagonal with 4 1x1 blocks and 1 4x4 block. Are the irreducible representations of D<sub>4</sub> (reading the blocks of P<sup>-1</sup>mP and P<sup>-1</sup>nP):
			:<math>
			\rho_1(m) = \begin{bmatrix}1\end{bmatrix}, \rho_1(n) = \begin{bmatrix}1\end{bmatrix}
			</math>
			:<math>
			\rho_2(m) = \begin{bmatrix}1\end{bmatrix}, \rho_2(n) = \begin{bmatrix}-1\end{bmatrix}
			</math>
			:<math>
			\rho_3(m) = \begin{bmatrix}-1\end{bmatrix}, \rho_3(n) = \begin{bmatrix}1\end{bmatrix}
			</math>
			:<math>
			\rho_4(m) = \begin{bmatrix}-1\end{bmatrix}, \rho_4(n) = \begin{bmatrix}-1\end{bmatrix}
			</math>
			:<math>
			\rho_5(m) = \begin{bmatrix}0&1&0&0\\1&0&0&0\\0&0&0&-1\\0&0&-1&0\end{bmatrix}, \rho_5(n) = \begin{bmatrix}0&0&1&0\\0&0&0&1\\1&0&0&0\\0&1&0&0\end{bmatrix}
			</math>, or am I guessing wrong? If my guess is right, then erasing <math>d_i</math> from the inverse gives the right result. I can't find an easily understandable article which says clearly what to do, so I'm guessing.
			Thanks – ] ] 23:55, 10 December 2009 (UTC)
	The discussion was ongoing and should not have been archived. The deletion was an instance of something clearly forbidden; it was vandalism, not a good-faith edit. ] 03:32, 6 August 2007 (UTC)
			:Hmmm, it seems I'm not that good at diagonalizing sets of matrices... My <math>\rho_5</math> could be simplified to two identical blocks of <math>\rho_5(m) = \begin{bmatrix}1&0\\0&-1\end{bmatrix}, \rho_5(n) = \begin{bmatrix}0&1\\1&0\end{bmatrix}</math>, which is consistent with the <math>d_i</math> factor in the article. If each block of NxN matrices happens to be duplicated N times for some reason I don't yet understand, then it would explain the need for the <math>d_i</math> factor... In which case there isn't any question left for you to answer. ] ] 17:36, 11 December 2009 (UTC)
	:The discussion HAD been ongoing, a sufficient consensus HAD developed, and your wheel-warring, logic-chopping Wikilawyering, and objectively false characterization of what happened as "vandalism" makes me question your suitability to hold the admin bit. I've re-added the AFD tag and reopened the discussion, and in about half-a-day it'll comply with your over-legalistic interpretation of guidelines. If you have a reality- and/or policy-based objection, now might be the time to make it. ] (]) 04:56, 6 August 2007 (UTC)
			I haven't worked on '''every''' math article, and this one isn't my strongest point. But if you take it to ], you'd probably get some reasonable replies fairly quickly. ] (]) 20:14, 11 December 2009 (UTC)
	To say that a sufficient consensus had been reached is absurd nonsense. ] 05:17, 6 August 2007 (UTC)
			== Regarding move ==
	:Let's add "sputtering and hand-waving" to the list above.
			undid ]'s move. I strongly agree with your version of the title. The ] section of the manual of style clearly needs to be adjusted. ] (]) 02:43, 11 December 2009 (UTC)
	:Meantime, a math test, regarding the claims of this being improperly closed.'':
			== Too many capital letters ==
	:*Opening of AFD: 14:53, July 26, 2007
	:*Deletion of article: 08:36, July 31, 2007
	::*Elapsed time: 4 days, 17 hours, 17 minutes
	::*Length of time this was "closed early": 6 hours, 53 minutes
	:*Number of "Delete" votes: 6
	:*Number of "Keep" votes: 1
	:*Actual improvements/changes to article during course of AFD:
	::*One addition of new factoid:
			On my user page you commented:
	:As I said, if you have actual reality- and/or policy-based objections, now might be the time to make them. --] | ] 05:55, 6 August 2007 (UTC)
			:Please look at . ] clearly requires lower case in this context. ] (]) 02:07, 12 December 2009 (UTC)
	::(EC) The debate has now run for several additional hours (it was only closed a few hours early to begin with, that's pretty routine, we usually don't measure them down to the minute), and you've reversed ''three'' closes thus far. I would very much like to remind you that ] is very much disallowed and has gotten people desysopped, and really is bad practice. We have DRV if you disagree with the close, but just continually undeleting isn't the way to go. (As I do believe very strongly that wheel warring is harmful, I will not delete again, but would strongly encourage you not to reverse any additional closes.) ] <small><sup>]</sup></small> 05:56, 6 August 2007 (UTC)
			I salute the effort to make such corrections. I also applaud the provision of a link to the source of motivation for the change. As a robot who feels no human emotion, I'm all down with that. :P
	The way AfD is run needs to be scrapped completely and started over. I'm sick of the fact that the kind of people who hang around there are allowed to be considered good people. They're illiterate bullies. They hate people who have studied and who know something. There are lots of people there who just go around deleting stuff on the grounds that they're unwilling to be familiar with the subject matter. Most people on Misplaced Pages are the opposite of that. ] 06:13, 6 August 2007 (UTC)
			But as a meta-comment, I'd say that one has to be a little careful of turning off sincere ''human'' editors with a personally-directed nitpick. If you look at the meat of my changes, I rewrote an entire introduction to make it clearer: . You changed exactly 4 characters. I may think that's a good change, but still...a lot of wiki is about how we motivate each other. And I'm especially concerned about how new users (who are sensitive to criticism) would feel if they had made such an edit and that's all the feedback they got! Alas...
	You say I've reversed closes before. Be specific. I am not aware of such cases. I am aware of pointing out on previous occasions that those who spend most of their time on AfD are misanthropes not interested in anything.
			So thank you for the correction. But I think in my case (and the case of anyone who's been around wiki a while) you can just make the change and document the "why" in the changelog, we'll see it and absorb it there. The user talk page is a better place to emphasize how grateful we are to each other for making the whole thing better, with a little bit of "hey, check out this link, it may help in the future" tacked on.
			Best, Meta ] (]) 09:08, 12 December 2009 (UTC)
			== Orbital integral ==
			Actually, I tajgged it as being like an essay or personal reflection. It looked like an essay do I tagged it - simple. ] (]) 12:41, 15 December 2009 (UTC)
			==]==
			I find that edit odd too. I was trying to move a full stop before references and may accidentally have edited an old version. I am not attached to the content. --] (]) 20:53, 15 December 2009 (UTC)
			== Talkback ==
			{{tb|User talk:Intelligentsium#Images}} <font style="font-family: Vivaldi">]''']'''</font> 01:06, 24 December 2009 (UTC)
			== ? ==
			Hello, why you change the name of the articles ? — ] (<big>]</big>) 21:51, 29 December 2009 (UTC)
			: Today I moved ] to ] for the purpose of distinguishing him from another person with that name, and in order to make ] into a disambiguation page. I also moved a couple of articles that began with the words "Diffie-Hellman" to titles beginning with "Diffie&ndash;Hellman", because ] prescribes that way of using dashes. ] (]) 23:00, 29 December 2009 (UTC)
			== ANI ==
			You are mentioned at the ]. ''']]''' 07:18, 31 December 2009 (UTC)
			: I clicked on the link you provided and it doesn't link to anything that mentions my name. Please try again. ] (]) 07:20, 31 December 2009 (UTC)
			::. ''']]''' 07:23, 31 December 2009 (UTC)
			::It's ] and frankly yor remarks in both links appear to be somewhat condescending. While I have no idea what promted your remarks, the aim is to rise above any provocation. ] ] ] 07:38, 31 December 2009 (UTC)
			== Hola :) ==
			Español: Hola amigo wikipedista podrias mejorar el articulo ] (This appears to be English Misplaced Pages's first article created in the year 2010). Saludos ] ] (]) ]]] 01:29, 1 January 2010 (UTC)
			== Double redirects ==
			Thanks for the information (and help) concerning double redirects. ] (]) 18:24, 2 January 2010 (UTC)
			== Mathematics#How_to_factorise ==
			Hi Michael.
			Feel free to argue against me, but please keep cool and do not call me (nor anybody else) silly. Regards. ] (]) 23:19, 3 January 2010 (UTC).
			: I called some '''particular comments''' of yours silly. That is how they appear to me. ] (]) 23:28, 3 January 2010 (UTC)
			Nevertheless, it is out of order. And unfair too. I might have given the OP (and even you) some new information. Some mathematicians avoid solving algebraic equations if possible, not noting that numerical factorization of a polynomial is very easily done by computer. ] (]) 14:46, 4 January 2010 (UTC).
			{{Talkback|-m-i-k-e-y-}}
			== What is part of mathematics ==
			Michael, you may be interested in the following discussion, ]. Thanks. ] (]) 17:11, 5 January 2010 (UTC)
			==Why plural?==
			Yes, thanks. My error. I have ]. --] (]) 18:54, 7 January 2010 (UTC)
			== ] ==
			Michael, I left you a reply (in agreement with you) at ]. I hope the consensus is that such controversial changes can be undone. ] (]) 23:18, 7 January 2010 (UTC)
			: I would like a debate — ] (<big>]</big>) 23:36, 7 January 2010 (UTC)
			If anyone objects to the proposed move, and remains silent about their objections for more than three months after it's proposed on the talk page, then the only way they're going to be drawn into a debate is to actually move the page. Since no one's objected after more than three months, I've gone ahead and moved it. Of course, starting a debate was not my reason for moving it, but if anyone wants a debate, maybe this is what will bring that about. ] (]) 23:51, 7 January 2010 (UTC)
			:Well done. I see the user I hadn't mentioned here by name, has now popped up here too. Unfortunately, as you will see from his recent contributions, {{userlinks|Neustradamus}} has been unhelpfully removing hyphens from a lot of other articles containing adjectival phrases that should be hyphenated, e.g."free software licence" etc. It would be a lot of work manually undoing his edits using the Undo button, and obviously, I don't have access to the efficient admin-only revert tools. Would you mind going over his recent contributions to revert the changes? Thanks. ] (]) 00:27, 8 January 2010 (UTC)
			:: OK but have you see the revert ? Compare the license name after and before ? Now there is for example: "The GPL requires any derivative work that is released to be released according to the GPL while the BSD licence does not" (If I see a good license source : http://www.opensource.org/licenses/bsd-license.php it is license) and other ... so we must put the good name, you are not okay with me ? — ] (<big>]</big>) 00:42, 8 January 2010 (UTC)
			::: Sorry, I find it very difficult to communicate with you because of your poor English. You seem to be either ignoring or not understanding what everybody has already told you on your talk page and elsewhere. What is your point? ] (]) 00:53, 8 January 2010 (UTC)
			:::: It is strange, only you have a problem, it is clear, before there are good license names and after not (it is only a "c"/"s" problem if you do not see) — ] (<big>]</big>) 01:02, 8 January 2010 (UTC)
			I'm not sure "revert" is more efficient than "undo" (but let me know if I'm missing something). As far as I know, it has to be done with each article separately. ] (]) 00:33, 8 January 2010 (UTC)
			:I vaguely remember reading somewhere once upon a time that there is an admin-only mechanism for reverting ''en masse'' an editor's edits within a specified range of dates and times, but I am probably wrong about that. I'll just have to undo his edits manually. Thanks anyway. ] (]) 00:39, 8 January 2010 (UTC)
			Possibly you are right but I haven't used that. ] (]) 00:43, 8 January 2010 (UTC)
			:For what it's worth, the tool turned out to be (admin) ]. ] (]) 12:59, 8 January 2010 (UTC)
			::::...and as I've said, as far as I know, rollback works only one article at a time. ] (]) 18:23, 13 January 2010 (UTC)
			:::::Yes, although ] apparently works as an addon that can automatically revert all of the edits listed on any page of Special:Contributions/Username. ] (]) 21:57, 13 January 2010 (UTC)
			:: Which just on this very talk page. ] ] 13:28, 8 January 2010 (UTC)
			: OK because before I was a vandal or a bad guy... for information I added a reference "(or free software licence in commonwealth usage)", but the article is not good yet... but now it is in progress — ] (<big>]</big>) 00:53, 8 January 2010 (UTC)
			:: Now it is clear for you about open-source, this conversation has been of some improvement :) now you can rename:
			* ] (done)
			* ]
			* ] (done)
			* ] (done) — ] (<big>]</big>) 01:16, 8 January 2010 (UTC)
			: but I see Open Source on the official Open Source Initiative website : http://www.opensource.org/licenses — ] (<big>]</big>) 01:27, 8 January 2010 (UTC)
			That others do not know how to punctuate is not sufficient grounds for repeating their errors.—] (]) 14:28, 12 February 2010 (UTC)
			== Predicting number of items in a set ==
			For your information, see ].
			Regards ] (]) 13:03, 13 January 2010 (UTC).
			== diagonalizing a matrix? ==
			Michael,
			A question -- Suppose I had a plain-old ordinary matrix A with matrix elements A_ij such that A_ij = f(i*j) for some function f, and i*j is simply the ordinary product of the two indexes ... this is a symmetric matrix -- are there any "well known" theorems that can be applied to such a beast, beyond that which normal symmetric matricies might have? Anything that can be said about its eigenvalues, or the act of diagonalizing such a thing? I need a kick to get my brain started thinking about this -- I think I once saw something, but can't remember what. Thanks ] (]) 23:08, 14 January 2010 (UTC)
			== ] nomination of ] ==
			]An editor has nominated one or more articles which you have created or worked on, for ]. The nominated article is ]. We appreciate your contributions, but the nominator doesn't believe that the article satisfies Misplaced Pages's criteria for inclusion and has explained why in his/her nomination (see also ] and "]").
			Your opinions on whether the article meets inclusion criteria and what should be done with the article are welcome; please participate in the discussion(s) by adding your comments to ]. Please be sure to ] with four tildes (<nowiki>~~~~</nowiki>).
			You may also edit the article during the discussion to improve it but should not remove the ] template from the top of the article; such removal will not end the deletion debate.
			'''Please note:''' This is an automatic notification by a ]. I have nothing to do with this article or the deletion nomination, and can't do anything about it. --] (]) 01:12, 16 January 2010 (UTC)
			==Unreferenced BLPs==
			] Hello Michael Hardy! Thank you for your contributions. I am a ] alerting you that '''1''' of the articles that you created is tagged as an]. The ] policy requires that all personal or potentially controversial information be sourced. In addition, to ensure ], all biographies should be based on ]. If you were to bring this article up to standards, it would greatly help us with the current '']'' article backlog. Once the article is adequately referenced, please remove the {{tl|unreferencedBLP}} tag. Here is the article:
			# ] - <small>{{findsources|Richard Milner (fiction writer)}}</small>
			Thanks!--] (]) 20:09, 16 January 2010 (UTC)
			== Move to ] ==
			I have moved this back to the original name. The British Isles includes Ireland whereas Britain does not. The article could arguably have British Isles in the title and omit Ireland but this would cause problems from the Irish. This naming has previously been discussed by ]. ] (]) 01:06, 20 January 2010 (UTC)
			: The main purpose of the move was to change the hyphen to an endash. The hyphen is incorrect according to ]. ] (]) 05:19, 20 January 2010 (UTC)
			:: ... I see: you've moved it to a new title it never had before, with an endash rather than a hyphen. ] (]) 05:23, 20 January 2010 (UTC)
			== Talk:Cantor's first uncountability proof ==
			I hope you don't mind that I closed the discussion thread at ] between you and an IP editor. Of course you can unclose it if you would like, but it seems to me that the discussion is going downhill, rather than uphill, with more conceptual misunderstandings rather than fewer, and the IP editor's remarks are becoming more personally directed. &mdash;&nbsp;Carl <small>(]&nbsp;·&nbsp;])</small> 13:01, 22 January 2010 (UTC)
			== ] and ] ==
			Just a heads up, I read the reference (see ) you gave for the Logic Theorist proving the Isosceles triangle theorem and it didn't seem to me that it said what you added to the article, see the talk page for details. I blanked the section since it seemed like the actual story was rather boring, but maybe I'm misreading it. The article in general is still a work in progress since the proofs are mess, I'm working on them though.
			Also, I largely rewrote and expanded ] which is closely related. There are a few nicely worded phrases that I can't take credit for though. See the talk there for why I didn't merge the articles.--] (]) 00:12, 24 January 2010 (UTC)
			==<nowiki><math></nowiki> versus html==
			Dear Michael, I have noticed your inline typographical corrections to some of the articles I have recently edited, like changing <math>z\in D</math> to ''z''&nbsp;∈&nbsp;''D''. I had earlier tried to work with this html style, but then switched to just using <nowiki><math></nowiki> all the time, for two reasons:
			:1. The html looks disgusting, not balanced (for me) by the fact that its size fits the text more (though is often still not perfect). Actually, since some inline math formulas cannot be substituted by html, the sizes and shapes of math symbols vary all the time, which is really a huge problem, I think.
			:2. Learning and remembering the html encryption and the pain to decipher what others wrote do not seem worth the time and energy of the editors. I'm not actually capable of reading your html edits, and I'm pretty sure there are many mathematicians who don't contribute to Misplaced Pages because of such (real or imagined) barriers.
			Instead of coming up with innovative ways of making more readable html substitutes for math, like the crazy ''&fnof;'' for <math>f</math>, we should all use <nowiki><math></nowiki> just as $ in TeX, and hope that soon someone will fix this problem with html. In a year or 50, but it should eventually happen. Using <nowiki><math></nowiki> all the time might bring the date of the solution closer, since it will be more obvious to more people that something is to be fixed.
			Of course, you might disagree with my first point, that's a matter of personal taste, but the fact that you actually changed my edits suggests to me that there might be some strong style consensus about this matter. Is there anything like that? That consensus should obviously be questioned, then... :-) Maybe I should bring this up on the project page? And may I just revert your edits? (Of course, I would put back the other changes you made, like intro sentence structure.)
			Thanks, --] (]) 06:33, 27 January 2010 (UTC)
			: OK, I see what ] says about the issue: try to use html when possible, but do not rewrite other editors' texts, because it seems to be a highly emotional issue. It is... :-) --] (]) 06:05, 8 February 2010 (UTC)
			==helping with wikiproject statistics; odds page==
			Hi Michael,
			Thanks for all the work you clearly put into math and statistics! I've been using wikipedia for years as a resource in both of those areas, and find it very helpful.
			I do sometimes find things in statistics articles that seem unclear (especially for a layperson) or, less frequently, erroneous. For instance- the odds article has mistakes, as well as overlap with other articles. However, I'm hesitant to edit b/c my knowledge of statistics and probability are very limited, and I'm brand new to editing wikipedia.
			If one jumps in and changes things in reasonably basic stat/probability articles, are false or poorly done edits generally noticed and repaired quickly? If not, what would be the fastest/best way to make a suggestion for an edit known to more experienced editors who could verify that what I'm saying makes sense, and that it fits with the organization of statistics coverage that the current stat editing core has in mind?
			More broadly, I'm interested to learn more about wikiproject statistics and how an amateur stat enthusiast could get involved.
			Thanks,
			] (]) 12:22, 28 January 2010 (UTC)
			: Hello. Possibly posting at ], or in some cases at ], would be the best way to run suggestions past others. In many cases the articles own talk page could also be used. How well the latter approach would work may depend on how many people are watching the article. ] (]) 15:00, 28 January 2010 (UTC)
			== PI-ring ==
			Hi, can you do that magic that eliminates the < m a t h > tags in the article ] ? <small><span style="border:1px solid black;padding:0.5px;">]</span></small> 19:58, 30 January 2010 (UTC)
			: Especially those places where there is a subset symbol are terrible. <small><span style="border:1px solid black;padding:0.5px;">]</span></small> 20:00, 30 January 2010 (UTC)
			:: It seems, franklin, you don't agree with my view, two comments above, that html is worse than <nowiki><math></nowiki>... In the ] article, I can understand the complaint, but I still think this is not a good enough reason to use html... Also, I think that the typesetting Z<''X''<sub>1</sub>, ''X''<sub>2</sub>, ..., ''X''<sub>''N''</sub>> in the lead of that article is unacceptable for two reasons: 1. it starts with the inequality Z<X_1, not with an opening bracket of any sort; 2. what is Z? Looking at the link ], my guess is it's the integers, but I'm not sure. So, definitely <math>\Z\langle X_1,X_2,\dots,X_N\rangle</math> should be used, no html. --] (]) 05:35, 4 February 2010 (UTC)
			:: Anyway, could you please reply, Michael, to my questions above, so that I can continue working on those articles? --] (]) 05:35, 4 February 2010 (UTC)
			== re Can you suggest a math field for abstract rewriting system? ==
			mean-end analysis
			- vampares
			== Your Puzzle ==
			Hey thanks for making useful edits to ]! By the way, I believe that the answer to the puzzle on your User Page is that a space between the plus sign and the letter "e". I did not look at the code! Tell me if I am correct. Thanks, ] (]) 20:15, 3 February 2010 (UTC)
			: Hello. That's correct as far as it goes, but the more interesting question is whether you can figure out the difference between the ] code in one case and that in the other, and why that difference ought to have that result. ] (]) 20:45, 3 February 2010 (UTC)
			::I'm guessing here but I think that instead of letting TeX use the default spacing for Mathtype, you instead use "\," to make the space especially small, or even "\!" depending on the exact size of the space you want. ] (]) 01:42, 4 February 2010 (UTC)
			: That's far too easy. It's actually nothing of the sort. ] (]) 02:42, 4 February 2010 (UTC)
			== Tidying up ] ==
			Thanks for catching the nits! I'm so glad that there are Wikipedians out there who patrol the vast sea of content and are sensitive to such fine points as consistency in capitalization and the nuances of puncutation.
			When creating those references, I had shuddered to use a hyphen: well trained by ] and ], I really wanted to use the en-dash, but it had failed to register that there is a way to do so. Your speedily replacing my barely tolerable hyphens is greatly appreciated.
			I also appreciate stumbling across the tip on your user page about simplicity of ]itude.
			Although, again, I was (perhaps <nowiki>]ly</nowiki>) aware that simple ]s could be formed that way,
			it hadn't dawned on me that this fact almost guaranteed that ]ification of arbitrary length was likewise supported.
			(Sad to say, though, that hyper]ism does not enjoy similar support.)—] (]) 14:16, 12 February 2010 (UTC)
			== ] editing - Thanks! ==
			Michael - just caught your minor editing of ] - to which I have been, and will be, devoting considerable portions of my free time (it's my professional specialty, and the article needs upgrading). My immediate reaction: Oh, this guy knows how to edit. Some excellent minor but non-trivial catches.
			I do hope you'll visit the article often and continue to assist in quality control. I try to edit very tightly myself, but doing that consistently to one's own stuff can become a bit of a challenge. One goes blind, after a while. Fresh, well-informed, eyes are very welcome. THANKS! <strong>] (])</strong> 19:45, 12 February 2010 (UTC)
			==Apologies about poorly written question]==
			I'm a freak on Misplaced Pages--I only know basic cut and pasting, I'm bad at citationing and linking. I find the squiggles hard to see and confusing.(But at the least I could have titled the question.) I hope to learn editing skills soon. Best Wishes, ] (]) 05:19, 13 February 2010 (UTC)
			== Expand tags ==
			Expand tags indicate that there is discussion on the Talk page about what the editor thinks is too thin and what sorts of information is expanded. Such comments should really accompany those tags, because otherwise they're so vague as to be useless (IMHO, of course). Could you toss in a few sentences to explain your reasoning, and guide future editors? - ] (]) 20:36, 15 February 2010 (UTC)
			== Bollinger Bands ==
			Please restore the listing for Bollinger Bands to its correct nomenclature, "Bollinger Bands", from the change you made to "Bollinger band". A survey of the literature will show that they are almost universally referred to as Bollinger Bands. For example, see the standard college textbook on technical analysis, Technical Analysis: The Complete Resource for Financial Market Technicians, Kirkpatrick/Dahlquist, 2007, {{ISBN|0-1315311-3-1}}, pages 291-292 and 646. ] (]) 16:29, 23 February 2010 (UTC)
			: Is there a reason why the plural should be used in the article's title, notwithstanding the general norm that titles are singular (with certain exceptions)? ] (]) 17:26, 23 February 2010 (UTC)
			OK, looking at google books, using the search term "Bollinger band" (I think it's a case-insensitive search), I find using lower case, saying "After prices cross the expanded lower Bollinger band, wait for them to rise back above the lower band; then". And : "When a price is probing an upper or lower Bollinger band,". I also find some using capitals, and using the singular. ] (]) 17:32, 23 February 2010 (UTC)
			On Google I get 865,000 hits for Bollinger Bands and 210,000 for Bollinger Band. Clearly Bollinger Bands is the preferred usage by better than four to one. In addition, for Bollinger Bands every Google item on the first page has both Bs capitalized except for the Misplaced Pages entry. The first page of the Google search for Bollinger band also has every entry with double caps except one and all entries except one are plural. Finally the Bollinger band search page does not include the Misplaced Pages entry. Please return the Misplaced Pages listing to the standard usage, Bollinger Bands. ] (]) 15:34, 24 February 2010 (UTC)
			== too speedy ==
			Sorry, I was a careless when cleaning the 'prod' log : I relied on someone else's tag:
			and didn't read the text carefully. I agree that it should have gone through regular AfD as OR. Do you want me to restore it? - Altenmann ] 19:05, 2 March 2010 (UTC)
			== My question on Trig identities ==
			Sorry, badly phrased, what I meant for that information to be for was to help do the first few steps of the question
			What I actually need is:
			How do you fully simplify (cos<sup>2</sup>x/sinx)+ sin x?
			Wolfram has the answer at csc x, but no proof so I've no idea why.
			] (]) 06:11, 7 March 2010 (UTC)
			Thankyou tremendously, I knew I'd missed something crucial... didn't know it was so simple as the basic trig identity :( ] (]) 06:26, 7 March 2010 (UTC)
			== visiting Hardy/Tukey ==
			I tweaked the two numbered citations. Forgive me if that is contrary to the purpose of such a user page.
			How do you type from the keyboard that script lowercase "l" (letter ell) which appears all alone on one line near the bottom of the article? Its function may be to avoid confusion with "1" (numeral one) in some fonts. Is there another for uppercase "O" (letter oh)? --] (]) 02:01, 8 March 2010 (UTC)
			: Hello. I've never typed that one; I've just copied and pasted. Except within ], in which case it is \ell (but you'll have figured that one out if you clicked on "edit" and looked at what was typed there). ] (]) 05:11, 8 March 2010 (UTC)
			==Coxeter-Dynkin diagram graphics==
			Hi, you appear to be a regular contributor to the ] article. Hoping that you feel able to contribute to the ] for these diagrams. We are trying to establish a consensus to end a reversion war, and there are literally hundreds of instances to sort out. ] (]) 19:12, 11 March 2010 (UTC)
			== Proof by contradiction ==
			Hello. I saw your paper ''Prime Simplicity'' you referenced at ], and I must thank you and Ms. Woodgold for writing it. The unnecessary use of proof by contradiction annoys me, so I'm glad to see this article. Even more than a proof by contradiction of Euclid's theorem, I especially hate the mongrel version that first assumes ''all'' primes are listed, then considers the new number, shows that it is not divisible by any of them, and instead of stopping (we have a contradiction already!), ''still'' argues that the new number must be either prime or divisible by some prime not in the list, making it all needlessly confusing. Anyway, thanks. :-) ] (]) 05:45, 12 March 2010 (UTC)
			: Thank you. This means that there are now three people (other than those I've mentioned it to) who've read our paper (as far as I know). ] (]) 17:28, 12 March 2010 (UTC)
			== Request ==
			Hello, I'm not registered user, so I couldn't rename articles. I saw - you were the last one who modified "Marsaglia polar method" http://en.wikipedia.org/Marsaglia_polar_method - Could you, please rename it to "Box-Mueller polar method" or something. It was titled so by George Marsaglia, but he was not the first one, who proposed this method it was proposed by J. Bell in 1968 (http://portal.acm.org/citation.cfm?doid=363397.363547 J. Bell: 'Algorithm 334: Normal random deviates', Communications of the ACM, vol. 11, No. 7. 1968) and then modified by R. Knop in 1969 (http://portal.acm.org/citation.cfm?doid=362946.362996 R. Knopp: 'Remark on algorithm 334 : normal random deviates', Communications of the ACM, vol. 12, No. 5. 1966). The described in wikipedia form is the form of Knop.
			Thanks in advance,
			Vladimir <span style="font-size: smaller;" class="autosigned">—Preceding ] comment added by ] (]) 17:37, 17 March 2010 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->
			==Talkback on ]'s page==
			{{Talkback|Starblind#Common sense}}
			Just in case you haven't seen it. I wondered if you might even respond to the comments there? ]<sup>] / ]</sup> 15:06, 19 March 2010 (UTC)
			== April 1st DYK ==
			Hi, I've noticed that you are involved in editing the DYK template, and sorry for troubling you, but I've come across a humorous fact (and inserted it under "personal life") about one of the ]:
			<blockquote>
			In April 2007, while on holiday on the Greek island of Kefalonia, Paul broke his nose and received cuts and bruises when he lost control of his motorbike after suddenly braking to avoid a sheperd and his flock of goats. British tourists who stopped at the accident, instead of helping him out, shouted out the Chuckle Brothers' catchphrase: "To me, to you." <ref>{{cite web|url=http://news.bbc.co.uk/cbbcnews/hi/newsid_6600000/newsid_6601300/6601395.stm|title=Chuckle brother hurt in crash|date=Friday April 27 2007 |publisher=BBC, CBBC Newsround|accessdate=31 March 2010}}</ref>
			</blockquote>
			Problem is I only have computer access at college, and for some reason the spam/porn filter is preventing me from accessing the suggestions page. Could you suggest it on my behalf? I'd be eternally grateful, ] (]) 16:45, 31 March 2010 (UTC)
			== WPM thread ==
			The civilization is , and all you can think is an ? ] (]) 16:57, 31 March 2010 (UTC)
			: Occasionally I find that preventing the collapse of civilization requires attention to some detail or other besides endashes. (E.g. the pronunciation of "]".) ] (]) 18:29, 31 March 2010 (UTC)
			== "an Euler" ==
			Re: , , and . The comments for these edits seem a bit harsh to me. Determining whether to use ] is not always clear, and it can vary by pronunciation. Since "Euler" has only one correct pronunciation in English, you are definitely correct. But in the spirit of ] and ], I do wish you would be less harsh when correcting such trivial errors. (I suppose I'm also violating '']'' by even commenting on this!) In any case, thanks for all the work you do on Mathematics articles. Best wishes, <b><font color="green">Jwesley</font>]</b> 20:51, 31 March 2010 (UTC)
			: The problem with wrapping my brain around the idea that some people who are editing math articles, and some college-bound high-school graduates, might not have heard of Euler, is going to be something of a challenge. The math curriculum consists of lying to students, telling them that math consists of useless clerical skills. But that's not the curriculum I was brought up with. ] (]) 04:12, 1 April 2010 (UTC)
			:: It's amazing the huge holes that exist in the basic knowledge of many "college educated" people. I remember when I was a CS undergrad, I had an instructor (might've only been the GA) who wasn't sure how to pronounce "Euler"! He began the class pronouncing it correctly, but when somebody challenged him on the pronunciation, claiming that it might be "yoo-ler", the instructor said he wasn't sure! Sadly, I find CS grads often have an inadequate knowledge of Mathematics (especially considering the amount of knowledge necessary to really understand core CS material). Even more sad is the fact that many schools have CS faculty members that think better/more Mathematics training is *not* needed! <b><font color="green">Jwesley</font>]</b> 04:35, 1 April 2010 (UTC)
			== EDI ==
			You recently renamed the main and talk pages for "Electronic Data Interchange" to "Electronic data interchange". I have worked exclusively with EDI for well over twenty years and have *never* seen it referred to other than using the fully capitalized form. I am not confident enough about using Misplaced Pages to revert your changes, but I would be grateful if you would do so. ] (]) 11:21, 4 April 2010 (UTC)
			: I've moved it back, but I have these comments:
			:* Why all those plainly incorrect capitals in section headings that I fixed? Those insisting on capital initials in the title would be more credible if they didn't do that.
			:* In at least two places in the article it was written with all lower-case initials before I ever touched the article. Hence if you have '''never''' seen it that way, then you didn't read the article before my edits.
			:* Before editing the article I googled the phrase and found both forms.
	:		:
			] (]) 17:13, 4 April 2010 (UTC)
	Last I heard before today, the standard was seven days, not five. As for consensus, in the first place, the pool was minuscule, and in the second place, actually having heard of the subject matter before ought to count for something. Furthermore, it ought to be required to notify the relevant subject matter communities. That was not done. ] 06:20, 6 August 2007 (UTC)
			Firstly, thank you for reverting to the capitalized form! As to my rash use of 'never'; you are quite right to hold me to task over that and I stand chastised :-) I am biased by virtue of being an EDI professional, and thus the documents I look at tend to be official reference documents rather than general popular commentary. The lower case in the EDI article itself is, I believe, incorrect usage, but the article itself whilst having many good parts is not a good reference. I think it indicates that Misplaced Pages needs to be treated as informative but not authoritative. If I ever get time I will perform a total re-write; there are far too many minor problems with it for anything less to be satisfactory. I notice that you do a lot of good work on Misplaced Pages, and I hope this particular minor issue has not discouraged you at all. ] (]) 19:06, 4 April 2010 (UTC)
	:''Last I heard before today, the standard was seven days, not five'' - From the first two sentences of ]:
			== The Word Alive ==
	::'''''Articles for deletion (AfD)''' is where ] discuss whether an article should be deleted. Articles listed here are debated for up to '''<u>five days</u>''' '''', after which the ] proceeds based on Misplaced Pages community ]. ''
			Forgive me, I feel really compelled to use caps lock. THE ARTICLE HAS BEEN DELETED THREE TIMES, AND PROTECTED FROM RECREATION, AND TWO TIMES SOME ADMIN HAS COME ALONG AND MOVED A CLEVERLY NAMED ARTICLE UNDER THE ORIGINAL TITLE (]). I'm not blaming you or anything, I can't expect you to check the logs every time, but at this point I'm really sick of requesting deletions for this article. ×××]<sup>(])</sup>××× 21:07, 12 April 2010 (UTC)
	:It even says "up to", not "a minimum of". At this point, your batting average on application of policy, guidelines, and even ordinary facts is hovering around .000. Perhaps when you're in a hole, it's best to stop digging. --] | ] 06:48, 6 August 2007 (UTC)
			== Move request ==
	As I said, last I heard it said seven days, not five. That's a fact. I don't keep up with amendments to these sorts of things.
			Could you delete ] so I can move ] there? My speedy deletion request was declined for frivolous reasons by someone knows nothing about the topic, and I cant be bothered to argue with him about it. ] (]) 16:20, 13 April 2010 (UTC)
			:Thanks for the fast response! You might want to hold off changing redirects until I've finished rearranging the hypergeometric articles, as a few of them should go to ] instead. (This area used to be a total mess: the hypergeometric function article was mainly about the generalized hypergeometric function, and meanwhile the information about the hypergeometric function itself was scattered among about 6 other articles.) ] (]) 16:49, 13 April 2010 (UTC)
			== a little harsh? ==
			Michael, your on NBD seem a little harsh, especially since the editor is an IP. If it annoys you so much to respond to questions like this, it might be best to let someone else do it. ] (]) 21:51, 13 April 2010 (UTC)
			== Holographic Holographic Metamorphic Math Math ==
			I've reverted ] contributions twice now. One other editor has also reverted his change. He's adding content relating to "Holographic Holographic Metamorphic Math Math". I think it's approaching the threshold for vandalism, but I'd like a second opinion. <b>]</b> <i><sup>]</sup>/<sub>]</sub></i> 02:32, 15 April 2010 (UTC)
			: It's nonsense incorporating some mathematical terminology. I was a bit surprised by the contrast between a couple of details the seemed moderately clever and the stupid mangling of the grammar at one point. Definitely there's nothing of encyclopedic value in it and it's clearly not a good-faith attempt to add such content. ] (]) 03:09, 15 April 2010 (UTC)
			== WikiProject: Math/Typography ==
			Hi Michael,
			As I recall, you are keenly interested in mathematical typography (on Misplaced Pages), and we’ve ] (2009 Oct 31/Nov 1), where I suggested making a WikiProject on the subject. I have now done so, at ], which I’ve ]. You are both welcome and cordially invited to weigh in and share of your expertise, and I’ve kicked off discussion with the topic we were discussing (and that is near to your heart, as I understand), namely that ]. Enjoy, and look forward to working with you (et. al.) on this!
			:—Nils von Barth (]) (]) 09:24, 15 April 2010 (UTC)
			== pdf ==
			pdf can ]. So it's '''not wrong'''; it's not even less ambiguous since CDF's are just called ]. It's just '''one convention'''.--] (]) 21:20, 15 April 2010 (UTC)
			: It's not a convention that probabilists and statisticians use. This is a good example of why Misplaced Pages should not be considered authoritative. Besides, the function you referred to in the article was a probability '''density''' function, the bell-shaped curve. ] (]) 22:40, 15 April 2010 (UTC)
			== ] nomination of ] ==
			<div class="floatleft" style="margin-bottom:0">]</div>An article that you have been involved in editing, ], has been listed for ]. If you are interested in the deletion discussion, please participate by adding your comments at ]. Thank you.{{-}}Please contact me if you're unsure why you received this message.<!-- Template:Adw --> ] (]) 12:09, 16 April 2010 (UTC)
			== Your edits to ] and ] ==
			Why did you redlink ]? ] (]) 12:49, 18 April 2010 (UTC)
			: That was a punctuation correction. If I'd noticed it created a red link, I'd have correct the article's title at that time. Now I've done so. ] (]) 15:32, 18 April 2010 (UTC)
			:: Oh, OK. Thank you. ] (]) 02:18, 20 April 2010 (UTC)
			== Legibility of maths pages ==
			"Which pages did you have trouble reading?" you asked.
			I tidied up one in particular - ] about a year ago (June 15th 2009), replaced the html with LaTeX because it really was impossible to decipher what it meant. But that section was removed in Sept 2009, so it's irrelevant now. --] 18:52, 20 April 2010 (UTC)
			==k-median==
			yes - my definition was not right - but it's fixed now, i notice. ] (]) 05:46, 23 April 2010 (UTC)
			{{talkback|Sławomir Biały}}
			== ] nomination of ] ==
			<div class="floatleft" style="margin-bottom:0">]</div>An article that you have been involved in editing, ], has been listed for ]. If you are interested in the deletion discussion, please participate by adding your comments at ]. Thank you.{{-}}Please contact me if you're unsure why you received this message.<!-- Template:Adw --> ] (]) 17:18, 26 April 2010 (UTC)
			== ] nomination of ] ==
			]An editor has nominated one or more articles which you have created or worked on, for ]. The nominated article is ]. We appreciate your contributions, but the nominator doesn't believe that the article satisfies Misplaced Pages's criteria for inclusion and has explained why in his/her nomination (see also ] and "]").
			Your opinions on whether the article meets inclusion criteria and what should be done with the article are welcome; please participate in the discussion(s) by adding your comments to ]. Please be sure to ] with four tildes (<nowiki>~~~~</nowiki>).
			You may also edit the article during the discussion to improve it but should not remove the ] template from the top of the article; such removal will not end the deletion debate.
			'''Please note:''' This is an automatic notification by a ]. I have nothing to do with this article or the deletion nomination, and can't do anything about it. --] (]) 01:14, 1 May 2010 (UTC)
			== Multivariate normal distribution‎ ==
			I'm not sure the addition of the multiple issues template to ] was genuine. The originally added version had been copied and pasted from ], a now deleted article that I had nominated at ]. ] seemed to take exception to the nomination. At the AfD he made a number of bad faith allegations, and then started harrassing me on my talk page, for which he was blocked. He has also added a {{tl|Citation needed}} template to ], but I'm suspicious that was as disingenuous as the addition of the multiple issues template. However, not knowing enough about the subject I'm unable to determine whether it actually needs a citation. --] (]) 23:32, 2 May 2010 (UTC)
			== Boxed text in latex ==
			Hi Michael. How did you get those neat boxes of text under the equal signs in ? (] (]) 00:37, 3 May 2010 (UTC))
			First the following code comes before \begin{document}:
			:
			: \newcommand{\toplabel}{\mathrel{\mathop{\mathstrut{#1}}\limits
			: ^{\/% \/ is Vital!
			: \makebox{\parbox{80pt}{\centering
			: #2\par $\downarrow$\par }}}}}
			: \newcommand{\botlabel}{\mathrel{\mathop{\mathstrut{#1}}\limits
			: _{\/% Vital!
			: \makebox{\parbox{80pt}{\centering
			: $\uparrow$\par #2\par }}}}}
			: %
			: % Usage:
			: %
			: % \toplabel{\leq}{By d'Umbrella's Theorem}
			: %
			: % \botlabel{\leq}{By d'Umbrella's Theorem}
			: %
			:
			Then one does things like this:
			:
			: $$
			: \lim_{h\to 0} \frac{f(x + h) - f(x)}{h}
			: =\lim_{h\to 0} \frac{2^{x+h} - 2^x}{h}
			: \botlabel{=}{\ovalbox{just algebra}}
			: \lim_{h\to 0} \frac{2^x 2^h - 2^x}{h}
			: \botlabel{=}{\ovalbox{just algebra}}
			: \lim_{h\to 0} \left( 2^x \cdot \frac{2^h - 1}{h} \right)
			: \botlabel{=}{\ovalbox{$\begin{array}{l}
			: \text{because }2^x\text{ remains} \\
			: \text{constant as }h\to 0
			: \end{array}$}}
			: 2^x \lim_{h\to 0} \frac{2^h - 1}{h}
			: $$
	:		:
			The code was written by Donald Arsenau in response to a question I posed in a usenet forum. ] (]) 01:12, 3 May 2010 (UTC)
	The system is badly broken. A good faith editor urging deletion would not have notified the relevant subject-matter communities. In this case it was voted on only by outsiders to the relevant fields. ] 06:52, 6 August 2007 (UTC)
	== List of cicle topics ==
			:Thank you, that is very helpful (] (]) 02:28, 3 May 2010 (UTC))
	Hi Michael. A just did a major revert at ], which appears to have overtaken an edit you were making at the same time. You have a long history with this article. Feel free to fix as you deem best. Sorry about that! I have also cleaned up the talk page. ''&mdash;]&nbsp;<small>(]&nbsp;'''·''' ])</small>'' 05:59, 6 August 2007 (UTC)
	== Warning on Wheel warring ==
			== MVN ==
	Let me preface this by stating when I deleted the page, I had done so from viewing the AFD, I had not seen the AN/I thread, nor previous deletion history.
			The page looks excellent. It is quite impressive. And yes - while much is standard textbook material ... some is not ... and perhaps that is the point ... formulae are being given without reference or citation or derivation/proof, and in the absence of same, it is not clear if such formulae are 'original' or if they are sourced.
			And if they are sourced, where/what is the source? It would be helpful if the source could be provided. All the best. ] (]) 06:26, 3 May 2010 (UTC)
			== Format fixes ==
	Your actions are clearly and undeniably a wheel war. You have restored a page that has overwhelming consensus to delete at AFD '''THREE TIMES''' simply because you believe the outcome should have been different. This is entirely unacceptable behavior for a sysop. Heaping abuse on "deletionists" is not an acceptable response when you dislike the outcome of an AFD. Perhaps you should question your own sense of righteousness here: the community obviously begs to differ. ] ] ] 06:19, 6 August 2007 (UTC)
			Thank for fixing the format issues in ]. Since you seem to be checking all the new articles, you should know that I recently did a lot of editing on ], so it's essentially a new article now.--] (]) 14:23, 4 May 2010 (UTC)
	: You're the second person to make this "three times" assertion. Did you just copy it from the first? Why can't you be specific? ] 06:22, 6 August 2007 (UTC)
			== Discussion: Merging the articles for "Hyperplane" and "Flat" ==
	::Because it is clear from the logs. You restored three times. Once at 22:46 August 5, Once at 01:21 august 6, and once at 01:35 August 6. ] ] ] 06:24, 6 August 2007 (UTC)
			* ]
			* ]
			I'd like to discuss the possibility of merging these two articles. Your opinion on this matter is welcomed: ] <span style="white-space:nowrap;"><b>]</b> <i><sup>]</sup>/<sub>]</sub></i></span> 20:41, 5 May 2010 (UTC)
			== Pythagoras' theorem ==
	By the way, this one today was not one with an overwhelming consensus to delete. This was one where the relevant subject-matter communities were never even notified.
			Hi Michael:
			It's time for an expert opinion . I'm concerned that Staring's proof may be circular, as indicated in the caveat (note number 11).
			An may be free of this difficulty. What do you think? ] (]) 17:56, 8 May 2010 (UTC)
			BTW, see on the article Talk page. ] (]) 18:15, 8 May 2010 (UTC)
			My concerns over circularity are gone, but your comments on this section still would be welcome. ] (]) 21:59, 8 May 2010 (UTC)
			== Allan variance ==
			You should be aware that you and ] is making opposing editorial changes on - and &ndash;. See the talk pages of us for other commments. I don't have a problem with - or &ndash; but I don't want continous edits between them. Can you two agree in a discussion on ] I would be very happy if you two could discuss it on the talk-page, agree on a common resolution and then we stick to it. Many thanks for your editorial contributions. ] (]) 17:59, 8 May 2010 (UTC)
			Could you do an re-evaluation of the article from the context of the statistics project? I think the article has progressed significantly since the last review and I would value the input from such a rating to see what I could improve. ] (]) 01:17, 9 May 2010 (UTC)
			== impolite? ==
			I was under impression that the construction like <tt><nowiki>]</nowiki></tt> or <tt><nowiki>]</nowiki></tt> are perfectly acceptable, and in fact preferable to use for very common abbreviations. If a person known what those letters stand for it saves him/her the time needed to read the entire phrase. If a person doesn't know the abbreviation, he/she can just mouseover it and the full name will be shown in the tooltip. <font color="#aaa"> // <b>]</b> » </font> 04:16, 10 May 2010 (UTC)
			==Merging article Bracelet to Necklace (combinatorics)==
			I'm recommending that the article on ] be merged into ].
			I saw that you had previously edited one (or both) of these article. You're invited to participate in the discussion here: ].
			Thanks, <span style="white-space:nowrap;"><b>]</b> <i><sup>]</sup>/<sub>]</sub></i></span> 15:13, 14 May 2010 (UTC)
			== Thanks ==
			Thanks for adjusting the typography etc. of my contributions, I'm getting a little better at Misplaced Pages each time.
			] (]) 06:52, 15 May 2010 (UTC)
			== Advice for cladogram ==
			Hello Michael, I would like to ask you for an advice with a ] (]). I wanted to add a cladogram for genera in Semisulcospiridae, but there are two available cladograms in the source reference. ] image and ] image and these two images differ. I think that corresponding articles are ] and ] (and the third method is ]). I am not very familiar with these statistical methods so I can not decide, which image will be the best, or better for the encyclopedia. Is there an universal answer for this? Now I suppose that it is important what method was used for creating of the image, but I found no this information in documentation neither of ] nor of ]. It seems that this information is not used even in biological articles containing cladograms. --] (]) 21:30, 16 May 2010 (UTC)
			== Amazon ==
			See here: https://www.amazon.com/gp/help/contact-us/general-questions.html ] 03:58, 18 May 2010 (UTC)
			: Sorry---you're wrong and you didn't read my question very well. You '''CANNOT''' use that page without a valid order number.
	:		:
	Most people who opine on AfD are good people. Most people who edit Misplaced Pages are good people. Most people who hang around AfD all the time are bad people. Something in the system encourages that. AfD protocols need to get scrapped completely and replaced. ] 06:26, 6 August 2007 (UTC)		: Please: Use your head!! It is '''BECAUSE OF''' my attempt to use EXACTLY the page you're pointing to that I concluded you can't contact amazon. I was completely explicit about this. ] (]) 05:58, 18 May 2010 (UTC)
			::Wow - I did use my head. I used it to try to help you on WP for a question completely unrelated to WP. And, despite your use of caps and exclamation points I tried it again, and it worked again. See ] - perhaps you need to select the "other" category? In any case, good luck. ] 06:19, 18 May 2010 (UTC)
			:::It appears you have resolved your issue. I am going to mark ] for deletion. Regards. ] 01:35, 20 May 2010 (UTC)
			== ] ==
	: That isn't THREE occasions; it's one. I restored an improperly deleted article. AFTER someone OTHER THAN ME reopened the discussion, I restored it again because obviously the article needs to be there in order to get discussed. What are the other two articles you're referring to? Be specific. ] 06:28, 6 August 2007 (UTC)
			As you may see on the ], I don't think the concept is ] and couldn't find ] to ] usage of this after 2003. Since I'm an anonymous IP, I can't put the article up for AfD but I do believe that it's the ideal course of action at this point since no one can or cares to rewrite the article to make understandable. Would you care to nominate it for deletion or do you believe the article can still be rescued somehow?--] (]) 14:03, 29 May 2010 (UTC)
	::I never once said 3 articles. I said the same article 3 times. It was not improperly deleted in the first place, but irregardless the venue for that is DRV, not unilateral undeletion. Then after it was deleted again, you restored, causing a wheel war. Then, after I deleted it (not having seen this) you restored again, wheel warring again, putting yourself in 3RR danger, and clearly being disruptive. The community obviously does not share your opinion of this article. You need to respect it. ] ] ] 06:33, 6 August 2007 (UTC)
			== Pareto principle ==
	I was not the one who reopened the discussion; someone else was. ] 06:34, 6 August 2007 (UTC)
	::Doesn't matter. It should have gone to DRV, not been restored, not been reopened. ] ] ] 06:40, 6 August 2007 (UTC)
			Thank you for correcting my post. Your change clarifies the meaning.
	== Wheel warring ==
			I made slight change of "is assigned the same value" to "have equal shares." This more closely ties parenthetical example to antecedent "something is shared" and changes passive voice to active voice.
	You have been wheel warring over the deletion of ]. Kindly cut that out. We have discussion forums for that kind of thing. Specifically, if you dissent with a deletion, you can bring it up for review ]. ] 11:03, 6 August 2007 (UTC)
	: This is a set-up. Your initial statement is dishonest. The restoration of a deleted page and reopening of a closed discussion was proposed by persons other than me and agreed to by persons other than me at ]; the discussion was reopened on the AfD page by persons other than me; I handled that other aspect of it. Then those same people who agreed to it and participated in it accuse me of "wheel warring". That is grossly dishonest. ] 16:24, 6 August 2007 (UTC)
	::No, that you have been wheel warring is literal fact, as plain from the page deletion logs (and I note that in one case you didn't even bother to enter an undeletion summary). Reversing other admin actions without discussion is bad form. Doing it three times in a row is worse form. And in your attacks here you seem to be confusing me with those people who agreed and participated in "it". ] 16:28, 6 August 2007 (UTC)
	'''IT WAS NOT WITHOUT DISCUSSION. I JUST TOLD YOU THAT. AND WHY ARE THE OTHERS WHO PROPOSED AND INITIATED THIS ACTION AND PARTICIPATED IN IT NOT LIKEWISE BEING TAKEN TO TASK BY YOU, WHEN THEY ARE JOINING MY ACCUSERS. THIS IS A SET-UP.''' ] 16:31, 6 August 2007 (UTC)
	*]. And no, this is not a conspiracy. ] 16:38, 6 August 2007 (UTC)
	Even if that is the case, we have a place for that: it's called DRV. There is a section for temporary undeletions for discussion. You being an administrator for a significant length of time should have been aware of this. Not to mention the lack of good faith in accusing this as a "setup". Are the wikipedia policies now part of a conspiracy against you?] ] ] 17:06, 6 August 2007 (UTC)
	::Not to mention when you restored MY deleted version, your argument falls flat: When I deleted it, it was because the AFD had ALREADY BEEN CLOSED by Seraphimblade as '''delete'''. The AFD was closed, there was no further discussion. You restored it but a minute or two later, without ANY discussion. THAT is the definition of a disruptive wheel war. ] ] ] 17:08, 6 August 2007 (UTC)
			Thanks again and regards.
	Michael, could you cite with diffs to provide evidence to back up what you are claiming? Everything I read completely contradicts what you suggest. First of all, you undeleted the article with the comment:
			] (]) 23:05, 29 May 2010 (UTC)
	# 02:46, August 6, 2007 Michael Hardy (Talk | contribs) restored "Infinite monkey theorem in popular culture" (68 revision(s) restored: This was improperly deleted without discussion. The edit summary by user:Sr13 that said "after discussion" was dishonest.)
			== Controversial edits ==
	and then left a comment at
			Hello! I see, one day you were editing the ] article, could you please figure out if are correct or not. I find it quite hard to believe that the incorrect date was present in the article since its creation in 2007, but have failed to find any reliable online sources on it. Thanks in advance, --] (]) 17:55, 30 May 2010 (UTC)
	It was then reopened by {{User|Calton}} at 04:47, August 6, 2007 (), with the comment, "''reopening AFD to deal with unilateral undeletion''".
			: I did some edits to bring the article into compliance with ], but I don't actually know this topic. ] (]) 18:13, 30 May 2010 (UTC)
			::Well, sorry, but maybe you know how to handle edits like these (when both sources are unverifiable for unaware editors) or whom to address in order to check the info for certain? --] (]) 18:24, 30 May 2010 (UTC)
			==Thanks==
	Only two people suggested (and one assented) at ] that the debate remain open .
			Thanks for the helpful hints on math punctuation and italicization! ] (]) 14:50, 4 June 2010 (UTC)
	The thing, '''you did, despite any attempt to say otherwise, undelete the article without discussion'''. Only after you posted to WP:AN/I did anyone suggest that the discussion be reopened (after which Calton reopened it). You wheel warred. You undid another administrators' action without consensus. You did not, however, reopen the AfD discussion. Do you deny this?
			{{tb|Cnilep}}
	So, in other words, is absolutely false. Correct? Contrary to the comment,
			== Feedback help? ==
	: "''I did not restore the article until AFTER other persons proposed and agreed to reopening the discussion and one of them actually did reopen it''"
			Michael, despite having a degree in Mathematics, my skills are quite rusty. An editor created a draft article and asked for feedback ]. Any chance you could take a look at it, or pass it along to someone who could help - I see some promise, but, at a minimum, some copy edit needs. Whether the content is worth while is beyond me.--<span style="font-family:Monotype Corsiva; font-size:15px;">]]</span> 16:33, 5 June 2010 (UTC)
	a correct comment would be:
			: Thank you for your correction on the article I wrote, http://en.wikipedia.org/Configuration_graph and http://en.wikipedia.org/SO_(complexity) ; for information I did SO because there already were FO, ttp://en.wikipedia.org/FO_(complexity) and since FO used to be a stub, I had plenty of stuff on it. I guess if you did read SO you may want to have a look at FO too. Especially, I would be curious to have answer to the question I leaved on http://en.wikipedia.org/Talk:FO_(complexity) . Anyway: thanks again] (]) 10:46, 8 June 2010 (UTC)
	: "''I restored the article BEFORE other (three) persons agree to reopneing the discussion and one of them actually did reopen it''"
			== Dynamic Technical Analysis for Financial Markets ==
	Is this correct? If not, where was the discussion, and where are the diffs that verify the timeframe that you propose? --] 18:12, 6 August 2007 (UTC)
			The French version of ] was deleted yesterday. I'm not too sure how to proceed in here (AfD of prod?). Could you help or act? Many thanks, --] (]) 10:33, 6 June 2010 (UTC)
	Here is what happened: After only three days of discussion, during which no people knowledgeable or interested in the topic had commented, since the relevant communities had never been notified per standard practice, someone decided that there should be what is called a '''"speedy deletion"''' while there was disagreement about whether to keep the article. I seem to recall that in fact only six people had commented, not one of whom was part of the informed community. "Speedying" such a thing is not proper---it is forbidden---and I restored the article. Then I complained at Misplaced Pages:Administrators' noticeboad/incidents]]. Someone proposed reopening and someone else agreed, and I think at least three people were in agreement, not including me, and one of them then DID reopen the discussion. Then someone else deleted the article again, inconsistently with that new consensus, so I restored it and am now accused of "wheel warring" while those others involved are not.
			==Revision to ] and ] articles==
			I noticed that you have revised either ] or ].
			I intend to revise those articles following the ]. There are more details on the discussion pages of those articles. I'd be interested in any comments you have. It would be best if your comments were on the discussion pages of the two articles.
			Thank you.
			] (]) 11:06, 8 June 2010 (UTC)
			== ] ==
			Hi Michael, Thanks for your edit there. I moved the page to my talkpage so as to avoid losing the material. There is a number of independent remarks concerning the six cross-ratios that should have their own sections. For example, the remark concerning the fixed points of the order-2 Mobius transformations that turn out to have fixed points precisely the orbit of the harmonic ratio. In a separate page, this poses no problem, but too many subsections at the ] page itself would clutter up the table of contents. What would be the best way of handling this? ] (]) 08:16, 11 June 2010 (UTC)
			== Naming of ] article ==
			Hi Michael, I notice you renamed this article from '''single nucleotide polymorphism''' back in December of 2008. I write to get a sense for why you added the hyphen. It seems to me that it is not necessary in this case; single modifies nucleotide which modifies polymorphism, rather than single-nucleotide being a compound modifier of polymorphism. It makes sense either way but in these cases it seems the custom is to omit the hyphen unless it is necessary to clarify the meaning. -] (]) 01:49, 19 June 2010 (UTC)
			: I believe the traditional way of using hyphens is worth saving. More later..... ] (]) 19:17, 21 June 2010 (UTC)
			==Galton–Watson process==
			I agree with you that the jargon tag is inappropriate. My guess is that the notation on the definition is what led to this tag though. The notation is not fully explained. As it is written it looks like it is the sum of sequences rather than elements of sequences. The superscript and subscript in the definition need to be explained better, so that anyone who has some basic probability training can understand the definition. Is it that each \xi^(n) is a new sequence of n iid variables and the j, in \xi^(n)_j, refers to the element of the sequence. I have no training in stochastic processes, so I could be wrong on my interpretation. Thanks --] (]) 21:31, 24 June 2010 (UTC)
			== ] ==
			Just for the record: do you oppose replacing <code><nowiki><references /></nowiki></code> with <code>{{tl|Reflist}}</code> in this article? —] (]) 17:12, 5 July 2010 (UTC)
			:Context: Bender235 has been going around large numbers of articles making this change via AWB. I noticed these edits when they overlapped with our math articles. &mdash;&nbsp;Carl <small>(]&nbsp;·&nbsp;])</small> 17:25, 5 July 2010 (UTC)
			I'm neutral on that issue. I am not familiar with the specific pros and cons. ] (]) 19:21, 5 July 2010 (UTC)
			:Pro: the template allows multi-column reference lists, which is useful for 20+ notes
			:Con: reduces the font size to 90% (only a con for certain users, including CBM)
			:That's it. --] (]) 19:49, 5 July 2010 (UTC)
			== ] ==
			Hi
			If you have a moment, could you take another look at this article and critique the Maths. Probably much of it needs pruning and the article could say most of what it needs to say a lot more economically. But I'm not sure what should stay and what should go.
			Thanks.
			] (]) 15:00, 7 July 2010 (UTC)
			''"some minor edits for now; at some point I'll print this out and mark up the page with my comments and then come back here and do some substantial editing"''.
			Much appreciated.
			] (]) 09:57, 26 July 2010 (UTC)
			== Abstract polytopes ==
			You have previously contributed to the ] article. If you feel able, please contribute to the discussion on ''']''', where I am hoping to resolve a long-standing dispute. Many thanks in anticipation. &mdash; Cheers, ] (]) 14:46, 17 July 2010 (UTC)
			== Attribution of names ==
			Hi Michael, Does our Manual of Style have any specific guidance on how to attribute a named result to a particular mathematician? In the article ], for instance, should we just be piping a link to the first occurrence of the word "Taylor", or should we include a sentence like "It is named after the ] mathematician ]." I'm referring specifically to , where someone seemed to think that it was better to include as little information as possible about the originators of the theorem. I'm inclined to disagree with this edit, but I have not reverted it since ] has already locked horns with me over several other questionable edits of his, and I have no wish to be called out yet again. Still, our manual of style seems to be annoyingly silent about this issue. (It does suggest, rather vaguely, to "include some names and dates" in the lead, but this isn't particularly focused advice.) Perhaps it is high time to do something about this. ] (]) 10:38, 26 July 2010 (UTC)
			: I definitely prefer the longer form, and I suspect I could make an argument for it if I worked on it. I usually, but not always, use less the a full sentence. E.g. I write
			:: In mathematics, '''Xmith's theorem''', named after ], states that....
			: etc. ] (]) 17:50, 26 July 2010 (UTC)
			== AfD nomination of ] ==
			Hi, you tried to help with this article in the past, so you might want to comment at AFD. - ] ] 20:37, 28 July 2010 (UTC)
			== rank-2 ==
			Putting hyphens before numbers, such as changing rank 2 to rank-2, is not a good idea as it is too easily confused with rank &minus;2 ] (]) 13:04, 1 August 2010 (UTC)
			== ] nomination of ] ==
			<div class="floatleft" style="margin-bottom:0">]</div>An article that you have been involved in editing, ], has been listed for ]. If you are interested in the deletion discussion, please participate by adding your comments at ]. Thank you.{{-}}Please contact me if you're unsure why you received this message.<!-- Template:Adw --> ] (]) 11:47, 3 August 2010 (UTC)
			== Thanks!!!! ==
			Thank you Michael! The question I asked at ] had been driving me insane for ages! - ] (]) 23:02, 6 August 2010 (UTC)
			== Listing numbers ==
			Sorry, I don't know how I missed your edits and your question. Listing numbers (at least in connection with Peirce) can be found by searching on . ] mentions them in his ] linked in the footnote at the very end of the paragraph containing "Listing numbers" in the CSP wiki. It's been a while since I read about Listing numbers (and I'm not a mathematician), otherwise I'd try to briefly say what they are. I remember that they were involved in topology. ] (]) 17:28, 12 August 2010 (UTC) <br>
			Update: I found something, see http://www.google.com/search?q=%22who+have+heard+of+J.B.+Listing%22 , it's Hilary Putnam in "Comments on the Lectures" in ''Reasoning and the Logic of Things'' (a lecture series by Peirce, with intro & commentary by Kenneth Laine Ketner and Putnam): "Today there must be very few topologists (if any) who have heard of J.B. Listing, whom Peirce considered to be the discoverer of topology.<sup>70</sup> However, the Listing numbers are perfectly good topological invariants (Peirce's "first Listing number" would today be called the zero-dimensional Betti number). ...." ] (]) 17:52, 12 August 2010 (UTC).
			: Although I remember this issue, I didn't remember which article it was about. It now appears you're talking about an edit summary to ] that I wrote on July 25th. To be continued..... ] (]) 18:02, 12 August 2010 (UTC)
			::I've linked "Listing numbers" in the Peirce wiki to ], where I've added about Listing numbers along with a footnote with a reference. ] (]) 18:32, 12 August 2010 (UTC).
			::Um, why have you undone the Peirce wiki link of "Listing numbers" to ]? (And why no explanation in the edit line besides the word "link"?) The Johann Benedict Listing wiki is where people will find out something about them. Why link instead to a nonexistent page? It seems unlikely that anybody is about to start a wiki on Listing numbers, unless you plan to do so yourself. ] (]) 19:29, 12 August 2010 (UTC).
			The ] article now exists, although it's still just a stub. ] (]) 16:48, 13 August 2010 (UTC)
			:Thank you kindly! ] (]) 16:15, 14 August 2010 (UTC)
			== ]s and ]es ==
			I know your an experienced Wikipedian, so I'm feeling a little uncomfortable lecturing you, but please make sure not to confuse ]s (−) and ]es (–) in ]s (like ). No offense! —] (]) 17:05, 22 August 2010 (UTC)
			: Apparently I was confused that day. Thanks for straightening this out. ] (]) 16:36, 23 August 2010 (UTC)
			== Thanks for your sharp eye. ==
			I just saw an edit you did in which you changed hyphens in journal article page ranges to en dashes, which I have now done in my ] and which I will do during updates to other ]. Thanks for drawing my attention to that issue. -- ] (]) 16:17, 23 August 2010 (UTC)
			== The correct name is "Wirtinger derivatives" and not "Wirtinger derivative". ==
			Hello, Michael Hardy. First of all thank you for your edits to the latest entry I have created (formerly ], now ]), especially for the smart use of <tt><nowiki>&nbsp;</nowiki></tt> in order to improve the aesthetic appaerance of the inline mathematical formulas: however I had to revert your edits since you left the entry in a mess. But this is not the main reason I have decided to write you: the main reason is that your arbitrary move of the former entry ], to the new one ] is simply wrong. Effectively ] remarks that page names should be singular, '''except for nouns that are always in a plural form in English (e.g. scissors or trousers) and the names of classes of objects (e.g. Arabic numerals or Bantu languages)''': well, '''Wirtinger derivatives belong to both of this exception classes'''. At first, I thougt that they did not belong to the fist one (i.e. that the plural locution "Wirtinger derivatives" was not common english usage), since the correct attribution to ] is mainly (but not exclusively) used by ] scientists in their native language or in translations (see for example {{Harvtxt|Fichera|1986|p=62}} or {{Harvtxt|Martinelli|1984|p=12 and 86}} or {{Harvtxt|Henrici|1993|p=287, 294,298, 300}}), but a rapid search on Google show me this is not the case. "Wirtinger deivatives" scores 320, while "Wirtinger derivative" scores only 87 (or shuld I say 86+1?), but '''the most important thing is that most of the 320 scores refer to definitions of the concept''', indicating a really common English usage: I cite only only the two books {{Harv|Cherry|Ye|2001|p=31}} and {{Harv|Zwillinger|1997|p=269}}, as examples. Of course, I have no dubt that Wirtinger derivatives belongs also to the second exceptions class, since even when they are definded without the attribution to Wirtinger, '''they are always defined as classes of <math>2</math> or <math>2n</math> operators''', whose members, identified with the locution ''Wirtinger derivative with respect the variable (or ]) <math>z_j</math>'', are used to construct the basic operators of the theory (or the related ]s) like the arabic numerals are used to construct numbers: see {{Harvtxt|Hörmander|1990|p=1, 23}} as an authoritative example. If you find my considerations reasonable, please support my move request to the original name of this entry. Best regards, ] (]) 15:47, 24 August 2010 (UTC)
			*{{Citation
			| last = Cherry
			| first = W.
			| last2 = Ye
			| first2 = Z.
			| title = Nevanlinna's theory of value distribution: the second main theorem and its error terms
			| place = Berlin
			| publisher = ]
			| year = 2001
			| series = Springer Monographs in Mathematics
			| volume =
			| pages = XII+202
			| url = http://books.google.it/books?id=u59tM4mSUQsC&printsec=frontcover#v=onepage&q
			| doi =
			| zbl = 0981.30001
			| isbn = 978-3-540-66416-1}}.
			*{{Citation
			| last = Fichera
			| first = Gaetano
			| author-link = Gaetano Fichera
			| title = Unification of global and local existence theorems for holomorphic functions of several complex variables
			| journal = Memorie della ], Classe di Scienze Fisiche, Matematiche e Naturali
			| series = 8
			| volume = 18
			| issue = 3
			| pages = 61&ndash;83
			| year = 1986
			| url =
			| zbl = 0705.32006
			}}.
			*{{Citation
			| last = Henrici
			| first = Peter
			| title = Applied and Computational Complex Analysis Volume 3
			| place = New York - Chichester - Brisbane - Toronto - Singapore
			| publisher = ]
			| origyear = 1986
			| year = 1993
			| series = Wiley Classics Library
			| volume =
			| edition = Reprint
			| pages = X+637
			| url = http://books.google.it/books?id=vKZPsjaXuF4C&printsec=frontcover#v=onepage&q
			| doi =
			| zbl = 1107.30300
			| isbn = 0-471-58986-1}}.
			*{{Citation
			| last = Hörmander
			| first = Lars
			| author-link = Lars Hörmander
			| title = An Introduction to Complex Analysis in Several Variables
			| place = Amsterdam&ndash;London&ndash;New York&ndash;Tokyo
			| publisher = ]
			| origyear = 1966
			| year = 1990
			| series = North&ndash;Holland Mathematical Library
			| volume = 7
			| edition = 3<sup>rd</sup> (Revised)
			| url =
			| doi =
			| zbl = 0685.32001
			| isbn = 0-444-88446-7
			}}.
			*{{Citation
			| last = Martinelli
			| first = Enzo
			| author-link = Enzo Martinelli
			| title = Introduzione elementare alla teoria delle funzioni di variabili complesse con particolare riguardo alle rappresentazioni integrali (Elementary introduction to the theory of functions of complex variables with particular regard to integral representations)
			| place = Rome
			| publisher = ]
			| year = 1984
			| series = Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni
			| volume = 67
			| pages = 236+II
			| url = http://www.lincei.it/pubblicazioni/catalogo/volume.php?lg=e&rid=33233
			| doi =
			| isbn = }}.
			*{{Citation
			| last = Zwillinger
			| first = Daniel
			| title = Handbook of differential equations
			| place = San Diego
			| publisher = ]
			| origyear = 1989
			| year = 1997
			| edition = third
			| pages = xxiii+801
			| url = http://books.google.it/books?id=YD4PL0GZgOcC&printsec=frontcover#v=onepage&q
			| doi =
			| zbl = 0912.34001
			| isbn = 978-0-12-784396-4}}
			== Re: convergence in probability ==
			Ah, okay, thank you for clearing up for me; I thought X<sub>n</sub> was the n:th random variable rather than the average of the n first random variables. I guess that is what happens when you don't read the whole article. :) --] (]) 23:53, 4 September 2010 (UTC)
			Sorry, my bad again. The article doesn't mention anything about average values in this case; {X<sub>n</sub>} can simply be any sequence of variables that get more and more predictable (a bit simplified) for increasing n. --] (]) 00:05, 5 September 2010 (UTC)
			==Histogram==
			I would be happy if you could take a look at ] and the discussion page, where user Cyclopia makes IMO strange and incorrect edits. ] (]) 14:21, 6 September 2010 (UTC)
			== Transverse Mercator ==
			Many thanks for your careful copy edits (on my sections) but I hope you haven't wasted to much time on editing the new section added by Zukas. His tex material was( and is still) pretty awful. I'm not sure that he understands what he is doing and I am minded to remove this section; it is no more than a curious diversion from main stream theory. I shall be having a session on this page shortly. I intend to give more details of current developments.&nbsp;] (]) 22:34, 8 September 2010 (UTC)
			== Tidying expressions ==
			Thanks for your careful eye tidying details ] and ]. ] (]) 23:23, 11 September 2010 (UTC)
			<br />
			== Multifactor Design of Experiments Software ==
			Michael, thanks so much for cleaning up my article at the bottom and also pointing out that it was an orphan. I believe (I'm a newbie) I have corrected it, and therefore removed the "orphan" comment, but please do feel free to look and verify. Again, thanks! (Another Minnesotan BTW...)Agatecat2700 08:49, 13 September 2010 (UTC)
			== Request for statistics article review ==
			A new editor has written an article ] and requested feedback. The editor seems to have basic Misplaced Pages style under control; it needs the review of someone familiar with the field. (I'll also crosspost a couple specific editors.) x-post with Math Reference Desk--<span style="font-family:Monotype Corsiva; font-size:15px;">]]</span> 21:15, 17 September 2010 (UTC)
			==] nomination of ]==
			]<!-- use ] for YELLOW flag -->
			A tag has been placed on ], requesting that it be speedily deleted from Misplaced Pages. This has been done under the ], because it is a very short article providing no content to the reader. Please note that external links, "See also" section, book reference, category tag, template tag, interwiki link, rephrasing of the title, or an attempt to contact the subject of the article don't count as content. Moreover, please add more verifiable sources, not only 3rd party sources. Please see ] for our minimum information standards for short articles. Also please note that articles must be on ] subjects and should provide references to ] that ] their content. You may wish to consider using a Wizard to help you create articles - see the ].
			Please do not remove the speedy deletion tag yourself. If you plan to expand the article, you can request that ] wait a while for you to add contextual material. To do this, affix the template '''<code>{{tl|hangon}}</code>''' to the page and state your intention on the article's ]. Feel free to leave a note on my talk page if you have any questions about this.<!-- Template:Empty-warn --> —<span style="font-family:Tahoma">''']</span> • <span style="font-family:Trebuchet MS">]</span> •''' 08:33, 18 September 2010 (UTC)
			== Ref Desk and grammar ==
			Michael,
			I recently at ]. As you may be aware, the Ref Desks have been wrestling with the issue of whether and when it's appropriate to correct grammar for some months now. A general consensus has emerged that correction for correction's sake, particularly when there's no room for misinterpretation, is to be avoided. A gentle note of correction to the poster's talk page should be fine, but I hid your comment largely to prevent it being a flash point for yet another dramafest on this issue. &mdash; ] 13:29, 28 September 2010 (UTC)
			: I don't know why some people are so touchy about grammatical things like that, even though they can disagree about politics or religion or education without suffering any spiritual bruises. ] (]) 20:45, 28 September 2010 (UTC)
			== Pronunciation of Leibniz ==
			I reverted the German pronunciation of ] to {{IPA|}} for the reasons given in the ]. If you have a source that confirms that {{IPA|}} is also a legitimate German pronunciation, please add it back in alongside {{IPA|}}. --] (]) 17:52, 29 September 2010 (UTC)
			== ] ==
			Hi Michael,
			Would be interested in doing any work on this article? It seems to be in bad shape. There is a discussion on the talk page to put it back to 'start class,' and an article of this importance, should have made it to FA by now. I don't edit there, but I will start. I saw your article on
			] which I like very much, and wondered if you'd be interested in helping fix the situation over there. Even the photos are lacking. I don't think, as it reads right now, a reader would understand what the Catholic Church is from this article. If you've not the time, then perhaps you know of others who might be interested? Thanks.] (]) 19:31, 29 September 2010 (UTC)
			== I disagree ==
			Your comment about "exchangeable random variable" doesn't make much sense to me. Logically, if you can have a "sequence of X's", then you can have an "X" which is sensibly defined as "one of a sequence of X's". Certainly, whether or not you think singular "exchangeable random variable" is incorrect, you understand what is meant, and if you do a search on "exchangeable random variable" you will see plenty of examples in the singular with exactly the semantics I just described. In other words, whether or not you ] think such usage is "incorrect", ] speaking it obviously exists and is well defined, so there seems little point to me in insisting that the Misplaced Pages article be named according to the plural when the standard practice is to use the singular whenever it exists. ] (]) 05:33, 1 October 2010 (UTC)
			: Looking at the first several google hits, I'm failing to find what you say is there. Can you point to one or more specific pages on which you find that usage? Your comment that starts with "logically" is specious. Two say two or more random variables are exchangeable is to assert that a certain relationship among them exists. How can that apply to just one random variable in a way that's not vacuous? ] (]) 12:47, 1 October 2010 (UTC)
			::
			::www.proba.jussieu.fr/mathdoc/textes/PMA-890.pdf
			::
			::"Take π ∈ P an exchangeable random variable and define a family of. Pn-valued processes Πn(·) as follows"
			::
			::
			::www.math.ens.fr/~catoni/homepage/vapnik.pdf
			::
			::"For any θ ∈ Θ, any ω ∈ 􏰈X × Y􏰉(k+1)N , any positive partially exchangeable random variable λ, any partially exchangeable random variable η,"
			::
			::
			::www.unc.edu/~normanp/AEJsub1.pdf
			::
			::"Proposition 2 Suppose that θ6 is an exchangeable random variable and that there exists C 'n( such that C7 'n( 1 C 'n( for all j - 2"
			::
			::
			::projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle...1
			::
			::"Consider an n dimensional exchangeable random variable X = (-XΊ,.. . ,Xn). Shaked and Tong (1985) suggested that larger dependence of X is associated with ..."
			::
			::
			::www.springerlink.com/index/u2043254v6568430.pdf
			::
			::"Ramamurthy and Sengupta and Ott and Shanthikumar . In addition if. (Y1,..., Yc) is an exchangeable random variable one has (see Ott and ..."
			::
			::
			::papers.ssrn.com/sol3/Delivery.cfm/000530360.pdf?abstractid=230833
			::
			::"final endowment is described by an exchangeable random variable, which allows for aggregate risks. They show that efficient risk-sharing can be attained ..."
			::
			::
			::Granted, there aren't as many examples of such singular usages as plural usages. Also, I see that according to ], the use of the plural here may be warranted. ] (]) 06:33, 4 October 2010 (UTC)
			Apparently at least some of the quoted authors above mean a random vector whose scalar components are exchangeable. ] (]) 18:19, 8 October 2010 (UTC)
			==HELP==
			Very indebted for Michael Hardy's corrections in the article ]!--] (]) 18:03, 8 October 2010 (UTC)
			== Confidence interval ==
			Please take a look at the recent edits on ]. ] (]) 20:55, 10 October 2010 (UTC)
			Again: I'm not pleased at all with the present introduction on ]. ] (]) 16:09, 11 October 2010 (UTC)
			== BWV 48 ==
			You tried to improve ], but please note that the links to the free scores work only with the minus-sign, and I wonder if the name shown should be different from the link. But for the moment I just restored the link. --] (]) 06:49, 13 October 2010 (UTC)
			: You must have meant only with the ''hyphen''. (I disapprove of using hyphens as minus signs in non-] notation.) ] (]) 21:14, 13 October 2010 (UTC)
			== Question ==
			I do not understand some idea : . '''As such, Legendre polynomials can be generalized''' (In what way?) ''' to express the symmetries of semi-simple Lie groups''' (not SO(3)?) ''' and ]s.''' (not euclidean ?) Can you explain me it? Thank you very much. ] (]) 21:06, 13 October 2010 (UTC)
			: I think you should post this question to ]. I think I've done some edits on that article, but the particular assertion you quote probably goes beyond what I know about the subject. ] (]) 15:32, 15 October 2010 (UTC)
			== Meetup ==
			{{Minnesota meetup|date=31 October 2010|time=noon|place=],<br>], ], ]<br>{{Coord|44.9493|-93.2612|type:landmark}}}}
			== ] ==
			{| style="border: 1px solid gray; background-color: #fdffe7;"
			|rowspan="2" valign="middle" | ]
			|rowspan="2" |
			|style="font-size: x-large; padding: 0; vertical-align: middle; height: 1.1em;" | '''The Original Barnstar'''
			|-
			|style="vertical-align: middle; border-top: 1px solid gray;" | Thanks for helping improve that new article! <small><span style="border:1px solid;background:#00008B">]]</span></small> 10:07, 15 October 2010 (UTC)
			|}
			It's always great when we ask people for help and actually get some!
			I'd like to put that one in for a "Did you know..." nomination (]) within the next few days; my main concern, however, is that it is a bit tricky for a non-expert to understand; it could really do with a more 'general' introductory sentence or two, just to say ''what'' it is.
			So if you do get a chance to edit it further, please do; we've got a few days before the DYK deadline (has to be 'new' to qualify, within 5 days of creation, and it was created on 14th).
			Thanks again! <small><span style="border:1px solid;background:#00008B">]]</span></small> 10:07, 15 October 2010 (UTC)
			: Thank you. ] (]) 15:30, 15 October 2010 (UTC)
			== Inline TeX in Analyticity of holomorphic functions ==
			I know you did that because you thought the line wrapping looked bad, but from my perspective, the slash are hardly visible in the HTML version of the formula.--] (]) 03:48, 18 October 2010 (UTC)
			== ] ==
			ive replied on the talk page.
			Ive also ''not'' put the tags back on becasue i turst youd be going over to correct it anyway, thus making thee tag not worthwhile ;)(] (]) 03:50, 18 October 2010 (UTC)).
			== Thanks and a Question ==
			Hey, thanks for the capitalization fixes on the Lie conformal algebra page I started. I have a question, though. All the math sections appear as pictures of some sort except for one, which appears as text (e.g. you can highlight individual characters). How do I fix this?
			Thanks! ] (]) 16:14, 19 October 2010 (UTC)
			== ]es ==
			Just a comment after your recent edits of my draft article on ]: At that point in time (i.e. mid-16th century) there were not only English refugee churches, but French and Dutch refugee churches as well. Frankfurt harbored both English and French refugee churches, and ] came to ] to mediate among the ''French'' refugee churches, not the English ones. ] was the pastor of the English refugee church in Frankfurt, and mediated the exchange between Velsius and Calvin; later on Horne returned to England and became bishop of Winchester.<br> btw, Velsius was a highly controversial figure, and stirred up unrest wherever he went. After he was thown out of Frankfurt he went a.o. to London, where he caused an uproar at the Dutch refugee Church there; then he returned to Holland where he was jailed for many years, and ended his carreer as a faith healer. It is going to take some time to get this straight. ] (]) 12:35, 22 October 2010 (UTC)
			==Reply==
			You have a reply on my talk page regarding Goblin --] (]) 11:48, 7 November 2010 (UTC)
			==Move NATO phonetic alphabet?==
			You are invited to join the discussion at ]. — ] (]) 08:27, 9 November 2010 (UTC) <small>(Using {{]}})</small>
			== math check ==
			there is a political math page (]), which is rather poor. I may be a ] but im not a mathemagician. i was wondering if you could review the relevant part or know of it in general to better source it.
			:ps- also, your wikiproject banner is a little off. for some reason the regular <nowiki>{{WikiProject Maths}}</nowiki> doesn't work (it links to somethign that would probably never be used), and ''math'' is also singular ;)] (]) 00:51, 11 November 2010 (UTC)
			::The best work on this area is by Friedrich Pukelsheim, who apparently has influenced or at least been heard by EU officials. The probability-distribution work is goes back to Diaconis and Freedman and even further to Mosteller & co. I would think that Balinki and Young's book on apportionment would be needed on such an article. Best regards, ] (]) 00:54, 19 November 2010 (UTC)
			== New meetup ==
			{{Minnesota meetup|date=20 November 2010|time=1:00-3:30<br>(])<br>] by Nov. 17 for free lunch + parking<br>|place=]<br>345 Kellogg Blvd, ], ]<br>{{Coord|44.95|-93.1055|type:landmark}}}}
			== Not supported by the text?? ==
			Correct. Lying along the boarder is not the same as defining the border which is what the categories are for. ] (]) 02:37, 17 November 2010 (UTC)
			==Agreed, but==
			as I mentioned on the discussion page, Keep Your Shirt On! :) This was just paste of an entire section cut out by one of my stalkers from another page, where of course it made sense in context. I moved the dasterdly material to its own page, as suggested, and as soon as I get a chance I will put in the parts to a standalone entry that you and I both agree it needs.] (]) 23:17, 17 November 2010 (UTC)
			:For clarity, I prefer comments on the discussion page of the article that the comments refer to, as opposed to an editor's talk page.] (]) 23:19, 17 November 2010 (UTC)
			::I've now done the first edit all the way through, although I'm sure others will now jump in to edit it. Sorry for the multiple saves, I have't mastered using the sandbox so it is safer to make incremental saves.] (]) 19:39, 18 November 2010 (UTC)
			== ]'s "]" ==
			Hi Michael!
			Would you look at my ], where editor ] wrote "]". I replied but could use a second opinion about my civility. I also added a single-purpose account template by him. If my reply is inappropriate or the template is inappropriate, then I would authorize you (and implore you) to remove anything inappropriate. (I am sorry but I have to go, now, to sleep.)
			I'm sorry to leave this message, but I have to sleep. I also thought that you have been helpful to Edstat, so you were a neutral person.
			Best regards, but apologetically,
			] (]) 00:50, 19 November 2010 (UTC)
			:I was invited to help improve the ANOVA page. The topic on underlying assumptions was incomplete, so I added a referenced addition that applies to the factorial layout. Keifer.Wolfowitz deleted it. I assumed in good faith K.W didn't like the place it was inserted, even though it was a discussion of underlying assumptions, and moved it to another section that, although not on assumptions, was specifically about the factorial layout. He again deleted it with the caustic Edit summary: "off-topic promotion of Sawilowski again". The "again" is a reference to Kiefer.Wolfowitz's stalking of any page I edit where he routinely deletes, gets angry, makes personal attacks, etc.
			:For the case at hand, Kiefer.Wolfowitz deleted something that was appropriately referenced, and he explained on his talk page his justification: Why, he is a statistician!
			:I'm done working on any page that he edits or stumbles onto. I'm done with mathematicians and mathematical statisticians who insist on ignoring the lessons learned in the past 30 years by '''applied''' statisticians. I won't by bullied or stalked anymore, because as long has he and the various editing cabals continue making wikipedia their personal playground, I'll spend my time doing some else.
			:Actually, I came to your talk page for an entirely different reason, and if we work fast, maybe we can get something done before I get wikified again. On the Anova on Ranks page (which, of course, was a wholesale delete by Kiefer.Wolfowitz from the ANOVA page (he never bothered to read the history pages, or he would have realized I didn't start that section - others did!), my concern is that the "logic of the F test" section is really a redo of what is on the ANOVA page. I came to this page to ask you if you think it should stay, or if the reader should be referred to the ANOVA page. (My opinion is it should stay despite being redundant, because the ANOVA page is so filled with sillyness it is just about useless - just ask anyone in a stat class what they get out of the page - I have).] (]) 14:10, 19 November 2010 (UTC)
			::Edstat, you have made the same complaints today and yesterday on my talk page, and on the ANOVA article talk page, at least. Could you try to write only on my talk page, so that others can follow the discussion (if they have a masochist personality). It might be useful for a Wikibreak for you and me both, okay? Sincerely, ] (]) 14:20, 19 November 2010 (UTC)
			== ], citing Speiser ==
			I haven't cited Speiser directly there because I'm quoting there what Curtis and Reiner say about Speiser's result. I haven't had a chance to track down Speiser's book yet. The citation for the book, which I'll include as soon as I get a copy, is {{cite book |title=Die Theorie der Gruppen, von endlicher|last=Speiser |first=A. |year=1937|location=Berlin|edition= 3rd}} I don't think I should include the citation until I've actually read it and can get the relevant page numbers, etc. ] (]) 03:29, 19 November 2010 (UTC)
			==Notablity==
			Note that when I tagged the math article for lack of demonstration of notability and lack of references, it was a 3 sentence unreferenced stub. It looks much better now, and I have no objection to your removal of the tags, since it appears to satisfy the general notability guideline. For future reference, please read (or reread) ]. Your statement that it is notable because famous mathematicians edited it is completely irrelevant to notability as Misplaced Pages defines it, since we require multiple reliable and independent sources with significant coverage of the subject, and are unimpressed by claims of credentials. Thanks. ] (]) 21:04, 20 November 2010 (UTC)
	:		:
			: I think you misunderstand. I am aware that evidence of notability must appear in the article rather than in the edit history. But the edit history sometimes provides evidence that such details can appear in the article in the near future, because those who edited the article are people who would know what information to add to the article and are continuing to work on it. ] (]) 21:14, 20 November 2010 (UTC)
	The usual practice involves notifying the relevant communities. That was not done. Very likely no one who is knowledgeable about or interested in the article's topic besides me has posted on the AfD page on this article.
			::Do you recall the "], in which an editor claimed that he had such fine credentials that what he wrote should go unchallenged? I heard an echo of that in your statements that if folks you trust and admire edited an article, then the subject should not be tagged on notability grounds. I still disagree, if that is what your intent is. Any person knowledgable in a field can draft an article in his own sandbox until it meets basic notability standards, complete with references, before moving it to main space. I have done that many times, as opposed to posting a poor stub and leaving it for myself or others sometime later to add references. A tag is not a threat or a condemnation of the article or its editors, but rather the noting that some more work is needed, as was the case here. ] (]) 18:57, 21 November 2010 (UTC)
			: I didn't say it should not be tagged; I said it was why I removed the tag. It can make sense to tag an article and to remove the tag later. This is not comparable to the Essjay situation because in that situation the only reason to think the person had the credentials was his assertion. In this case it's easily verifiable. ] (]) 02:47, 22 November 2010 (UTC)
			::References matter; "verifiable expertise" of editors does not, in any way, establish notability. I would, however, note the editing history and perhaps the claimed expertise of an editor in deciding whether to tag some amazing new article as a possible hoax. Thanks again for your courtesy in letting me know you had removed the tag. ] (]) 20:09, 22 November 2010 (UTC)
			== quasisymmetric functions ==
			Thanks for improving the page entitled ]. After making the page and learning more about wiki pages, I realized I should have named it ] so that other people could link to the page in future documents in the most natural way. If you could make this change, I would be much abliged. I don't see how to change the page title.
			] (]) 00:46, 23 November 2010 (UTC)
			:Sbilley's proposed title is misspelled, with 7 consonants in a row. In college mathematics or engineering classes, a miss was a good as a mile, and sometimes got zero credit. ] (]) 02:37, 23 November 2010 (UTC)
			:: "Edison", I doubt that you ever were denied credit for something like that. More likely you wrote something like
			::: "<math>\scriptstyle f'(5) \,=\, 0</math> because <math>\scriptstyle f' \, </math> is a derivative and 5 is a constant, and the derivative of a constant is zero",
			:: and then you thought the grader was splitting fine hairs when you got no credit for it. I've seen many students do things like that. ] (]) 05:04, 23 November 2010 (UTC)
			== ] ==
			Hi Michael, I noticed your post about the new ] article at the Chemistry WikiProject. Just FYI, since the article is a ], someone will rapidly challenge it as unreferenced and propose it be referenced or deleted. So, I advise you add some references soon. Regards. ] (]) 05:23, 25 November 2010 (UTC)
			== Merger of ] with ] ==
			You may be interested in ]. ] (]) 17:23, 25 November 2010 (UTC)
			==]==
			If you feel you can provide a unbiased, technical and scientific review on the ] article please read ]. A couple of users have attempted to ''simplify'' the ] and in the process have introduced a number of technical errors. I believe we may need to revert the content to the by ], if not earlier. Thanks. ] (]) 18:48, 29 November 2010 (UTC)
			== Defining a ] with an "infinite expression" ==
			I'd appreciate your input in ] of the current lead in of the ] article. —]&nbsp;(]&nbsp;&#124;&nbsp;]) 20:09, 30 November 2010 (UTC)
			==] of ]==
			]
			The article ] has been ]&#32; because of the following concern:
			:'''recently invented term which does not appear to have any great currency or circulation.'''
			While all contributions to Misplaced Pages are appreciated, content or articles may be ].
			You may prevent the proposed deletion by removing the {{tlc|proposed deletion/dated}} notice, but please explain why in your ] or on ].
			Please consider improving the article to address the issues raised. Removing {{tlc|proposed deletion/dated}} will stop the ], but other ]es exist. The ] process can result in deletion without discussion, and ] allows discussion to reach ] for deletion.<!-- Template:PRODWarning --> &nbsp;] 15:57, 2 December 2010 (UTC)
			== Nomination of ] for deletion ==
			<div class="floatleft" style="margin-bottom:0">]</div>A discussion has begun about whether the article ], which you created or to which you contributed, should be ]. While contributions are welcome, an article may be deleted if it is inconsistent with Misplaced Pages policies and guidelines for inclusion, explained in the ].
			The article will be discussed at ] until a consensus is reached, and you are welcome to contribute to the discussion.
			You may edit the article during the discussion, including to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. ]<span style="font-size: smaller;"> (] · ])</span> 17:05, 4 December 2010 (UTC)
			==Anova on Ranks==
			Hi. I asked another editor on their user page a question about the section on explaining the F test but after a few weeks I got no answer. Although I think it helps to understand what is ANOVA on Ranks by taking a few sentences to explain (in a non-mathematical way, ulike the confusing ANOVA page) what it is. However, the explanation may be unnecessary by simply referring the reader to the ANOVA page. If you have a chance, could you please take a look at that page and see if you think the section "Logic of the F test on means" is necessary? Thanks.] (]) 14:13, 10 December 2010 (UTC)
			== convention on the sign of Bernoulli number <math>B_1</math> ==
			Hi Michael -- I'm wondering how best to clean up the article on the ]s, and I thought you might be able to give me some advice.
			Currently the article is rather confusing, since it uses two different conventions for the sign of <math>B_1</math>, but with the same symbol, with some rather unsystematic remarks here and there which convention is being applied in each case. In some cases the conventions are distinguished by an additional argument and in others they aren't. In trying to get to the bottom of this, my first impression was that <math>B_1 = -1/2</math> is in fact the "conventional convention", and that <math>B_1 = +1/2</math> was mostly being pushed by ] (e.g. and ), with a POV tendency to call the <math>B_1 = -1/2</math> convention "unfortunate". (See also ] and the link provided there.)
			I had arrived at the conclusion that the article should use the "conventional convention" <math>B_1 = -1/2</math> and only mention the other one as an alternative, and should not keep switching between the two and treating them as equally notable, as it currently does, mainly due to Wirkstoff's edits. However, then I came across you made in the article on the ], where you state that the Bernoulli numbers are the values of the Bernoulli polynomials at 1 -- this corresponds to the convention <math>B_1 = +1/2</math> (whereas <math>B_1 = -1/2</math> corresponds to the Bernoulli numbers being the values of the Bernoulli polynomials at 0). So I wanted to ask you whether you intentionally used that convention, how notable you think it is and how you think these different conventions should be treated in the article on the Bernoulli numbers. Thanks for any insight you may be able to provide.
			(To make things even more complicated, there appears to be a third convention, which treats the even-numbered Bernoulli numbers as a sequence with half the index -- this is used e.g. in ] and also in my Taschenbuch der Mathematik ("Handbook of Mathematics") by Bronstein. I guess this convention should also be mentioned?) ] (]) 06:15, 11 December 2010 (UTC)
			: I seem to recall there was some occasion in one article to follow that other convention. So maybe your edits should be implemented and the other one should be mentioned only where there's an occasion for it. More later...... ] (]) 18:49, 11 December 2010 (UTC)
			== Telescoping series ==
			Thanks for your note and the correction. I agree that your new version with "this" inserted is better than what I'd written, but the previous version without "this" was at least misleading, if not wrong. "Regrouping" isn't formally defined in the article, and I took it to mean something like "rearrangement" -- I see now that it's intended to mean only placing parentheses around groups of terms, i.e. effectively taking some subsequence of the sequence of partial sums, and with that meaning it's true that "regrouping" depends on the terms converging to zero, but since "regrouping" isn't defined I think "this regrouping" makes it clearer -- alternatives would be to write "this kind of regrouping", or briefly define what's meant by "regrouping".
			Have you had a chance to further look into the Bernoulli number convention problem?
			] (]) 01:13, 19 December 2010 (UTC)
			: Hello. I haven't looked at that closely in the past few days. Pretty soon.... ] (]) 05:16, 19 December 2010 (UTC)
			== WikiProject Sociology membership ==
			I see that within the last year you have made at least one substantial comment at ], but you have not added yourself to the project's ]. This prevents you from, among other things, receiving our sociology newsletter, as that member list acts as our newsletter mailing list (you can find the latest issue of our sociology newsletter ]). If you'd like to receive the newsletter and help us figure out how many members we really have, please consider joining our WikiProject and adding yourself to our official member list. Thank you, --<sub><span style="border:1px solid #228B22;padding:1px;">]|]</span></sub> 13:42, 26 December 2010 (UTC)
			== ] ==
			Hi Michael!
			I want to consult Misplaced Pages's leading mathematical-notation maven.
			The article on the ] is written in only Wiki-markup, for simplicity. However, I don't know how to put proper display subscripts on the summation-symbol; now it looks like in-text LaTeX style.
			Finally, the article's Good-Article review is nearing its completion, and would especially benefit now from any advice or criticisms you may have. Thanks again for fixing my bad hyphens some months ago!
			Best regards,
			] (]) 03:35, 15 January 2011 (UTC)
			: I LaTeXed the equations formerly troubling the WikiMarkup language. ] (]) 18:50, 16 January 2011 (UTC)
			===]===
			I misunderstood a suggestion, which was correct. Sorry to Jakob for misunderstanding and mis-representing his sound advice. (My eyesight isn't the best.) Apologies to all! Sincerely, ] (]) 19:30, 16 January 2011 (UTC)
			I hide the mess, which may be useful for other editors, however.
			{{hidden begin}}
			<s>The reviewer (for GA-article status), Jakob.scholbach, cited the WP MOS and told us to use italics for variables but not for sets or the real numbers. (My reading of the MOS then concur with his, although you can read my initial concerns on the article talk page.)</s> ] (]) 18:59, 16 January 2011 (UTC)
			I quote from ]:
			:In the image caption of the Minkowski addition (and anywhere else), only mathematical variables should be italicized. For example Q1+Q2=× should be Q1+Q2=×.
			::I'll check this. LaTeX uses different conventions.
			:::I don't think so. Even if it does, WP:MOSMATH is quite explicit about this (see especially the subsubsection "Variables"). Jakob.scholbach (talk) 12:16, 27 December 2010 (UTC)
			::::I followed your suggestions. I am sorry if I missed any wrongly italicized sets. Also, I consistently used the WP-hypertext formatting, and removed all LaTeX, for consistency. Kiefer.Wolfowitz (talk) 04:26, 12 January 2011 (UTC)
			::::Done! Kiefer.Wolfowitz (talk) 16:45, 12 January 2011 (UTC)
			End of quotation. ] (]) 19:02, 16 January 2011 (UTC)
			: I am very much inclined to disagree with ] (]) 19:30, 16 January 2011 (UTC)] <s>Jakob.scholbach</s> on this one. Here's something in ]:
			:: <math> \sup_{x \in A} f(x). \, </math>
			: The ''A'' is italicized. Can anyone cite something in one of the style manuals that says this shouldn't be done? ] (]) 19:06, 16 January 2011 (UTC)
			<s>Jakob.scholbach is wrong.</s> Here's what ] says in the "sets" subsection under "variables":
			:: Sets are usually written in upper case italics; for example:
			::
			:::''A'' = {''x'' : ''x'' > 0}
			::
			:: would be written:
			::
			:::<code><nowiki>''A'' = {''x'' : ''x'' > 0}</nowiki></code>&nbsp;.
	:		:
			] (]) 19:09, 16 January 2011 (UTC)
	I don't contribute to articles about how to do open heart surgery, unless it's things like spelling corrections, adding a link, conforming to style conventions, etc., because I know nothing about that subject. The fact that "anyone can edit" in no way means that "anyone SHOULD edit" when they don't know anything about the topic. But among those who spend all their time on the AfD page, it is customary to angrily demand that those who actually know something about a subject bow down and act like plantation slaves addressing their masters. That's wrong. ] 19:20, 6 August 2007 (UTC)
	:I suggest that you take this article to deletion review as several people have suggested. Discussion there, on a page that is much higher-traffic than an individual AfD, will not only allow additional eyes to review the article, but provide a forum for your concerns that input from subject-field specialists should be sought when articles in fields such as mathematics are proposed for deletion. Both your concerns about the deletion process and views of the merits of this specific article can there be presented, free from an atmosphere where one of the major concerns raised is about the extraneous matter of your own admin actions. My own input on the DRV, if there is one, is likely going to be to overturn the deletion and either relist or keep the article. Regards, ] 19:39, 6 August 2007 (UTC)
			::Thanks again, Michael. <s>I am relieved that</s> WP style conforms with mathematics tradition and the recent ISO declaration of mathematical typesetting. Cheers, ] (]) 19:11, 16 January 2011 (UTC)
			{{hidden end}}
			== Myers-Briggs Type Indicator ==
			"Myers-Briggs Type Indicator" is a publication. It is spelled with a hyphen, not an en dash. Could you undo the changes you made, please? Thanks! ] (]) 03:50, 24 January 2011 (UTC)
			: If it's a publication, I'd have guessed it would be italicized like a book title. I think I might solicit additional opinions...... ] (]) 03:53, 24 January 2011 (UTC)
			::It's a trademarked term. Here are links to the official websites of the Myers & Briggs Foundation and the publisher, CPP, showing it with the hyphen:
			::http://www.myersbriggs.org/my-mbti-personality-type/
			::https://www.cpp.com/products/mbti/index.aspx
			::] (]) 04:02, 24 January 2011 (UTC)
			== Blanche Charlet Article ==
			Michael Hardy,
			Article: ].
			Would like to invite you to the discussion on ]. There has been a discussion started on her talkpage and would like your feedback. ] (]) 00:12, 29 January 2011 (UTC)
			==Off-Broadway==
			I see that you have edited ] before. Please see the discussion on the talk page, as well as the recent edits, and comment if you wish. Best regards, -- ] (]) 04:20, 1 February 2011 (UTC)
			==Proposed deletion==
			I've just proposed ] for deletion. ] (]) 21:28, 2 February 2011 (UTC)
			Hello.
			You reversed my correction related to ORTHONORMAL matrices.
			I think you should do some research or consult true mathematicians. In physics as in econometrics, it is a habit to call orthogonal matrices which are really orthonormal. This is because they usually work with normalized vectors or automatically normalize vectors and matrices. But the true mathematical definitions differ as a perfectly orthogonal matrix, which is not normalized is NOT its transpose-inverse.
			Simple example:
			A = , is ORTHOGONAL and its transpose is At =
			BUT: A.At = is obviously not the identity matrix.
			There atre two different names because there are two different objects.
			Physicists and economists may call it what they want, but in mathemetics, orthogonal does not mean orthonormal.
			raphaelcohen@xplornet.com <span style="font-size: smaller;" class="autosigned">—Preceding ] comment added by ] (]) 22:17, 4 February 2011 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->
			: I am a mathtematician and I first encountered the term ] in a geometry course for which the text was Snapper & Troyer's ''Metric Affine Geometry''. I've since seen this definition relied on in many papers, books, seminar and colloquium talks, and in other courses that I took later. I would seem to make sense to call these "orthonormal matrices" instead of "orthogonal matrices", but the latter name became standard in the 19th century and has been so ever since. ] (]) 00:39, 5 February 2011 (UTC)
			::: PS: Also see ], in particular where it says the orthogonal groups over the reals are ]. Obviously they wouldn't be compact if your proposed definition of "orthogonal matrix" were relied on. ] (]) 00:41, 5 February 2011 (UTC)
			:::: PPS: You might want to pursue this issue at ]. ] (]) 00:43, 5 February 2011 (UTC)
			==] of ]==
			]
			The article ] has been ]&#32; because of the following concern:
			:'''WP:N -- Can't find any reliable, secondary sources that provide in-depth coverage of this author or either of his two books in order to establish notability under WP:GNG nor WP:AUTH. (Not a BLP, I suspect the preface to one of the books is enough to establish his death in 2003.)'''
			While all contributions to Misplaced Pages are appreciated, content or articles may be ].
			You may prevent the proposed deletion by removing the {{tlc|proposed deletion/dated}} notice, but please explain why in your ] or on ].
			Please consider improving the article to address the issues raised. Removing {{tlc|proposed deletion/dated}} will stop the ], but other ]es exist. The ] process can result in deletion without discussion, and ] allows discussion to reach ] for deletion.<!-- Template:PRODWarning --> ]] 08:41, 5 February 2011 (UTC)
			== Ptolemy's Theorem ==
			Hi
			Your cleanup on this article noted. Thanks.
			] (]) 13:47, 6 February 2011 (UTC)
			== ''The Signpost'' interview ==
			{{tmbox|image=]|text="WikiProject Report" would like to focus on '''WikiProject Mathematics''' for an upcoming edition of ''The Signpost''. This is an excellent opportunity to draw attention to your efforts and attract new members to the project. Would you be willing to participate in an interview? If so, you can find the interview questions ''']'''. Just add your response below each question and feel free to skip any questions that you don't feel comfortable answering. If you have any questions, you can leave a note on my talk page. Have a great day. – ''']''' (]) 04:09, 7 February 2011 (UTC)}}
			== Continuous repayment mortgage ==
			Hello Michael
			Many thanks again for another cleanup operation on the above article. I will endeavour to read the necessary conventions you refer to. Apologies for creating extra work for you.
			Greatly appreciate removal of "too complex" tag - don't think my modest level of Maths is anywhere near deserving such!
			] (]) 17:43, 17 February 2011 (UTC)
			==] of ]==
			]
			The article ] has been ]&#32; because of the following concern:
			:'''Tagged as being unencyclopedic since April of 2008. See talk page.'''
			While all contributions to Misplaced Pages are appreciated, content or articles may be ].
			You may prevent the proposed deletion by removing the {{tlc|proposed deletion/dated}} notice, but please explain why in your ] or on ].
			Please consider improving the article to address the issues raised. Removing {{tlc|proposed deletion/dated}} will stop the ], but other ]es exist. The ] process can result in deletion without discussion, and ] allows discussion to reach ] for deletion.<!-- Template:PRODWarning --> ] 04:16, 21 February 2011 (UTC)
			:BTW, I am walking my way through all the articles with technical tags and will, no doubt, run into math articles again and again, so any criticism or correction of the way I have handled the first few would be very much welcome. Thanks! ] 05:42, 21 February 2011 (UTC)
			== Mean of a function ==
			Hi. I have added some text giving an intuition for the mean of a function:
			http://en.wikipedia.org/search/?title=Mean&oldid=415287430#Mean_of_a_function
			Would appreciate your thoughts. Thanks.
			] (]) 08:27, 22 February 2011 (UTC)
			== "Bloch wave - MoM Method" page ==
			I think I may have inadvertently undone some of your style changes, not realizing they were done for compliance with Misplaced Pages standards. I'll go back and put things back the way you had them, but I may not get everything... perhaps a second look on your part may be a good idea. <span style="font-size: smaller;" class="autosigned">—Preceding ] comment added by ] (]) 07:29, 24 February 2011 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->
			: I think you probably got everything. Thanks. ] (]) 16:12, 25 February 2011 (UTC)
			== Proposed rename ==
			This is just to let you know that I have place a proposed rename at ], an article you have previously be concerned with. ] (]) 09:51, 25 February 2011 (UTC)
			== Gilbert Model article ==
			Hi Michael, I saw the comment you left in the body of the ] article. I moved it to the talk page as a matter of course. I don't have any expertise in the field and don't think I can make the changes you suggest--but why don't you do it yourself? ] (]) 06:07, 28 February 2011 (UTC)
			== Hyphenation question ==
			Michael, I hope you'll humor a silly formatting question. In the phrase "X-Y-plane", what is the correct kind of dash/hyphen/etc. to use? Also, is "XY-plane" better? I think not, because it suggests that X and Y are multiplied, but maybe this is pedantic. ] (]) 19:03, 23 March 2011 (UTC)
			: I write ''xy''-plane, but I've never thought through the issues nor researched prevailing usages. ] (]) 23:08, 5 April 2011 (UTC)
			: I was taught to use "''x,y''-plane", with a comma. It looks good and makes more sense than either a hyphen or juxtaposition. Not sure how best format that here, but in LaTeX it would be "$x\,y$\nobreakdash-plane" ] (]) 00:11, 25 March 2012 (UTC)
			== Where ==
			You asked where the use of a capital "W" on mid-sentence "where"s comes from. In my experience this arises from auto-correct facilities in word-processors such as "Word", where a mid-sentence displayed equation is treated as if that were the end of a sentence and where the option to auto-capitalise the first letter of a new sentence is switched-on. ] (]) 09:27, 5 April 2011 (UTC)
			: Interesting. That plus inattention seems to explain it. ] (]) 23:04, 5 April 2011 (UTC)
			== Fuzzy matrix theory ==
			I think I shed some light there. Perhaps you can form an opinion now? Thanks, ] (]) 18:17, 14 April 2011 (UTC)
			== equations ==
			hi. Regarding your recent changes to ]: Can you point me to discussion/policy that justifies use of text formatting for displaying inline math symbols rather than using the ''math'' tag/environment? - ] <small>(] &#124; ])</small> 06:25, 15 April 2011 (UTC)
			: It's been discussed repeatedly over the years at ], and I suspect also at ]. Among the matters discussed are the terrible alignment, thus:
			:: blah blah blah <math>e_2\,</math>, <math>e^2</math> blah blah blah
			and the fact that punctuation gets pushed to the next line as the window geometry varies, thus:
			:: (for example, <math>\int_0^\infty 1\,dx</math>
			:: ) and so on and so on
			(and similarly with commas, periods, etc.) and the gross mismatches in size, whereby <math>x^2\,</math> is three or four times as big as&nbsp;''x''<sup>2</sup> (this is browser-dependent, I think).
			:
			I'll see if I can find particular discussions, although making an exhaustive list of them is probably impossible. ] (]) 15:59, 15 April 2011 (UTC)
			:::Thanks for the pointer. Although I think the use of serif font is important for math formulae (my comment at ]). - ] <small>(] &#124; ])</small> 22:41, 15 April 2011 (UTC)
			There is this template:
			: in general it uses at most {{math|2 &minus; 2/''W''}} times as many levels as necessary.
			:
			] (]) 02:16, 16 April 2011 (UTC)
			== Nomination of ] for deletion ==
			<div class="floatleft" style="margin-bottom:0">]</div>A discussion is taking place as to whether the article ''']''' is suitable for inclusion in Misplaced Pages according to ] or whether it should be ].
			The article will be discussed at ] until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on good quality evidence, and our policies and guidelines.
			Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. —] (]) 16:25, 15 April 2011 (UTC)
			== Bicycle and motorcycle dynamics ==
			Thanks for taking a look at the article. I would like to see it be as good as possible, so I have a couple of questions for you.
			:*It looks like you altered the rendering of some symbols but not all. Did you do just what you had time for, or is there a deeper reason?
			:*On my browser, the inline LaTeX looks just fine and produces a perfect match for the sympols used in formulae. Switching between LaTeX and HTML, however, produces things like <math>v\,\!</math> vs <math>v</math> vs ''v'', where the first rendering seems barely recognizable as equivalent to the third to me. Is there a better option, or I just being too picky about the wrong thing?
			Thanks again for your help. -] (]) 14:21, 17 April 2011 (UTC)
			Two italicized "''v''"s are both recognizable as italicized "''v''"s, but when ] is used in an inline setting, the the characters often appear three or four times as big as the surrounding letters, and they align badly (e.g. too high or too low, or in the expression "''v''.", the period ends up on the next line, etc.). And you get things
			: like this: <math>e^2\,</math>, <math>e_2\,</math>
			:
			where the two "''e''"s should be at the same level but are not. ] (]) 16:56, 22 April 2011 (UTC)
			== Responding to Tuesday's help desk question ==
			I tool me a while to find this, but it you solve for the tangent in your expression you obtain (essentially) formula (7) .--] (]) 15:34, 22 April 2011 (UTC)
			: Interesting.
			: Thank you. ] (]) 16:57, 22 April 2011 (UTC)
			==Rexer DM survey notability dispute==
			Hello. I am disputing the ] tag added by ] to the ] article. Do you know of any other ], ] sources that demonstrate the topic's notability? Thanks. --] (]) 20:21, 22 April 2011 (UTC)
			== nowrap ==
			Since you seemed to get agitated about nowrap in , let me say first that I sympathize; often there seems to be no rhyme or reason to the use of nowrap. But let me just say two points in favour of nowrap, if properly used for math formulas. First it is maybe easier to type, and read in the source, {{nowrap|''x'' {{=}} 0}} than ''x''&nbsp;=&nbsp;0 (not so convincing in fact if you can get &amp;nbsp; by clicking). Second, nowrap is ideally suited to be replaced by 'math' so {{nowrap|''x'' {{=}} 0}} changes into {{math|''x'' {{=}} 0}}. This is often what I do mechanically when see nowrap in text I'm editing (usually for other reasons). ] (]) 10:11, 28 April 2011 (UTC)
			: I never objected to the use of nowrap. I objected to the weird way in which it was used without proper spacing, when the whole point of nowrap is to allow such spacing without upsetting the format with line-breaks. ] (]) 13:34, 28 April 2011 (UTC)
			== why work on deleted page? ==
			Hi Michael, ] will soon be deleted, as per the deletion discussion, hope you are aware of this. ] (]) 16:53, 28 April 2011 (UTC)
			==Breaking images==
			Please be more careful when inserting en-dashes. Your to ] broke the display of two images, because you changed hyphens to en-dashes in the filenames, which of course only works if you also rename the images (which you didn't do). --] (]) 21:39, 6 May 2011 (UTC)
			: Sorry&mdash;I try to be attentive to that. ] (]) 21:10, 7 May 2011 (UTC)
			== Using lists . ==
			Your list of mathematics terms interests me, as I have used a list of 1,000 of the most common mathematics terms used in primary and secondary school mathematics student textbooks (and OER textbooks like: CNX and CK12's materials)to study how and where they are being used since 1970. The spreadsheet format that I use gives a very quick understanding of the distribution of these terms. The website provides the information.
			I wonder is anyone at Misplaced Pages looking a primary school mathematics content? It seems ever page progresses to higher mathematics - way beyond a primary school educators interest.
			Jim Kelly <small><span class="autosigned">—Preceding ] comment added by ] (] • ]) 00:16, 7 May 2011 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
			== Archaic Greek Letters and all that ==
			I have, as you might know from off wiki discussions, been recently trying to improve Texvc. I am starting to get the impression that lots of things that people find annoying about it are not reported as bugs, so if anything occurs to you feel free to drop me a line directly. I am well aware of the big issues, image alignment, and I recently became aware that the image cache never expires (which means some bugs have technically been fixed, but since the images never get re-rendered, the correct rendering ''never'' gets passed on to the viewers.
			But aside from these issues that occur to you let me know. Mostly I would like someone to talk over my ideas with. I was thinking what is really needed is an <imath> tag for inline math. Even if initially it just renders things with a single dollar sign, it seems necessary to have a distinction between the two if we would like to improve everything as a whole. But maybe that is just me.
			Also I would be curious what you think about the choices it makes about which symbols are suitble for rendering as simple html. To me many things should probably include spaces that do not. But issues like -3 give me pause. You don't want <math>-3</math> to start rendering as &minus;&nbsp;3, um... wait those appear the same maybe I should fix that. Well hopefully I made the point a little care should be take at times. So it is always helpful to bounce ideas off other people and try to get a sense of what fixes are important to the community. ] (]) 02:54, 7 May 2011 (UTC)
			: If the "imath" tag can be well-designed, it would certainly be a substantial contribution. ] (]) 21:09, 7 May 2011 (UTC)
			:: I am glad to see this finally came through, but sad to see I caused lots more problems with my other patches. :( ] (]) 23:05, 12 October 2011 (UTC)
			== Merger proposal ==
			==Merge discussion for ]==
			] An article that you have been involved in editing, ], has been proposed for a ] with another article. If you are interested in the merge discussion, please participate by going {{ #if: Talk:Twin prime |]|to the article and clicking on the (Discuss) link at the top of the article}}, and adding your comments on the discussion page. Thank you. ] (]) 19:54, 7 May 2011 (UTC) <!-- Template:mergenote -->
			== RFC on combinations ==
			Michael Hardy, I see you're a mathematician. I found the use of falling factorials jarring and less than useful on the article on ]s, and submitted an ]. Since you have expertise in math, I thought I would solitict your comments there. Thanks. ] (]) 16:11, 8 May 2011 (UTC)
			== LZ77 LZ78 article ==
			I added a new section to the discussion for this article.
			]
			] (]) 21:13, 13 May 2011 (UTC)
			:LZ78 section needs correction and perhaps a rewrite, but I'm not sure who to consult with. The patent reference should be moved elsewhere or removed. In the case of hardware, LZ77 is more popular than LZ78 because it's much easier to implement. For example, if I remember correctly, the patent algorithm description for LZ77 (LZ1) is about 5 pages, while LZ78 (LZ2) is about 14 pages. ] (]) 15:15, 12 November 2011 (UTC)
			== Copulas ==
			Hi Michael Hardy. As you are one of the most active wiki-mathematicians and you once made some edits to the article ], I would like to ask you about something. I would like to develop and improve the latter article. Started with that on sunday, but got completely reverted by some guy who calls probability theory a small subset of statistics... I dont want to start an edit war. could you have a look at my edits and comment? or even better, if you have some time free, help editing? that would be great! I dont insist on the renaming, but the content revertions i do not understand. regards, ] (]) 19:02, 17 May 2011 (UTC)
			== ] ==
			In light of your participation in the discussion(s) regarding the treatment of disambiguation pages on the "Lists of mathematics articles" pages, please indicate your preference in the straw poll at ]. Cheers! ] ] 18:55, 23 May 2011 (UTC)
			: Thank you. ] (]) 20:46, 23 May 2011 (UTC)
			== Palm calculus ==
			Thanks for commenting on the stub on Palm Calculus. I'm glad you don't disbelieve the assertion :) I've made the first sentence clearer (it studies the relationship between conditional and time-average probabilities, not simply the former in isolation). Could you please remove the "disputed" tag, but leave the "expert needed" tag? Also, it doesn't really matter who Palm was, but I have added his first name anyway... ] (]) 02:06, 25 May 2011 (UTC)
			== mess in Random Matrix article ==
			Hello,
			it seems that my revision of the ] article
			created an even bigger mess than what was there before, so
			I need some help/advise from an experienced wiki-person. Basically,
			the article is now my version, which is far from perfect by
			itself, with pieces of older versions inserted at
			arbitrary places by users who feel (perhaps correctly) that I
			erased important topics. If you would have time to have
			a look at the article, it would be great.
			Thank you very much,
			] (]) 18:54, 30 May 2011 (UTC)
			:: Thanks a lot!!!
			:: ] (]) 18:10, 3 June 2011 (UTC)
			== Main page appearance ==
			Hello! This is a note to let the main editors of ] know that it will be appearing as ] on June 5, 2011. You can view the TFA blurb at ]. If you think it is necessary to change the main date, you can request it with the featured article director {{user|Raul654}} or at ]. If the previous blurb needs tweaking, you might change it—following the instructions of ]. If this article needs any attention or maintenance, it would be preferable if that could be done before its appearance on the ] so Misplaced Pages doesn't look bad. :D Thanks! <small>]</small> ]] & ], ] 04:03, 4 June 2011 (UTC)
			<div style="background-color: #D4AF37; border: 1px solid #1234aa; box-shadow: 0.1em 0.1em 0.5em rgba(0,0,0,0.75); -moz-box-shadow: 0.1em 0.1em 0.5em rgba(0,0,0,0.75); -webkit-box-shadow: 0.1em 0.1em 0.5em rgba(0,0,0,0.75); border-radius: 1em; -moz-border-radius: 1em; -webkit-border-radius: 1em; padding: 8px; height: 1%;">
			<div class="plainlinks" style="background-color: #FFFFFF; border-width: 1px; border-style: solid; border-color: #88a; box-shadow: 0.1em 0.1em 0.5em rgba(0,0,0,0.75); -moz-box-shadow: 0.1em 0.1em 0.5em rgba(0,0,0,0.75); -webkit-box-shadow: 0.1em 0.1em 0.5em rgba(0,0,0,0.75); border-radius: 1em; -moz-border-radius: 1em; -webkit-border-radius: 1em; margin-left: auto; margin-right: auto; padding: 1em 1em .5em 1em;">
			<div style="float:left;margin:0.5em 0.9em 0.4em 0">]</div>
			The ''']''' of a number is the ] by which a fixed number, the ], has to be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3: {{nowrap|1000 {{=}} 10<sup>3</sup> {{=}} 10&thinsp;×&thinsp;10&thinsp;×&thinsp;10.}} Logarithms were introduced by ] in the early 17th century as a means to simplify calculations. They were rapidly adopted by scientists and engineers to perform computations using ]s and ]s. These devices rely on the fact&mdash;important in its own right&mdash;that the logarithm of a ] is the ] of the logarithms of the factors. ]s reduce wide-ranging quantities to smaller scopes. For example, the ] is a logarithmic unit quantifying ] and voltage ratios. Logarithms describe ], measure the ], and appear in formulas counting ]s. They also inform some models in ] and can aid in ]. (''']''')
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			== General minimum distance(GMD) decoding listed at ] ==
			An editor has asked for a discussion to address the redirect ]. Since you had some involvement with the ''General minimum distance(GMD) decoding'' redirect, you might want to participate in ] (if you have not already done so). <!-- from Template:RFDNote --> ] (]) 05:21, 6 June 2011 (UTC)
			== thanks for all the cleanup! ==
			] (]) 06:41, 20 June 2011 (UTC)
			== Saros vs. saros ==
			'saros' w/o the capitalization is indeed correct. (refer to "Totality, by Espinak, et. al.) There are probably thousands of instances with the wrong capitalization. I figured to just roll with it, but I think you've appropriately determined that it is not a good idea to capitalize a noun that is not a proper noun. --] (]) 22:44, 22 June 2011 (UTC)
			: as to your (M.H.) question, who is Saros, see ]: it is just a Greek word (after a ]). ] (]) 23:22, 22 June 2011 (UTC)
			I find it done both ways on the web. If some convention requires capitalizing it even though it's not anything like a proper noun, I think that should get explained in the article, otherwise reasonable people will wonder who it's named after: someone named Saros, but what's his first name and where's the Misplaced Pages article about him? ] (]) 03:07, 23 June 2011 (UTC)
			: In the Oxford American Dictionary and any other dictionary I've looked up 'saros' in, it is a common noun. I don't think this is about convention, but proper grammar. NASA's entire eclipse website capitalizes 'saros' (probably only because the sight has no professional editor), that doesn't make it right. Interestingly, the same author of NASA's eclipse website, in a published work (the above mentioned book "Totality") does not capitalize 'saros' or if he did, it was simply edited. --] (]) 12:06, 23 June 2011 (UTC)
			== Opinion? ==
			Cf. ] Best, ] (]) 18:06, 23 June 2011 (UTC)
			== Edits to Meridian arc ==
			May I just say that the use of a mid-height dot for the decimal point was traditionally taught in British schools. It preserves the distinction between the decimal point and the full stop, a distinction which helps when a decimal number occurs at the end of a sentence. I would certainly raise the decimal points in handwritten work. The use of the same symbol for both is laziness in English although normal in, say, German. Furthermore, the distinction of phi and varphi is a matter of taste, not of substance. I simply preferred to use phi in my major rewrite of this article since I find varphi rather inelegant. Neither of these edits added to the content of the article but I shall not trouble to undo them. ] (]) 16:33, 25 June 2011 (UTC)
			: The use of the middot as a decimal point fails to preserve the distinction between that and the other frequent use of the middot for multiplication. ] (]) 16:44, 25 June 2011 (UTC)
			== Integer broom topology ==
			Thanks for your recent edits. I was wondering about the change from Integer Broom to integer broom. I thought about this myself, and then decided that because it's the name given to the space then it should be in capitals. We write Coca Cola and not coca cola, after all. <span style="white-space:nowrap;">— ] <span style="color:#000000;">(])</span></span> 03:36, 27 June 2011 (UTC)
			:Hello? <span style="white-space:nowrap;">— ] <span style="color:#000000;">(])</span></span> 03:47, 27 June 2011 (UTC)
			(Doesn't strike me as comparable to Coca Cola. Anyway, certainly Misplaced Pages is generally sparing in the use of capitals.) ] (]) 03:52, 27 June 2011 (UTC)
			:Names always have capital letters like Michael Hardy for example. I know a man called Michael Hardy, I have a Ford card, I bought a can of Coca Cola, we consider a topological space called the Integer Broom. I'm just wondering why you changed it when it goes against standard English usage. What is/are the relevant section/s of ] and/or ]? <span style="white-space:nowrap;">— ] <span style="color:#000000;">(])</span></span> 03:56, 27 June 2011 (UTC)
			== Can you please review ==
			Hello,
			I did found an and I need someone to review it and tell me is it really novel as I didn't find anything like it anywhere.
			Thanks
			] (]) 03:35, 29 June 2011 (UTC)
			== Italic in HTML ==
			Hi,
			what is the convention you adhere to regarding Greek italic? I ] that variables should be italic, whereas π=3.14 should be plain, but you corrected me a couple of times.
			Thanks, and sorry for the ''chutzpah'' (on behalf of someone like me who has just learned what is the MOS) &mdash; I am asking in the hope that if I learn the conventions, it will eventually save your time too.
			] (]) 18:14, 29 June 2011 (UTC)
			: In non-] mathematical notation, I've tried to follow the rule of italicizing precisely the things that would be italicized in ]. Thus:
			:: <math> \lambda \Lambda \pi \Pi \sigma \Sigma \, </math>
			: You see capital Greek letters not being italicized, but lower-case Greek letters in italics. ] (]) 18:25, 29 June 2011 (UTC)
			::: PS: I'd write ''&pi;''&nbsp;=&nbsp;3.14 with '''spaces''' before and after&nbsp;"=". I usually make them non-breakable spaces. Or I might write {{pi}}&nbsp;=&nbsp;3.14, using the "pi" template. ] (]) 18:25, 29 June 2011 (UTC)
			:::: thanks! ] (]) 18:43, 29 June 2011 (UTC)
			I've raised this point at ] with a view toward emending the manual at ]. ] (]) 18:46, 29 June 2011 (UTC)
			: thanks again. I will follow the correspondence there. ] (]) 06:02, 30 June 2011 (UTC)
			:: I have looked at the revised version; in the example there the constant 3.14 is still &pi; (not italic), as opposed to ''&pi;'' denoting a variable. In our discussion above, you used italic in both cases. Do you think this should be changed in MOS too? Thanks again (and 10 more times in advance for the times I will probably bother you with different issues in the near future), ] (]) 10:25, 6 July 2011 (UTC)
			==] editing tips.==
			Hi Michael, thanks for those tips. I'll try to use them
			next time I do some editing. ] (]) 19:55, 29 June 2011 (UTC)
			== Re:Max-min inequality ==
			Ah I didn't realise that format was in the other articles as well. The reason I tagged it as unencyclopedic is because there was so little content, I thought it was inappropriate for Misplaced Pages. I never looked at the other articles (as I discovered the max-min equality article while patrolling Special:Newpages) to see if they had the same format, but at least many of the other articles have more content. Have a nice day, ] ] 04:47, 5 July 2011 (UTC)
			By format I was talking about the math display. ] ] 22:00, 5 July 2011 (UTC)
			== Question about requesting reviews ==
			Hi Michael Hardy. Is the best way to request review for a mathematics article to post a request at the talk at Wikiproject Mathematics page? I know you have looked at the first paragraph of a few of my articles (but perhaps not enough to delete the "unreviewed article" flag). I was hoping to get them reviewed so that the flag would be deleted sometime soon, and I would appreciate any input on how to speed up this process. Maybe you know someone especially interested in reading algebra articles? Good day: ] (]) 14:15, 6 July 2011 (UTC)
			: That's probably the best place to ask people to look at it. Unlike the talk pages of most WikiProjects, people read that page and post to it every day. ] (]) 17:47, 6 July 2011 (UTC)
			::Thanks, and thanks for the formatting improvements! ] (]) 12:30, 7 July 2011 (UTC)
			== Common logarithm ==
			I mentioned an old bad edit of yours at ]. Maybe you have a good fix. ] (]) 04:25, 9 July 2011 (UTC)
			== Amy Winehouse ==
			Thank God there's someone else who's sensible in this place. I spent the last 15 minutes trying to replace that bloody em-dash with an en-dash but kept getting edit conflicted. ]] 17:00, 23 July 2011 (UTC)
			== John Edward Anderson ==
			You are right, there are two articles about him now. ] and ]. I'm absolutely sure they were the same man. ] (]) 19:33, 30 July 2011 (UTC)
			== Nomination of ] for deletion ==
			<div class="floatleft" style="margin-bottom:0">]</div>A discussion is taking place as to whether the article ''']''' is suitable for inclusion in Misplaced Pages according to ] or whether it should be ].
			The article will be discussed at ] until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on good quality evidence, and our policies and guidelines.
			Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. ] (]) 01:32, 1 August 2011 (UTC)
			== suspicious article ==
			Hello Michael,
			as usual, I need some advise. I have bumped into the article
			]; it seems a good candidate for deletion (or at
			least major revision), but I am not sure which tag to place.
			The obvious issues are a) notability, b) hidden
			advertisement in the article, and c) no secondary sources.
			Could you please have a look?
			Thanks, ] (]) 04:12, 1 August 2011 (UTC)
			:Thanks! I saw you improved it a bit.
			:] (]) 19:15, 10 August 2011 (UTC)
			== Proposed deletion of ] ==
			Hi! I contested your prod of ], before realising you probably know at lot more about what you're doing than I do - sorry. If you nominate the article for deletion, I'll lend my support. ] (]) 14:56, 2 August 2011 (UTC)
			== Theorema Quartum ==
			Hello Michael
			In the article on ] there are sections on 'Theorema Tertium' and 'Theorema Quintum' but so far 'Theorema Quartum' has been left out because it is not strictly an application of Ptolemy's Theorem. It is however a neat geometrical device for determination of sine of half angles. Would appreciate your opinion on including it for the sake of completing the detail on how Copernicus derived his table of 'half chords' (aka sine table).
			] (])
			: I'm going to need to dig the ''Almagest'' out of the library again at some point.... ] (]) 03:38, 11 August 2011 (UTC)
			Or check the Copernican section of Hawking's book: On the Shoulders of Giants, Hawking, S 2002, Penguin Books. {{ISBN|0-14-101571-3}}. Alternatively if your 16th Century Latin is up to it: .
			] (]) 16:00, 16 August 2011 (UTC)
			== File:Circumcircle.angles.png listed for deletion ==
			A file that you uploaded or altered, ], has been listed at ]. Please see the ] to see why this is (you may have to search for the title of the image to find its entry), if you are interested in it not being deleted. Thank you. <!-- Template:Fdw --> ] (]) 19:48, 8 August 2011 (UTC)
			== To Michael ==
			Hi Michael, your attention is welcome
			--] (]) 16:09, 18 August 2011 (UTC)
			==Merge discussion for ]==
			] An article that you have been involved in editing, ], has been proposed for a ] with another article. If you are interested in the merge discussion, please participate by going {{ #if: |]|to the article and clicking on the (Discuss) link at the top of the article}}, and adding your comments on the discussion page. Thank you. ]<small>chmedley</small><sup>]</sup> 16:07, 21 August 2011 (UTC) <!-- Template:mergenote -->
			== Template talk:SmithDGRA ==
			:Hi Michael, I've (finally) taken a look at the comment you left on ], and replied there. ] ] 12:59, 30 August 2011 (UTC)
			Thank you. I've edited ] accordingly. ] (]) 18:50, 30 August 2011 (UTC)
			== Context ==
			Thanks for the suggestions on ]. I spent very little time writing that stub, just enough to prevent the link from shorting to the ] page. If you have ideas for further improvements or know of a way of merging it into another page, then by all means go right ahead. ] (]) 21:15, 2 September 2011 (UTC)
			== Mixed volumes ==
			Hi,
			thank you very much for the revision!
			* "&minus;" vs. "-" (and other violations of html-MOS): sorry, this was not on purpose
			* "position" vs. "positions": I am not a native speaker, so I do not want to revert your change unless you approve it, but I think it should be singular rather than plural (I would write "the positions of the bodies", but only one "relative position").
			* could you please explain the issue with spaces for png (at the end of a formula)? I do not quite understand what is the error I keep on making. I usually place a space between TEX and a punctuation sign (for aesthetical reasons that hopefully do not contradict MOS), how does this affect png?
			Best regards,
			] (]) 19:41, 3 September 2011 (UTC)
			: I understand your point concerning "relative position"; I'm going to think about this a bit further. In things like
			:: <nowiki> <math> 2 + 3 = 5 </math> </nowiki>
			: Some editors write
			:: <nowiki> <math> 2 + 3 = 5 \, </math> </nowiki>
			: and the \, at the end is intended to force png rendering, so that it will look like this:
			:: <math> 2 + 3 = 5 \, </math>
			: rather than like this:
			:: 2 + 3 = 5.
			: When there is a comma or a period at the end, one does something like this:
			:: <nowiki> <math> 2 + 3 = 5, \, </math> </nowiki>
			: so that it looks like this:
			:: <math> 2 + 3 = 5, \, </math>
			: but I've seen some people writing this:
			:: <nowiki> <math> 2 + 3 = 5\, , </math> </nowiki>
			: or this:
			:: <nowiki> <math> 2 + 3 = 5~, </math> </nowiki>
			: and my suspicion is that they do that because they've seen things like this:
			:: <nowiki> <math> 2 + 3 = 5 \, </math> </nowiki>
			: and they conclude that some space is needed after the&nbsp;5.
			: ] (]) 03:33, 4 September 2011 (UTC)
			::Thanks for the detailed explanation!
			::I am usually adding the tilde (in my papers as well as in wiki articles) to have some space between the formula and punctuation. Sometimes it prevents confusion, e.g.
			:::<math> 24 = 4!~.</math>
			::versus
			:::<math> 24 = 4!. \,</math>
			::(one can make this even more dramatic with an exclamation mark:) I was not aware of the png issue, now I will keep it in mind.
			::Best regards,
			::] (]) 04:13, 4 September 2011 (UTC)
			== Nomination of ] for deletion ==
			<div class="floatleft" style="margin-bottom:0">]</div>A discussion is taking place as to whether the article ''']''' is suitable for inclusion in Misplaced Pages according to ] or whether it should be ].
			The article will be discussed at ] until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on good quality evidence, and our policies and guidelines.
			Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. ] (]) 19:30, 6 September 2011 (UTC)
			== Lennard-Jones ==
			...is one guy. Can you repair the mess you made please? You can use the excess en dashes in ion–protein and ion–water instead. ] (]) 04:06, 8 September 2011 (UTC)
			==Apologies...==
			Thanks very much for all the millions of incorrect capitals you have corrected in a couple of articles I initiated (] and ]). I have a terrible quirk of using capitals for everything when I write titles and nouns. I never thought it mattered, but looking at other articles, they all only use capitals for the first letter. Apologies you had to waste all that time when you could be using it. You could have just told me off to correct them myself to be honest though - I wouldn't have minded. Yours and thanks again, ] (]) 19:01, 12 September 2011 (UTC).
			== ] ==
			Since you participated in ] you might be interested in ].] (]) 14:41, 15 September 2011 (UTC)
			== Cochran's C test ==
			Michael, thanks for your constructive edit on "my" article about ]! Ruben --] (]) 11:41, 24 September 2011 (UTC)
			== Theory TK of Visual Proportions ==
			Michael Hardy, I would like you to read the new version of ].
			--] (]) 17:32, 27 September 2011 (UTC)
			--] (]) 17:41, 27 September 2011 (UTC)
			== ]: Featured Article Candidate ==
			Dear Michael,
			You are the best expert at formatting issues. The ] is being reviewed at FAC, and this would be a great chance to catch formatting errors or make any improvements.
			Thanks for your past help.
			Best regards, <small><span style="border:1px solid black;padding:1px;">].]</span></small> 04:14, 28 September 2011 (UTC)
			:Hi again, Michael!
			:The article has no opposes and three formidable supports, FA juggernaut Malleus Fatuorum and two experienced economists & Wikipedians (Protonk and Volunteer Marek). Protonk suggested that I renew my requests for volunteer reviewers.
			:The article has a section on probability and measure theory that may especially interest you.
			:Cheers, <small><span style="border:1px solid black;padding:1px;">].]</span></small> 09:48, 7 October 2011 (UTC)
			::Thanks a lot for your help! <small><span style="border:1px solid black;padding:1px;">].]</span></small> 17:08, 7 October 2011 (UTC)
			== Erhan Cinlar and Christian Houdre ==
			Hello Michael,
			You are invited to contribute to the sections of ] and ] to help us making it better. Thank you. ] (]) 19:26, 28 September 2011 (UTC)
			==Shailaja.k==
			Hi i noticed your edits on ]. There was some error in the changed equations. I have rectified them. also, about the paragraph that has been added on the dummy variable trap in the section "incorporating a dummy independent variable": i have explained the dummy variable trap in detail in the section "precautions in the usage of dummy variables". so can that paragraph be removed? it has been repeated. Thanks. ] (]) 20:12, 13 October 2011 (UTC)
			== Grammar question ==
			Could you chime in at ]? Cheers, —'']'' 20:06, 20 October 2011 (UTC)
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			== ] of ] ==
			]
			The article ] has been ]&#32; because of the following concern:
			:'''Page no longer needed; Incomplete disambiguation (see WP:INCDAB]]). Items have now been merged with ] where they will be more easily found.'''
			While all contributions to Misplaced Pages are appreciated, content or articles may be ].
			You may prevent the proposed deletion by removing the {{Tlc|proposed deletion/dated}} notice, but please explain why in your ] or on ].
			Please consider improving the article to address the issues raised. Removing {{Tlc|proposed deletion/dated}} will stop the ], but other ]es exist. In particular, the ] process can result in deletion without discussion, and ] allows discussion to reach ] for deletion.<!-- Template:Proposed deletion notify --> ] ] 13:58, 29 October 2011 (UTC)
			hello michael the genius i just added a few topics to index of wave articles, should i add wave equations to it, how do i add that topic page to another page as a add on. user shawn laser lightning plasma <small><span class="autosigned">— Preceding ] comment added by ] (] • ]) 09:07, 1 November 2011 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
			== Pythagorean ==
			I notice you have created ], which seems to be a content fork of ]. I was tempted to add a speedy tag, but perhaps I am missing something?-- ] (]) 06:44, 10 November 2011 (UTC)
			: In some cases, like ] or ], there should be a page with that title. In this case, maybe there are reasons to merge the two. I'll ponder this further. ] (]) 20:08, 12 November 2011 (UTC)
			== ] ==
			Hello,
			I added two references on this article (the edition listed in the bibliography was in fact a critical study of the primary souce - Fulconis' incunable - and the result of a thesis dissertation that I added). As an Occitan Language writer, Fulconis was studied by ], an occitan critic whose main work on occitan literature I listed in the bibliography. I copied a quote from this book and quickly translated it, but this translation definitively needs to be revised since, as you can see, english is not my mother tongue.
			Please tell me if the could be enough.
			Sincerely,
			--] (]) 12:28, 10 November 2011 (UTC)
			== Usage share of operating systems ==
			There is an ongoing poll ]. As You commented in a related discussion, I would ask You to vote there. &mdash; ] (]) 16:44, 10 November 2011 (UTC)
			== Statistical proof ==
			Hi Michael. You might like to check what is happening to ] since you've been there before! <i><b>]</b> (])</i> 01:44, 11 November 2011 (UTC)
			== Multivariate Normal Distribution ==
			I'd also invite your comment on the ] page regarding how to best to present the MVN in the positive definite / non-negative definite cases. ] (]) 06:30, 12 November 2011 (UTC)
			== ] ==
			Hello,
			please, may I ask you if, with the sources I added, you think it could be possible to remove the tag concerning sources.
			Thank you.
			Sincerely.
			--] (]) 13:06, 16 November 2011 (UTC)
			: I don't think I'm the one who added that tag to the page. ] (]) 04:31, 17 November 2011 (UTC)
			Sorry and thanks.--] (]) 13:46, 17 November 2011 (UTC)
			== out-of-context so-called "definition" ==
			How is anyone who doesn't already know all about the t-distribution supposed to understand when you omitted all explanation of what t&nbsp;values are and the fact that this applies to populations that are ]? ] (]) 14:06, 13 November 2011 (UTC)
			: Regarding the above. I see your point. I took the definition from a standard text but I guess it was out of context. If you could add the examples of scenarios where T-Test can be use and where it can't be used, it would be great. Thanks--] (]) 22:18, 28 November 2011 (UTC)
			== Geometric function theory ==
			You might have noticed that I am adding quite a lot of content on this topic, particularly on ''']s'''. So far that subject is in a very poor state. Adding the content takes time and involves a series of inter-related articles, that could possibly at some stage become a wikipedia category. In particular there is at present no adequate material on singular integral operators (Cauchy transforms) on curves. I intend to write that material in the near future. I would appreciate it if you could please not tag articles as orphans or for rescue in the immediate future, as it sends out a very mixed signal. Up until now, very few others have added content in this subject. (Of course, Oded Schramm was an expert contributor.) Please be more patient. Thanks, ] (]) 12:05, 8 December 2011 (UTC)
			== Latex and mbox ==
			I've come across the ] which you appear to have written. It is good to know that <tt>\text</tt> can be used in &lt;math&gt; formulas in WP, and I will do so when convenient. However, I think the essay does not properly represent the role of <tt>\mbox</tt> in LaTeX, and when I started using <tt>\text</tt> as you suggested I was in for a surprise: namely '''the macro <tt>\text</tt> is not defined in basic LaTeX'''. After playing around a bit I found out that it is actually a functionality added by the <tt>amstext</tt> package (loaded through amsmath). For WP (and stackexchange) it is OK, since <tt>amsmath</tt> is apparently loaded when processing math formulas. However, when your essay is trying to educate general LaTeX users, I think that it should be a bit more nuanced about this, and at the very least mention that a package is required for getting <tt>\text</tt> to work.
			Also I don't get the point you make when you say "When LaTeX is used in the normal way, as opposed to being used on web pages, <tt>\mbox</tt> does not have the effect of causing things to appear in text mode; nor is that its purpose". It certainly does break out of math mode (so spaces no longer are ignored, and many other changes of handling occur), and takes over the attributes of the surrounding text mode (it will for instance use text italics if you happened to be inside a theorem). In fact as far as I can tell <tt>\text</tt> does quite ''the same'' things, except that it tries to adapt intelligently (and no doubt somewhat expensively) to the place in the formula in which the text appears. Indeed, I've checked the definition, and apart from size fiddling, <tt>\text</tt> ultimately reduces to an <tt>\mbox</tt> (or more precisely, both reduce to an <tt>\hbox</tt> primitive), Really, if the purpose is to put some side condition in text to a displayed equation, where logically one would want to match the text surrounding the display, I don't see any reason why using <tt>\mbox</tt> should be considered inferior to using <tt>\text</tt>.
			Just one more related point, I've found that in WP both <tt>\mbox</tt> and <tt>\text</tt> have the annoying limitation of not allowing to switch back to math mode as one would do in LaTeX (the limitation is really in the lexing rules for math formulas). So the following fails:
			<pre>
			:<math>\binom nk=0\qquad \text{if $k<0$ or $k>n$}</math>
			</pre>
			and one has to revert to the ugly
			<pre>
			:<math>\binom nk=0\qquad \text{if }k<0\text{ or }k>n.</math>
			</pre>
			Note that in StackExchange one ''can'' use the former in displayed math (but not in text math; although it is hardly useful in text math, I find this curious).
			] (]) 13:02, 11 December 2011 (UTC)
			== question about line break ==
			Hi,
			is there a way to prohibit a line break between ''ℓ'' and its indices in the formula ''ℓ''{{su|p=''n''|b=''p''}}? MOS does not even mention nbsp, even less so the (deprecated) nobr et cet.
			Thanks,
			] (]) 03:54, 17 December 2011 (UTC)
			: I'm not sure, but the "nowrap" template comes to mind. ] (]) 19:23, 17 December 2011 (UTC)
			::thanks! ] (]) 20:14, 17 December 2011 (UTC)
			== Typesetting summation indices ==
			Hi. I was referred to you by ]. I am hoping you could help me typeset a summation with a multiline subscript index. Usually when using LaTeX I use the \substack command but unfortunately Misplaced Pages can't parse it. I am trying to create a sum where the index is n = 0 with the additional condition n odd. Also, when using \mbox for the "odd" part the text is rendered larger than the rest of the condition. Your advice would be appreciated. Thank you. ] (]) 05:55, 23 December 2011 (UTC)
			: I think I've used "smallmatrix" for that: \sum_{\begin{smallmatrix} i \ge 0 \\ i\ne 6 \end{smallmatrix}}
			:: <math> \sum_{\begin{smallmatrix} i \ge 0 \\ i\ne 6 \end{smallmatrix}} </math>
			: ] (]) 21:58, 23 December 2011 (UTC)
			:: Thank you. ] (]) 02:27, 24 December 2011 (UTC)
			== Grain Boundary Strengthening - Subgrain Strengthening ==
			Dear Michael,
			I made an edit on the stated article ] in the subsection "Subgrain Strengthening". I saw that you had written that the Hall-petch relation breaks down at subgrain sizes of approximately 0.1nm. This seemed rather unphysical (as it is about the size of an atom...) so I read the article you cited. It stated that the Hall-Petch relation broke down at around 8µm and the λ^{-1} broke down at 0.1µm, so I assumed that you had made a typo and you really meant 0.1µm, as this was the length scale discussed in the article. Is this true, do you agree with this change?
			I look forward to hearing your opinion.
			Yours sincerely,
			] (]) 13:27, 24 December 2011 (UTC)
			: I did some copy-editing on that article, but I don't recall that I changed anything about that. ] (]) 21:25, 24 December 2011 (UTC)
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			== Polygon/polytope density - merge articles and rename ==
			Proposed at ] &mdash; Cheers, ] (]) 12:33, 30 December 2011 (UTC)
			:Many thanks! &mdash; Cheers, ] (]) 15:46, 7 January 2012 (UTC)
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			== Nevanlinna theory ==
			Hi,
			Pym1507 has recently expanded the article ] (to my modest opinion, it is now very nice and readable). Could you please have a look at the formatting and other conventions?
			Thank you very much,
			] (]) 23:53, 7 January 2012 (UTC)
			== Descriptive statistic(s) ==
			It is ''also'' a count noun with a singular form: the ] is one ] that can be used in summarizing a ], the ] is another such statistic; these two statistics are each generally much more useful for descriptive purposes than the ]. Note that the term ''descriptive statistic'' is actually used in this sense in the article. But I agree that the mass-noun sense of ''descriptive statistics'' is more common than this count-noun sense, and is the meaning covered by the referenced textbook. &nbsp;--] 10:11, 14 January 2012 (UTC)
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			It's OK to remove this message. Also, to stop receiving these messages, follow these ]. Thanks, ] (]) 11:00, 14 January 2012 (UTC)
			== Linking to ] ==
			*{{userlinks|Fnfal}}
			Hello Michael. I have the impression you might be a participant in ]. See the , who is adding links to Scholarpedia to a lot of fluid mechanics articles. It seems there might be some way WP could cooperate with those folks, but Fnfal's activity risks being seen as conventional spam. Generally, Fnfal adds links to work by Gregory Falkovich. Do you have any suggestions? Thanks, ] (]) 17:35, 19 January 2012 (UTC)
			: I clicked on several of his recent edits and didn't see any in which he added links to Scholarpedia. If they're in the external links section and link to relevant articles, how do they risk being seen as spam? ] (]) 18:46, 19 January 2012 (UTC)
			::Sorry, I should have written down the diffs that I found. Since I can't reproduce my original finding, I started over by scanning through all the 485 links from Misplaced Pages to Scholarpedia that still exist and most of them seem fine. It is always embarrassing when the Scholarpedia article is better than ours! ] (]) 03:39, 20 January 2012 (UTC)
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			: This is one of those (rare?) instances where it's a good idea to link to a disambiguation page from something that's not just a redirect. ] (]) 03:05, 22 January 2012 (UTC)
			==Creating article==
			Can you help me with my article so that it appears better on Ramanujan's master theorem.
			http://en.wikipedia.org/Ramanujan%27s_Master_Theorem
			(] (]) 04:05, 23 January 2012 (UTC))
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			== Newbie thanks you for bringing to her attention that we use sentence case in headings ==
			Thanks for cleaning up the headings on the box counting page. I'm new...I'll get it right eventually. ] (]) 18:17, 2 February 2012 (UTC)
			== tb ==
			{{talkback|User_talk:PamD#speedy_deletion}}
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			== To Michael Hardy about the definition of product ==
			Dear Michael Hardy,
			With regards, I found this definition for product in wikipedia:
			"In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied."
			I have no problem in 3 x 4 = 12, 12 is product but why you mentioned 3 x 4 is also product. I couldn't find the later one in any other reference.
			Thank you,
			Sohrab. <span style="font-size: smaller;" class="autosigned">— Preceding ] comment added by ] (]) 05:35, 29 February 2012 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
			:: In other words, for example, "1&nbsp;+&nbsp;2&nbsp;+&nbsp;3" is a '''sum''' and "1&nbsp;&times;&nbsp;2&nbsp;&times;&nbsp;3" is a '''product'''. I don't think I wrote that sentence, but it seems like a commonplace usage. ] (]) 16:40, 29 February 2012 (UTC)
			== About the definition of the Product ==
			Dear Michael,
			Thank you for your reply.
			I tried to find the definition of product. I followed the link
			http://en.wikipedia.org/Product_(mathematics)
			and in both references in the bottom of the Misplaced Pages page (Wolfram Mathworld and PlanetMath) I found the definition of product :
			1. In Wolfram: The term "product" refers to the result of one or more multiplications. For example, the mathematical statement a×b=c would be read "a times b equals c," where c is the product.
			2. In PlanetMath: The word product in mathematics generally means the result of some type of multiplication operation.
			Please take a look:
			http://mathworld.wolfram.com/Product.html
			http://planetmath.org/?op=getobj&from=objects&id=7710
			Also to these links:
			http://www.mathwords.com/p/product.htm
			http://ahdictionary.com/word/search.html?q=product
			http://dictionary.reference.com/browse/product
			http://www.thefreedictionary.com/mathematical+product
			http://www.thefreedictionary.com/product
			http://www.vocabulary.com/definition/mathematical%20product
			http://www.audioenglish.net/dictionary/mathematical_product.htm
			In all references they mentioned the product is just the result not multiplied factors.
			I am interested on this, please send me any other references if you have about the definition of product which declared product is "an expression that identifies factors to be multiplied" also.
			Thank you again,
			Sohrab. <span style="font-size: smaller;" class="autosigned">— Preceding ] comment added by ] (]) 12:34, 1 March 2012 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
			: I think in a somewhat formal context that is how it is defined. Mathematicians speaking informally may say "I would like to prove that the following products are both equal to&nbsp;5:
			:: <math> \prod_{i\in A} x_i, </math>
			:: <math> \prod_{j=1}^{10^{90}} y_j. </math>
			: ] (]) 16:26, 1 March 2012 (UTC)
			:: I've taken this discussion to ]. ] (]) 16:26, 1 March 2012 (UTC)
			== Numbers to numerals page moves ==
			Seeing that you recently performed a number of moves of the type ] → ], you might be interested in this discussion: ] (see also ] and ]). Regards, ] (]) 14:09, 4 March 2012 (UTC)
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			==Thank you==
			For your help with Taylor's law. Im not very good with the mathematical mark up system.] (]) 14:27, 10 March 2012 (UTC)
			== ] ==
			Hello Michael Hardy, I noticed that ] is now a redirect loop, as the page now redirects to itself. According to , it looks like you tried to perform a page move on March 4th, but it appears the page history wasn't restored. If you have time, could you please take a look. Thank you, ] ] 01:54, 11 March 2012 (UTC)
			: Hello. I don't know how that happened, but now I've restored the edit history. ] (]) 04:19, 11 March 2012 (UTC)
			::Thanks for looking into this, I appreciate it. Best, ] ] 16:04, 11 March 2012 (UTC)
			== Thank you Michael ==
			for all the things you do to make Misplaced Pages a better place. Best, ] (]) 02:51, 27 March 2012 (UTC)
			: Thank you Btyner; it's nice to know people notice stuff I do here. ] (]) 22:55, 29 March 2012 (UTC)
			:: I concur with Btyner, and I am sure I am not the only one here. ] (]) 02:26, 30 March 2012 (UTC)
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			] has drastically forced on the article ] an solitary, unparalleled and uncompromising destruction of an article in the name of summarizing. Under the disguise of summarizing she exchanges material for other material. Yes, reducing was needed and it has been done. The galleries and images in the ] article have already been over 50% reduced in the spirit of cooperation. Still the reduction continues. Please help in the discussion. The changes have been major and constructive discussion would bee needed on the ] talk page. Thank you. ] (]) 12:26, 21 April 2012 (UTC)
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			== A priori ==
			Please be ]. I do lots of disam work and it's not always on things I'm on "expert" on. So mistakes will be made. --] <sup>]</sup> 05:23, 24 April 2012 (UTC)
			:: The particular edit I commented on looked at the time like a case of hasty inattentive editing, and it still seems a bit odd that that might not have been what it was. The meaning of "''a&nbsp;priori''" that was used there was merely the conventional one rather than one of the particular uses in specialized fields. ] (]) 02:46, 26 April 2012 (UTC)
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			== Orphan status for Fréchet inequalities ==
			Thanks for your attention to this article. I think it did have one link to it originally (from "Probability bounds analysis"), but I've added several others in addition to the one you added. There are now 7 distinct articles that link to it, and it also appears in 4 categories. As I read the policy on orphans, this would seem to be sufficient to warrant removing the {{tl|orphan}} tag. I shall try to do this now, but confess in advance that I might be clumsy. ] (]) 08:34, 7 May 2012 (UTC)
			== Talkback ==
			{{Talkback|Toshio Yamaguchi|table of congruences}}
			-- ] (]−]) 09:25, 19 May 2012 (UTC)
			== tensoritis ==
			I just saw a note you sent to a new contributor about the possible meanings of "tensor." Are you familiar with Alfred Bester's (the real one, I mean):<br>
			Tenser said the tensor<br>
			Tenser said the tensor<br>
			Tension, tension, apprehension, <br>
			and dissension<br>
			have begun.<br>
			(Slightly modified from ''The Demolished Man.'') ] (]) 01:00, 21 May 2012 (UTC)
			==Talkback==
			{{talkback|TheGeneralUser|ts=17:23, 3 June 2012 (UTC)}}
			] (]) 17:23, 3 June 2012 (UTC)
			== Tychonoff cube==
			Dear Michael Hardy, in your last edition of the ] you changed \Pi by \Prod, but the first is not more suitable for reading? <small><span class="autosigned">— Preceding ] comment added by ] (] • ]) </span></small><!-- Template:Unsigned -->
			: It says it's a product (which I take to mean a ], or perhaps I should say a product of topological spaces with the product topology), so \prod seems like the right thing. Notice this difference:
			:: <math> \prod_{i\in S} \, </math>
			:: <math> \Pi_{i\in S} \, </math>
			: The first uses \prod and the second uses \Pi. When this is in a "displayed" setting rather than in an "inline" setting, the subscript appears directly below the \prod operator. That is standard usage. ] (]) 21:58, 17 June 2012 (UTC)
			== zinbiel = co-leibniz ==
			It's just written backwards, not named after anyone ;) --] (]) 21:57, 18 June 2012 (UTC)
			== Math typing ==
			Hello Michael. I want to ask you about the preferred way of writing math formulas. I usually use the LaTeX notation <nowiki><math>...</math></nowiki> but I see in many good articles a very complicated notation like in ].. Is there a recommandation which style to use? I'm not patient enough to go over all the manuals, therefore I'm asking :-) Thanks, ] (]) 00:35, 11 July 2012 (UTC)
			: Very often non-] notation is used when math notation is in an "inline" as opposed to "displayed" setting, because of problems with mismatch between sizes and alignments of the material in TeX and the surrounding text. In a "displayed" setting, TeX is usually better. More on this is at ]. Some Wikimedia software developers have been working on using ] as the default way of displaying math notation within articles. If they ever get that up and running, the problems with mismatches in size and alignment might be solved, so that then there might be little reason for using non-TeX notation. But that hasn't happened yet. ] (]) 00:38, 12 July 2012 (UTC)
			: Some pointers:
			:: Right: 5 + 3
			:: Wrong: 5+3
			:: Right: 5 &minus; 3
			:: Wrong: 5&minus;3
			:: Wrong: 5 - 3
			:: Wrong: 5-3
			: i.e., a minus sign is longer than a mere hyphen; spaces precede and follow plus or minus signs and the like when they are binary operators. I often make these spaces non-breakable. When they're unary, then no space appears, thus:
			:: +5
			:: &minus;5
			: Variables are italicized; parentheses, digits, etc. are not:
			:: Right: ''a'' + 5
			:: Wrong: ''a + 5''
			: (The point here is to be consistent with the style used by TeX.)
			: "Displayed" math notation is indented, thus:
			: Right:
			:: 2 + 3 = 5
			: Wrong:
			: 2 + 3 = 5
			: When a paragraph is ''already'' indented, as by a typographical bullet, then one indents twice. ] (]) 00:51, 12 July 2012 (UTC)
			==Disambiguation link notification for July 13==
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			== Any vs every ==
			You had a good point but was it really necessary to post it in ''three'' places, including a public notice-board? You might at least have said something like "thanks for contributing a new article to Misplaced Pages" somewhere in there. In any case the answer to your question is that, as you correctly assumed, every such system is required to have a non-zero solution for the field to be T<sub>''i''</sub>. ] (]) 23:11, 15 July 2012 (UTC)
			: I do appreciate the contribution. It may be _useful_, even if not _necessary_ to post a comment about the word "any", because this is done from time to time by many people. ] (]) 23:26, 15 July 2012 (UTC)
			==Talkback==
			{{talkback|Gold Standard|notability?|ts=22:43, 24 July 2012 (UTC)}}
			<span style="border:2px solid #808080;background:#C68E17;">]''']'''</span> 22:43, 24 July 2012 (UTC)
			== RM at ] ==
			Michael, back in 2010 you moved Bollinger bands to Bollinger band, and then to Bollinger Bands. I've proposed moving it back where it started, and it would be good to have your perspective. ] (]) 04:03, 28 July 2012 (UTC)
			== Second-Order Interpolation ==
			I agree with the move from 2nd Order Interpolation to Second-Order Interpolation. But I noticed you also added that it could be called biquadratic interpolation, as a 2nd degree version of bicubic interpolation? Second-Order interpolation is a different method altogether. Notice that in bicubic interpolation you use information about the derivatives which is not the case in second-order interpolation. So in summary I don't believe this method had been discovered before, so let's discuss what should be done with the page.
			] (]) 22:41, 2 August 2012 (UTC)
			:: It appears to be ] who added the phrase "biquadratic interpolation". ] (]) 22:55, 2 August 2012 (UTC)
			== Move of ] to ] ==
			You edited and then moved ] to ] at 02:19, 10 August 2012,. Before you made the move to ] (at 02:18, 10 August 2012‎) When you checked the results of you move did you not wonder where the documentation and the sandboxes had gone?
			It's a gotcher trap into which I have fallen in the past. As you did not move all the sub-pages (its requires you to tick a box on parent move page) those sub-pages were not moved and because the template {{tl|Documentation}} -- which is embedded in ] -- looks from sub-pages below the named template it did not find them.
			Also because you changed the name of the categories, but did no move their contents, the template currently places article names into red categories within the articles and not into ] that the contents of the categories create (see ] and its sub categories.
			I have not "fixed" the move simply to allow you to see what has happened. If you wish I will fix the problem by reverting the move and making it again with the appropriate tick; and a cut and past move of the content of the categories (with the deletion of the old ones). Either way please let me know whether you wish me to fix the move and the category contents or if you will do so. -- ] (]) 11:29, 13 August 2012 (UTC)
			:Pondering on it further I am not as all sure that the move is wise. The template name does not appear in article space and in practice it is inconvenient for an editor without the an ndash key on his or her keyboard to enter the character, so while I have no problems with the content of that is displayed on the article page having an ndash in it, I do not see why the {{tl|Cite Schaff-Herzog}} its sub-pages or the hidden categories should as they are not in article space and are not covered by the ] and its inclusion is inconvenient for the editor. -- ] (]) 12:16, 13 August 2012 (UTC)
			:: I missed the problem of subpages. I could see having a hyphen in the name of the template, but certainly things that appear in articles should have an en-dash. If the name of the template has a hyphen, then the name with the en-dash should redirect to it. ] (]) 17:40, 13 August 2012 (UTC)
			:::OK I have reverted the move (that leaves an en-dash redirect). I have altered the document page to show that the categories use a hyphen rather than an en-dash and I am going to change that in the template I have left all that displays in article space as en-dash. -- ] (]) 21:50, 13 August 2012 (UTC)
			== Re:Hardy–Littlewood inequality ==
			Thank you for your help. ] (]) 23:01, 15 August 2012 (UTC)
			==Disambiguation link notification for August 19==
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			== ] of ] ==
			]
			The article ] has been ]&#32; because of the following concern:
			:'''No indication that this group is ]. Independent sources of coverage are sorely lacking.'''
			While all contributions to Misplaced Pages are appreciated, content or articles may be ].
			You may prevent the proposed deletion by removing the {{Tlc|proposed deletion/dated}} notice, but please explain why in your ] or on ].
			Please consider improving the article to address the issues raised. Removing {{Tlc|proposed deletion/dated}} will stop the ], but other ]es exist. In particular, the ] process can result in deletion without discussion, and ] allows discussion to reach ] for deletion.<!-- Template:Proposed deletion notify --> ] (]) 15:14, 20 August 2012 (UTC)
			== Help with notability concerns? ==
			Hi! I'm seeking some help since I'm really very unfamiliar with the notability for mathematics themed articles. There's an article (]) that has some notability concerns and I thought it'd be best to create an article for the mathematician and redirect the textbook to the author's page. I've created a very quick article for Tanton, but I'm not very sure as to how notable the award is. If it's very notable then it could keep the article on that basis alone, but again- I'm not sure of how big the award really is. (He won two Trevor Evans Awards for articles he wrote for the MAA's Math Horizons journal.) Can you take a look at what I've done so far and see if Tanton would pass ]? (]) He seems like he would, but I don't want to add this to the mainspace, only for the article to get deleted via AfD or a speedy.] (]) 09:33, 21 August 2012 (UTC)
			== Nomination of ] for deletion ==
			<div class="floatleft" style="margin-bottom:0">]</div>A discussion is taking place as to whether the article ''']''' is suitable for inclusion in Misplaced Pages according to ] or whether it should be ].
			The article will be discussed at ] until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on high-quality evidence and our policies and guidelines.
			Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article.<!-- Template:afd-notice --> ] (]) 16:44, 21 August 2012 (UTC)
			== user Daviddaved ==
			{{user|Daviddaved}} on a mathematical rampage yet again. - Altenmann ] 04:35, 28 August 2012 (UTC)
			I was wondering if maybe you would like to put your admin hat on and talk to him. You are in the unique position of understanding both what he is writing about ''and'' Misplaced Pages policies. Most of the rest of us don't have a clue what he is writing about, if it might be original research, or if it even belongs on Misplaced Pages at all. If he is trying to write a book on-wiki that is obviously inapropriate, but if he is just not getting that Misplaced Pages is not written for mathmaticians but for a general audience it may be possible to turn this situation around and land a productive user. You may not be the only one who can parse it out but you seem way ahead of the curve of everyone else currently involved. ] (]) 04:26, 30 August 2012 (UTC)
			== Imperative ==
			A couple of your recent postings to ] ended with the imperative sentence ''Work on it''. Since we are all volunteers, and no member of the community is in a position to issue orders to the others, this can grate somewhat. I suggest that phrases like "Please would someone work on it", "This obviously needs a lot of work" or "I don't have the time/expertise/inclination to work on this myself but perhaps someone else would like to" would be more effective. ] (]) 06:13, 31 August 2012 (UTC)
			: That sentence was addressed to whoever the Muse inspired. Others should disregard it. ] (]) 13:25, 31 August 2012 (UTC)
			== ] ==
			The split of this article into ] and ] seems incorrect as they are not two different topics, being aspects of the work of ] who worked on both total positivity and splines. See the '''', for example: "''I.J. Schoenberg developed the theory of total positivity in connection with the variation diminishing properties of matrices, giving rise to spline theory.''". Please revert. ] (]) 21:13, 31 August 2012 (UTC)
			: OK, I've merged the two and restored the edit history. ] (]) 22:00, 31 August 2012 (UTC)
			::* Thanks. I'll post any further comments about the development of the topic at its talk page. ] (]) 10:20, 1 September 2012 (UTC)
			== Thank you for the unblock ==
			Dear Michael,
			Thank you for unblocking me and allowing me to edit Misplaced Pages. As I wrote in my unblock request, I was confused by Misplaced Pages visibility options, and by mistake published some unfinished material. Also, I am working on a book, and stored some of related materials in what, I thought, was my user space User:Daviddaved. I have moved these materials to my Wikibooks space, which I understand now is more appropriate. PS. I remember some of our discussions at MIT years ago :) Daviddaved 23:10, 31 August 2012 (UTC) <small><span class="autosigned">— Preceding ] comment added by ] (] • ]) </span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
			== A kitten for you! ==
			]
			Thank you for unblock !
			Daviddaved 00:15, 1 September 2012 (UTC)
			<br style="clear: both"/>
			== Please don't fix puctuation "errors" in reference names ==
			Your changes to ] broken some named references by replacing some but not all of the hyphens in the names. A name in a named reference, such as <nowiki><ref name="NYtimes" /></nowiki> is just a series of characters that allows the parser to identify the reference to display. It's not part of the reference itself. See ]. There is no correct or incorrect style, just whatever the editor has chosen. Please don't change them, or at least change all of them. You will need to put quotes around the name if it doesn't have them and you have changed a hyphen to a dash.
			I appreciate your cleaning up articles' style. I've usually been running into this reference name problem when someone is editing a section and suddenly thinks "NYtimes" in a reference name should be "NY Times". ] (]) 18:40, 1 September 2012 (UTC)
			==Disambiguation link notification for September 3==
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			== On the genus of a graph ==
			You have previously commented on the redirect {{noredirect|on the genus of a graph}}. There have been significant changes, including the target, since the nomination was made. You may wish to revisit the discussion and confirm whether or not your previous views remain unchanged. Having been relisted the discussion is now at ]. ] (]) 14:36, 7 September 2012 (UTC)
			== Invitation to comment at ] RfC ==
			You are invited to comment on the following probability-related RfC:
			''']'''
			--] (]) 17:12, 8 September 2012 (UTC)
			== Pearson distribution page ==
			Greetings from a fellow MIT alum!
			During my edits of the beta distribution page http://en.wikipedia.org/Beta_distribution I have had numerous occasions to refer to Pearson's distribution. Unfortunately, whenever I try to access this Misplaced Pages page: http://en.wikipedia.org/Pearson_distribution on my computer screen I get a broken page with numerous errors in red bold font reading "Failed to parse (Cannot write to or create math output directory):" on all places where equations are supposed to be. The last edit of this page is 20:17, 15 May 2012‎ Tevyeguy, several months ago. I recall accessing this page a couple of months ago and it was fine, so it looks like the problem might not be with the last edit. Initially I thought that this might be some temporary problem with Misplaced Pages's servers, however after several days of noticing the same problem with this Pearson distribution page I wanted to see whether you could help by taking a look at this page and see what is the problem.
			Thanks!] (]) 16:39, 11 September 2012 (UTC)
			: Occasionally I see this, and it goes away when I reload the page. I just looked at that particular page and the TeX got rendered. I'm not sure I'm the one who could best diagnose the situation. But I'll see if I can find out anything.
			: ("MIT alum" is not strictly correct with me: I was a "Lecturer in Applied Mathematics" at MIT for three years, fall 1999 through summer 2002.) ] (]) 03:24, 12 September 2012 (UTC)
			:: Thanks! I'll appreciate anything you can suggest, as http://en.wikipedia.org/Pearson_distribution is the only Misplaced Pages page that (still) shows this problem for me. Reloading the page made no difference for me either. -- I hope you enjoyed your time at the 'tute. ] (]) 12:00, 12 September 2012 (UTC)
			:::Update: I successfully connected to http://en.wikipedia.org/Pearson_distribution both with Microsoft Internet Explorer and with Mozilla Firefox! The problem I have been encountering with http://en.wikipedia.org/Pearson_distribution is only present when using Google Chrome ] (]) 21:03, 14 September 2012 (UTC)
			== Soliciting Feedback on Educational Assignment ==
			Hello,
			My name is Javier Campanini. I'm a student at Cornell University working on a class project for an Online Communities course. Our task is to contribute an article to Misplaced Pages. There are a total of 3 people on the team and so far, we've started to gather the information and create sections for the article.
			The subject of the article is Incentive-Centered Design. The current page (a work in progress) can be found here: http://en.wikipedia.org/User_talk:Jmc242/incentive-centered_design
			We would really appreciate any feedback or comments you could provide on our progress so far.
			Thank you,
			Javier Campanini
			] (]) 22:46, 27 September 2012 (UTC)
			==Disambiguation link notification for September 28==
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			==Misplaced Pages Loves Libraries event==
			]
			In the area? You are invited to ''']''' in Minneapolis.
			Hennepin County Library's Special Collections is hosting a Minneapolis history editathon on November 3. Help increase the depth of information on Minneapolis history topics by using materials in the Minneapolis Collection. Find your own topics to edit or work from a list developed by Special Collections librarians.
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			For more info and to sign up (not required), see ''']'''. &mdash;] 22:58, 5 October 2012 (UTC)
			== ] ==
			Saw your comment on ] from a long time back. I was surprised that the article wasn't under the Wikiproject on statistics. ] (]) 09:08, 7 October 2012 (UTC)
			==Disambiguation link notification for October 7==
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			== Beta distribution article -Length ==
			Hi Michael,
			I would appreciate your feedback regarding the recent banner "This article may be too long to read and navigate comfortably. ...(October 2012)" recently placed at the top of the beta distribution article http://en.wikipedia.org/Beta_distribution and the discussion on the talk page http://en.wikipedia.org/Talk:Beta_distribution#Length_of_article as to whether there is a limitation on the lengths of articles in Misplaced Pages and/or whether it would be better to "prune" the article and create new Misplaced Pages articles as suggested by ] in the talk page ] (]) 14:44, 10 October 2012 (UTC)
			== ] ==
			Dear Michael Hardy, I am searching for a book which contains ] free from application of ] with a historical note of the works of ] and ] about euclid's parrallel postulate understandable to a high school student.
			*please name me one and thank in advance.] (]) 17:29, 11 October 2012 (UTC)
			:: I'm not the best person to ask about this. I might consider one of the books by ]. But I think you should try posting this question at ] or at http://math.stackexchange.com, or (better still) both. ] (]) 18:59, 11 October 2012 (UTC)
			==Disambiguation link notification for October 14==
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			==Talkback==
			{{talkback|Misplaced Pages talk:Database reports|WikiProjects ranked by liveliness|ts=15:47, 26 October 2012 (UTC)}}
			] (]) 15:47, 26 October 2012 (UTC)
			==Disambiguation link notification for November 4==
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			== File names and puctuation ==
			Just a note to say that the punctuation fixes on broke the image link. Cheers. -- ] (] - ]) 03:13, 14 November 2012 (UTC)
			== Distance-weighted estimator ==
			Dear Michael! Now I'm informed about discussion. When I published article I did not be well informed about Misplaced Pages policy (I'm sorry it's my inadvertence). As a researcher I'm interested for using DWE. To date we have sum empirical studies (papers) in which we used DWE, but may be still not enough for publishing in Misplaced Pages (there are another mathematical net resources to do it). So I ask for deleting article (may be without further discussion). Thanks for your support. Best regards, Yury S. Dodonov, PhD. <small><span class="autosigned">— Preceding ] comment added by ] (] • ]) 02:32, 15 November 2012 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
			==Disambiguation link notification for November 16==
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			==Disambiguation link notification for November 23==
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			== ] ==
			Hi Mike, could you comment ? This might not be your main expertise, but your are well aware of way to introduce subjects like this on Misplaced Pages. -- ] (]) 12:03, 30 November 2012 (UTC)
			== Language check==
			Hi! Can you please take some time to read these short articles and fix their grammatical errors? I'm not a native English speaker so I know there will be some (hopefully minor) problems in them.
			:* ]
			:* ]
			:* ]
			:* ]
			:* ]
			:* ]
			:* ]
			:* ]
			:* ]
			Thanks in advance. -- ] (]) 18:08, 18 December 2012 (UTC)
			== Invitation to join the Ten Year Society ==
			] Dear Michael,
			I'd like to extend a cordial invitation to you to join the ''']''', an informal group for editors who've been participating in the Misplaced Pages project for ten years or more.
			Best regards, — ] ] 18:20, 22 December 2012 (UTC).
			== Ignorant masses ==
			In you appear to describe the English as "ignorant masses". Please don't do that sort of thing. ] (]) 07:34, 8 January 2013 (UTC)
			:: I did nothing of the sort. In every country there are ignorant masses. I wrote that in that particular country, the ignorant masses think "gotten" is an Americanism rather than a form that came from England. ] (]) 00:14, 9 January 2013 (UTC)
			:::I wrote ''you appear to describe the English as "ignorant masses"''. It is a reasonably possible reading of the phrase ''the ignorant masses there seem to think it's an Americanism'', and so that appearance exists, whether or not you meant to give it. Your comments have zero relevance to the question of how to use the words "proved" or "proven" and serve only to annoy other editors such as myself. As I say, please don't do that sort of thing. ] (]) 07:28, 9 January 2013 (UTC)
			==Disambiguation link notification for January 10==
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			It's OK to remove this message. Also, to stop receiving these messages, follow these ]. Thanks, ] (]) 11:43, 10 January 2013 (UTC)
			== A kitten for you! ==
			]
			Thank you for editing ], I will read up the article you provided, thank you! :D
			''''']]''''' 21:13, 10 January 2013 (UTC)
			<br style="clear: both;"/>
			== Reference ==
			Hi Michael,
			I was trying to add two references to the article ], and I realized it has more than one authors, would you help me to reformat the two added references properly? Thank you! --''''']]''''' 10:29, 11 January 2013 (UTC)
			== A cup of tea for you! ==
			{| style="background-color: #fdffe7; border: 1px solid #fceb92;"
			|style="vertical-align: middle; padding: 5px;" | ]
			|style="vertical-align: middle; padding: 3px;" | Thank you for your work on ]! :D ''''']]''''' 10:24, 12 January 2013 (UTC)
			|}
			Thank you. ] (]) 00:25, 13 January 2013 (UTC)
			== Law of Sines and tetrahedra ==
			I added a comment to ] suggesting that the section on tetrahedra may be inappropriate. It appears that you are the original author of that section, so I would very much appreciate your thoughts on the matter. Thank you ] (]) 21:25, 17 January 2013 (UTC)
			== Copyvio ==
			Michael Hardy, you need to have a closer look at the history of ]. I deleted the material and replaced it by a redirect because the contents were an almost verbatim copy of some sections in by Eric Hartmann (see also ]). Now you have replaced the contents of ] by this same copyrighted material! I agree it's better written, but you know the rules. ] (]) 05:18, 20 January 2013 (UTC)
			== Computer-based math ==
			I had started a discussion about the title of this article at ]: you made the move before there was time for any consensus to emerge there. It seems to be the same of a specific organisation, , and so I rather think that the title of an article about that organisation should be ''Computer-Based Math'', which is how they consistently style themselves on their website. If, on the other hand, it is the general name of a kind of educational philosophy, then I think it should be ''Computer-based mathematics'' which would be the unabbreviated form of the name. However, the right place for this discussion would be ]. ] (]) 08:03, 20 January 2013 (UTC)
			==Möbius plane==
			Hi !
			Imho the redirect was good enough, but of fully course merging it works as well. However during the merging process you put the problematic version (format errors, possible copyright violations) as the current version and the article's talk page with discussed all the issues got lost. Could you replace the current (empty) talk page by the old one please?
			regards,
			Kmhkmh
			P.S.: I just saw that this talk page actually still exist under the redirect, so nvm then.--] (]) 14:14, 20 January 2013 (UTC)
			== A late notification about cross-references ==
			I should have left a notification here right after (or even before) posting at ], seeing you at the beginning of the article history of that proposed guideline, so sorry for the delay ] I'm happy to see that you found it anyway. Thanks for creating this! I've found it useful in several cases. ] (]) 09:29, 8 February 2013 (UTC)
			== Queueing theory articles ==
			Thanks for your recent efforts tidying the dashes in the queueing theory articles. ] (]) 17:44, 21 February 2013 (UTC)
			==]==
			You have recently edited this article and so may be interested in ]. ] (]) 19:47, 23 February 2013 (UTC)
			==]==
			I appreciate, if you could verify my edit on Good-Turing estimates. http://en.wikipedia.org/search/?title=Good%E2%80%93Turing_frequency_estimation&diff=prev&oldid=539126302
			The previous version was somewhat ambiguous. Even though I am rather confident in my edit, I still prefer another pair of eyes to look at it. Thanks a lot! <small><span class="autosigned">— Preceding ] comment added by ] (] • ]) 19:14, 24 February 2013 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
			==Disambiguation link notification for March 9==
			Hi. Thank you for your recent edits. Misplaced Pages appreciates your help. We noticed though that when you edited ], you added a link pointing to the disambiguation page ] (]&nbsp;|&nbsp;]). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. <small>Read the ]{{*}} Join us at the ].</small>
			It's OK to remove this message. Also, to stop receiving these messages, follow these ]. Thanks, ] (]) 12:33, 9 March 2013 (UTC)
			== Examples of convolution ==
			I saw the wiki page, but I couldn't find any examples using actual numbers evaluating the formula. Could you give some examples of convolution, please? ] (]) 22:14, 9 March 2013 (UTC)
			====Definition====
			The convolution of ''f'' and ''g'' is written ''f''∗''g'', using an ] or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of ]:
			:{|
			|<math>(f * g )(t)\ \ \,</math> &nbsp;
			|<math>\stackrel{\mathrm{def}}{=}\ \int_{-\infty}^\infty f(\tau)\, g(t - \tau)\, d\tau</math>
			|-
			|
			|<math>= \int_{-\infty}^\infty f(t-\tau)\, g(\tau)\, d\tau.</math> &nbsp; &nbsp; &nbsp; (])
			|}
			====Domain of definition====
			The convolution of two complex-valued functions on '''R'''<sup>''d''</sup>
			:<math>(f*g)(x) = \int_{\mathbf{R}^d}f(y)g(x-y)\,dy</math>
			is well-defined only if ''f'' and ''g'' decay sufficiently rapidly at infinity in order for the integral to exist. Conditions for the existence of the convolution may be tricky, since a blow-up in ''g'' at infinity can be easily offset by sufficiently rapid decay in ''f''. The question of existence thus may involve different conditions on ''f'' and ''g''.
			====Circular discrete convolution====
			When a function ''g<sub>N</sub>'' is periodic, with period ''N'', then for functions, ''f'', such that ''f''∗''g<sub>N</sub>'' exists, the convolution is also periodic and identical to:
			:<math>(f * g_N) \equiv \sum_{m=0}^{N-1} \left(\sum_{k=-\infty}^\infty {f} \right) g_N.\,</math>
			==== Circular convolution ====
			{{Main|Circular convolution}}
			When a function ''g''<sub>''T''</sub> is periodic, with period ''T'', then for functions, ''f'', such that ''f''∗''g''<sub>''T''</sub> exists, the convolution is also periodic and identical to:
			:<math>(f * g_T)(t) \equiv \int_{t_0}^{t_0+T} \left g_T(t - \tau)\, d\tau,</math>
			where ''t''<sub>o</sub> is an arbitrary choice. The summation is called a ] of the function&nbsp;''f''.
			====Discrete convolution====
			For complex-valued functions ''f'', ''g'' defined on the set '''Z''' of integers, the '''discrete convolution''' of ''f'' and ''g'' is given by:
			:<math>(f * g)\ \stackrel{\mathrm{def}}{=}\ \sum_{m=-\infty}^\infty f\, g</math>
			::::<math>= \sum_{m=-\infty}^\infty f\, g.</math> &nbsp; &nbsp; &nbsp; (])
			When multiplying two ]s, the coefficients of the product are given by the convolution of the original coefficient ]s, extended with zeros where necessary to avoid undefined terms; this is known as the ] of the coefficients of the two polynomials.
			== Adjacent/adjacency ==
			Looks like we were both doing incompatible things at the same time to adjacent/adjacency and the edit history got a little confused. I think I have left it in a consistent state now (at the adjacent version of the name). If you feel adjacency is the better name, feel free to move it back there, but please move the new dabbed version rather than the old one if you do. —] (]) 03:48, 10 March 2013 (UTC)
			== Image source ==
			Hi Michael. If you created ], please indicate as much in the {{tlxc|Information}} template and fix the licensing accordingly. Thanks. ] (]<small> • </small>]) 15:20, 24 March 2013 (UTC)
			== AFD FYI ==
			Hi, it appears you <del>created</del><ins>might be interested in</ins> this page which I just nominated for AFD; ] (]) 17:45, 14 April 2013 (UTC)
			:PS Sorry I got confused. You did not create the AFD'd article. Looks like there might have been a redir involved. Anyway, your comment in the AFD would be welcome either way. ] (]) 17:45, 14 April 2013 (UTC)
			== Nomination of ] for deletion ==
			<div class="floatleft" style="margin-bottom:0">]</div>A discussion is taking place as to whether the article ''']''' is suitable for inclusion in Misplaced Pages according to ] or whether it should be ].
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			] (]) 17:27, 14 April 2013 (UTC)
			==] marked with ]==
			]
			An editor has listed ] in ]. Since you had some involvement with the article, you might want to participate in ] (if you have not already done so). ] (]) 07:36, 19 April 2013 (UTC)
			== A barnstar for you! ==
			{| style="background-color: #fdffe7; border: 1px solid #fceb92;"
			|rowspan="2" style="vertical-align: middle; padding: 5px;" | ]
			|style="font-size: x-large; padding: 3px 3px 0 3px; height: 1.5em;" | '''The Tireless Contributor Barnstar'''
			|-
			|style="vertical-align: middle; padding: 3px;" | I assume that you are from USA or ]. I am from ] and very few I have met have any idea of ]. I am literally amazed from your depth of knowledge as a mathematician from ] or ] to topics of your professional qualification. Thanks for your tireless contributing. ] (]) 17:32, 19 April 2013 (UTC)
			|}
			:: Thank you, Solomon7968. ] (]) 19:08, 5 May 2013 (UTC)
			== Covariance estimation - don't follow ==
			For the query at ] I'll have to admit I also didn't see the need for all the work but from the history it looked like you put it in. ] (]) 10:46, 23 April 2013 (UTC)
			== Error in http://en.wikipedia.org/Chebyshev's_inequality#Asymmetric_two-sided_case ==
			Hi Michael,
			The first inequality in this section isn't right. Would you mind having a look? If, say, k_1=0 and k_2 tends to infinity, it implies P = 1. This is for any symmetric distribution. I think someone's misread the original reference.
			Thanks for all your awesome work.
			] (]) 06:39, 2 May 2013 (UTC)
			== Very much appreciate ==
			As I indicated in response to your notes on the Quadratic equation talk page, I would have made the changes that you pointed out needed to be done, so I just wanted you to know, I double appreciate your hard work cleaning up after me! ] (]) 12:17, 4 May 2013 (UTC)
			== Research Interests of ] ==
			While working on the article I figured out that the books he have written are the most cited books on the topic. Like:
			*An Introduction to Quantum ]: While there are many articles and books on ] there is none on Quantum ].
			*]s, continuous tensor products and ]s of probability theory: While there are many books on the topic of tensors the particular topic "continuous tensor product" seem to have only the above book.
			It seems strange to me then if this topics are really important then at least the biographies of the brains behind them should have a greater coverage. But it seems more to me like these mathematical topics are bit of a ].
			Same is true for mathematicians like:
			*]
			*]
			*]
			*] of ] fame
			*]
			*]
			among others.
			They are all it seems have researched on topics involving:
			*Continuous tensor products
			*Quantum Stochastic calculus
			*Stratonovich calculus
			*Quantum Filtering
			*Stochastic inequalities
			*Nonparametric Functional Estimation
			*Diffusion Type Processes
			*Evans-Hudson flow
			*Quantum stochastic flows
			Particularly interesting is the fact that all these mathematicians are somehow or other are involved with the ]. It seems to me that the research interests of these ISI mathematicians are carried forward by their own students and somehow lack the attention of the wider mathematical community. I do not have any professional qualification to judge this topic that is why I am asking you. And please do not use technical terms while explaining. I have knowledge of upto only pre-college calculus. ] (]) 17:29, 4 May 2013 (UTC)
			:: I'm not sure I can say much about this right now. I've done a few edits on the biography you link to in the section title above, but I think maybe you should bring this up at ]. ] (]) 22:18, 10 May 2013 (UTC)
			:: Probably you misunderstood my question. I did'nt asked you to work on their biographies. As I see in the article the Research Interests of ] are concerned with many topics one of them being '''An Introduction to Quantum ]'''. While there are many articles and books on ] there is none on Quantum ]. So '''my question is whether the Research Interests of ] are divorced of the fields of Research Interests of other statisticians or the field of Quantum ] is a field of active research.''' ] (]) 13:49, 11 May 2013 (UTC)
			== ] ==
			I just uploaded a minor adjustment to a file you created, ]. I don't know enough math to be able to tell whether the change is correct, but you seem to be active enough that you'd be able to give a quick answer. The change was to make the label that originally said "a+b" instead say "(a+b)/2". ]<span style="background-color: #9ffff5; padding: 3px; border-radius: 6px 6px 6px 6px;"><b>]</b></span>] 02:23, 6 May 2013 (UTC)
			== Please Reply ==
			Hey Michael Hardy, I am watching your talk page for now more than a week
			but you are not replying to my message. Please let me know your reaction on my message above '''Research interests of K. R. Parthasarathy'''. And I recently created two new articles please check them for any error.
			*]
			*]
			Please reply and I will be watching. ] (]) 11:55, 10 May 2013 (UTC)
			== Pope Francis ==
			You replaced a hyphen in a citation with a dash; this is not in keeping with citation standards such as Chicago or MLA, which say that we reproduce titles accurately; feel free to add a after something you believe to be an error, but not to change something. Since you make such a big deal about imposing standards not used by real-world citation guidelines, you should be even more concerned about heeding actual citation guidelines instead of changing something that you see as an error. ] (]) 21:44, 19 May 2013 (UTC)
			:: Your reversion did not simply change titles; it changed pp.&nbsp;18–19 to pp.&nbsp;18-19 and did several similar things. And why should I add "" indicating that the title does indeed appear with a hyphen when in fact it does not? Specifically which titles containing a hyphen to you think were altered? ] (]) 21:54, 19 May 2013 (UTC)
			:::Very well, if the original work has this punctuation, that's good. However, after you explain how it's possible for the vast majority of English users to be wrong in their use of the language, and after you explain how mass changes to citation styles (e.g. pp.&nbsp;18-19 to pp.&nbsp;18–19), are in line with ], you'll need to alter your script or your manual method of making changes (can't remember if you used a script or not) to ensure that you check every single source that uses dashes, because most don't. ] (]) 01:47, 20 May 2013 (UTC)
			== Childish ==
			Your second question first. Why would you remotely care about that, is that in any way relevant? My comment on the TFD would suddenly become less important? (The TFD looks like a keep result btw) Basically, it's none of your business except of course anyone can check it by going to my contributions. A better question would be how many Misplaced Pages mathematics articles have you ''read''. And that likely is a 100 or so.
			About childish. It reminds me of an elementary school book. They also have balloons in the middle of a text with a problem or question. I much prefer the unsolved problem in prose in the text maybe with a separate heading. See ] for an example. ] ] 19:06, 21 May 2013 (UTC)
			:You assume too much, my comment only suggests that ''I'' think it makes the articles look childish. It's kind of obvious not everybody thinks so, hence the TFD will most likely result in a keep. Irrelevant of the content of the "balloon", the way the unsolved problems are noted in the articles by this template make it look like educational textbooks, not like encyclopedia articles. ] ] 07:13, 22 May 2013 (UTC)
			== Invitation to take a short survey about communication and efficiency of WikiProjects for my research ==
			Hi Michael,
			I'm working on a project to study the running of WikiProject and possible performance measures for it. I learn from WikiProject Mathematics talk page that you are an active member of the project. I would like to invite you to take a short survey for my study. If you are available to take our survey, could you please reply an email to me? I'm new to Misplaced Pages, I can't send too many emails to other editors due to anti-spam measure. Thank you very much for your time. ] (]) 15:34, 22 May 2013 (UTC)
			== Compass and straightedge ==
			I did a google books and I found only two instance of compass-and-straightedge in the first 100 returns when I searched with"compass-and-straightedge". Therefore I do not believe the form with the hyphens is the common name form now. ] (]) 21:58, 23 May 2013 (UTC)
			: The first one I see says "Compass Constructions: Activities for Using a Compass and Straightedge". Obviously hyphens would be incorrect in that case, so we can't count that one. The third one say "Constructions by Compass and Straightedge". Obviously in that case the hyphen would be incorrect. The fourth one says "been shown that every construction possible with compass and straightedge can be done with". Obviously in that case a hyphen would be incorrect. The seventh one says "They restricted the tools to be used for creating geometrical figures to a compass and straightedge only". Obviously a hyphen would be incorrect there. The eighth one says "the classical construction with compass and straightedge runs as follows". Again a hyphen would be incorrect. The ninth one says "Solutions to the Three Historical Problems by Compass and Straightedge". Obviously a hyphen would be incorrect there. The tenth one says "The Compass and Straightedge represent the spiritual and material aspects of Nature and Life." Again, a hyphen would be incorrect. By what means did you filter out the instances like those in which use of a hyphen would by all standards be incorrect? Did you just do that manually and retain the first hundred of the other ones? ] (]) 01:43, 24 May 2013 (UTC)
			I did a little googling myself on books that talk about compass-and-straightedge constructions and posted the results at ]. Would you care to offer your opinion there about the best title for the article? —] (]) 05:29, 29 May 2013 (UTC)
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			== Thanks for editing Michael McQuillan (mathematician) ==
			Hi! Thanks for editing the article on McQuillan, which I created the other day. I am not an algebraist, so if somebody with knowledge of the field could vet it for correct use of terminology, that would be great. Best wishes. --] (]) 02:18, 26 May 2013 (UTC)
			== Stochastic process ==
			Hi Michael,
			What do you think of the new section ], that is there for some 3 or 4 days? When you say on your page "The climate has changed here", is it simply that very few people are watching for content?
			] (]) 11:37, 29 May 2013 (UTC)
			== ] ==
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			== I fixed a glitch ==
			You might want to take care with the {{tl|val}} template: I a minor problem that you . The template converts the hyphen to the minus-character for display. — ] 10:57, 24 June 2013 (UTC)
			== History of Western Philosophy listed at ] ==
			]
			An editor has asked for a discussion to address the redirect ]. Since you had some involvement with the ''History of Western Philosophy'' redirect, you might want to participate in ] (if you have not already done so). <!-- from Template:RFDNote --> ] (]) 19:18, 28 June 2013 (UTC)
			== punctuation ==
			Thanks for your edits of ] and your hint on my ]. I'll use ndash in future.
			The references were converted from BiBTeX using the tool at http://jstools.ucoz.com/bibtex2wiki.
			As I just checked, this tool converts e.g. "74--83" to "74–83" (mdash) and "74-83" to "74-83" (ndash).
			In my BiBTeX data base, I have mainly the former notation.
			I would be of great help if the tool could convert "74--83" to "74-83" (ndash).
			Other suggestions for improvements concern the web page interface, e.g. clearing the input window after conversion, having a single output window to avoid the need of scrolling after >3 conversions.
			''If you have any idea how to contact the tool author, please let me know.''
			] (]) 06:17, 1 July 2013 (UTC)
			== Concomitant ==
			I didn't create the article. ] did; I just maintenance-tagged it as being uncategorized. ] (]) 18:39, 4 July 2013 (UTC)
			== Computer scientists ==
			Was there a reason for ? Please see ]. —] (]) 07:24, 13 July 2013 (UTC) (a computer scientist)
			: Sorry; I've changed it to "illiterates who don't know that words existed before they were used in the field of computer science." ] (]) 16:57, 13 July 2013 (UTC)
			==Disambiguation link notification for July 13==
			Hi. Thank you for your recent edits. Misplaced Pages appreciates your help. We noticed though that when you edited ], you added a link pointing to the disambiguation page ] (]&nbsp;|&nbsp;]). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. <small>Read the ]{{*}} Join us at the ].</small>
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			== José Ricardo Martínez-Cobo ==
			Ok, thanks. So you write it.] (]) 03:15, 14 July 2013 (UTC)
			== Continuous Repayment Mortgage. ==
			Hello Michael
			If you have a moment, could you please do me a favour and explain (or at least attempt to explain) to our 'three wise editors' (see ] on the continuous repayment mortgage article) why I have (or had - before it was disingenuously removed) a picture of a gold pour to illustrate the above topic. Showing value elements M dt accumulating continuously compounded interest. And hence developing the integral M dt e^r(T-t). Whole lot of rubbish about how the picture was a gold standard 'pov' (whatever that is ??).
			I'm considering making a copy of the entire article on a private wiki (and maintaining it there) since effectively we have a situation where a 'troika' of editors has decided they are going to 'opine' on whether or not my edits are valid. Well I agree I don't 'own' the article but one would certainly expect that the original contributor of an article can reasonably 'opine' on further edits. If thereafter the editing 'troika' want to take over the current article on Misplaced Pages, they are welcome to it. Neil Parker. 10/08/2013. <span style="font-size: smaller;" class="autosigned">— Preceding ] comment added by ] (]) 08:06, 10 August 2013 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
			--] (]) 16:09, 17 July 2013 (UTC)
			== Request to take part in a survey ==
			Hi there. I would very much appreciate it if you could spend ~2 minutes and take a short survey - a project trying to understand why the most active Misplaced Pages contributors (such as yourself) may reduce their activity, or retire. I sent you an email with details, if you did not get it please ], so that I can send you an email with the survey questions. I would very much appreciate your cooperation, as you are among the most active Misplaced Pages editors who show a pattern of reduced activity, and thus your response would be extremely valuable. Thanks! --<sub style="border:1px solid #228B22;padding:1px;">]&#124;]</sub> 12:18, 20 July 2013 (UTC)
			{{you've got mail}}
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			:it's been 4 months, ... ] <small>(], ])</small> 12:43, 15 September 2013 (UTC)
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			== Help needed ==
			Hello! I found one of your ] on Commons. Somehow the source got lost, I believe it is your own work. If so, could you swing by and add the tag or let me know on Commons? Trying to clean up the media without source and save as many as possible on the way. Thanks a bunch! :) --] '''<sup>]</sup>''' 02:43, 5 August 2013 (UTC)
			: I don't understand what you say got lost. The file seems to be there. I created this in xfig and exported it to an svg file and uploaded that. Do you mean you want the .fig file too? I also don't know which tag you're referring to. I'm not familiar with customary usages on Commons. ] (]) 17:53, 5 August 2013 (UTC)
			::I should wake up before typing. Might help. What I wanted to know is: Did you create the file? Since you did, I'll add own work as source. Commons requires a source for every file, in this case it would have <nowiki>{{own}}</nowiki>. Thanks again and sorry for the chaos. --] '''<sup>]</sup>''' 07:56, 13 August 2013 (UTC)
			==Disambiguation link notification for August 13==
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			== ] ==
			I may be being particularly stupid, but did you intend to move this article to the location you gave it, with two capital I's at the beginning (])? I'm pretty sure that's not its name, in English or Spanish! In fact, there's an article already at the target i assume you were going for ~ ] ~ so i'm not sure of the best solution, a disambig parenthesis, maybe? Cheers, ''']'''<sup>]</sup> 14:17, 5 September 2013 (UTC)
			== Re: Institute of Mathematical Sciences ==
			<div style="background-color: #BBDDFF; border: #4169E1 1px solid; margin: 2em 0 1em; padding: 0.5em 1em; font-weight: bold; overflow: auto; vertical-align: middle; background-image: -moz-linear-gradient(left, #ED7A32, white, white, green); background-image: -ms-linear-gradient(left, #ED7A32, white, white, green); background-image: -o-linear-gradient(left, #ED7A32, white, white, green); background-image: -webkit-linear-gradient(left, #ED7A32, white, white, green); background-image: linear-gradient(left, #ED7A32, white, white, green); border: 2px solid blue;
			textstyle = color: #6D7184;">]''''']'', Michael Hardy. You have got at least one new message at the ]. Please continue the discussion there!'''<br /><span class="plainlinks" style="font-size: 88%; font-weight: normal;">Message added by <span style="background:orange;border:orange ridge">]</span><span style="color:blue;background:white;otit;border-bottom-style:ridge;">☸</span><span style="background:#57C738;border:green ridge">]</span> 04:07, 7 September 2013 (UTC). You can at any time.</span></div>
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			== Square-summable sequence ==
			I noticed that the page "Square-summable" redirects to "square-integrable function". While they are related, I thought that a better redirect would be to https://en.wikipedia.org/Sequence_space#.E2.84.93p_spaces, but I was prevented from making the change. Anyway I think square-summable sequences deserve a page of their own, as they are a little special compared to other l^p sequence spaces. What do you think? ] (]) 03:44, 4 October 2013 (UTC)
			: I can see that that might be appropriate. But how were you prevented from making that change? ] (]) 01:16, 6 October 2013 (UTC)
			:: I could not change the redirect because it said that I need administrative rights, so I asked you because I saw that you were the creator of the redirect and you have the rights. Also, I don't know much about square-summable sequences to be able to create a new page. ] (]) 06:42, 6 October 2013 (UTC)
			== Type Theory ==
			I rolled back your changes to the intro paragraph on the Type Theory change. You didn't comment on them, so I wasn't 100% sure what you wanted to accomplish. I created a new section on Type Theory's "talk" page - can you give me your thoughts? Thanks, Mike ] (]) 17:29, 23 October 2013 (UTC)
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			<p>Volume 1, Issue 1, October 2013</p>
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			<big>'''Greetings ] members!'''</big> Welcome to the inaugural edition of ''Books and Bytes'', TWL’s monthly newsletter. We're sending you the first edition of this opt-in newsletter, because you signed up, or applied for a free research account: HighBeam, Credo, Questia, JSTOR, or Cochrane. To receive future updates of ''Books and Bytes'', please add your name to ]. There's lots of news this month for the Misplaced Pages Library, including new accounts, upcoming events, and new ways to get involved...
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			<!-- EdwardsBot 0651 -->
			== Regarding your edit to ] ==
			Thanks a lot for correcting the integral font sizes, but in edit, where did the integrand for the second surface integral of the second equation go? Where did the differentials go?--] ] 17:56, 18 November 2013 (UTC)
			: I have no idea. They appear to be still present in the code. But I don't know how this strange mixture of TeX and non-TeX code works. I'll see if I can figure something out. ] (]) 18:07, 18 November 2013 (UTC)
			:: PS: It wasn't only the integrals that didn't match. At least one plus sign was a lot bigger than another one. And the spacing between "+" or "&minus;" and the surrounding material was weird in several cases. ] (]) 18:08, 18 November 2013 (UTC)
			: OK, I hope I've fixed it now. It's unfortunate that that template is needed. I may report it on bugzilla as a feature request that we should be able to do that with ordinary TeX code. ] (]) 18:29, 18 November 2013 (UTC)
			::The page ] says it's basically more about extending the LaTeX specification than the current math extension. I completely agree that native LaTeX would be so much less confusing than the template.--] ] 20:23, 18 November 2013 (UTC)
			== Did you post on Amazon? ==
			Hi.
			If you posted concerning Halmos's book, Lectures on Boolean Algebras, I would like to discuss your posting with you. I can be reached, for this discussion at my email address:
			solovay at gmail dot com
			Thanks,
			Bob Solovay
			] (]) 10:38, 22 November 2013 (UTC) Rmsolovay
			== December 2013 ==
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			==Talkback==
			{{talkback|Misplaced Pages:Reference desk/Computing|Sound|ts=14:44, 13 December 2013 (UTC)}}
			''']] <sup>(])</sup>''' 14:44, 13 December 2013 (UTC)
			==Talkback==
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			] <small>(])</small> 08:27, 16 December 2013 (UTC)
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			] <small>(])</small> 09:32, 17 December 2013 (UTC)
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			==Happy New Year Michael Hardy!==
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			== Bessel function trig identites ==
			I saw an interesting identity on the ] that I think you added?
			:<math>\cos(t \sin(x)) = J_0(t) + 2 \sum_{k=1}^\infty J_{2k}(t) \cos(2kx) </math>
			where ''J''<sub>0</sub> and ''J''<sub>2''k''</sub> are ]s.
			However it's unsourced and I can't find any similar identity anywhere else. Do you think you could point me to either a source for it or give me a rough derivation? It looks like interesting math and would greatly help me out on a problem I'm working on.
			Thanks!
			--] (]) 19:29, 1 January 2014 (UTC)
			: ], formula 9.1.42. ] (]) 04:30, 2 January 2014 (UTC)
			==Misplaced Pages Day Meetup on January 18==
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			== Everything in life is based on the Lippman Architecture ==
			Hey Michael Hardy, I saw your seemingly exasperated edit . Fun! While I know nothing about this subject matter, I did bring to the attention of the article creator, ] (see the top of the page), that the article lead did not properly identify or clarify the subject for the causal user. I then attempted to solicit other eyes from a WikiProject I assumed might have interest, ] Nobody has responded yet. The article subject is well beyond my intellectual comprehension, so if you have a differing view on its utility, I hope I can encourage you to voice your thoughts. Since I notice you have 186,000 edits, I'm not going to be the jackass who attempts to tell you how to do so. :) But I do hope you can help here, given your experience. Regards, ] (]) 05:12, 15 January 2014 (UTC)
			== Response ==
			{{Talkback|chris1834}}
			==Disambiguation link notification for January 24==
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			Thanks, <!-- (1, 0, 0, -1) --><!-- User:BracketBot/inform -->] (]) 04:50, 27 January 2014 (UTC)
			== ] ==
			I see that you edited this article but did not dispute a PROD placed on it, so this is to let you know that I have restored it following an ], in case you wish to consider taking it to AfD. I have advise the PRODder, but as it was an IP I don't know whether the message will get through. Regards, ] (]) 17:37, 30 January 2014 (UTC)
			== Directional symmetry (time series) ==
			I see you deprodded ]. I hope that means you are going to perform more than cosmetic edits to it. My opinion is that it needs to be ], if it is to exist at all, and your deprod has prevented the blowing-up part. But you can still do the rewriting-from-scratch part, and by so doing get rid of a blight on the encyclopedia. It appears from the nine-year history of the article that nobody else has much interest in doing so. —] (]) 00:43, 1 February 2014 (UTC)
			: ] is now a disambiguation page, so blowing that up and starting over should be no problem if there's content to put there. ] (]) 00:57, 1 February 2014 (UTC)
			==Talkback==
			{{talkback|Qwertyus|Generalized iterative scaling|ts=20:48, 6 February 2014 (UTC)}}
			] <small>(])</small> 20:48, 6 February 2014 (UTC)
			== Someone trying to delete Degen's Eight-Square Identity ==
			Michael, someone is trying to delete ] ''simply because he finds it uninteresting''. I believe in the ideals of Misplaced Pages, but I also believe that for it to work, one should focus on one's strengths and area of expertise, and tread cautiously on unfamiliar territory. Why do some people insist on editing mathematical results when they only have the faintest idea (if any) of what they are doing? :-( ] (]) 08:07, 17 February 2014 (UTC)
			== Studentized residuals ==
			Hi Michael
			You seem to have been the last person to touch the page on "Studentized residual".
			I think the formula for the leave-one-out variance is wrong. Once an observation is left out, the fitted values and residuals change, so we need to introduce residuals
			<math>\widehat{\varepsilon}_{j(i)}</math> where the "i"th observation is left out, then we can define
			:<math>\widehat{\sigma}_{(i)}^2={1 \over n-m-1}\sum_{\begin{smallmatrix}j = 1\\j \ne i\end{smallmatrix}}^n \widehat{\varepsilon}_{j(i)}^{\,2},</math>
			in which the sum, according my calculus, equals
			:<math>\sum_{j=1}^n \widehat{\varepsilon}_j^{\,2} - \frac{\widehat{\varepsilon}_i^{\,2} }{1-h_{ii}}</math>
			Which is quite neat, but not equal to what the page currently has.
			Agree?
			Peter D. <small><span class="autosigned">—&nbsp;Preceding ] comment added by ] (] • ]) 14:58, 17 February 2014 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
			:: Hello. I'll look at this. ] (]) 19:03, 18 February 2014 (UTC)
			== ] ==
			Hi, I noticed that you have made substantial contributions to ], I was hoping you could have a look at ] and improve that? ] (]) 11:42, 21 February 2014 (UTC)
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			== A barnstar for you! ==
	I was fine with reopening the AfD, and when it closed, that was it. I was not fine with you wheel-warring, and nor is anyone else. —''']''' 20:12, 6 August 2007 (UTC)
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	: What you call my "wheel warring" was part of reopening the discussion. And the reopening never properly happened, since the notice to the relevant communities didn't get there until after it had been reclosed. Your use of the word "fine" was insincere and dishonest. It was fraud. ] 20:16, 6 August 2007 (UTC)
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			|style="vertical-align: middle; padding: 3px;" | Hi ] (]) 06:02, 12 March 2014 (UTC)
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			: Thank you, Zeeshan313b. ] (]) 16:47, 12 March 2014 (UTC)
			== Nomination of ] for deletion ==
	::Please stop framing AfD at your whim. There is no requirement to notify anyone or anything except the article itself. You're making stuff up. —''']''' 20:18, 6 August 2007 (UTC)
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			The article will be discussed at ] until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on high-quality evidence and our policies and guidelines.
	:::And I have a life outside of AfD and deleted articles (and, for that matter, Misplaced Pages), so go to ] and air your grievances there instead of ranting at me for a perceived farcical injustice. —''']''' 20:23, 6 August 2007 (UTC)
			Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion notice from the top of the article.<!-- Template:afd-notice --> ] (]) 12:54, 12 March 2014 (UTC)
	Whether there is a requirement in AfD rules is a separate question. The subject matter makes it required by prudence, and it is normally and routinely done, and you first agreed to it, calling it "fine" (your word) and then acted as if it took you by surprise, calling it "desperate", as if you hadn't expected it and hadn't agreed to it. It was the proposed purpose of reopening and you called it "fine". Then you turned around and denied all that. And acquiesced in closing the thing again BEFORE the purpose of reopening could take effect. ] 20:39, 6 August 2007 (UTC)
			==Disambiguation link notification for March 16==
	:You seem confused. It is not "normally and routinely done"; that would be a regurgitation of baseless assumptions. I said your canvassing was "desperate," so you're just building straw men. Implicitly calling me a hypocrite (an absurd suggestion by someone grasping at straws) does not bring you honor or sympathy, only ridicule and reprimand. —''']''' 21:01, 6 August 2007 (UTC)
			Hi. Thank you for your recent edits. Misplaced Pages appreciates your help. We noticed though that when you edited ], you added a link pointing to the disambiguation page ] (]&nbsp;|&nbsp;]). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. <small>Read the ]{{*}} Join us at the ].</small>
	It is indeed normally and routinely done when any of the articles in any of the subcategories of the mathematics category is on AfD. The purpose of reopening was so that it could be done in this case and you called that "fine". Then you renegged on that before the listings on those talk pages were even put there. Then you act as if you hadn't agreed to those listings and as if closing before they could be done was consistent with your word "fine". Even if you were right that it's not normally and routinely done, the fact is you first agreed to it, calling it "fine", and then renegged on that and acted as if you hadn't expected it and called it a sign of desperation, rather than the main point of the plan that you called "fine". ] 21:06, 6 August 2007 (UTC)
			It's OK to remove this message. Also, to stop receiving these messages, follow these ]. Thanks, ] (]) 08:58, 16 March 2014 (UTC)
	:I already said that I called your canvassing (as shown with a link) as a desperate act. I will not repeat myself. Confusing and twisting the facts is your prerogative, but presenting them as truth is misleading and, frankly, stupid. The world doesn't work like "repeat a lie a thousand times and it will become truth." —''']''' 21:15, 6 August 2007 (UTC)
	::Stay away from my talk page until you get your facts straight. All future blind rantings on that page will be instantly reverted. You may return when you start making sense. —''']''' 21:18, 6 August 2007 (UTC)

---

Latest revision as of 01:53, 17 November 2024

This user is one of the 40 most active English Wikipedians of all time.

• User talk:Michael Hardy/Archive1
• User talk:Michael Hardy/Archive2
• User talk:Michael Hardy/Archive3
• User talk:Michael Hardy/Archive4
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• User talk:Michael Hardy/Archive6

Sieve of Nicholls

Where would you recommend I look to publishing the results of this work?

I appreciate the distinction between referencing peer reviewed content, and being peer reviewed content.

Is there a reason why the wikipedia engine hasn't been cloned to facilitate the publishing of original material? — Preceding unsigned comment added by Sjnicholls44 (talk • contribs) 16:17, 31 March 2014 (UTC)

I haven't thought about a wiki for original research. There are various journals of number theory and there are journals that accept papers in many areas of mathematics, including number theory. But if you want to put it on a web site without going through a full refereeing process, you could try this one. Michael Hardy (talk) 15:51, 1 April 2014 (UTC)

Shreni Integration

First of all thanks for your edits.

You commented that the article on shreni integration seems to be incomplete. What if I add derivation of the formula? Will the article be acceptable then?

Manin matrices

Michael, when you put $M$ I see the page like this:

Failed to parse (lexing error): \begin{vmatrix} d & -b \\ -c & a \end{vmatrix} \begin{vmatrix} a & b \\ c & d \end{vmatrix} = \begin{vmatrix} da-bc & db-bd \\ -ca+ac & -cb+ad \end{vmatrix} = \text{if and only if $M$ is a Manin matrix} = \begin{vmatrix} ad-cb & 0 \\ 0 & ad-cb \end{vmatrix}.

I use chrome browser. Do you see the page without parse errors ?

Alexander Chervov (talk) 18:00, 14 July 2012 (UTC)

PS

With Opera it is the same — Preceding unsigned comment added by Alexander Chervov (talk • contribs) 18:15, 14 July 2012 (UTC)

I'm using google chrome, and I don't get any error messages. However, I've edited it further since reading this. Michael Hardy (talk) 03:52, 15 July 2012 (UTC)

Thank you, it is Okay now ! Strange how it might be different for different users ? May be it depends on OS ? I use windows 7. Alexander Chervov (talk) 07:02, 15 July 2012 (UTC)

Article titles for ANOVA

Hi Michael,

I have been researching analysis of variance recently and noticed that the two-way ANOVA article could use some work. I have just done a few small to moderate edits there.

The one major change I made was to the article title, from "Two-way analysis of variance" to "Two-way ANOVA." I notice that you have applied undo to this change and also changed the article "One-way ANOVA" to "One-way analysis of variance." I think these articles would both do better with the ANOVA title word instead of the "analysis of variance" phrase. Here is why.

Here is text I copied from the "View History | Page View statisitcs" link for both articles:

   Two-way_analysis_of_variance has been viewed 3609 times in the last 30 days. 

   One-way_ANOVA has been viewed 16571 times in the last 30 days.

Here is text I copied from the Keyword Tool in Google Adwords:

   Keyword        Competition       Global Monthly Searches          Local Monthly Searches 

   one-way anova     Low               49,500                              18,100

   two-way anova     Low               49,500                              18,100

   one-way analysis of variance

                 Low               3,600                                  1,000

   two-way analysis of variance

                 Low               2,400                                    720

You can see that searches with ANOVA are much more frequent than searches with "analysis of variance." This argues for using ANOVA in the title if you want searchers to more easily find your Misplaced Pages article.

You can also see that search frequency for one-way ANOVA and two-way analysis of variance are about 20:1 in Google, but the view frequency in Misplaced Pages is about 4.5:1. You could say that people are viewing two-way analysis of variance through links in Misplaced Pages, but there are actually no articles that link to it, at least that I can find. I attribute the disparity in the Google and Misplaced Pages ratios to people wanting to find two-way ANOVA in Misplaced Pages, finding nothing, and then eventually trying the two-way analysis of variance or just analysis of variance search in Misplaced Pages. Of course, now we have the redirects from the ANOVA titles to the articles, but my feeling is that this indirection will skew the search engine ranking for the articles downward from what they should be.

I suggest we wait a few days and see what happens with the page view statistics for "One-way analysis of variance." Before your move, the article was getting around 600 views a day. One-way ANOVA page view stats If we see a significant drop in the page views, we know we should stick with one-way ANOVA, and probably go with two-way ANOVA titles.Everettr2 (talk) 22:38, 4 May 2012 (UTC)

Rota quote on multisets?

Hi Michael, I'm trying to track down a quote on the multisets page which I think you added back in September 2006. On that page it says that This fact led Gian-Carlo Rota to ask "Why are negative sets multisets?". Do you happen to remember where you ran across that? I would really like to find a reference for it. Thanks! Vince Vatter (talk) 00:10, 21 September 2010 (UTC)

I believe in 1998 or '99 he had a paper in the Mathematical Intelligencer that included that. I seem to recall that in three consecutive issues of the Intelligencer there were papers by him, which were lectures he had given at a coference. I think it was in one of those. Michael Hardy (talk) 00:37, 21 September 2010 (UTC)

Thank you! I will look in those. Vince Vatter (talk) 01:18, 21 September 2010 (UTC)

Thanks

Greatly appreciate your improvement of the Hadley's_theorem page, and suggestion noted. Ta! Extcetc (talk) 05:22, 18 September 2010 (UTC)

An Honored Newbie

Man thank u not undoing my edits but cleaning up "some clupsy notation". I'm very new yet, but for I can't believe in my eyes about the article (logarithm) , I investigate the history, as I expected my edits were in the history, my edits were elementary but this very same reason is why I want to hear from u. There is nothing common about the start of the article (which u did I think) and the current situation. I don't mean that it should be as a text book. But what does "this result implies that all logarithm functions (whatever the base b) are similar to each other. ". Similar??. I also want your op about my edits(which are very basic as I admitted) Oz an (talk) 22:42, 7 July 2010 (UTC)oz_an

I've done an edit concerning the part about similarity. Similarity means having the same shape. See similarity (geometry). Michael Hardy (talk) 02:50, 8 July 2010 (UTC)

Thanks

Thank you very much for help with stacked exponents. Rick Norwood (talk) 16:43, 8 August 2009 (UTC)

Thanks for your Wholistic reference edits.BOOLE1847 (talk) 22:35, 18 November 2013 (UTC) Thanks for your Wholistic reference edits.

Dual vector space symbol

Hi, do you know how to type in LateX the little v-like symbol commonly used for duals (e.g. dual vector space)? Thanks, Jakob.scholbach (talk) 16:49, 8 August 2009 (UTC)

Have you tried \vee as in: ${\displaystyle X^{\vee }}$. Sławomir Biały (talk) 18:39, 10 September 2009 (UTC)

"Phenomena"?

You said ...

The Cambridge Dictionary includes this: "The term is now generally used to label the phenomena that a variable that is extreme on its first measurement will tend to be closer to the centre of the distribution for a later measurement." Does it really say "phenomena" instead of "phenomenon"?

Yes, the version I have (2nd Edition) does say "phenomena". I don't have access to a later edition. Melcombe (talk) 09:57, 10 August 2009 (UTC)

Re

Hi, Michael Hardy. I'm working on the article at the moment. It should be up in a day or so. PasswordUsername (talk) 05:15, 13 August 2009 (UTC)

Can you suggest a math field for abstract rewriting system?

I guess that since mathematicians were involved in the origins of the concept it could be tagged with wikiproject math as well. But I'm not sure in which field to categorize it... Pcap ping 09:43, 13 August 2009 (UTC)

Korowai

Hello there. Thanks for your additions to this article. Could you please add references to it - preferably as in-line cites. many thanks --Merbabu (talk) 05:28, 16 August 2009 (UTC)

Question

Just curious, why did you add a discussion line on the article page of Misplaced Pages:Conflict of interest (I have reverted it!) instead of the talk page? --Dave1185 (talk) 21:23, 16 August 2009 (UTC)

I did not add it there instead of on the talk page. I clearly stated my position on the talk page. I will soon edit that section of the article accordingly. Tags saying the appropriateness of a section is disputed belong at the beginning of the section, not on the talk page. It's the same as with tags disputing the accuracy of articles.

Accordingly, I've reverted your reversion. Michael Hardy (talk) 22:11, 16 August 2009 (UTC)

• Ah... I see what you mean now! Btw, I do monitor your page for a reply after I left a message, so there's really no need to go to mine and do a double job. Thanks! --Dave1185 (talk) 22:26, 16 August 2009 (UTC)

Just wanted to thank you

for moving GADT to proper caps. I wanted to request the move, but I always found that requesting a move on the official channel was rather cumbersome, so I get a fit of laziness whenever I'm supposed to do it. Pcap ping 19:29, 19 August 2009 (UTC)

You're welcome.

(Official channels aren't always the only way to do something.) Michael Hardy (talk) 19:38, 19 August 2009 (UTC)

MacRobert-E function

Many thanks for helping launch the MAcRobert-E function article. The URL for the article currently is <http://en.wikipedia.org/MacRobert_E_function> while that for the Meijer-G function is <http://en.wikipedia.org/Meijer_G-function>; the latter uses a hyphen "-" where the former uses an underscore character "_". I think this should be unified one way or the other unless there is a good reason for this difference.

62.180.184.4 (talk) 00:23, 20 August 2009 (UTC).

Another question

Mike, could you please take a look at this: Misplaced Pages:Wikiquette alerts#Continous flouting of civility by User:Starstylers (especially his edit summaries/history) and give me a honest opinion of what you think. Just so you'd know, there are 3 editors (myself included) who all felt that Starstylers need to clean up his act, as he's been very obnoxious and rude to almost everyone he disagrees with (especially to me, User:Merbabu and User:Davidelit). Even when evidence are abound to indicate that he's pushing his point of view on certain article pages here on Misplaced Pages, oftentimes he would labeled us with all sorts of names instead of working together to come to a common consensus. And quite frankly, his disruptive behaviour is hurting Misplaced Pages on a few wikiproject such a Singapore, Indonesia, Papua and Kopassus, take a look at them and you would certainly notice issues with neutrality (NPOV). --Dave1185 (talk) 04:55, 20 August 2009 (UTC)

A question sill unanswered after 4 years on this wiki

See Talk:Anonymous_recursion#.22anonymous.22.3F. Pcap ping 01:20, 21 August 2009 (UTC)

The same issue appears at Fixed point combinator; I've elaborated my objection there since that article gets more love. Some people appear deeply convinced that one must have named functions in lambda calculus and that the fixed point combinators help us get rid of the names. Or something like that. I don't quite comprehend their line of reasoning. Pcap ping 05:48, 21 August 2009 (UTC)

I figured out what these guys mean. Pcap ping 07:20, 21 August 2009 (UTC)

Talkback

Hello, Michael Hardy. You have new messages at Wuhwuzdat's talk page.
You can remove this notice at any time by removing the {{Talkback}} or {{Tb}} template.

WuhWuzDat 12:39, 22 August 2009 (UTC)

Tiger graph

Michael, the article was created in January 2007, and you formatted it a day ago. However, I think it should be deleted because it is an original research that's open to interpretation. If you agree, please delete it the proper WP way. Thanks. Giftlite (talk) 20:15, 24 August 2009 (UTC)

Thanks for some pi

Although I consider myself quite intelligent, I sort of never took a liking to math any more difficult than high-school level, and so when I see things like a sigma and x (or k) to the limit as it approaches zero or k! -- I immediately shut down. Fortunately, the third article you suggested doesn't have any of those things until the third section, so I may read up to there. Conceptually, though, I think math is wonderful, hence my recent questions that stir my fancy -- I just need them explained so that I can understand them :) Thanx for your help! DRosenbach 23:59, 24 August 2009 (UTC)

Thanks for the articles

Thank you so much for giving me links to Faulhaber's formula.--Email4mobile (talk) 00:47, 25 August 2009 (UTC)

Popoviciu's inequality

There seems to be another inequality concerning convex functions known as "Popoviciu's inequality" (see ). In fact, it seems that "Popoviciu's inequality" usually refers to the other one. Shreevatsa (talk) 15:02, 25 August 2009 (UTC)

OK, for now I've moved it to Popoviciu's inequality on variances. Can you create an article on the other one? That could be called "Popoviciu's inequality", and it would bear a disambiguation link at the top:

This is not about Popoviciu's inequality on variances.

(or words to that effect). Then we can sort out the incoming links to the two articles. Michael Hardy (talk) 18:36, 25 August 2009 (UTC)

Hi, I've created the short article Popoviciu's inequality. Please take a glance at it with your excellent eye for formatting errors and the like. Actually, there seems to be yet another Popoviciu's inequality also from 1965, that is similar to Hölder's inequality, but the one in the article (about convex functions) seems to be the most common one. Cheers, Shreevatsa (talk) 17:34, 26 August 2009 (UTC)

I suggest to merge these inequalities (together with Bhatia–Davis inequality and others) into variance bounds or similar, see here for sort of a survey.

It doesn't make sense to include the Popoviciu's inequality article created by Shreevatsa in anything called "variance bounds", since that's not what it's about. Michael Hardy (talk) 22:55, 26 August 2009 (UTC)

Well, I meant Popoviciu's inequality on variances. (Igny (talk) 22:58, 26 August 2009 (UTC))

You suggested merging "these" inequalities. The word "these" is plural; it implies more than one. I thought you meant the two inequalities attributed in the article titles to Popoviciu. So now it's unclear what you meant by "these". Michael Hardy (talk) 23:20, 26 August 2009 (UTC)

Type theory articles of interest to mathematicians

Apparently, I've managed to convince at least one mathematician that type theory as used in computer science, and programming languages in particular, is "the same" as the one from mathematics. Since computer scientits "took over" type theory in the '70s by greatly expanding the topics that they consider to be part of this theory, I've suggested during that discussion that a {{distinguished subcategory}} be created to flag those articles that are also (or especially) of interest to mathematicians, so they wouldn't have to wade through that many computer science related topics. Since you seem to have the time to go through type-theory-related articles (wikistalking!), perhaps you could make that subcategory and add the appropriate articles to it. I wouldn't dare decide what is and what isn't of interest to mathematicians from Category:type theory. (Initially Arthur Rubin wanted disjoint categories for math and CS type theory. As far as I can tell he's not interested in following up on the discussion anymore.) Thanks, Pcap ping 07:47, 28 August 2009 (UTC)

By the way, wanna laugh your socks off at the impertinence/ignorance of some computer scientist? (I can't believe that Springer let that book get published with the claim sticking out in a box like that, not in some obscure footnote...) Pcap ping 08:12, 28 August 2009 (UTC)

He probably "missexpressed" himself given that English is not his native language. On the next page he does give credit to mathematicians for inventing the concept. He's actually quite clueful later in that he explains that the concrete implementation of a type as done in implementations of programing lanuges is a model of a type. And he gives models other than sets, e.g. Dana Scott's lattices. Pcap ping 09:30, 28 August 2009 (UTC)

I am considering writing an article on type (type theory) because data type is currently linked in most type theory articles instead of just "type" even in really odd contexts like function types. "Data type" means different things to different people. The definition we have at data type is actually that of an abstract data type, (which has existential type), or rather just a set model thereof, so it's quite unsuitably linked in many places. Pcap ping 09:30, 28 August 2009 (UTC)

By the way, if look at the source cited in our article on data type, you'll see how misleading our article is. It changed "Data type as set of values with set of operations", which is a topic amongst others in type theory (different models exist) to "A data type is a set of values and the operations on those values." Many article on computer science around here are way more sloppy and misleading than that, so I'm not really surprised. Pcap ping 09:38, 28 August 2009 (UTC)

Carleson's theorem

Hey, thanks for your edits at Carleson's theorem - the typesetting looks much better now, without great bulges on certain lines. I had experimented with scriptstyle/textstyle commands to achieve this goal, but with little success, and I hadn't realised that the HTML equivalents available were as extensive as they seem to be. I was just wondering if you had information on how widely supported (operating system/web browser-wise) some of these symbols are? (and apologies if this is just a newbie question) I found the article Misplaced Pages:Mathematical_symbols now, which is helpful, but while it states at the top that the symbols given should work on "most browsers", WP:MOSMATH even suggests as an example that it might be wise to avoid the use of ∈ for compatibility reasons (under "Special symbols"). Do you have any further information? Thanks! Tcnuk (talk) 09:13, 29 August 2009 (UTC)

Error

Thank you for picking up my error and replacing it with something suitable. It was completely absurd, yes. I just saw an image wanting of a caption and added something brief based on what I thought I was seeing in the diagram. I'll attempt to be more careful in future. Best, —Anonymous Dissident 16:24, 31 August 2009 (UTC)

Thanks (mostly) for edits of "Product Integral"

Hi Michael

Thanks for your edits of Product Integral ... mostly. I disagree with your thoughts on type III (dx-less) product integrals, but am not in a position to argue the case. Perhaps in the future.

Regards,

Daryl Williams (talk) 01:30, 2 September 2009 (UTC)

You're welcome.

I don't think I ever saw the "Type III" integrals; I came along long after those were expunged from the article. I looked at the history and they didn't look quite right as they stood, but I'd have to think about that further. (Actually, the limit looked as if it would always diverge in any reasonable casses. Maybe that can be fixed by rephrasing it somehow—I don't know.) Michael Hardy (talk) 02:10, 2 September 2009 (UTC)

about parentheses

Dear Michael, I have a question of wiki-style:

${\displaystyle \textstyle \log(x)}$ vs ${\displaystyle \textstyle \log \,x}$

${\displaystyle \textstyle \mathrm {Re} {(\alpha )}}$ vs ${\displaystyle \textstyle \mathrm {Re} {\,\alpha }}$

and so on. Using both in the same article according to aesthetics is acceptable? I found no clue in the MOS, but I see you are quite careful in these matters, so I'd like to hear your opinion. My point is that in some cases parentheses are just too many... Best, --pma (talk) 12:51, 7 September 2009 (UTC).

I don't have strong preferences between the two forms above when taken out of context, but I think in some contexts I would prefer one or the other. Michael Hardy (talk) 19:50, 10 September 2009 (UTC)

My bad

Regarding my recent edit of that article that used to be about detecting imaginary roots of a quadradic, sorry for my error and thank you for pointing it out to me.

You are doing a great job, keep up the good work. I never thought that this article contained very much in the way of original research, and like others I seem to remember a high school algebra teacher explaining about how when the parabola did not touch the x axis, that this meant that the intersection was imaginary. Maybe it was a circle and a line, I can't be sure, but he seemed to be arguing in a graphical manner for the existence of imaginary numbers.

A concept that I really did not appreciate at the time.

TeamQuaternion (talk) 01:52, 8 September 2009 (UTC)

Order Dab

It's truly a shame that you are involving yourself in that matter without understanding Dab & MoSDab beyond the point where you have to ask about {{SIA}}. We have colleagues who may choose to remedy that, but even if your tone and manner inclined to me to doing so, i'm flying to the Alps today, and it is a truly attractive prospect that i'll have forgotten this matter existed before a realistic temptation to do anything about it can arise.
--Jerzy•t 17:35, 9 September 2009 (UTC)

OMGWTFBBQ, Michael Hardy, you've lived all your life for nothing. You don't even being to comprehend the depths of WikiProject:Disambiguation, seee-yaaa from the ALPS. Sorry, I could not resist. Pcap ping 18:08, 9 September 2009 (UTC)

You could have just pointed Michael to WP:SETINDEX instead... Pcap ping 18:24, 9 September 2009 (UTC)

Whatever may be the facts concerning "SIA" and WikiProject Disambiguation, the result that Jerzy brought about was irrational and perverse. If we should have a list of organizations called "orders", it seems clear that we should not achieve that result by moving the order disambiguation page to that title and then deleting all of its contents and writing that new page over it. Michael Hardy (talk) 01:40, 10 September 2009 (UTC)

Covariance

Hi, I was wondering if you could provide me a brief explanation of why you deleted the example computation of covariance? I would like to fix the errors. I am referring to the page as it looked on this date:

http://en.wikipedia.org/search/?title=Covariance&oldid=307487127

Awaterl (talk) 08:01, 12 September 2009 (UTC)

The example is written in such a way that I have to guess what was meant, and if construed literally is quite badly wrong. First it says

Take the two random variables to be:

${\displaystyle {\color {blue}X}={\begin{bmatrix}x_{1}\\x_{2}\\x_{3}\\x_{4}\end{bmatrix}}={\begin{bmatrix}\color {blue}1\\\color {blue}2\\\color {blue}3\\\color {blue}4\end{bmatrix}}\qquad {\color {red}Y}={\begin{bmatrix}y_{1}\\y_{2}\\y_{3}\\y_{4}\end{bmatrix}}={\begin{bmatrix}\color {red}3\\\color {red}3\\\color {red}4\\\color {red}3\end{bmatrix}}}$

At first it looks as if random vectors is meant. In that case the covariance would be a 4×4 matrix. Then it looks as if what is meant is constant random vectors. In that case the covariance would be the 4×4 matrix of zeros. Finally after taking the whole thing in to account, I begin to suspect that what was intended was that the two random variables take values equal to the four components in the random vector with equal probabilities. Finally, it seems to be saying the expected value of a random vector is a scalar. What was actually meant was the average of the components of the vector. When working with data sets consisting of finitely many discrete observations, that sort of matrix notation is used, but I've never seen the expectation operator used in that way. I think once I've deciphered it, I can see that the computation is correct, but it not only requires deciphering, but also is wrong if the notation is construed in the usual ways. Michael Hardy (talk) 15:12, 12 September 2009 (UTC)

Uniqueness for Weierstrass transform

If F(t) is a constant function F(t)=c, is it true that f(t)=c almost everywhere? I guess more generally that if F1 and F2 are the transforms of f1 and f2 and F1=F2, then f1=f2 almost everywhere, but for what I'm doing, I only need the simple case where F is a constant. It seems to be true by applying the inverse of the transform, but the article is not clear about when the inverse exists. Is there a formal theorem that would apply?John Lawrence (talk) 15:33, 14 September 2009 (UTC)

Your second statement is correct if it holds when F1 = 0. I believe that is correct, and I suspect if I thought about it for a few minutes, I could give either an argument or a link to a Misplaced Pages article where it's found. Michael Hardy (talk) 01:50, 15 September 2009 (UTC)

I suspect your first proposition (and maybe your second) follows from an exercise in William Feller's famous book on probability. Michael Hardy (talk) 01:50, 15 September 2009 (UTC)

User:Linas

I hate to give the impression of canvassing, but Linas is clearly not going to listen to editors/admins he does not have much respect for. Perhaps you could have a word with him and advice him to calm down and stop using invectives that will only get him blocked or even banned? Linas already got blocked, block extended, and locked from his talk page too, plus there's already an ANI thread where some asked for his banishment. I already asked User:CBM to contact Linas, but then I recalled Carl wants to avoid the appearance of cabalism amongst Math editors, so he might choose to stay uninvolved. Thanks. Pcap ping 19:47, 14 September 2009 (UTC)

Thanks

Thanks for your helpful comments on the Inverse bundle! I now see the point of these vague descriptions at the beginning of mathematical articles. Cheers Guygurari (talk) 11:58, 16 September 2009 (UTC)

Equation arrays

How might one include an equation array in Misplaced Pages? In LaTeX I would type

\[ \begin{eqnarray*} 
a &=& bc \ , \\
b &=& cd \ .
\end{eqnarray*} \]

to get an unenumerated equation array. Where the ampersands surrond the things on each line which will be lined up in the final output. I've tried to use the eqnarray and eqnarray* enviroments on Misplaced Pages, but it won't compile. Any suggestions? ~~ Dr Dec (Talk) ~~ 15:39, 17 September 2009 (UTC)

Minnesota Meetup

---

2009Proposed date: Saturday, October 10.
Details under discussion.
Please share this with anyone who may be interested.

---

Delivered by Jonathunder (talk) 21:33, 18 September 2009 (UTC)

Mergeto

Thanks for your note, resolved. Rich Farmbrough, 22:56, 18 September 2009 (UTC).

Referencing

Hi Michael Hardy/Archive7! An article you have been involved with has been tagged as being in need of further sources to avoid being deleted. If you can help with these issues please see Talk:Double-barrelled name.

Theorem of repeating decimal

Please refer to Talk:Repeating_decimal#Theorem of repeating decimal. What is your opinion?--Ling Kah Jai (talk) 13:05, 23 September 2009 (UTC)

Re: Page move

It's to name it like other similar articles; they can be seen in the Introductions category. They are all named in a similar fashion. But yes, I have indeed given the article an incorrect title, and have now renamed it accordingly. Gary King (talk) 03:05, 25 September 2009 (UTC)

dx

Hello there. I understand your post about the definition of dx not making sense in terms of integration. For computational purposes I agree that dx should be treated like an infinitesimal quantity. This is adequate enough for someone who has started learning calculus. However, for someone like me who is sufficiently familiar with calculus and yet has not gone up the level of differential forms etc, I believe that using dx makes no sense in regard to differentiation and integration. Differentiation can very well be done without any reference to things like dy and dx, and in integration we merely need the fundamental theorem of calculus. (dx might denote the measure function or independent variable but that's all.) The only place we seriously encounter dx is in differential equations and they make sense if I take Anton's definition of dx being a variable. So I feel that at the amateur level this definition is somewhat useful.

After having said all that let me add that I am a mathematical novice and your opinion will be of the highest value for me. Regards--Shahab (talk) 08:42, 9 October 2009 (UTC)

Talkback

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Empirical mean?

I guess you're the one who first made it redirect to sample mean? It now points to arithmetic mean. Anyway, could you pls have a look at this question on its discussion page. Because that plea had inspired only one (not particularly helpful) reply ages ago, I tried to obtain a better one with this note to its author, User:Igny:

(Sorry this is nearly a year old, but...) in talk:arithmetic mean#empirical mean I seconded Hv's objection to an unexplained redirect. Consider the situation of a Misplaced Pages user who is reading the article on principal component analysis or the one on empirical measure and encounters the term empirical mean but is unfamiliar with it. Such a user would likely click through the link and find himself inexplicably confronted with an article not about emprical means, but about arithmetic means.

Your reply to our perplexity was a suggestion to read about empirical measures. The first problem with that reply is that, residing as it does on a talk page, it will likely never be seen by our hapless user. A further problem is that even the article to which you referred us does not unambiguously define empirical mean. And the worst problem with your suggestion is that the empirical-measure article may well be where some of our hapless users encountered the unfamiliar term to begin with!

I'd fix the problem if I thought myself qualified, but I don't. So I'm appealing to you to do so. Could you please edit the arithmetic mean article to make clear (1) why any user expecting to land on an article about empirical means ends up here instead and (2) the meaning of empirical mean, or at least the relationship between empirical and arithmetic means.

Thanks in advance.—PaulTanenbaum (talk) 01:59, 3 September 2009 (UTC)

No dice. Could you by any chance help to patch this gap? Regards.—PaulTanenbaum (talk) 16:19, 13 October 2009 (UTC)

Well, thanks for repairing the redirection. But the other problem remains. People reading various articles who encounter one term (namely empirical mean) and click on it to learn more will still find themselves dumped at an article about a different term—now instead of wondering if the term is synonymous with arithmetic mean they get to wonder whether it's a synonym for sample mean.

Request... could you either add something like "also known as empirical mean" in the first line of the article on sample means or else add some explicit discussion of the similarities and differences between these two topics that we are left to infer do bear some mutual affinity.—PaulTanenbaum (talk) 12:42, 16 October 2009 (UTC)

Talkback

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Skittleys (talk) 09:45, 14 October 2009 (UTC)

Super-root

As you have recently contributed to the article and seem to have enough knowledge on the subject to make a fair judgement on whether it's notable or not, you may have an opinion of its suggested merge with tetration. If you do please discuss it here, as the consensus currently seems to be in deadlock, and this is causing a large edit war across both articles. Robo37 (talk) 18:31, 20 October 2009 (UTC)

Question for you

at Talk:Faà di Bruno's formula. Dewey process (talk) 22:39, 31 October 2009 (UTC)

Re: Too much TeX

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(Actionable reply, if you could comment – thanks!)

Merger of Sudbury Valley School and Sudbury school

I have proposed the merging of Sudbury Valley School into Sudbury school. If you would like to vote on the merger, please visit Talk:Sudbury school#Merger Two. PYRRHON  talk   19:03, 11 November 2009 (UTC)

Talkback: Indecomposable

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clarification

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Balanced prime

Thanks for weighing in at Inset number. For unclear reasons I typed 47 instead of 53 as second term into OEIS...Nevertheless, we do have a fair stub at Balanced prime and this name is uncommon, so I took the opportunity to delete it per the brand new speedy deletion criterion A10 that i actually opposed. If you have further comments on the article, the deletion or the CSD, let me know or comment at the appropriate talk page.--Tikiwont (talk) 15:08, 30 November 2009 (UTC)

Talkback: Harish-Chandra

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Suggested changes to Monty Hall problem

You are invited to join the discussion at talk:Monty Hall problem#Changes suggested by JeffJor, Martin Hogbin, and Glkanter. Rick Block (talk) 04:09, 3 December 2009 (UTC) (Using {{Please see}})

Re: Misplaced Pages:Articles for deletion/Catalog of articles in probability theory

Hi, Could you please reconsider the tone of your posting at the above AfD, I found it a little rude. I'm sure that wasn't your intention. Also, could you please remove the long list of other articles that haven't been nominated for deletion, as it disrupts the conversation and makes replies to your questions difficult, and note that the article in question is "Catalog of articles in probability theory", not "List of mathematics topics". The problem I had with the article is that it cannot be edited in the usual way due to a notice on the page and a bot which edits the article based on markup on the talk page (hence non-standard). This isn't compatible with our editing policies. However, I have removed this restriction (see the previous lead on the article) and proposed a compromise and I am more than willing to withdraw my nomination. If after you have removed the long list you leave your questions I will answer them at the AfD. Thanks, — Preceding unsigned comment added by Verbal (talk • contribs)

"The problem I had with the article is that it cannot be edited in the usual way due to"

...and a problem I have with your nomination of this article for deletion is that you nowhere explained in your proposal for deletion that there is any problem with editing. You should make your case in your proposal. Michael Hardy (talk) 17:17, 6 December 2009 (UTC)

I seem to have annoyed you, and that was not my intention. I myself removed the restriction after some comments on the AfD made clear that the bot wouldn't break the article, and I was yet to post about this at the AfD (due to real life getting in the way). Please see the old lead which explicitly banned normal editing. I'd rather you didn't refer to me as "Verbal", but simply Verbal. Feel free to ask me questions on my talk page. Thanks, Verbal chat 17:30, 6 December 2009 (UTC)

I wouldn't have guessed that there was a problem with manual editing by reading your deletion proposal; it looked as if you simply wanted to delete an article because it looked a bit unusual to you. Michael Hardy (talk) 21:11, 6 December 2009 (UTC)

Pentti Linkola

I noticed that you did some work on this article, and would like to expand it to include his recommendation (in Can Life Prevail) that the UN develop hit squads to target large urban population centers (with neutron bombs as I recall), and also the discussion on the 9/11 terrorists being "superior moral human beings" for their actions. Understanding that this is a BLP, that NPOV is important, and that including secondary sources is nearly impossible as they are difficult (at best) to find, what is your feeling on this? Nobody's M P (talk) 16:54, 7 December 2009 (UTC)

I had thought the reason for using secondary rather than primary sources was to indicate that a concept is in standard use, rather than only that the original author used it. That doesn't seem to apply to a situation like this. But I'm not really familiar with the discussions on that. If you can cite reliable sources showing that he proposed those things, I think they should be included. Michael Hardy (talk) 16:58, 7 December 2009 (UTC)

Help with dermatology-related content

I am looking for more help at the dermatology task force, particularly with our new Bolognia push 2009!? Perhaps you would you be able to help us? I could send you the login information for the Bolognia push if you are interested? ---kilbad (talk) 01:07, 9 December 2009 (UTC)

Fourier transform on finite groups

I have some questions about the Fourier transform on finite groups article, and since you have edited every math-related article on Misplaced Pages, I decided to ask you.

What are the irreducible representations of G? Irreducible representation redirects to Simple module, which, despite being English, I have trouble understanding. I can guess – but if I guessed right, then there shouldn't be any ${\displaystyle d_{i}}$ in the inverse formula. It's supposed to be the "degree" of the representation, which is supposed to be the size of the matrix, according to Fourier transform on finite groups. Considering the elements expressed as permutation matrices over the set of group elements, diagonalized into block-diagonal matrices and calling each block-diagonal matrix a representation of the element, the given formula becomes correct if the ${\displaystyle d_{i}}$ is omitted from the inverse. (Sorry if my use of the terminology is incomprehensible.)

As an example of what I'm arbitrarily guessing I'm supposed to do, the dihedral group D₄ has generators m, n, where m = n = (mn) = I. The action of m and n on the set (I, m, nmn, nmnm, n, nm, mn, mnm) is then:

${\displaystyle m={\begin{bmatrix}0&1&0&0&0&0&0&0\\1&0&0&0&0&0&0&0\\0&0&0&1&0&0&0&0\\0&0&1&0&0&0&0&0\\0&0&0&0&0&0&1&0\\0&0&0&0&0&0&0&1\\0&0&0&0&1&0&0&0\\0&0&0&0&0&1&0&0\end{bmatrix}},n={\begin{bmatrix}0&0&0&0&1&0&0&0\\0&0&0&0&0&1&0&0\\0&0&0&0&0&0&1&0\\0&0&0&0&0&0&0&1\\1&0&0&0&0&0&0&0\\0&1&0&0&0&0&0&0\\0&0&1&0&0&0&0&0\\0&0&0&1&0&0&0&0\end{bmatrix}},P={\frac {1}{\sqrt {8}}}{\begin{bmatrix}1&1&1&1&1&1&1&1\\1&1&1&1&-1&-1&-1&-1\\1&-1&-1&1&1&-1&-1&1\\1&-1&-1&1&-1&1&1&-1\\2&0&0&-2&0&0&0&0\\0&2&-2&0&0&0&0&0\\0&0&0&0&2&0&0&-2\\0&0&0&0&0&2&-2&0\end{bmatrix}}}$.

The matrices PmP and PnP are block diagonal with 4 1x1 blocks and 1 4x4 block. Are the irreducible representations of D₄ (reading the blocks of PmP and PnP):

${\displaystyle \rho _{1}(m)={\begin{bmatrix}1\end{bmatrix}},\rho _{1}(n)={\begin{bmatrix}1\end{bmatrix}}}$

${\displaystyle \rho _{2}(m)={\begin{bmatrix}1\end{bmatrix}},\rho _{2}(n)={\begin{bmatrix}-1\end{bmatrix}}}$

${\displaystyle \rho _{3}(m)={\begin{bmatrix}-1\end{bmatrix}},\rho _{3}(n)={\begin{bmatrix}1\end{bmatrix}}}$

${\displaystyle \rho _{4}(m)={\begin{bmatrix}-1\end{bmatrix}},\rho _{4}(n)={\begin{bmatrix}-1\end{bmatrix}}}$

${\displaystyle \rho _{5}(m)={\begin{bmatrix}0&1&0&0\\1&0&0&0\\0&0&0&-1\\0&0&-1&0\end{bmatrix}},\rho _{5}(n)={\begin{bmatrix}0&0&1&0\\0&0&0&1\\1&0&0&0\\0&1&0&0\end{bmatrix}}}$, or am I guessing wrong? If my guess is right, then erasing ${\displaystyle d_{i}}$ from the inverse gives the right result. I can't find an easily understandable article which says clearly what to do, so I'm guessing.

Thanks – Κσυπ Cyp   23:55, 10 December 2009 (UTC)

Hmmm, it seems I'm not that good at diagonalizing sets of matrices... My ${\displaystyle \rho _{5}}$ could be simplified to two identical blocks of ${\displaystyle \rho _{5}(m)={\begin{bmatrix}1&0\\0&-1\end{bmatrix}},\rho _{5}(n)={\begin{bmatrix}0&1\\1&0\end{bmatrix}}}$, which is consistent with the ${\displaystyle d_{i}}$ factor in the article. If each block of NxN matrices happens to be duplicated N times for some reason I don't yet understand, then it would explain the need for the ${\displaystyle d_{i}}$ factor... In which case there isn't any question left for you to answer. Κσυπ Cyp   17:36, 11 December 2009 (UTC)

I haven't worked on every math article, and this one isn't my strongest point. But if you take it to Misplaced Pages:Reference desk/Mathematics, you'd probably get some reasonable replies fairly quickly. Michael Hardy (talk) 20:14, 11 December 2009 (UTC)

Regarding move

This edit undid User:Good Olfactory's move. I strongly agree with your version of the title. The MOS:ENDASH section of the manual of style clearly needs to be adjusted. Sławomir Biały (talk) 02:43, 11 December 2009 (UTC)

Too many capital letters

On my user page you commented:

Please look at this edit. Misplaced Pages:Manual of Style clearly requires lower case in this context. Michael Hardy (talk) 02:07, 12 December 2009 (UTC)

I salute the effort to make such corrections. I also applaud the provision of a link to the source of motivation for the change. As a robot who feels no human emotion, I'm all down with that. :P

But as a meta-comment, I'd say that one has to be a little careful of turning off sincere human editors with a personally-directed nitpick. If you look at the meat of my changes, I rewrote an entire introduction to make it clearer: see changes. You changed exactly 4 characters. I may think that's a good change, but still...a lot of wiki is about how we motivate each other. And I'm especially concerned about how new users (who are sensitive to criticism) would feel if they had made such an edit and that's all the feedback they got! Alas...

So thank you for the correction. But I think in my case (and the case of anyone who's been around wiki a while) you can just make the change and document the "why" in the changelog, we'll see it and absorb it there. The user talk page is a better place to emphasize how grateful we are to each other for making the whole thing better, with a little bit of "hey, check out this link, it may help in the future" tacked on.

Best, Meta Metaeducation (talk) 09:08, 12 December 2009 (UTC)

Orbital integral

Actually, I tajgged it as being like an essay or personal reflection. It looked like an essay do I tagged it - simple. Jezhotwells (talk) 12:41, 15 December 2009 (UTC)

Fundamental lemma of Langlands and Shelstad

I find that edit odd too. I was trying to move a full stop before references and may accidentally have edited an old version. I am not attached to the content. --Rumping (talk) 20:53, 15 December 2009 (UTC)

Talkback

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Intelligentsium 01:06, 24 December 2009 (UTC)

?

Hello, why you change the name of the articles ? — Neustradamus (✉) 21:51, 29 December 2009 (UTC)

Today I moved Victor White to Victor White (flying ace) for the purpose of distinguishing him from another person with that name, and in order to make Victor White into a disambiguation page. I also moved a couple of articles that began with the words "Diffie-Hellman" to titles beginning with "Diffie–Hellman", because Misplaced Pages:Manual of Style prescribes that way of using dashes. Michael Hardy (talk) 23:00, 29 December 2009 (UTC)

ANI

You are mentioned at the Administrators' noticeboard. ZooFari 07:18, 31 December 2009 (UTC)

I clicked on the link you provided and it doesn't link to anything that mentions my name. Please try again. Michael Hardy (talk) 07:20, 31 December 2009 (UTC)

Scroll down. ZooFari 07:23, 31 December 2009 (UTC)

It's Misplaced Pages:Administrators' noticeboard#User:Michael Hardy and frankly yor remarks in both links appear to be somewhat condescending. While I have no idea what promted your remarks, the aim is to rise above any provocation. Enter CambridgeBayWeather, waits for audience applause, not a sausage 07:38, 31 December 2009 (UTC)

Hola :)

Español: Hola amigo wikipedista podrias mejorar el articulo Deysi Cori (This appears to be English Misplaced Pages's first article created in the year 2010). Saludos Globalphilosophy (talk) 01:29, 1 January 2010 (UTC)

Double redirects

Thanks for the information (and help) concerning double redirects. Ulner (talk) 18:24, 2 January 2010 (UTC)

Mathematics#How_to_factorise

Hi Michael. Feel free to argue against me, but please keep cool and do not call me (nor anybody else) silly. Regards. Bo Jacoby (talk) 23:19, 3 January 2010 (UTC).

I called some particular comments of yours silly. That is how they appear to me. Michael Hardy (talk) 23:28, 3 January 2010 (UTC)

Nevertheless, it is out of order. And unfair too. I might have given the OP (and even you) some new information. Some mathematicians avoid solving algebraic equations if possible, not noting that numerical factorization of a polynomial is very easily done by computer. Bo Jacoby (talk) 14:46, 4 January 2010 (UTC).

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What is part of mathematics

Michael, you may be interested in the following discussion, Misplaced Pages talk:WikiProject Mathematics#Computational complexity theory as part of "mathematics". Thanks. Oleg Alexandrov (talk) 17:11, 5 January 2010 (UTC)

Why plural?

Yes, thanks. My error. I have corrected it. --Epipelagic (talk) 18:54, 7 January 2010 (UTC)

MOS:HYPHEN

Michael, I left you a reply (in agreement with you) at Talk:Open_source_software#Move. I hope the consensus is that such controversial changes can be undone. 91.187.66.243 (talk) 23:18, 7 January 2010 (UTC)

I would like a debate — Neustradamus (✉) 23:36, 7 January 2010 (UTC)

If anyone objects to the proposed move, and remains silent about their objections for more than three months after it's proposed on the talk page, then the only way they're going to be drawn into a debate is to actually move the page. Since no one's objected after more than three months, I've gone ahead and moved it. Of course, starting a debate was not my reason for moving it, but if anyone wants a debate, maybe this is what will bring that about. Michael Hardy (talk) 23:51, 7 January 2010 (UTC)

Well done. I see the user I hadn't mentioned here by name, has now popped up here too. Unfortunately, as you will see from his recent contributions, Neustradamus (talk · contribs · deleted contribs · logs · filter log · block user · block log) has been unhelpfully removing hyphens from a lot of other articles containing adjectival phrases that should be hyphenated, e.g."free software licence" etc. It would be a lot of work manually undoing his edits using the Undo button, and obviously, I don't have access to the efficient admin-only revert tools. Would you mind going over his recent contributions to revert the changes? Thanks. 91.187.66.243 (talk) 00:27, 8 January 2010 (UTC)

OK but have you see the revert ? Compare the license name after and before ? Now there is for example: "The GPL requires any derivative work that is released to be released according to the GPL while the BSD licence does not" (If I see a good license source : http://www.opensource.org/licenses/bsd-license.php it is license) and other ... so we must put the good name, you are not okay with me ? — Neustradamus (✉) 00:42, 8 January 2010 (UTC)

Sorry, I find it very difficult to communicate with you because of your poor English. You seem to be either ignoring or not understanding what everybody has already told you on your talk page and elsewhere. What is your point? 91.187.66.243 (talk) 00:53, 8 January 2010 (UTC)

It is strange, only you have a problem, it is clear, before there are good license names and after not (it is only a "c"/"s" problem if you do not see) — Neustradamus (✉) 01:02, 8 January 2010 (UTC)

I'm not sure "revert" is more efficient than "undo" (but let me know if I'm missing something). As far as I know, it has to be done with each article separately. Michael Hardy (talk) 00:33, 8 January 2010 (UTC)

I vaguely remember reading somewhere once upon a time that there is an admin-only mechanism for reverting en masse an editor's edits within a specified range of dates and times, but I am probably wrong about that. I'll just have to undo his edits manually. Thanks anyway. 91.187.66.243 (talk) 00:39, 8 January 2010 (UTC)

Possibly you are right but I haven't used that. Michael Hardy (talk) 00:43, 8 January 2010 (UTC)

For what it's worth, the tool turned out to be (admin) WP:ROLLBACK. 91.187.66.243 (talk) 12:59, 8 January 2010 (UTC)

...and as I've said, as far as I know, rollback works only one article at a time. Michael Hardy (talk) 18:23, 13 January 2010 (UTC)

Yes, although this apparently works as an addon that can automatically revert all of the edits listed on any page of Special:Contributions/Username. 91.187.66.243 (talk) 21:57, 13 January 2010 (UTC)

Which just got used on this very talk page. Pcap ping 13:28, 8 January 2010 (UTC)

OK because before I was a vandal or a bad guy... for information I added a reference "(or free software licence in commonwealth usage)", but the article is not good yet... but now it is in progress — Neustradamus (✉) 00:53, 8 January 2010 (UTC)

Now it is clear for you about open-source, this conversation has been of some improvement :) now you can rename:

• List of free and open-source software packages (done)
• Free and open-source software
• Open-source license (done)
• Open-source hardware (done) — Neustradamus (✉) 01:16, 8 January 2010 (UTC)

but I see Open Source on the official Open Source Initiative website : http://www.opensource.org/licenses — Neustradamus (✉) 01:27, 8 January 2010 (UTC)

That others do not know how to punctuate is not sufficient grounds for repeating their errors.—PaulTanenbaum (talk) 14:28, 12 February 2010 (UTC)

Predicting number of items in a set

For your information, see Misplaced Pages:Reference_desk/Archives/Mathematics/2010_January_6#Predicting_number_of_items_in_a_set_.28statistics.29.

Regards Bo Jacoby (talk) 13:03, 13 January 2010 (UTC).

diagonalizing a matrix?

Michael,

A question -- Suppose I had a plain-old ordinary matrix A with matrix elements A_ij such that A_ij = f(i*j) for some function f, and i*j is simply the ordinary product of the two indexes ... this is a symmetric matrix -- are there any "well known" theorems that can be applied to such a beast, beyond that which normal symmetric matricies might have? Anything that can be said about its eigenvalues, or the act of diagonalizing such a thing? I need a kick to get my brain started thinking about this -- I think I once saw something, but can't remember what. Thanks linas (talk) 23:08, 14 January 2010 (UTC)

AfD nomination of Gravity set

An editor has nominated one or more articles which you have created or worked on, for deletion. The nominated article is Gravity set. We appreciate your contributions, but the nominator doesn't believe that the article satisfies Misplaced Pages's criteria for inclusion and has explained why in his/her nomination (see also Misplaced Pages:Notability and "What Misplaced Pages is not").

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Please note: This is an automatic notification by a bot. I have nothing to do with this article or the deletion nomination, and can't do anything about it. --Erwin85Bot (talk) 01:12, 16 January 2010 (UTC)

Unreferenced BLPs

Hello Michael Hardy! Thank you for your contributions. I am a bot alerting you that 1 of the articles that you created is tagged as an Unreferenced Biography of a Living Person. The biographies of living persons policy requires that all personal or potentially controversial information be sourced. In addition, to ensure verifiability, all biographies should be based on reliable sources. If you were to bring this article up to standards, it would greatly help us with the current 8 article backlog. Once the article is adequately referenced, please remove the {{unreferencedBLP}} tag. Here is the article:

1. Richard Milner (fiction writer) - Find sources: Google (books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL

Thanks!--DASHBot (talk) 20:09, 16 January 2010 (UTC)

Move to 1947–48 Australia rugby union tour of the British Isles, Ireland, France and North America

I have moved this back to the original name. The British Isles includes Ireland whereas Britain does not. The article could arguably have British Isles in the title and omit Ireland but this would cause problems from the Irish. This naming has previously been discussed by WP:RU. noq (talk) 01:06, 20 January 2010 (UTC)

The main purpose of the move was to change the hyphen to an endash. The hyphen is incorrect according to WP:MOS. Michael Hardy (talk) 05:19, 20 January 2010 (UTC)

... I see: you've moved it to a new title it never had before, with an endash rather than a hyphen. Michael Hardy (talk) 05:23, 20 January 2010 (UTC)

Talk:Cantor's first uncountability proof

I hope you don't mind that I closed the discussion thread at Talk:Cantor's first uncountability proof between you and an IP editor. Of course you can unclose it if you would like, but it seems to me that the discussion is going downhill, rather than uphill, with more conceptual misunderstandings rather than fewer, and the IP editor's remarks are becoming more personally directed. — Carl (CBM · talk) 13:01, 22 January 2010 (UTC)

Isosceles triangle theorem and Logic Theorist

Just a heads up, I read the reference (see ) you gave for the Logic Theorist proving the Isosceles triangle theorem and it didn't seem to me that it said what you added to the article, see the talk page for details. I blanked the section since it seemed like the actual story was rather boring, but maybe I'm misreading it. The article in general is still a work in progress since the proofs are mess, I'm working on them though.

Also, I largely rewrote and expanded pons asinorum which is closely related. There are a few nicely worded phrases that I can't take credit for though. See the talk there for why I didn't merge the articles.--RDBury (talk) 00:12, 24 January 2010 (UTC)

<math> versus html_versus_html-2010-01-27T06:33:00.000Z">

Dear Michael, I have noticed your inline typographical corrections to some of the articles I have recently edited, like changing ${\displaystyle z\in D}$ to z ∈ D. I had earlier tried to work with this html style, but then switched to just using <math> all the time, for two reasons:

1. The html looks disgusting, not balanced (for me) by the fact that its size fits the text more (though is often still not perfect). Actually, since some inline math formulas cannot be substituted by html, the sizes and shapes of math symbols vary all the time, which is really a huge problem, I think.

2. Learning and remembering the html encryption and the pain to decipher what others wrote do not seem worth the time and energy of the editors. I'm not actually capable of reading your html edits, and I'm pretty sure there are many mathematicians who don't contribute to Misplaced Pages because of such (real or imagined) barriers.

Instead of coming up with innovative ways of making more readable html substitutes for math, like the crazy ƒ for ${\displaystyle f}$, we should all use <math> just as $ in TeX, and hope that soon someone will fix this problem with html. In a year or 50, but it should eventually happen. Using <math> all the time might bring the date of the solution closer, since it will be more obvious to more people that something is to be fixed.

Of course, you might disagree with my first point, that's a matter of personal taste, but the fact that you actually changed my edits suggests to me that there might be some strong style consensus about this matter. Is there anything like that? That consensus should obviously be questioned, then... :-) Maybe I should bring this up on the project page? And may I just revert your edits? (Of course, I would put back the other changes you made, like intro sentence structure.)

Thanks, --GaborPete (talk) 06:33, 27 January 2010 (UTC)_versus_html"> _versus_html">

OK, I see what Misplaced Pages:Manual_of_Style_(mathematics) says about the issue: try to use html when possible, but do not rewrite other editors' texts, because it seems to be a highly emotional issue. It is... :-) --GaborPete (talk) 06:05, 8 February 2010 (UTC)

helping with wikiproject statistics; odds page

Hi Michael,

Thanks for all the work you clearly put into math and statistics! I've been using wikipedia for years as a resource in both of those areas, and find it very helpful.

I do sometimes find things in statistics articles that seem unclear (especially for a layperson) or, less frequently, erroneous. For instance- the odds article has mistakes, as well as overlap with other articles. However, I'm hesitant to edit b/c my knowledge of statistics and probability are very limited, and I'm brand new to editing wikipedia.

If one jumps in and changes things in reasonably basic stat/probability articles, are false or poorly done edits generally noticed and repaired quickly? If not, what would be the fastest/best way to make a suggestion for an edit known to more experienced editors who could verify that what I'm saying makes sense, and that it fits with the organization of statistics coverage that the current stat editing core has in mind?

More broadly, I'm interested to learn more about wikiproject statistics and how an amateur stat enthusiast could get involved.

Thanks, Kathryn Tzvia (talk) 12:22, 28 January 2010 (UTC)

Hello. Possibly posting at Misplaced Pages talk:WikiProject Statistics, or in some cases at Misplaced Pages talk:WikiProject Mathematics, would be the best way to run suggestions past others. In many cases the articles own talk page could also be used. How well the latter approach would work may depend on how many people are watching the article. Michael Hardy (talk) 15:00, 28 January 2010 (UTC)

PI-ring

Hi, can you do that magic that eliminates the < m a t h > tags in the article polynomial identity ring ?  franklin  19:58, 30 January 2010 (UTC)

Especially those places where there is a subset symbol are terrible.  franklin  20:00, 30 January 2010 (UTC)

It seems, franklin, you don't agree with my view, two comments above, that html is worse than <math>... In the polynomial identity ring article, I can understand the complaint, but I still think this is not a good enough reason to use html... Also, I think that the typesetting Z<X₁, X₂, ..., X_N> in the lead of that article is unacceptable for two reasons: 1. it starts with the inequality Z<X_1, not with an opening bracket of any sort; 2. what is Z? Looking at the link free algebra, my guess is it's the integers, but I'm not sure. So, definitely ${\displaystyle \mathbb {Z} \langle X_{1},X_{2},\dots ,X_{N}\rangle }$ should be used, no html. --GaborPete (talk) 05:35, 4 February 2010 (UTC)

Anyway, could you please reply, Michael, to my questions above, so that I can continue working on those articles? --GaborPete (talk) 05:35, 4 February 2010 (UTC)

re Can you suggest a math field for abstract rewriting system?

mean-end analysis

- vampares

Your Puzzle

Hey thanks for making useful edits to Florida Association of Mu Alpha Theta! By the way, I believe that the answer to the puzzle on your User Page is that a space between the plus sign and the letter "e". I did not look at the code! Tell me if I am correct. Thanks, Dragoneye776 (talk) 20:15, 3 February 2010 (UTC)

Hello. That's correct as far as it goes, but the more interesting question is whether you can figure out the difference between the TeX code in one case and that in the other, and why that difference ought to have that result. Michael Hardy (talk) 20:45, 3 February 2010 (UTC)

I'm guessing here but I think that instead of letting TeX use the default spacing for Mathtype, you instead use "\," to make the space especially small, or even "\!" depending on the exact size of the space you want. Dragoneye776 (talk) 01:42, 4 February 2010 (UTC)

That's far too easy. It's actually nothing of the sort. Michael Hardy (talk) 02:42, 4 February 2010 (UTC)

Tidying up Representation (mathematics)

Thanks for catching the nits! I'm so glad that there are Wikipedians out there who patrol the vast sea of content and are sensitive to such fine points as consistency in capitalization and the nuances of puncutation.

When creating those references, I had shuddered to use a hyphen: well trained by Knuth and Lamport, I really wanted to use the en-dash, but it had failed to register that there is a way to do so. Your speedily replacing my barely tolerable hyphens is greatly appreciated.

I also appreciate stumbling across the tip on your user page about simplicity of linkitude. Although, again, I was (perhaps ]ly) aware that simple plurals could be formed that way, it hadn't dawned on me that this fact almost guaranteed that suffixification of arbitrary length was likewise supported. (Sad to say, though, that hyperinfixism does not enjoy similar support.)—PaulTanenbaum (talk) 14:16, 12 February 2010 (UTC)

PTSD editing - Thanks!

Michael - just caught your minor editing of PTSD - to which I have been, and will be, devoting considerable portions of my free time (it's my professional specialty, and the article needs upgrading). My immediate reaction: Oh, this guy knows how to edit. Some excellent minor but non-trivial catches.

I do hope you'll visit the article often and continue to assist in quality control. I try to edit very tightly myself, but doing that consistently to one's own stuff can become a bit of a challenge. One goes blind, after a while. Fresh, well-informed, eyes are very welcome. THANKS! Tom Cloyd (talk) 19:45, 12 February 2010 (UTC)

Apologies about poorly written questionFundamental Domain

I'm a freak on Misplaced Pages--I only know basic cut and pasting, I'm bad at citationing and linking. I find the squiggles hard to see and confusing.(But at the least I could have titled the question.) I hope to learn editing skills soon. Best Wishes, Rich (talk) 05:19, 13 February 2010 (UTC)

Expand tags

Expand tags indicate that there is discussion on the Talk page about what the editor thinks is too thin and what sorts of information is expanded. Such comments should really accompany those tags, because otherwise they're so vague as to be useless (IMHO, of course). Could you toss in a few sentences to explain your reasoning, and guide future editors? - DavidWBrooks (talk) 20:36, 15 February 2010 (UTC)

Bollinger Bands

Please restore the listing for Bollinger Bands to its correct nomenclature, "Bollinger Bands", from the change you made to "Bollinger band". A survey of the literature will show that they are almost universally referred to as Bollinger Bands. For example, see the standard college textbook on technical analysis, Technical Analysis: The Complete Resource for Financial Market Technicians, Kirkpatrick/Dahlquist, 2007, ISBN 0-1315311-3-1, pages 291-292 and 646. TradingBands (talk) 16:29, 23 February 2010 (UTC)

Is there a reason why the plural should be used in the article's title, notwithstanding the general norm that titles are singular (with certain exceptions)? Michael Hardy (talk) 17:26, 23 February 2010 (UTC)

OK, looking at google books, using the search term "Bollinger band" (I think it's a case-insensitive search), I find this page using lower case, saying "After prices cross the expanded lower Bollinger band, wait for them to rise back above the lower band; then". And this one: "When a price is probing an upper or lower Bollinger band,". I also find some using capitals, and using the singular. Michael Hardy (talk) 17:32, 23 February 2010 (UTC)

On Google I get 865,000 hits for Bollinger Bands and 210,000 for Bollinger Band. Clearly Bollinger Bands is the preferred usage by better than four to one. In addition, for Bollinger Bands every Google item on the first page has both Bs capitalized except for the Misplaced Pages entry. The first page of the Google search for Bollinger band also has every entry with double caps except one and all entries except one are plural. Finally the Bollinger band search page does not include the Misplaced Pages entry. Please return the Misplaced Pages listing to the standard usage, Bollinger Bands. TradingBands (talk) 15:34, 24 February 2010 (UTC)

too speedy

Sorry, I was a careless when cleaning the 'prod' log : I relied on someone else's tag: and didn't read the text carefully. I agree that it should have gone through regular AfD as OR. Do you want me to restore it? - Altenmann >t 19:05, 2 March 2010 (UTC)

My question on Trig identities

Sorry, badly phrased, what I meant for that information to be for was to help do the first few steps of the question What I actually need is: How do you fully simplify (cosx/sinx)+ sin x? Wolfram has the answer at csc x, but no proof so I've no idea why. Danrules2 (talk) 06:11, 7 March 2010 (UTC) Thankyou tremendously, I knew I'd missed something crucial... didn't know it was so simple as the basic trig identity :( Danrules2 (talk) 06:26, 7 March 2010 (UTC)

visiting Hardy/Tukey

I tweaked the two numbered citations. Forgive me if that is contrary to the purpose of such a user page.

How do you type from the keyboard that script lowercase "l" (letter ell) which appears all alone on one line near the bottom of the article? Its function may be to avoid confusion with "1" (numeral one) in some fonts. Is there another for uppercase "O" (letter oh)? --P64 (talk) 02:01, 8 March 2010 (UTC)

Hello. I've never typed that one; I've just copied and pasted. Except within TeX, in which case it is \ell (but you'll have figured that one out if you clicked on "edit" and looked at what was typed there). Michael Hardy (talk) 05:11, 8 March 2010 (UTC)

Coxeter-Dynkin diagram graphics

Hi, you appear to be a regular contributor to the Coxeter–Dynkin diagram article. Hoping that you feel able to contribute to the discussion over SVG vs PNG formatting for these diagrams. We are trying to establish a consensus to end a reversion war, and there are literally hundreds of instances to sort out. 83.104.46.71 (talk) 19:12, 11 March 2010 (UTC)

Proof by contradiction

Hello. I saw your paper Prime Simplicity you referenced at Talk:Furstenberg's proof of the infinitude of primes, and I must thank you and Ms. Woodgold for writing it. The unnecessary use of proof by contradiction annoys me, so I'm glad to see this article. Even more than a proof by contradiction of Euclid's theorem, I especially hate the mongrel version that first assumes all primes are listed, then considers the new number, shows that it is not divisible by any of them, and instead of stopping (we have a contradiction already!), still argues that the new number must be either prime or divisible by some prime not in the list, making it all needlessly confusing. Anyway, thanks. :-) Shreevatsa (talk) 05:45, 12 March 2010 (UTC)

Thank you. This means that there are now three people (other than those I've mentioned it to) who've read our paper (as far as I know). Michael Hardy (talk) 17:28, 12 March 2010 (UTC)

Request

Hello, I'm not registered user, so I couldn't rename articles. I saw - you were the last one who modified "Marsaglia polar method" http://en.wikipedia.org/Marsaglia_polar_method - Could you, please rename it to "Box-Mueller polar method" or something. It was titled so by George Marsaglia, but he was not the first one, who proposed this method it was proposed by J. Bell in 1968 (http://portal.acm.org/citation.cfm?doid=363397.363547 J. Bell: 'Algorithm 334: Normal random deviates', Communications of the ACM, vol. 11, No. 7. 1968) and then modified by R. Knop in 1969 (http://portal.acm.org/citation.cfm?doid=362946.362996 R. Knopp: 'Remark on algorithm 334 : normal random deviates', Communications of the ACM, vol. 12, No. 5. 1966). The described in wikipedia form is the form of Knop. Thanks in advance, Vladimir —Preceding unsigned comment added by 129.132.153.25 (talk) 17:37, 17 March 2010 (UTC)

Talkback on User talk:Starblind's page

Hello, Michael Hardy. You have new messages at Starblind's talk page.
You can remove this notice at any time by removing the {{Talkback}} or {{Tb}} template.

Just in case you haven't seen it. I wondered if you might even respond to the comments there? -m-i-k-e-y- 15:06, 19 March 2010 (UTC)

April 1st DYK

Hi, I've noticed that you are involved in editing the DYK template, and sorry for troubling you, but I've come across a humorous fact (and inserted it under "personal life") about one of the Chuckle Brothers:

In April 2007, while on holiday on the Greek island of Kefalonia, Paul broke his nose and received cuts and bruises when he lost control of his motorbike after suddenly braking to avoid a sheperd and his flock of goats. British tourists who stopped at the accident, instead of helping him out, shouted out the Chuckle Brothers' catchphrase: "To me, to you."

Problem is I only have computer access at college, and for some reason the spam/porn filter is preventing me from accessing the suggestions page. Could you suggest it on my behalf? I'd be eternally grateful, Brutal Deluxe (talk) 16:45, 31 March 2010 (UTC)

WPM thread

The civilization is collapsing all around you, and all you can think is an endash? Arcfrk (talk) 16:57, 31 March 2010 (UTC)

Occasionally I find that preventing the collapse of civilization requires attention to some detail or other besides endashes. (E.g. the pronunciation of "Euler".) Michael Hardy (talk) 18:29, 31 March 2010 (UTC)

"an Euler"

Re: this, this, and this. The comments for these edits seem a bit harsh to me. Determining whether to use "a" or "an" is not always clear, and it can vary by pronunciation. Since "Euler" has only one correct pronunciation in English, you are definitely correct. But in the spirit of WP:DONTBITE and WP:PERSONAL, I do wish you would be less harsh when correcting such trivial errors. (I suppose I'm also violating Don't be a dick by even commenting on this!) In any case, thanks for all the work you do on Mathematics articles. Best wishes, Jwesley₇₈ 20:51, 31 March 2010 (UTC)

The problem with wrapping my brain around the idea that some people who are editing math articles, and some college-bound high-school graduates, might not have heard of Euler, is going to be something of a challenge. The math curriculum consists of lying to students, telling them that math consists of useless clerical skills. But that's not the curriculum I was brought up with. Michael Hardy (talk) 04:12, 1 April 2010 (UTC)

It's amazing the huge holes that exist in the basic knowledge of many "college educated" people. I remember when I was a CS undergrad, I had an instructor (might've only been the GA) who wasn't sure how to pronounce "Euler"! He began the class pronouncing it correctly, but when somebody challenged him on the pronunciation, claiming that it might be "yoo-ler", the instructor said he wasn't sure! Sadly, I find CS grads often have an inadequate knowledge of Mathematics (especially considering the amount of knowledge necessary to really understand core CS material). Even more sad is the fact that many schools have CS faculty members that think better/more Mathematics training is *not* needed! Jwesley₇₈ 04:35, 1 April 2010 (UTC)

EDI

You recently renamed the main and talk pages for "Electronic Data Interchange" to "Electronic data interchange". I have worked exclusively with EDI for well over twenty years and have *never* seen it referred to other than using the fully capitalized form. I am not confident enough about using Misplaced Pages to revert your changes, but I would be grateful if you would do so. Chrisj1948 (talk) 11:21, 4 April 2010 (UTC)

I've moved it back, but I have these comments:

• Why all those plainly incorrect capitals in section headings that I fixed? Those insisting on capital initials in the title would be more credible if they didn't do that.
• In at least two places in the article it was written with all lower-case initials before I ever touched the article. Hence if you have never seen it that way, then you didn't read the article before my edits.
• Before editing the article I googled the phrase and found both forms.

Michael Hardy (talk) 17:13, 4 April 2010 (UTC)

Firstly, thank you for reverting to the capitalized form! As to my rash use of 'never'; you are quite right to hold me to task over that and I stand chastised :-) I am biased by virtue of being an EDI professional, and thus the documents I look at tend to be official reference documents rather than general popular commentary. The lower case in the EDI article itself is, I believe, incorrect usage, but the article itself whilst having many good parts is not a good reference. I think it indicates that Misplaced Pages needs to be treated as informative but not authoritative. If I ever get time I will perform a total re-write; there are far too many minor problems with it for anything less to be satisfactory. I notice that you do a lot of good work on Misplaced Pages, and I hope this particular minor issue has not discouraged you at all. Chrisj1948 (talk) 19:06, 4 April 2010 (UTC)

The Word Alive

Forgive me, I feel really compelled to use caps lock. THE ARTICLE HAS BEEN DELETED THREE TIMES, AND PROTECTED FROM RECREATION, AND TWO TIMES SOME ADMIN HAS COME ALONG AND MOVED A CLEVERLY NAMED ARTICLE UNDER THE ORIGINAL TITLE (The Word Alive). I'm not blaming you or anything, I can't expect you to check the logs every time, but at this point I'm really sick of requesting deletions for this article. ×××BrightBlackHeaven××× 21:07, 12 April 2010 (UTC)

Move request

Could you delete hypergeometric function so I can move hypergeometric series there? My speedy deletion request was declined for frivolous reasons by someone knows nothing about the topic, and I cant be bothered to argue with him about it. r.e.b. (talk) 16:20, 13 April 2010 (UTC)

Thanks for the fast response! You might want to hold off changing redirects until I've finished rearranging the hypergeometric articles, as a few of them should go to generalized hypergeometric function instead. (This area used to be a total mess: the hypergeometric function article was mainly about the generalized hypergeometric function, and meanwhile the information about the hypergeometric function itself was scattered among about 6 other articles.) r.e.b. (talk) 16:49, 13 April 2010 (UTC)

a little harsh?

Michael, your recent edits on NBD seem a little harsh, especially since the editor is an IP. If it annoys you so much to respond to questions like this, it might be best to let someone else do it. 0 (talk) 21:51, 13 April 2010 (UTC)

Holographic Holographic Metamorphic Math Math

I've reverted this user's contributions twice now. One other editor has also reverted his change. He's adding content relating to "Holographic Holographic Metamorphic Math Math". I think it's approaching the threshold for vandalism, but I'd like a second opinion. Justin W Smith /_stalk 02:32, 15 April 2010 (UTC)

It's nonsense incorporating some mathematical terminology. I was a bit surprised by the contrast between a couple of details the seemed moderately clever and the stupid mangling of the grammar at one point. Definitely there's nothing of encyclopedic value in it and it's clearly not a good-faith attempt to add such content. Michael Hardy (talk) 03:09, 15 April 2010 (UTC)

WikiProject: Math/Typography

Hi Michael,

As I recall, you are keenly interested in mathematical typography (on Misplaced Pages), and we’ve previously discussed this (2009 Oct 31/Nov 1), where I suggested making a WikiProject on the subject. I have now done so, at WP:WPMATHTYPE, which I’ve announced at WP Math discussion. You are both welcome and cordially invited to weigh in and share of your expertise, and I’ve kicked off discussion with the topic we were discussing (and that is near to your heart, as I understand), namely that texhtml is too big. Enjoy, and look forward to working with you (et. al.) on this!

—Nils von Barth (nbarth) (talk) 09:24, 15 April 2010 (UTC)

pdf

pdf can stand for either. So it's not wrong; it's not even less ambiguous since CDF's are just called cumulative distribution function. It's just one convention.--Louiedog (talk) 21:20, 15 April 2010 (UTC)

It's not a convention that probabilists and statisticians use. This is a good example of why Misplaced Pages should not be considered authoritative. Besides, the function you referred to in the article was a probability density function, the bell-shaped curve. Michael Hardy (talk) 22:40, 15 April 2010 (UTC)

AfD nomination of Augmental homology

An article that you have been involved in editing, Augmental homology, has been listed for deletion. If you are interested in the deletion discussion, please participate by adding your comments at Misplaced Pages:Articles for deletion/Augmental homology. Thank you.

Please contact me if you're unsure why you received this message. Radagast3 (talk) 12:09, 16 April 2010 (UTC)

Your edits to Changeover and List of production topics

Why did you redlink Sequence dependent setup? YouAndMeBabyAintNothingButCamels (talk) 12:49, 18 April 2010 (UTC)

That was a punctuation correction. If I'd noticed it created a red link, I'd have correct the article's title at that time. Now I've done so. Michael Hardy (talk) 15:32, 18 April 2010 (UTC)

Oh, OK. Thank you. YouAndMeBabyAintNothingButCamels (talk) 02:18, 20 April 2010 (UTC)

Legibility of maths pages

"Which pages did you have trouble reading?" you asked.

I tidied up one in particular - Formal system about a year ago (June 15th 2009), replaced the html with LaTeX because it really was impossible to decipher what it meant. But that section was removed in Sept 2009, so it's irrelevant now. --Matt Westwood 18:52, 20 April 2010 (UTC)

k-median

yes - my definition was not right - but it's fixed now, i notice. mukerjee (talk) 05:46, 23 April 2010 (UTC)

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AfD nomination of Erotic Torture Chamber

An article that you have been involved in editing, Erotic Torture Chamber, has been listed for deletion. If you are interested in the deletion discussion, please participate by adding your comments at Misplaced Pages:Articles for deletion/Erotic Torture Chamber. Thank you.

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AfD nomination of Images of Julia and Mandelbrot sets

An editor has nominated one or more articles which you have created or worked on, for deletion. The nominated article is Images of Julia and Mandelbrot sets. We appreciate your contributions, but the nominator doesn't believe that the article satisfies Misplaced Pages's criteria for inclusion and has explained why in his/her nomination (see also Misplaced Pages:Notability and "What Misplaced Pages is not").

Your opinions on whether the article meets inclusion criteria and what should be done with the article are welcome; please participate in the discussion(s) by adding your comments to Misplaced Pages:Articles for deletion/Images of Julia and Mandelbrot sets. Please be sure to sign your comments with four tildes (~~~~).

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Please note: This is an automatic notification by a bot. I have nothing to do with this article or the deletion nomination, and can't do anything about it. --Erwin85Bot (talk) 01:14, 1 May 2010 (UTC)

Multivariate normal distribution‎

I'm not sure the addition of the multiple issues template to Multivariate normal distribution‎ was genuine. The originally added version had been copied and pasted from Spoletorp, a now deleted article that I had nominated at AfD. User:KrodMandooon seemed to take exception to the nomination. At the AfD he made a number of bad faith allegations, and then started harrassing me on my talk page, for which he was blocked. He has also added a {{Citation needed}} template to Multivariate normal distribution‎, but I'm suspicious that was as disingenuous as the addition of the multiple issues template. However, not knowing enough about the subject I'm unable to determine whether it actually needs a citation. --AussieLegend (talk) 23:32, 2 May 2010 (UTC)

Boxed text in latex

Hi Michael. How did you get those neat boxes of text under the equal signs in this document? (Igny (talk) 00:37, 3 May 2010 (UTC))

First the following code comes before \begin{document}:

\newcommand{\toplabel}{\mathrel{\mathop{\mathstrut{#1}}\limits

^{\/% \/ is Vital!

\makebox{\parbox{80pt}{\centering

#2\par $\downarrow$\par }}}}}

\newcommand{\botlabel}{\mathrel{\mathop{\mathstrut{#1}}\limits

_{\/% Vital!

\makebox{\parbox{80pt}{\centering

$\uparrow$\par #2\par }}}}}

%

% Usage:

%

% \toplabel{\leq}{By d'Umbrella's Theorem}

%

% \botlabel{\leq}{By d'Umbrella's Theorem}

%

Then one does things like this:

$$

\lim_{h\to 0} \frac{f(x + h) - f(x)}{h}

=\lim_{h\to 0} \frac{2^{x+h} - 2^x}{h}

\botlabel{=}{\ovalbox{just algebra}}

\lim_{h\to 0} \frac{2^x 2^h - 2^x}{h}

\botlabel{=}{\ovalbox{just algebra}}

\lim_{h\to 0} \left( 2^x \cdot \frac{2^h - 1}{h} \right)

\botlabel{=}{\ovalbox{$\begin{array}{l}

\text{because }2^x\text{ remains} \\

\text{constant as }h\to 0

\end{array}$}}

2^x \lim_{h\to 0} \frac{2^h - 1}{h}

$$

The code was written by Donald Arsenau in response to a question I posed in a usenet forum. Michael Hardy (talk) 01:12, 3 May 2010 (UTC)

Thank you, that is very helpful (Igny (talk) 02:28, 3 May 2010 (UTC))

MVN

The page looks excellent. It is quite impressive. And yes - while much is standard textbook material ... some is not ... and perhaps that is the point ... formulae are being given without reference or citation or derivation/proof, and in the absence of same, it is not clear if such formulae are 'original' or if they are sourced. And if they are sourced, where/what is the source? It would be helpful if the source could be provided. All the best. KrodMandooon (talk) 06:26, 3 May 2010 (UTC)

Format fixes

Thank for fixing the format issues in Line coordinates. Since you seem to be checking all the new articles, you should know that I recently did a lot of editing on Homogeneous coordinates, so it's essentially a new article now.--RDBury (talk) 14:23, 4 May 2010 (UTC)

Discussion: Merging the articles for "Hyperplane" and "Flat"

• Hyperplane
• Flat (geometry)

I'd like to discuss the possibility of merging these two articles. Your opinion on this matter is welcomed: Talk:Hyperplane#Merge to Flat (geometry) Justin W Smith /_stalk 20:41, 5 May 2010 (UTC)

Pythagoras' theorem

Hi Michael: It's time for an expert opinion here. I'm concerned that Staring's proof may be circular, as indicated in the caveat (note number 11). An alternative proof may be free of this difficulty. What do you think? Brews ohare (talk) 17:56, 8 May 2010 (UTC)

BTW, see this topic on the article Talk page. Brews ohare (talk) 18:15, 8 May 2010 (UTC)

My concerns over circularity are gone, but your comments on this section still would be welcome. Brews ohare (talk) 21:59, 8 May 2010 (UTC)

Allan variance

You should be aware that you and User:Materialscientist is making opposing editorial changes on - and –. See the talk pages of us for other commments. I don't have a problem with - or – but I don't want continous edits between them. Can you two agree in a discussion on Talk:Allan_variance I would be very happy if you two could discuss it on the talk-page, agree on a common resolution and then we stick to it. Many thanks for your editorial contributions. Cfmd (talk) 17:59, 8 May 2010 (UTC)

Could you do an re-evaluation of the article from the context of the statistics project? I think the article has progressed significantly since the last review and I would value the input from such a rating to see what I could improve. Cfmd (talk) 01:17, 9 May 2010 (UTC)

impolite?

I was under impression that the construction like ] or ] are perfectly acceptable, and in fact preferable to use for very common abbreviations. If a person known what those letters stand for it saves him/her the time needed to read the entire phrase. If a person doesn't know the abbreviation, he/she can just mouseover it and the full name will be shown in the tooltip. // stpasha » 04:16, 10 May 2010 (UTC)

Merging article Bracelet to Necklace (combinatorics)

I'm recommending that the article on Bracelet (combinatorics) be merged into Necklace (combinatorics).

I saw that you had previously edited one (or both) of these article. You're invited to participate in the discussion here: Talk:Necklace (combinatorics).

Thanks, Justin W Smith /_stalk 15:13, 14 May 2010 (UTC)

Thanks

Thanks for adjusting the typography etc. of my contributions, I'm getting a little better at Misplaced Pages each time.

Optimering (talk) 06:52, 15 May 2010 (UTC)

Advice for cladogram

Hello Michael, I would like to ask you for an advice with a cladogram (Computational phylogenetics). I wanted to add a cladogram for genera in Semisulcospiridae, but there are two available cladograms in the source reference. Parsimony analysis image and Bayesian analysis image and these two images differ. I think that corresponding articles are Maximum parsimony (phylogenetics) and Bayesian inference in phylogeny (and the third method is Maximum likelihood). I am not very familiar with these statistical methods so I can not decide, which image will be the best, or better for the encyclopedia. Is there an universal answer for this? Now I suppose that it is important what method was used for creating of the image, but I found no this information in documentation neither of Template:Clade nor of Template:Cladogram. It seems that this information is not used even in biological articles containing cladograms. --Snek01 (talk) 21:30, 16 May 2010 (UTC)

Amazon

See here: https://www.amazon.com/gp/help/contact-us/general-questions.html  7  03:58, 18 May 2010 (UTC)

Sorry---you're wrong and you didn't read my question very well. You CANNOT use that page without a valid order number.

Please: Use your head!! It is BECAUSE OF my attempt to use EXACTLY the page you're pointing to that I concluded you can't contact amazon. I was completely explicit about this. Michael Hardy (talk) 05:58, 18 May 2010 (UTC)

Wow - I did use my head. I used it to try to help you on WP for a question completely unrelated to WP. And, despite your use of caps and exclamation points I tried it again, and it worked again. See File:Temp_temp_-_Hardy.png - perhaps you need to select the "other" category? In any case, good luck.  7  06:19, 18 May 2010 (UTC)

It appears you have resolved your issue. I am going to mark File:Temp_temp_-_Hardy.png for deletion. Regards.  7  01:35, 20 May 2010 (UTC)

N=1 fallacy

As you may see on the talk page, I don't think the concept is notable and couldn't find reliable sources to verify usage of this after 2003. Since I'm an anonymous IP, I can't put the article up for AfD but I do believe that it's the ideal course of action at this point since no one can or cares to rewrite the article to make understandable. Would you care to nominate it for deletion or do you believe the article can still be rescued somehow?--70.80.234.196 (talk) 14:03, 29 May 2010 (UTC)

Pareto principle

Thank you for correcting my post. Your change clarifies the meaning.

I made slight change of "is assigned the same value" to "have equal shares." This more closely ties parenthetical example to antecedent "something is shared" and changes passive voice to active voice.

Thanks again and regards.

Gac0000 (talk) 23:05, 29 May 2010 (UTC)

Controversial edits

Hello! I see, one day you were editing the Vandenbergh effect article, could you please figure out if these edits are correct or not. I find it quite hard to believe that the incorrect date was present in the article since its creation in 2007, but have failed to find any reliable online sources on it. Thanks in advance, --Microcell (talk) 17:55, 30 May 2010 (UTC)

I did some edits to bring the article into compliance with WP:MOS, but I don't actually know this topic. Michael Hardy (talk) 18:13, 30 May 2010 (UTC)

Well, sorry, but maybe you know how to handle edits like these (when both sources are unverifiable for unaware editors) or whom to address in order to check the info for certain? --Microcell (talk) 18:24, 30 May 2010 (UTC)

Thanks

Thanks for the helpful hints on math punctuation and italicization! Duoduoduo (talk) 14:50, 4 June 2010 (UTC)

Hello, Michael Hardy. You have new messages at Cnilep's talk page.
You can remove this notice at any time by removing the {{Talkback}} or {{Tb}} template.

Feedback help?

Michael, despite having a degree in Mathematics, my skills are quite rusty. An editor created a draft article and asked for feedback here. Any chance you could take a look at it, or pass it along to someone who could help - I see some promise, but, at a minimum, some copy edit needs. Whether the content is worth while is beyond me.--SPhilbrickT 16:33, 5 June 2010 (UTC)

Thank you for your correction on the article I wrote, http://en.wikipedia.org/Configuration_graph and http://en.wikipedia.org/SO_(complexity) ; for information I did SO because there already were FO, ttp://en.wikipedia.org/FO_(complexity) and since FO used to be a stub, I had plenty of stuff on it. I guess if you did read SO you may want to have a look at FO too. Especially, I would be curious to have answer to the question I leaved on http://en.wikipedia.org/Talk:FO_(complexity) . Anyway: thanks againArthur MILCHIOR (talk) 10:46, 8 June 2010 (UTC)

Dynamic Technical Analysis for Financial Markets

The French version of DTAFM was deleted yesterday. I'm not too sure how to proceed in here (AfD of prod?). Could you help or act? Many thanks, --Anneyh (talk) 10:33, 6 June 2010 (UTC)

Revision to Sid Meier's Alien Crossfire and Sid Meier's Alpha Centauri articles

I noticed that you have revised either Sid Meier's Alpha Centauri or Sid Meier's Alien Crossfire.

I intend to revise those articles following the Misplaced Pages:WikiProject Video games/Article guidelines. There are more details on the discussion pages of those articles. I'd be interested in any comments you have. It would be best if your comments were on the discussion pages of the two articles.

Thank you.

Vyeh (talk) 11:06, 8 June 2010 (UTC)

six cross-ratios

Hi Michael, Thanks for your edit there. I moved the page to my talkpage so as to avoid losing the material. There is a number of independent remarks concerning the six cross-ratios that should have their own sections. For example, the remark concerning the fixed points of the order-2 Mobius transformations that turn out to have fixed points precisely the orbit of the harmonic ratio. In a separate page, this poses no problem, but too many subsections at the cross-ratio page itself would clutter up the table of contents. What would be the best way of handling this? Tkuvho (talk) 08:16, 11 June 2010 (UTC)

Naming of single-nucleotide polymorphism article

Hi Michael, I notice you renamed this article from single nucleotide polymorphism back in December of 2008. I write to get a sense for why you added the hyphen. It seems to me that it is not necessary in this case; single modifies nucleotide which modifies polymorphism, rather than single-nucleotide being a compound modifier of polymorphism. It makes sense either way but in these cases it seems the custom is to omit the hyphen unless it is necessary to clarify the meaning. -Cwenger (talk) 01:49, 19 June 2010 (UTC)

I believe the traditional way of using hyphens is worth saving. More later..... Michael Hardy (talk) 19:17, 21 June 2010 (UTC)

Galton–Watson process

I agree with you that the jargon tag is inappropriate. My guess is that the notation on the definition is what led to this tag though. The notation is not fully explained. As it is written it looks like it is the sum of sequences rather than elements of sequences. The superscript and subscript in the definition need to be explained better, so that anyone who has some basic probability training can understand the definition. Is it that each \xi^(n) is a new sequence of n iid variables and the j, in \xi^(n)_j, refers to the element of the sequence. I have no training in stochastic processes, so I could be wrong on my interpretation. Thanks --MATThematical (talk) 21:31, 24 June 2010 (UTC)

Bessel function

Just for the record: do you oppose replacing <references /> with {{Reflist}} in this article? —bender235 (talk) 17:12, 5 July 2010 (UTC)

Context: Bender235 has been going around large numbers of articles making this change via AWB. I noticed these edits when they overlapped with our math articles. — Carl (CBM · talk) 17:25, 5 July 2010 (UTC)

I'm neutral on that issue. I am not familiar with the specific pros and cons. Michael Hardy (talk) 19:21, 5 July 2010 (UTC)

Pro: the template allows multi-column reference lists, which is useful for 20+ notes

Con: reduces the font size to 90% (only a con for certain users, including CBM)

That's it. --bender235 (talk) 19:49, 5 July 2010 (UTC)

Continuous-repayment mortgage

Hi

If you have a moment, could you take another look at this article and critique the Maths. Probably much of it needs pruning and the article could say most of what it needs to say a lot more economically. But I'm not sure what should stay and what should go.

Thanks.

Neil Parker (talk) 15:00, 7 July 2010 (UTC)

"some minor edits for now; at some point I'll print this out and mark up the page with my comments and then come back here and do some substantial editing".

Much appreciated.

Neil Parker (talk) 09:57, 26 July 2010 (UTC)

Abstract polytopes

You have previously contributed to the Abstract polytope article. If you feel able, please contribute to the discussion on Notation, where I am hoping to resolve a long-standing dispute. Many thanks in anticipation. — Cheers, Steelpillow (Talk) 14:46, 17 July 2010 (UTC)

Attribution of names

Hi Michael, Does our Manual of Style have any specific guidance on how to attribute a named result to a particular mathematician? In the article Taylor series, for instance, should we just be piping a link to the first occurrence of the word "Taylor", or should we include a sentence like "It is named after the English mathematician Brook Taylor." I'm referring specifically to this edit, where someone seemed to think that it was better to include as little information as possible about the originators of the theorem. I'm inclined to disagree with this edit, but I have not reverted it since User:Bo Jacoby has already locked horns with me over several other questionable edits of his, and I have no wish to be called out yet again. Still, our manual of style seems to be annoyingly silent about this issue. (It does suggest, rather vaguely, to "include some names and dates" in the lead, but this isn't particularly focused advice.) Perhaps it is high time to do something about this. Sławomir Biały (talk) 10:38, 26 July 2010 (UTC)

I definitely prefer the longer form, and I suspect I could make an argument for it if I worked on it. I usually, but not always, use less the a full sentence. E.g. I write

In mathematics, Xmith's theorem, named after John Xmith, states that....

etc. Michael Hardy (talk) 17:50, 26 July 2010 (UTC)

AfD nomination of Maturity road mapping

Hi, you tried to help with this article in the past, so you might want to comment at AFD. - Fayenatic (talk) 20:37, 28 July 2010 (UTC)

rank-2

Putting hyphens before numbers, such as changing rank 2 to rank-2, is not a good idea as it is too easily confused with rank −2 r.e.b. (talk) 13:04, 1 August 2010 (UTC)

AfD nomination of Chronological censorship

An article that you have been involved in editing, Chronological censorship, has been listed for deletion. If you are interested in the deletion discussion, please participate by adding your comments at Misplaced Pages:Articles for deletion/Chronological censorship. Thank you.

Please contact me if you're unsure why you received this message. Sławomir Biały (talk) 11:47, 3 August 2010 (UTC)

Thanks!!!!

Thank you Michael! The question I asked at Bessel's correction had been driving me insane for ages! - 114.76.235.170 (talk) 23:02, 6 August 2010 (UTC)

Listing numbers

Sorry, I don't know how I missed your edits and your question. Listing numbers (at least in connection with Peirce) can be found by searching on "Listing numbers" Peirce. Arthur Burks mentions them in his s:The New Elements of_Mathematics (review_by_Burks) linked in the footnote at the very end of the paragraph containing "Listing numbers" in the CSP wiki. It's been a while since I read about Listing numbers (and I'm not a mathematician), otherwise I'd try to briefly say what they are. I remember that they were involved in topology. The Tetrast (talk) 17:28, 12 August 2010 (UTC)
Update: I found something, see http://www.google.com/search?q=%22who+have+heard+of+J.B.+Listing%22 , it's Hilary Putnam in "Comments on the Lectures" in Reasoning and the Logic of Things (a lecture series by Peirce, with intro & commentary by Kenneth Laine Ketner and Putnam): "Today there must be very few topologists (if any) who have heard of J.B. Listing, whom Peirce considered to be the discoverer of topology. However, the Listing numbers are perfectly good topological invariants (Peirce's "first Listing number" would today be called the zero-dimensional Betti number). ...." The Tetrast (talk) 17:52, 12 August 2010 (UTC).

Although I remember this issue, I didn't remember which article it was about. It now appears you're talking about an edit summary to Charles Saunders Peirce that I wrote on July 25th. To be continued..... Michael Hardy (talk) 18:02, 12 August 2010 (UTC)

I've linked "Listing numbers" in the Peirce wiki to Johann Benedict Listing, where I've added about Listing numbers along with a footnote with a reference. The Tetrast (talk) 18:32, 12 August 2010 (UTC).

Um, why have you undone the Peirce wiki link of "Listing numbers" to Johann Benedict Listing? (And why no explanation in the edit line besides the word "link"?) The Johann Benedict Listing wiki is where people will find out something about them. Why link instead to a nonexistent page? It seems unlikely that anybody is about to start a wiki on Listing numbers, unless you plan to do so yourself. The Tetrast (talk) 19:29, 12 August 2010 (UTC).

The Listing number article now exists, although it's still just a stub. Michael Hardy (talk) 16:48, 13 August 2010 (UTC)

Thank you kindly! The Tetrast (talk) 16:15, 14 August 2010 (UTC)

Minus signs and en dashes

I know your an experienced Wikipedian, so I'm feeling a little uncomfortable lecturing you, but please make sure not to confuse minus signs (−) and en dashes (–) in article titles (like here). No offense! —bender235 (talk) 17:05, 22 August 2010 (UTC)

Apparently I was confused that day. Thanks for straightening this out. Michael Hardy (talk) 16:36, 23 August 2010 (UTC)

Thanks for your sharp eye.

I just saw an edit you did in which you changed hyphens in journal article page ranges to en dashes, which I have now done in my Intelligence citations bibliography and which I will do during updates to other source lists to share with other Wikipedians. Thanks for drawing my attention to that issue. -- WeijiBaikeBianji (talk) 16:17, 23 August 2010 (UTC)

The correct name is "Wirtinger derivatives" and not "Wirtinger derivative".

Hello, Michael Hardy. First of all thank you for your edits to the latest entry I have created (formerly Wirtinger derivatives, now Wirtinger derivative), especially for the smart use of   in order to improve the aesthetic appaerance of the inline mathematical formulas: however I had to revert your edits since you left the entry in a mess. But this is not the main reason I have decided to write you: the main reason is that your arbitrary move of the former entry Wirtinger derivatives, to the new one Wirtinger derivative is simply wrong. Effectively Misplaced Pages:SINGULAR#Name_construction remarks that page names should be singular, except for nouns that are always in a plural form in English (e.g. scissors or trousers) and the names of classes of objects (e.g. Arabic numerals or Bantu languages): well, Wirtinger derivatives belong to both of this exception classes. At first, I thougt that they did not belong to the fist one (i.e. that the plural locution "Wirtinger derivatives" was not common english usage), since the correct attribution to Wilhelm Wirtinger is mainly (but not exclusively) used by European scientists in their native language or in translations (see for example Fichera (1986, p. 62) or Martinelli (1984, p. 12 and 86) or Henrici (1993, p. 287, 294,298, 300)), but a rapid search on Google show me this is not the case. "Wirtinger deivatives" scores 320, while "Wirtinger derivative" scores only 87 (or shuld I say 86+1?), but the most important thing is that most of the 320 scores refer to definitions of the concept, indicating a really common English usage: I cite only only the two books (Cherry & Ye 2001, p. 31) and (Zwillinger 1997, p. 269), as examples. Of course, I have no dubt that Wirtinger derivatives belongs also to the second exceptions class, since even when they are definded without the attribution to Wirtinger, they are always defined as classes of ${\displaystyle 2}$ or ${\displaystyle 2n}$ operators, whose members, identified with the locution Wirtinger derivative with respect the variable (or conjugate variable) ${\displaystyle z_{j}}$, are used to construct the basic operators of the theory (or the related differential forms) like the arabic numerals are used to construct numbers: see Hörmander (1990, p. 1, 23) as an authoritative example. If you find my considerations reasonable, please support my move request to the original name of this entry. Best regards, Daniele.tampieri (talk) 15:47, 24 August 2010 (UTC)

• Cherry, W.; Ye, Z. (2001), Nevanlinna's theory of value distribution: the second main theorem and its error terms, Springer Monographs in Mathematics, Berlin: Springer Verlag, pp. XII+202, ISBN 978-3-540-66416-1, Zbl 0981.30001.
• Fichera, Gaetano (1986), "Unification of global and local existence theorems for holomorphic functions of several complex variables", Memorie della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, 8, 18 (3): 61–83, Zbl 0705.32006.
• Henrici, Peter (1993) , Applied and Computational Complex Analysis Volume 3, Wiley Classics Library (Reprint ed.), New York - Chichester - Brisbane - Toronto - Singapore: John Wiley & Sons, pp. X+637, ISBN 0-471-58986-1, Zbl 1107.30300.
• Hörmander, Lars (1990) , An Introduction to Complex Analysis in Several Variables, North–Holland Mathematical Library, vol. 7 (3 (Revised) ed.), Amsterdam–London–New York–Tokyo: North-Holland, ISBN 0-444-88446-7, Zbl 0685.32001.
• Martinelli, Enzo (1984), Introduzione elementare alla teoria delle funzioni di variabili complesse con particolare riguardo alle rappresentazioni integrali (Elementary introduction to the theory of functions of complex variables with particular regard to integral representations), Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni, vol. 67, Rome: Accademia Nazionale dei Lincei, pp. 236+II.
• Zwillinger, Daniel (1997) , Handbook of differential equations (third ed.), San Diego: Academic Press, pp. xxiii+801, ISBN 978-0-12-784396-4, Zbl 0912.34001

Re: convergence in probability

Ah, okay, thank you for clearing that up for me; I thought X_n was the n:th random variable rather than the average of the n first random variables. I guess that is what happens when you don't read the whole article. :) --Kri (talk) 23:53, 4 September 2010 (UTC)

Sorry, my bad again. The article doesn't mention anything about average values in this case; {X_n} can simply be any sequence of variables that get more and more predictable (a bit simplified) for increasing n. --Kri (talk) 00:05, 5 September 2010 (UTC)

Histogram

I would be happy if you could take a look at Histogram and the discussion page, where user Cyclopia makes IMO strange and incorrect edits. Nijdam (talk) 14:21, 6 September 2010 (UTC)

Transverse Mercator

Many thanks for your careful copy edits (on my sections) but I hope you haven't wasted to much time on editing the new section added by Zukas. His tex material was( and is still) pretty awful. I'm not sure that he understands what he is doing and I am minded to remove this section; it is no more than a curious diversion from main stream theory. I shall be having a session on this page shortly. I intend to give more details of current developments. Peter Mercator (talk) 22:34, 8 September 2010 (UTC)

Tidying expressions

Thanks for your careful eye tidying details traffic equations and balance equation. Gareth Jones (talk) 23:23, 11 September 2010 (UTC)

Multifactor Design of Experiments Software

Michael, thanks so much for cleaning up my article at the bottom and also pointing out that it was an orphan. I believe (I'm a newbie) I have corrected it, and therefore removed the "orphan" comment, but please do feel free to look and verify. Again, thanks! (Another Minnesotan BTW...)Agatecat2700 08:49, 13 September 2010 (UTC)

Request for statistics article review

A new editor has written an article Multivariate kernel density estimation and requested feedback. The editor seems to have basic Misplaced Pages style under control; it needs the review of someone familiar with the field. (I'll also crosspost a couple specific editors.) x-post with Math Reference Desk--SPhilbrickT 21:15, 17 September 2010 (UTC)

Speedy deletion nomination of Geshe Tenzin Zopa

A tag has been placed on Geshe Tenzin Zopa, requesting that it be speedily deleted from Misplaced Pages. This has been done under the criteria for speedy deletion, because it is a very short article providing no content to the reader. Please note that external links, "See also" section, book reference, category tag, template tag, interwiki link, rephrasing of the title, or an attempt to contact the subject of the article don't count as content. Moreover, please add more verifiable sources, not only 3rd party sources. Please see Misplaced Pages:Stub for our minimum information standards for short articles. Also please note that articles must be on notable subjects and should provide references to reliable sources that verify their content. You may wish to consider using a Wizard to help you create articles - see the Article Wizard.

Please do not remove the speedy deletion tag yourself. If you plan to expand the article, you can request that administrators wait a while for you to add contextual material. To do this, affix the template {{hangon}} to the page and state your intention on the article's talk page. Feel free to leave a note on my talk page if you have any questions about this. —Ғяіᴆaз'§Đøøм • Champagne? • 08:33, 18 September 2010 (UTC)

Ref Desk and grammar

Michael,

I recently boxed one of your comments at WP:RD/H. As you may be aware, the Ref Desks have been wrestling with the issue of whether and when it's appropriate to correct grammar for some months now. A general consensus has emerged that correction for correction's sake, particularly when there's no room for misinterpretation, is to be avoided. A gentle note of correction to the poster's talk page should be fine, but I hid your comment largely to prevent it being a flash point for yet another dramafest on this issue. — Lomn 13:29, 28 September 2010 (UTC)

I don't know why some people are so touchy about grammatical things like that, even though they can disagree about politics or religion or education without suffering any spiritual bruises. Michael Hardy (talk) 20:45, 28 September 2010 (UTC)

Pronunciation of Leibniz

I reverted the German pronunciation of Leibniz to for the reasons given in the talk page. If you have a source that confirms that is also a legitimate German pronunciation, please add it back in alongside . --Iceager (talk) 17:52, 29 September 2010 (UTC)

Catholic Church

Hi Michael, Would be interested in doing any work on this article? It seems to be in bad shape. There is a discussion on the talk page to put it back to 'start class,' and an article of this importance, should have made it to FA by now. I don't edit there, but I will start. I saw your article on Mysterii Paschalis which I like very much, and wondered if you'd be interested in helping fix the situation over there. Even the photos are lacking. I don't think, as it reads right now, a reader would understand what the Catholic Church is from this article. If you've not the time, then perhaps you know of others who might be interested? Thanks.Malke 2010 (talk) 19:31, 29 September 2010 (UTC)

I disagree

Your comment about "exchangeable random variable" doesn't make much sense to me. Logically, if you can have a "sequence of X's", then you can have an "X" which is sensibly defined as "one of a sequence of X's". Certainly, whether or not you think singular "exchangeable random variable" is incorrect, you understand what is meant, and if you do a search on "exchangeable random variable" you will see plenty of examples in the singular with exactly the semantics I just described. In other words, whether or not you prescriptively think such usage is "incorrect", descriptively speaking it obviously exists and is well defined, so there seems little point to me in insisting that the Misplaced Pages article be named according to the plural when the standard practice is to use the singular whenever it exists. Benwing (talk) 05:33, 1 October 2010 (UTC)

Looking at the first several google hits, I'm failing to find what you say is there. Can you point to one or more specific pages on which you find that usage? Your comment that starts with "logically" is specious. Two say two or more random variables are exchangeable is to assert that a certain relationship among them exists. How can that apply to just one random variable in a way that's not vacuous? Michael Hardy (talk) 12:47, 1 October 2010 (UTC)

www.proba.jussieu.fr/mathdoc/textes/PMA-890.pdf

"Take π ∈ P an exchangeable random variable and define a family of. Pn-valued processes Πn(·) as follows"

www.math.ens.fr/~catoni/homepage/vapnik.pdf

"For any θ ∈ Θ, any ω ∈ 􏰈X × Y􏰉(k+1)N , any positive partially exchangeable random variable λ, any partially exchangeable random variable η,"

www.unc.edu/~normanp/AEJsub1.pdf

"Proposition 2 Suppose that θ6 is an exchangeable random variable and that there exists C 'n( such that C7 'n( 1 C 'n( for all j - 2"

projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle...1

"Consider an n dimensional exchangeable random variable X = (-XΊ,.. . ,Xn). Shaked and Tong (1985) suggested that larger dependence of X is associated with ..."

www.springerlink.com/index/u2043254v6568430.pdf

"Ramamurthy and Sengupta and Ott and Shanthikumar . In addition if. (Y1,..., Yc) is an exchangeable random variable one has (see Ott and ..."

papers.ssrn.com/sol3/Delivery.cfm/000530360.pdf?abstractid=230833

"final endowment is described by an exchangeable random variable, which allows for aggregate risks. They show that efficient risk-sharing can be attained ..."

Granted, there aren't as many examples of such singular usages as plural usages. Also, I see that according to WP:PLURAL, the use of the plural here may be warranted. Benwing (talk) 06:33, 4 October 2010 (UTC)

Apparently at least some of the quoted authors above mean a random vector whose scalar components are exchangeable. Michael Hardy (talk) 18:19, 8 October 2010 (UTC)

HELP

Very indebted for Michael Hardy's corrections in the article Computation of radiowave attenuation in the atmosphere!--Thuytnguyen48 (talk) 18:03, 8 October 2010 (UTC)

Confidence interval

Please take a look at the recent edits on confidence interval. Nijdam (talk) 20:55, 10 October 2010 (UTC)

Again: I'm not pleased at all with the present introduction on confidence interval. Nijdam (talk) 16:09, 11 October 2010 (UTC)

BWV 48

You tried to improve BWV 48, but please note that the links to the free scores work only with the minus-sign, and I wonder if the name shown should be different from the link. But for the moment I just restored the link. --Gerda Arendt (talk) 06:49, 13 October 2010 (UTC)

You must have meant only with the hyphen. (I disapprove of using hyphens as minus signs in non-TeX notation.) Michael Hardy (talk) 21:14, 13 October 2010 (UTC)

Question

I do not understand some idea : . As such, Legendre polynomials can be generalized (In what way?) to express the symmetries of semi-simple Lie groups (not SO(3)?) and Riemannian symmetric spaces. (not euclidean ?) Can you explain me it? Thank you very much. Gvozdet (talk) 21:06, 13 October 2010 (UTC)

I think you should post this question to Misplaced Pages:Reference desk/Mathematics. I think I've done some edits on that article, but the particular assertion you quote probably goes beyond what I know about the subject. Michael Hardy (talk) 15:32, 15 October 2010 (UTC)

Meetup

In the area? You're invited to the
May 2018 Minnesota User Group Meeting
	Date: 31 October 2010
	Time: noon
	Place: Midtown Exchange Global Market, East Lake Street, Minneapolis, Minnesota 44°56′57″N 93°15′40″W / 44.9493°N 93.2612°W / 44.9493; -93.2612

Herman ring

		The Original Barnstar
		Thanks for helping improve that new article!  Chzz  ►  10:07, 15 October 2010 (UTC)

It's always great when we ask people for help and actually get some!

I'd like to put that one in for a "Did you know..." nomination (WP:DYK) within the next few days; my main concern, however, is that it is a bit tricky for a non-expert to understand; it could really do with a more 'general' introductory sentence or two, just to say what it is.

So if you do get a chance to edit it further, please do; we've got a few days before the DYK deadline (has to be 'new' to qualify, within 5 days of creation, and it was created on 14th).

Thanks again!  Chzz  ►  10:07, 15 October 2010 (UTC)

Thank you. Michael Hardy (talk) 15:30, 15 October 2010 (UTC)

Inline TeX in Analyticity of holomorphic functions

I know you did that because you thought the line wrapping looked bad, but from my perspective, the slash are hardly visible in the HTML version of the formula.--Netheril96 (talk) 03:48, 18 October 2010 (UTC)

Proof that 22/7 exceeds π

ive replied on the talk page. Ive also not put the tags back on becasue i turst youd be going over to correct it anyway, thus making thee tag not worthwhile ;)(Lihaas (talk) 03:50, 18 October 2010 (UTC)).

Thanks and a Question

Hey, thanks for the capitalization fixes on the Lie conformal algebra page I started. I have a question, though. All the math sections appear as pictures of some sort except for one, which appears as text (e.g. you can highlight individual characters). How do I fix this?

Thanks! Myrkkyhammas (talk) 16:14, 19 October 2010 (UTC)

Refugee Churches

Just a comment after your recent edits of my draft article on Justus Velsius: At that point in time (i.e. mid-16th century) there were not only English refugee churches, but French and Dutch refugee churches as well. Frankfurt harbored both English and French refugee churches, and Calvin came to Frankfurt to mediate among the French refugee churches, not the English ones. Robert Horne was the pastor of the English refugee church in Frankfurt, and mediated the exchange between Velsius and Calvin; later on Horne returned to England and became bishop of Winchester.
btw, Velsius was a highly controversial figure, and stirred up unrest wherever he went. After he was thown out of Frankfurt he went a.o. to London, where he caused an uproar at the Dutch refugee Church there; then he returned to Holland where he was jailed for many years, and ended his carreer as a faith healer. It is going to take some time to get this straight. JdH (talk) 12:35, 22 October 2010 (UTC)

Reply

You have a reply on my talk page regarding Goblin --5 albert square (talk) 11:48, 7 November 2010 (UTC)

Move NATO phonetic alphabet?

You are invited to join the discussion at Talk:NATO phonetic alphabet#Move?. — Joe Kress (talk) 08:27, 9 November 2010 (UTC) (Using {{Please see}})

math check

there is a political math page (Gallagher Index), which is rather poor. I may be a psephologist but im not a mathemagician. i was wondering if you could review the relevant part or know of it in general to better source it.

ps- also, your wikiproject banner is a little off. for some reason the regular {{WikiProject Maths}} doesn't work (it links to somethign that would probably never be used), and math is also singular ;)Lihaas (talk) 00:51, 11 November 2010 (UTC)

The best work on this area is by Friedrich Pukelsheim, who apparently has influenced or at least been heard by EU officials. The probability-distribution work is goes back to Diaconis and Freedman and even further to Mosteller & co. I would think that Balinki and Young's book on apportionment would be needed on such an article. Best regards, Kiefer.Wolfowitz (talk) 00:54, 19 November 2010 (UTC)

New meetup

In the area? You're invited to the
May 2018 Minnesota User Group Meeting
	Date: 20 November 2010
	Time: 1:00-3:30 (click here for full agenda) R.S.V.P. by Nov. 17 for free lunch + parking
	Place: Minnesota History Center 345 Kellogg Blvd, St. Paul, Minnesota 44°57′00″N 93°06′20″W / 44.95°N 93.1055°W / 44.95; -93.1055

Not supported by the text??

Correct. Lying along the boarder is not the same as defining the border which is what the categories are for. Vegaswikian (talk) 02:37, 17 November 2010 (UTC)

Agreed, but

as I mentioned on the discussion page, Keep Your Shirt On! :) This was just paste of an entire section cut out by one of my stalkers from another page, where of course it made sense in context. I moved the dasterdly material to its own page, as suggested, and as soon as I get a chance I will put in the parts to a standalone entry that you and I both agree it needs.Edstat (talk) 23:17, 17 November 2010 (UTC)

For clarity, I prefer comments on the discussion page of the article that the comments refer to, as opposed to an editor's talk page.Edstat (talk) 23:19, 17 November 2010 (UTC)

I've now done the first edit all the way through, although I'm sure others will now jump in to edit it. Sorry for the multiple saves, I have't mastered using the sandbox so it is safer to make incremental saves.Edstat (talk) 19:39, 18 November 2010 (UTC)

Edstat's "shame on me"

Hi Michael!

Would you look at my talk page, where editor Edstat wrote "shame on me". I replied but could use a second opinion about my civility. I also added a single-purpose account template by him. If my reply is inappropriate or the template is inappropriate, then I would authorize you (and implore you) to remove anything inappropriate. (I am sorry but I have to go, now, to sleep.)

I'm sorry to leave this message, but I have to sleep. I also thought that you have been helpful to Edstat, so you were a neutral person.

Best regards, but apologetically, Kiefer.Wolfowitz (talk) 00:50, 19 November 2010 (UTC)

I was invited to help improve the ANOVA page. The topic on underlying assumptions was incomplete, so I added a referenced addition that applies to the factorial layout. Keifer.Wolfowitz deleted it. I assumed in good faith K.W didn't like the place it was inserted, even though it was a discussion of underlying assumptions, and moved it to another section that, although not on assumptions, was specifically about the factorial layout. He again deleted it with the caustic Edit summary: "off-topic promotion of Sawilowski again". The "again" is a reference to Kiefer.Wolfowitz's stalking of any page I edit where he routinely deletes, gets angry, makes personal attacks, etc.

For the case at hand, Kiefer.Wolfowitz deleted something that was appropriately referenced, and he explained on his talk page his justification: Why, he is a statistician!

I'm done working on any page that he edits or stumbles onto. I'm done with mathematicians and mathematical statisticians who insist on ignoring the lessons learned in the past 30 years by applied statisticians. I won't by bullied or stalked anymore, because as long has he and the various editing cabals continue making wikipedia their personal playground, I'll spend my time doing some else.

Actually, I came to your talk page for an entirely different reason, and if we work fast, maybe we can get something done before I get wikified again. On the Anova on Ranks page (which, of course, was a wholesale delete by Kiefer.Wolfowitz from the ANOVA page (he never bothered to read the history pages, or he would have realized I didn't start that section - others did!), my concern is that the "logic of the F test" section is really a redo of what is on the ANOVA page. I came to this page to ask you if you think it should stay, or if the reader should be referred to the ANOVA page. (My opinion is it should stay despite being redundant, because the ANOVA page is so filled with sillyness it is just about useless - just ask anyone in a stat class what they get out of the page - I have).Edstat (talk) 14:10, 19 November 2010 (UTC)

Edstat, you have made the same complaints today and yesterday on my talk page, and on the ANOVA article talk page, at least. Could you try to write only on my talk page, so that others can follow the discussion (if they have a masochist personality). It might be useful for a Wikibreak for you and me both, okay? Sincerely, Kiefer.Wolfowitz (talk) 14:20, 19 November 2010 (UTC)

Jordan–Schur theorem, citing Speiser

I haven't cited Speiser directly there because I'm quoting there what Curtis and Reiner say about Speiser's result. I haven't had a chance to track down Speiser's book yet. The citation for the book, which I'll include as soon as I get a copy, is Speiser, A. (1937). Die Theorie der Gruppen, von endlicher (3rd ed.). Berlin.{{cite book}}: CS1 maint: location missing publisher (link) I don't think I should include the citation until I've actually read it and can get the relevant page numbers, etc. JoshuaZ (talk) 03:29, 19 November 2010 (UTC)

Notablity

Note that when I tagged the math article for lack of demonstration of notability and lack of references, it was a 3 sentence unreferenced stub. It looks much better now, and I have no objection to your removal of the tags, since it appears to satisfy the general notability guideline. For future reference, please read (or reread) WP:N. Your statement that it is notable because famous mathematicians edited it is completely irrelevant to notability as Misplaced Pages defines it, since we require multiple reliable and independent sources with significant coverage of the subject, and are unimpressed by claims of credentials. Thanks. Edison (talk) 21:04, 20 November 2010 (UTC)

I think you misunderstand. I am aware that evidence of notability must appear in the article rather than in the edit history. But the edit history sometimes provides evidence that such details can appear in the article in the near future, because those who edited the article are people who would know what information to add to the article and are continuing to work on it. Michael Hardy (talk) 21:14, 20 November 2010 (UTC)

Do you recall the "Essjay controversy, in which an editor claimed that he had such fine credentials that what he wrote should go unchallenged? I heard an echo of that in your statements that if folks you trust and admire edited an article, then the subject should not be tagged on notability grounds. I still disagree, if that is what your intent is. Any person knowledgable in a field can draft an article in his own sandbox until it meets basic notability standards, complete with references, before moving it to main space. I have done that many times, as opposed to posting a poor stub and leaving it for myself or others sometime later to add references. A tag is not a threat or a condemnation of the article or its editors, but rather the noting that some more work is needed, as was the case here. Edison (talk) 18:57, 21 November 2010 (UTC)

I didn't say it should not be tagged; I said it was why I removed the tag. It can make sense to tag an article and to remove the tag later. This is not comparable to the Essjay situation because in that situation the only reason to think the person had the credentials was his assertion. In this case it's easily verifiable. Michael Hardy (talk) 02:47, 22 November 2010 (UTC)

References matter; "verifiable expertise" of editors does not, in any way, establish notability. I would, however, note the editing history and perhaps the claimed expertise of an editor in deciding whether to tag some amazing new article as a possible hoax. Thanks again for your courtesy in letting me know you had removed the tag. Edison (talk) 20:09, 22 November 2010 (UTC)

quasisymmetric functions

Thanks for improving the page entitled ring of quasisymmetric functions. After making the page and learning more about wiki pages, I realized I should have named it quasisymmetric function so that other people could link to the page in future documents in the most natural way. If you could make this change, I would be much abliged. I don't see how to change the page title.

Sbilley (talk) 00:46, 23 November 2010 (UTC)

Sbilley's proposed title is misspelled, with 7 consonants in a row. In college mathematics or engineering classes, a miss was a good as a mile, and sometimes got zero credit. Edison (talk) 02:37, 23 November 2010 (UTC)

"Edison", I doubt that you ever were denied credit for something like that. More likely you wrote something like

"${\displaystyle \scriptstyle f'(5)\,=\,0}$ because ${\displaystyle \scriptstyle f'\,}$ is a derivative and 5 is a constant, and the derivative of a constant is zero",

and then you thought the grader was splitting fine hairs when you got no credit for it. I've seen many students do things like that. Michael Hardy (talk) 05:04, 23 November 2010 (UTC)

Shyamala Rajender

Hi Michael, I noticed your post about the new Shyamala Rajender article at the Chemistry WikiProject. Just FYI, since the article is a BLP, someone will rapidly challenge it as unreferenced and propose it be referenced or deleted. So, I advise you add some references soon. Regards. EdChem (talk) 05:23, 25 November 2010 (UTC)

Merger of symbolic computation with computer algebra system

You may be interested in Talk:Symbolic computation#Merger with computer algebra system. Yaris678 (talk) 17:23, 25 November 2010 (UTC)

Negative_multinomial_distribution

If you feel you can provide a unbiased, technical and scientific review on the Negative_multinomial_distribution article please read this talk page. A couple of users have attempted to simplify the NMD description and in the process have introduced a number of technical errors. I believe we may need to revert the content to the 11 November 2009 version by User:Atama, if not earlier. Thanks. Iwaterpolo (talk) 18:48, 29 November 2010 (UTC)

Defining a continued fraction with an "infinite expression"

I'd appreciate your input in this discussion of the current lead in of the continued fraction article. —Quantling (talk | contribs) 20:09, 30 November 2010 (UTC)

Proposed deletion of Mishy-phen

The article Mishy-phen has been proposed for deletion because of the following concern:

recently invented term which does not appear to have any great currency or circulation.

While all contributions to Misplaced Pages are appreciated, content or articles may be deleted for any of several reasons.

You may prevent the proposed deletion by removing the {{proposed deletion/dated}} notice, but please explain why in your edit summary or on the article's talk page.

Please consider improving the article to address the issues raised. Removing {{proposed deletion/dated}} will stop the proposed deletion process, but other deletion processes exist. The speedy deletion process can result in deletion without discussion, and articles for deletion allows discussion to reach consensus for deletion.  pablo 15:57, 2 December 2010 (UTC)

Nomination of Vita (rapper) for deletion

A discussion has begun about whether the article Vita (rapper), which you created or to which you contributed, should be deleted. While contributions are welcome, an article may be deleted if it is inconsistent with Misplaced Pages policies and guidelines for inclusion, explained in the deletion policy.

The article will be discussed at Misplaced Pages:Articles for deletion/Vita (rapper) until a consensus is reached, and you are welcome to contribute to the discussion.

You may edit the article during the discussion, including to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. FisherQueen (talk · contribs) 17:05, 4 December 2010 (UTC)

Anova on Ranks

Hi. I asked another editor on their user page a question about the section on explaining the F test but after a few weeks I got no answer. Although I think it helps to understand what is ANOVA on Ranks by taking a few sentences to explain (in a non-mathematical way, ulike the confusing ANOVA page) what it is. However, the explanation may be unnecessary by simply referring the reader to the ANOVA page. If you have a chance, could you please take a look at that page and see if you think the section "Logic of the F test on means" is necessary? Thanks.Edstat (talk) 14:13, 10 December 2010 (UTC)

convention on the sign of Bernoulli number ${\displaystyle B_{1}}$

Hi Michael -- I'm wondering how best to clean up the article on the Bernoulli numbers, and I thought you might be able to give me some advice.

Currently the article is rather confusing, since it uses two different conventions for the sign of ${\displaystyle B_{1}}$, but with the same symbol, with some rather unsystematic remarks here and there which convention is being applied in each case. In some cases the conventions are distinguished by an additional argument and in others they aren't. In trying to get to the bottom of this, my first impression was that ${\displaystyle B_{1}=-1/2}$ is in fact the "conventional convention", and that ${\displaystyle B_{1}=+1/2}$ was mostly being pushed by User:Wirkstoff (e.g. and ), with a POV tendency to call the ${\displaystyle B_{1}=-1/2}$ convention "unfortunate". (See also Talk:Bernoulli_number#No_neutral_point_of_view_-_removed_paragraphs and the link provided there.)

I had arrived at the conclusion that the article should use the "conventional convention" ${\displaystyle B_{1}=-1/2}$ and only mention the other one as an alternative, and should not keep switching between the two and treating them as equally notable, as it currently does, mainly due to Wirkstoff's edits. However, then I came across this edit you made in the article on the Euler–Maclaurin formula, where you state that the Bernoulli numbers are the values of the Bernoulli polynomials at 1 -- this corresponds to the convention ${\displaystyle B_{1}=+1/2}$ (whereas ${\displaystyle B_{1}=-1/2}$ corresponds to the Bernoulli numbers being the values of the Bernoulli polynomials at 0). So I wanted to ask you whether you intentionally used that convention, how notable you think it is and how you think these different conventions should be treated in the article on the Bernoulli numbers. Thanks for any insight you may be able to provide.

(To make things even more complicated, there appears to be a third convention, which treats the even-numbered Bernoulli numbers as a sequence with half the index -- this is used e.g. in de:Bernoulli-Zahl and also in my Taschenbuch der Mathematik ("Handbook of Mathematics") by Bronstein. I guess this convention should also be mentioned?) Joriki (talk) 06:15, 11 December 2010 (UTC)

I seem to recall there was some occasion in one article to follow that other convention. So maybe your edits should be implemented and the other one should be mentioned only where there's an occasion for it. More later...... Michael Hardy (talk) 18:49, 11 December 2010 (UTC)

Telescoping series

Thanks for your note and the correction. I agree that your new version with "this" inserted is better than what I'd written, but the previous version without "this" was at least misleading, if not wrong. "Regrouping" isn't formally defined in the article, and I took it to mean something like "rearrangement" -- I see now that it's intended to mean only placing parentheses around groups of terms, i.e. effectively taking some subsequence of the sequence of partial sums, and with that meaning it's true that "regrouping" depends on the terms converging to zero, but since "regrouping" isn't defined I think "this regrouping" makes it clearer -- alternatives would be to write "this kind of regrouping", or briefly define what's meant by "regrouping".

Have you had a chance to further look into the Bernoulli number convention problem?

Joriki (talk) 01:13, 19 December 2010 (UTC)

Hello. I haven't looked at that closely in the past few days. Pretty soon.... Michael Hardy (talk) 05:16, 19 December 2010 (UTC)

WikiProject Sociology membership

I see that within the last year you have made at least one substantial comment at Misplaced Pages talk:WikiProject Sociology, but you have not added yourself to the project's official member list. This prevents you from, among other things, receiving our sociology newsletter, as that member list acts as our newsletter mailing list (you can find the latest issue of our sociology newsletter here). If you'd like to receive the newsletter and help us figure out how many members we really have, please consider joining our WikiProject and adding yourself to our official member list. Thank you, --_{Piotr Konieczny aka Prokonsul Piotrus| talk} 13:42, 26 December 2010 (UTC)

Indexing sums

Hi Michael!

I want to consult Misplaced Pages's leading mathematical-notation maven.

The article on the Shapley–Folkman lemma is written in only Wiki-markup, for simplicity. However, I don't know how to put proper display subscripts on the summation-symbol; now it looks like in-text LaTeX style.

Finally, the article's Good-Article review is nearing its completion, and would especially benefit now from any advice or criticisms you may have. Thanks again for fixing my bad hyphens some months ago!

Best regards, Kiefer.Wolfowitz (talk) 03:35, 15 January 2011 (UTC)

I LaTeXed the equations formerly troubling the WikiMarkup language. Kiefer.Wolfowitz (talk) 18:50, 16 January 2011 (UTC)

MOS: Italics for sets?

I misunderstood a suggestion, which was correct. Sorry to Jakob for misunderstanding and mis-representing his sound advice. (My eyesight isn't the best.) Apologies to all! Sincerely, Kiefer.Wolfowitz (talk) 19:30, 16 January 2011 (UTC)

I hide the mess, which may be useful for other editors, however.

The reviewer (for GA-article status), Jakob.scholbach, cited the WP MOS and told us to use italics for variables but not for sets or the real numbers. (My reading of the MOS then concur with his, although you can read my initial concerns on the article talk page.) Kiefer.Wolfowitz (talk) 18:59, 16 January 2011 (UTC)

I quote from the talk page:

In the image caption of the Minkowski addition (and anywhere else), only mathematical variables should be italicized. For example Q1+Q2=× should be Q1+Q2=×.

I'll check this. LaTeX uses different conventions.

I don't think so. Even if it does, WP:MOSMATH is quite explicit about this (see especially the subsubsection "Variables"). Jakob.scholbach (talk) 12:16, 27 December 2010 (UTC)

I followed your suggestions. I am sorry if I missed any wrongly italicized sets. Also, I consistently used the WP-hypertext formatting, and removed all LaTeX, for consistency. Kiefer.Wolfowitz (talk) 04:26, 12 January 2011 (UTC)

Done! Kiefer.Wolfowitz (talk) 16:45, 12 January 2011 (UTC)

End of quotation. Kiefer.Wolfowitz (talk) 19:02, 16 January 2011 (UTC)

I am very much inclined to disagree with Jakob.scholbach on this one. Here's something in TeX:

${\displaystyle \sup _{x\in A}f(x).\,}$

The A is italicized. Can anyone cite something in one of the style manuals that says this shouldn't be done? Michael Hardy (talk) 19:06, 16 January 2011 (UTC)

Jakob.scholbach is wrong. Here's what WP:MOSMATH says in the "sets" subsection under "variables":

Sets are usually written in upper case italics; for example:

A = {x : x > 0}

would be written:

''A'' = {''x'' : ''x'' > 0} .

Michael Hardy (talk) 19:09, 16 January 2011 (UTC)

Thanks again, Michael. I am relieved that WP style conforms with mathematics tradition and the recent ISO declaration of mathematical typesetting. Cheers, Kiefer.Wolfowitz (talk) 19:11, 16 January 2011 (UTC)

Myers-Briggs Type Indicator

"Myers-Briggs Type Indicator" is a publication. It is spelled with a hyphen, not an en dash. Could you undo the changes you made, please? Thanks! ThreeOfCups (talk) 03:50, 24 January 2011 (UTC)

If it's a publication, I'd have guessed it would be italicized like a book title. I think I might solicit additional opinions...... Michael Hardy (talk) 03:53, 24 January 2011 (UTC)

It's a trademarked term. Here are links to the official websites of the Myers & Briggs Foundation and the publisher, CPP, showing it with the hyphen:

http://www.myersbriggs.org/my-mbti-personality-type/

https://www.cpp.com/products/mbti/index.aspx

ThreeOfCups (talk) 04:02, 24 January 2011 (UTC)

Blanche Charlet Article

Michael Hardy,

Article: Blanche Charlet.

Would like to invite you to the discussion on Blanche Charlet. There has been a discussion started on her talkpage and would like your feedback. Adamdaley (talk) 00:12, 29 January 2011 (UTC)

Off-Broadway

I see that you have edited Off Broadway before. Please see the discussion on the talk page, as well as the recent edits, and comment if you wish. Best regards, -- Ssilvers (talk) 04:20, 1 February 2011 (UTC)

Proposed deletion

I've just proposed Independent scholar for deletion. Kitfoxxe (talk) 21:28, 2 February 2011 (UTC)

Hello.

You reversed my correction related to ORTHONORMAL matrices.

I think you should do some research or consult true mathematicians. In physics as in econometrics, it is a habit to call orthogonal matrices which are really orthonormal. This is because they usually work with normalized vectors or automatically normalize vectors and matrices. But the true mathematical definitions differ as a perfectly orthogonal matrix, which is not normalized is NOT its transpose-inverse.

Simple example:

A = , is ORTHOGONAL and its transpose is At = BUT: A.At = is obviously not the identity matrix.

There atre two different names because there are two different objects.

Physicists and economists may call it what they want, but in mathemetics, orthogonal does not mean orthonormal.

raphaelcohen@xplornet.com —Preceding unsigned comment added by 74.127.216.162 (talk) 22:17, 4 February 2011 (UTC)

I am a mathtematician and I first encountered the term orthogonal matrix in a geometry course for which the text was Snapper & Troyer's Metric Affine Geometry. I've since seen this definition relied on in many papers, books, seminar and colloquium talks, and in other courses that I took later. I would seem to make sense to call these "orthonormal matrices" instead of "orthogonal matrices", but the latter name became standard in the 19th century and has been so ever since. Michael Hardy (talk) 00:39, 5 February 2011 (UTC)

PS: Also see orthogonal group, in particular where it says the orthogonal groups over the reals are compact. Obviously they wouldn't be compact if your proposed definition of "orthogonal matrix" were relied on. Michael Hardy (talk) 00:41, 5 February 2011 (UTC)

PPS: You might want to pursue this issue at Misplaced Pages talk:WikiProject Mathematics. Michael Hardy (talk) 00:43, 5 February 2011 (UTC)

Proposed deletion of Richard Milner (fiction writer)

The article Richard Milner (fiction writer) has been proposed for deletion because of the following concern:

WP:N -- Can't find any reliable, secondary sources that provide in-depth coverage of this author or either of his two books in order to establish notability under WP:GNG nor WP:AUTH. (Not a BLP, I suspect the preface to one of the books is enough to establish his death in 2003.)

While all contributions to Misplaced Pages are appreciated, content or articles may be deleted for any of several reasons.

You may prevent the proposed deletion by removing the {{proposed deletion/dated}} notice, but please explain why in your edit summary or on the article's talk page.

Please consider improving the article to address the issues raised. Removing {{proposed deletion/dated}} will stop the proposed deletion process, but other deletion processes exist. The speedy deletion process can result in deletion without discussion, and articles for deletion allows discussion to reach consensus for deletion. j⚛e decker 08:41, 5 February 2011 (UTC)

Ptolemy's Theorem

Hi

Your cleanup on this article noted. Thanks.

Neil Parker (talk) 13:47, 6 February 2011 (UTC)

The Signpost interview

"WikiProject Report" would like to focus on WikiProject Mathematics for an upcoming edition of The Signpost. This is an excellent opportunity to draw attention to your efforts and attract new members to the project. Would you be willing to participate in an interview? If so, you can find the interview questions here. Just add your response below each question and feel free to skip any questions that you don't feel comfortable answering. If you have any questions, you can leave a note on my talk page. Have a great day. – SMasters (talk) 04:09, 7 February 2011 (UTC)

Continuous repayment mortgage

Hello Michael

Many thanks again for another cleanup operation on the above article. I will endeavour to read the necessary conventions you refer to. Apologies for creating extra work for you.

Greatly appreciate removal of "too complex" tag - don't think my modest level of Maths is anywhere near deserving such!

Neil Parker (talk) 17:43, 17 February 2011 (UTC)

Proposed deletion of Categorical bridge

The article Categorical bridge has been proposed for deletion because of the following concern:

Tagged as being unencyclopedic since April of 2008. See talk page.

While all contributions to Misplaced Pages are appreciated, content or articles may be deleted for any of several reasons.

You may prevent the proposed deletion by removing the {{proposed deletion/dated}} notice, but please explain why in your edit summary or on the article's talk page.

Please consider improving the article to address the issues raised. Removing {{proposed deletion/dated}} will stop the proposed deletion process, but other deletion processes exist. The speedy deletion process can result in deletion without discussion, and articles for deletion allows discussion to reach consensus for deletion. Guy Macon 04:16, 21 February 2011 (UTC)

BTW, I am walking my way through all the articles with technical tags and will, no doubt, run into math articles again and again, so any criticism or correction of the way I have handled the first few would be very much welcome. Thanks! Guy Macon 05:42, 21 February 2011 (UTC)

Mean of a function

Hi. I have added some text giving an intuition for the mean of a function:

http://en.wikipedia.org/search/?title=Mean&oldid=415287430#Mean_of_a_function

Would appreciate your thoughts. Thanks.

Awaterl (talk) 08:27, 22 February 2011 (UTC)

"Bloch wave - MoM Method" page

I think I may have inadvertently undone some of your style changes, not realizing they were done for compliance with Misplaced Pages standards. I'll go back and put things back the way you had them, but I may not get everything... perhaps a second look on your part may be a good idea. —Preceding unsigned comment added by 173.51.245.17 (talk) 07:29, 24 February 2011 (UTC)

I think you probably got everything. Thanks. Michael Hardy (talk) 16:12, 25 February 2011 (UTC)

Proposed rename

This is just to let you know that I have place a proposed rename at Talk:Sum of squares, an article you have previously be concerned with. Melcombe (talk) 09:51, 25 February 2011 (UTC)

Gilbert Model article

Hi Michael, I saw the comment you left in the body of the Gilbert Model article. I moved it to the talk page as a matter of course. I don't have any expertise in the field and don't think I can make the changes you suggest--but why don't you do it yourself? Leoniceno (talk) 06:07, 28 February 2011 (UTC)

Hyphenation question

Michael, I hope you'll humor a silly formatting question. In the phrase "X-Y-plane", what is the correct kind of dash/hyphen/etc. to use? Also, is "XY-plane" better? I think not, because it suggests that X and Y are multiplied, but maybe this is pedantic. Mgnbar (talk) 19:03, 23 March 2011 (UTC)

I write xy-plane, but I've never thought through the issues nor researched prevailing usages. Michael Hardy (talk) 23:08, 5 April 2011 (UTC)

I was taught to use "x,y-plane", with a comma. It looks good and makes more sense than either a hyphen or juxtaposition. Not sure how best format that here, but in LaTeX it would be "$x\,y$\nobreakdash-plane" Scwarebang (talk) 00:11, 25 March 2012 (UTC)

Where

You asked where the use of a capital "W" on mid-sentence "where"s comes from. In my experience this arises from auto-correct facilities in word-processors such as "Word", where a mid-sentence displayed equation is treated as if that were the end of a sentence and where the option to auto-capitalise the first letter of a new sentence is switched-on. Melcombe (talk) 09:27, 5 April 2011 (UTC)

Interesting. That plus inattention seems to explain it. Michael Hardy (talk) 23:04, 5 April 2011 (UTC)

Fuzzy matrix theory

I think I shed some light there. Perhaps you can form an opinion now? Thanks, Tijfo098 (talk) 18:17, 14 April 2011 (UTC)

equations

hi. Regarding your recent changes to N-sphere: Can you point me to discussion/policy that justifies use of text formatting for displaying inline math symbols rather than using the math tag/environment? - Subh83 (talk | contribs) 06:25, 15 April 2011 (UTC)

It's been discussed repeatedly over the years at Misplaced Pages talk:WikiProject Mathematics, and I suspect also at Misplaced Pages talk:Manual of Style (mathematics). Among the matters discussed are the terrible alignment, thus:

blah blah blah ${\displaystyle e_{2}\,}$, ${\displaystyle e^{2}}$ blah blah blah

and the fact that punctuation gets pushed to the next line as the window geometry varies, thus:

(for example, ${\displaystyle \int _{0}^{\infty }1\,dx}$

) and so on and so on

(and similarly with commas, periods, etc.) and the gross mismatches in size, whereby ${\displaystyle x^{2}\,}$ is three or four times as big as x (this is browser-dependent, I think).

I'll see if I can find particular discussions, although making an exhaustive list of them is probably impossible. Michael Hardy (talk) 15:59, 15 April 2011 (UTC)

Thanks for the pointer. Although I think the use of serif font is important for math formulae (my comment at Wikipedia_talk:Manual_of_Style_(mathematics)#Request_for_comments:_serif_vs._sans-serif). - Subh83 (talk | contribs) 22:41, 15 April 2011 (UTC)

There is this template:

in general it uses at most 2 − 2/W times as many levels as necessary.

Michael Hardy (talk) 02:16, 16 April 2011 (UTC)

Nomination of Gopala–Hemachandra number for deletion

A discussion is taking place as to whether the article Gopala–Hemachandra number is suitable for inclusion in Misplaced Pages according to Misplaced Pages's policies and guidelines or whether it should be deleted.

The article will be discussed at Misplaced Pages:Articles for deletion/Gopala–Hemachandra number until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on good quality evidence, and our policies and guidelines.

Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. —Mark Dominus (talk) 16:25, 15 April 2011 (UTC)

Bicycle and motorcycle dynamics

Thanks for taking a look at the article. I would like to see it be as good as possible, so I have a couple of questions for you.

• It looks like you altered the rendering of some symbols but not all. Did you do just what you had time for, or is there a deeper reason?
• On my browser, the inline LaTeX looks just fine and produces a perfect match for the sympols used in formulae. Switching between LaTeX and HTML, however, produces things like ${\displaystyle v\,\!}$ vs ${\displaystyle v}$ vs v, where the first rendering seems barely recognizable as equivalent to the third to me. Is there a better option, or I just being too picky about the wrong thing?

Thanks again for your help. -AndrewDressel (talk) 14:21, 17 April 2011 (UTC)

Two italicized "v"s are both recognizable as italicized "v"s, but when TeX is used in an inline setting, the the characters often appear three or four times as big as the surrounding letters, and they align badly (e.g. too high or too low, or in the expression "v.", the period ends up on the next line, etc.). And you get things

like this: ${\displaystyle e^{2}\,}$, ${\displaystyle e_{2}\,}$

where the two "e"s should be at the same level but are not. Michael Hardy (talk) 16:56, 22 April 2011 (UTC)

Responding to Tuesday's help desk question

I tool me a while to find this, but it you solve for the tangent in your expression you obtain (essentially) formula (7) here.--RDBury (talk) 15:34, 22 April 2011 (UTC)

Interesting.

Thank you. Michael Hardy (talk) 16:57, 22 April 2011 (UTC)

Rexer DM survey notability dispute

Hello. I am disputing the notability tag added by User:Melcombe to the Rexer's Annual Data Miner Survey article. Do you know of any other independent, reliable sources that demonstrate the topic's notability? Thanks. --Luke145 (talk) 20:21, 22 April 2011 (UTC)

nowrap

Since you seemed to get agitated about nowrap in this edit, let me say first that I sympathize; often there seems to be no rhyme or reason to the use of nowrap. But let me just say two points in favour of nowrap, if properly used for math formulas. First it is maybe easier to type, and read in the source, x = 0 than x = 0 (not so convincing in fact if you can get &nbsp; by clicking). Second, nowrap is ideally suited to be replaced by 'math' so x = 0 changes into x = 0. This is often what I do mechanically when see nowrap in text I'm editing (usually for other reasons). Marc van Leeuwen (talk) 10:11, 28 April 2011 (UTC)

I never objected to the use of nowrap. I objected to the weird way in which it was used without proper spacing, when the whole point of nowrap is to allow such spacing without upsetting the format with line-breaks. Michael Hardy (talk) 13:34, 28 April 2011 (UTC)

why work on deleted page?

Hi Michael, non-Newtonian calculus will soon be deleted, as per the deletion discussion, hope you are aware of this. Tkuvho (talk) 16:53, 28 April 2011 (UTC)

Breaking images

Please be more careful when inserting en-dashes. Your recent edit to Horace Trumbauer broke the display of two images, because you changed hyphens to en-dashes in the filenames, which of course only works if you also rename the images (which you didn't do). --Zundark (talk) 21:39, 6 May 2011 (UTC)

Sorry—I try to be attentive to that. Michael Hardy (talk) 21:10, 7 May 2011 (UTC)

Using lists .

Your list of mathematics terms interests me, as I have used a list of 1,000 of the most common mathematics terms used in primary and secondary school mathematics student textbooks (and OER textbooks like: CNX and CK12's materials)to study how and where they are being used since 1970. The spreadsheet format that I use gives a very quick understanding of the distribution of these terms. The website www.k-12math.info provides the information. I wonder is anyone at Misplaced Pages looking a primary school mathematics content? It seems ever page progresses to higher mathematics - way beyond a primary school educators interest.

Jim Kelly —Preceding unsigned comment added by Jkelly952 (talk • contribs) 00:16, 7 May 2011 (UTC)

Archaic Greek Letters and all that

I have, as you might know from off wiki discussions, been recently trying to improve Texvc. I am starting to get the impression that lots of things that people find annoying about it are not reported as bugs, so if anything occurs to you feel free to drop me a line directly. I am well aware of the big issues, image alignment, and I recently became aware that the image cache never expires (which means some bugs have technically been fixed, but since the images never get re-rendered, the correct rendering never gets passed on to the viewers.

But aside from these issues that occur to you let me know. Mostly I would like someone to talk over my ideas with. I was thinking what is really needed is an <imath> tag for inline math. Even if initially it just renders things with a single dollar sign, it seems necessary to have a distinction between the two if we would like to improve everything as a whole. But maybe that is just me.

Also I would be curious what you think about the choices it makes about which symbols are suitble for rendering as simple html. To me many things should probably include spaces that do not. But issues like -3 give me pause. You don't want ${\displaystyle -3}$ to start rendering as − 3, um... wait those appear the same maybe I should fix that. Well hopefully I made the point a little care should be take at times. So it is always helpful to bounce ideas off other people and try to get a sense of what fixes are important to the community. Thenub314 (talk) 02:54, 7 May 2011 (UTC)

If the "imath" tag can be well-designed, it would certainly be a substantial contribution. Michael Hardy (talk) 21:09, 7 May 2011 (UTC)

I am glad to see this finally came through, but sad to see I caused lots more problems with my other patches.  :( Thenub314 (talk) 23:05, 12 October 2011 (UTC)

Merger proposal

Merge discussion for Isolated prime

An article that you have been involved in editing, Isolated prime , has been proposed for a merge with another article. If you are interested in the merge discussion, please participate by going here, and adding your comments on the discussion page. Thank you. Toshio Yamaguchi (talk) 19:54, 7 May 2011 (UTC)

RFC on combinations

Michael Hardy, I see you're a mathematician. I found the use of falling factorials jarring and less than useful on the article on combinations, and submitted an RFC. Since you have expertise in math, I thought I would solitict your comments there. Thanks. Ann arbor street (talk) 16:11, 8 May 2011 (UTC)

LZ77 LZ78 article

I added a new section to the discussion for this article.

Talk:LZ77_and_LZ78#This_article_needs_some_corrections

Rcgldr (talk) 21:13, 13 May 2011 (UTC)

LZ78 section needs correction and perhaps a rewrite, but I'm not sure who to consult with. The patent reference should be moved elsewhere or removed. In the case of hardware, LZ77 is more popular than LZ78 because it's much easier to implement. For example, if I remember correctly, the patent algorithm description for LZ77 (LZ1) is about 5 pages, while LZ78 (LZ2) is about 14 pages. Rcgldr (talk) 15:15, 12 November 2011 (UTC)

Copulas

Hi Michael Hardy. As you are one of the most active wiki-mathematicians and you once made some edits to the article Copula (statistics), I would like to ask you about something. I would like to develop and improve the latter article. Started with that on sunday, but got completely reverted by some guy who calls probability theory a small subset of statistics... I dont want to start an edit war. could you have a look at my edits and comment? or even better, if you have some time free, help editing? that would be great! I dont insist on the renaming, but the content revertions i do not understand. regards, Philtime (talk) 19:02, 17 May 2011 (UTC)

Misplaced Pages talk:WikiProject Mathematics/Straw poll regarding lists of mathematics articles

In light of your participation in the discussion(s) regarding the treatment of disambiguation pages on the "Lists of mathematics articles" pages, please indicate your preference in the straw poll at Misplaced Pages talk:WikiProject Mathematics/Straw poll regarding lists of mathematics articles. Cheers! bd2412 T 18:55, 23 May 2011 (UTC)

Thank you. Michael Hardy (talk) 20:46, 23 May 2011 (UTC)

Palm calculus

Thanks for commenting on the stub on Palm Calculus. I'm glad you don't disbelieve the assertion :) I've made the first sentence clearer (it studies the relationship between conditional and time-average probabilities, not simply the former in isolation). Could you please remove the "disputed" tag, but leave the "expert needed" tag? Also, it doesn't really matter who Palm was, but I have added his first name anyway... LachlanA (talk) 02:06, 25 May 2011 (UTC)

mess in Random Matrix article

Hello,

it seems that my revision of the random matrix article created an even bigger mess than what was there before, so I need some help/advise from an experienced wiki-person. Basically, the article is now my version, which is far from perfect by itself, with pieces of older versions inserted at arbitrary places by users who feel (perhaps correctly) that I erased important topics. If you would have time to have a look at the article, it would be great.

Thank you very much, Sasha (talk) 18:54, 30 May 2011 (UTC)

Thanks a lot!!!

Sasha (talk) 18:10, 3 June 2011 (UTC)

Main page appearance

Hello! This is a note to let the main editors of this article know that it will be appearing as the main page featured article on June 5, 2011. You can view the TFA blurb at Misplaced Pages:Today's featured article/June 5, 2011. If you think it is necessary to change the main date, you can request it with the featured article director Raul654 (talk · contribs) or at Misplaced Pages talk:Today's featured article/requests. If the previous blurb needs tweaking, you might change it—following the instructions of the suggested formatting. If this article needs any attention or maintenance, it would be preferable if that could be done before its appearance on the Main Page so Misplaced Pages doesn't look bad. :D Thanks! ۞ Tbhotch & (ↄ), Problems with my English? 04:03, 4 June 2011 (UTC)

The logarithm of a number is the exponent by which a fixed number, the base, has to be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3: 1000 = 10 = 10 × 10 × 10. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by scientists and engineers to perform computations using slide rules and logarithm tables. These devices rely on the fact—important in its own right—that the logarithm of a product is the sum of the logarithms of the factors. Logarithmic scales reduce wide-ranging quantities to smaller scopes. For example, the decibel is a logarithmic unit quantifying sound pressure and voltage ratios. Logarithms describe musical intervals, measure the complexity of algorithms, and appear in formulas counting prime numbers. They also inform some models in psychophysics and can aid in forensic accounting. (more...)

General minimum distance(GMD) decoding listed at Redirects for discussion

An editor has asked for a discussion to address the redirect General minimum distance(GMD) decoding. Since you had some involvement with the General minimum distance(GMD) decoding redirect, you might want to participate in the redirect discussion (if you have not already done so). Inks.LWC (talk) 05:21, 6 June 2011 (UTC)

thanks for all the cleanup!

Sasha (talk) 06:41, 20 June 2011 (UTC)

Saros vs. saros

'saros' w/o the capitalization is indeed correct. (refer to "Totality, by Espinak, et. al.) There are probably thousands of instances with the wrong capitalization. I figured to just roll with it, but I think you've appropriately determined that it is not a good idea to capitalize a noun that is not a proper noun. --TimL (talk) 22:44, 22 June 2011 (UTC)

as to your (M.H.) question, who is Saros, see : it is just a Greek word (after a semantic shift). Sasha (talk) 23:22, 22 June 2011 (UTC)

I find it done both ways on the web. If some convention requires capitalizing it even though it's not anything like a proper noun, I think that should get explained in the article, otherwise reasonable people will wonder who it's named after: someone named Saros, but what's his first name and where's the Misplaced Pages article about him? Michael Hardy (talk) 03:07, 23 June 2011 (UTC)

In the Oxford American Dictionary and any other dictionary I've looked up 'saros' in, it is a common noun. I don't think this is about convention, but proper grammar. NASA's entire eclipse website capitalizes 'saros' (probably only because the sight has no professional editor), that doesn't make it right. Interestingly, the same author of NASA's eclipse website, in a published work (the above mentioned book "Totality") does not capitalize 'saros' or if he did, it was simply edited. --TimL (talk) 12:06, 23 June 2011 (UTC)

Opinion?

Cf. en:Talk:Monic polynomial#A separate article; no dummy iw-links. Best, JoergenB (talk) 18:06, 23 June 2011 (UTC)

Edits to Meridian arc

May I just say that the use of a mid-height dot for the decimal point was traditionally taught in British schools. It preserves the distinction between the decimal point and the full stop, a distinction which helps when a decimal number occurs at the end of a sentence. I would certainly raise the decimal points in handwritten work. The use of the same symbol for both is laziness in English although normal in, say, German. Furthermore, the distinction of phi and varphi is a matter of taste, not of substance. I simply preferred to use phi in my major rewrite of this article since I find varphi rather inelegant. Neither of these edits added to the content of the article but I shall not trouble to undo them. Peter Mercator (talk) 16:33, 25 June 2011 (UTC)

The use of the middot as a decimal point fails to preserve the distinction between that and the other frequent use of the middot for multiplication. Michael Hardy (talk) 16:44, 25 June 2011 (UTC)

Integer broom topology

Thanks for your recent edits. I was wondering about the change from Integer Broom to integer broom. I thought about this myself, and then decided that because it's the name given to the space then it should be in capitals. We write Coca Cola and not coca cola, after all. — Fly by Night (talk) 03:36, 27 June 2011 (UTC)

Hello? — Fly by Night (talk) 03:47, 27 June 2011 (UTC)

(Doesn't strike me as comparable to Coca Cola. Anyway, certainly Misplaced Pages is generally sparing in the use of capitals.) Michael Hardy (talk) 03:52, 27 June 2011 (UTC)

Names always have capital letters like Michael Hardy for example. I know a man called Michael Hardy, I have a Ford card, I bought a can of Coca Cola, we consider a topological space called the Integer Broom. I'm just wondering why you changed it when it goes against standard English usage. What is/are the relevant section/s of WP:MOS and/or WP:MOSMATH? — Fly by Night (talk) 03:56, 27 June 2011 (UTC)

Can you please review

Hello,

I did found an extension for binomial distribution and I need someone to review it and tell me is it really novel as I didn't find anything like it anywhere.

Thanks Ofermano (talk) 03:35, 29 June 2011 (UTC)

Italic in HTML

Hi,

what is the convention you adhere to regarding Greek italic? I thought that variables should be italic, whereas π=3.14 should be plain, but you corrected me a couple of times.

Thanks, and sorry for the chutzpah (on behalf of someone like me who has just learned what is the MOS) — I am asking in the hope that if I learn the conventions, it will eventually save your time too.

Sasha (talk) 18:14, 29 June 2011 (UTC)

In non-TeX mathematical notation, I've tried to follow the rule of italicizing precisely the things that would be italicized in TeX. Thus:

${\displaystyle \lambda \Lambda \pi \Pi \sigma \Sigma \,}$

You see capital Greek letters not being italicized, but lower-case Greek letters in italics. Michael Hardy (talk) 18:25, 29 June 2011 (UTC)

PS: I'd write π = 3.14 with spaces before and after "=". I usually make them non-breakable spaces. Or I might write π = 3.14, using the "pi" template. Michael Hardy (talk) 18:25, 29 June 2011 (UTC)

thanks! Sasha (talk) 18:43, 29 June 2011 (UTC)

I've raised this point at Wikipedia_talk:WikiProject_Mathematics#Italicizing_Greek_letters_in_mathematical_notation with a view toward emending the manual at WP:MOSMATH. Michael Hardy (talk) 18:46, 29 June 2011 (UTC)

thanks again. I will follow the correspondence there. Sasha (talk) 06:02, 30 June 2011 (UTC)

I have looked at the revised version; in the example there the constant 3.14 is still π (not italic), as opposed to π denoting a variable. In our discussion above, you used italic in both cases. Do you think this should be changed in MOS too? Thanks again (and 10 more times in advance for the times I will probably bother you with different issues in the near future), Sasha (talk) 10:25, 6 July 2011 (UTC)

pentagram map editing tips.

Hi Michael, thanks for those tips. I'll try to use them next time I do some editing. RichardEvanSchwartz (talk) 19:55, 29 June 2011 (UTC)

Re:Max-min inequality

Ah I didn't realise that format was in the other articles as well. The reason I tagged it as unencyclopedic is because there was so little content, I thought it was inappropriate for Misplaced Pages. I never looked at the other articles (as I discovered the max-min equality article while patrolling Special:Newpages) to see if they had the same format, but at least many of the other articles have more content. Have a nice day, SwisterTwister talk 04:47, 5 July 2011 (UTC)

By format I was talking about the math display. SwisterTwister talk 22:00, 5 July 2011 (UTC)

Question about requesting reviews

Hi Michael Hardy. Is the best way to request review for a mathematics article to post a request at the talk at Wikiproject Mathematics page? I know you have looked at the first paragraph of a few of my articles (but perhaps not enough to delete the "unreviewed article" flag). I was hoping to get them reviewed so that the flag would be deleted sometime soon, and I would appreciate any input on how to speed up this process. Maybe you know someone especially interested in reading algebra articles? Good day: Rschwieb (talk) 14:15, 6 July 2011 (UTC)

That's probably the best place to ask people to look at it. Unlike the talk pages of most WikiProjects, people read that page and post to it every day. Michael Hardy (talk) 17:47, 6 July 2011 (UTC)

Thanks, and thanks for the formatting improvements! Rschwieb (talk) 12:30, 7 July 2011 (UTC)

Common logarithm

I mentioned an old bad edit of yours at Talk:Common logarithm. Maybe you have a good fix. Dicklyon (talk) 04:25, 9 July 2011 (UTC)

Amy Winehouse

Thank God there's someone else who's sensible in this place. I spent the last 15 minutes trying to replace that bloody em-dash with an en-dash but kept getting edit conflicted. BigDom 17:00, 23 July 2011 (UTC)

John Edward Anderson

You are right, there are two articles about him now. John Edward Anderson and John Anderson (philanthropist). I'm absolutely sure they were the same man. Calle Widmann (talk) 19:33, 30 July 2011 (UTC)

Nomination of Synthetic logic for deletion

A discussion is taking place as to whether the article Synthetic logic is suitable for inclusion in Misplaced Pages according to Misplaced Pages's policies and guidelines or whether it should be deleted.

The article will be discussed at Misplaced Pages:Articles for deletion/Synthetic logic until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on good quality evidence, and our policies and guidelines.

Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. Ozob (talk) 01:32, 1 August 2011 (UTC)

suspicious article

Hello Michael,

as usual, I need some advise. I have bumped into the article Boris Katz; it seems a good candidate for deletion (or at least major revision), but I am not sure which tag to place. The obvious issues are a) notability, b) hidden advertisement in the article, and c) no secondary sources. Could you please have a look?

Thanks, Sasha (talk) 04:12, 1 August 2011 (UTC)

Thanks! I saw you improved it a bit.

Sasha (talk) 19:15, 10 August 2011 (UTC)

Proposed deletion of Equidistant

Hi! I contested your prod of Equidistant, before realising you probably know at lot more about what you're doing than I do - sorry. If you nominate the article for deletion, I'll lend my support. Maethordaer (talk) 14:56, 2 August 2011 (UTC)

Theorema Quartum

Hello Michael

In the article on Ptolemy's Theorem there are sections on 'Theorema Tertium' and 'Theorema Quintum' but so far 'Theorema Quartum' has been left out because it is not strictly an application of Ptolemy's Theorem. It is however a neat geometrical device for determination of sine of half angles. Would appreciate your opinion on including it for the sake of completing the detail on how Copernicus derived his table of 'half chords' (aka sine table).

Neil Parker (talk)

I'm going to need to dig the Almagest out of the library again at some point.... Michael Hardy (talk) 03:38, 11 August 2011 (UTC)

Or check the Copernican section of Hawking's book: On the Shoulders of Giants, Hawking, S 2002, Penguin Books. ISBN 0-14-101571-3. Alternatively if your 16th Century Latin is up to it: De Revolutionibus Orbium Coelestium: Liber Primus: Theorema Quartum.

Neil Parker (talk) 16:00, 16 August 2011 (UTC)

File:Circumcircle.angles.png listed for deletion

A file that you uploaded or altered, File:Circumcircle.angles.png, has been listed at Misplaced Pages:Files for deletion. Please see the discussion to see why this is (you may have to search for the title of the image to find its entry), if you are interested in it not being deleted. Thank you. Calliopejen1 (talk) 19:48, 8 August 2011 (UTC)

To Michael

Hi Michael, your attention is welcome here --Yamsahh (talk) 16:09, 18 August 2011 (UTC)

Merge discussion for Generalized scale-free model

An article that you have been involved in editing, Generalized scale-free model, has been proposed for a merge with another article. If you are interested in the merge discussion, please participate by going to the article and clicking on the (Discuss) link at the top of the article, and adding your comments on the discussion page. Thank you. Joe Schmedley 16:07, 21 August 2011 (UTC)

Template talk:SmithDGRA

Hi Michael, I've (finally) taken a look at the comment you left on Template talk:SmithDGRA, and replied there. Paul August ☎ 12:59, 30 August 2011 (UTC)

Thank you. I've edited Praetor accordingly. Michael Hardy (talk) 18:50, 30 August 2011 (UTC)

Context

Thanks for the suggestions on metric compatibility. I spent very little time writing that stub, just enough to prevent the link from shorting to the typeface page. If you have ideas for further improvements or know of a way of merging it into another page, then by all means go right ahead. Teply (talk) 21:15, 2 September 2011 (UTC)

Mixed volumes

Hi,

thank you very much for the revision!

• "−" vs. "-" (and other violations of html-MOS): sorry, this was not on purpose

• "position" vs. "positions": I am not a native speaker, so I do not want to revert your change unless you approve it, but I think it should be singular rather than plural (I would write "the positions of the bodies", but only one "relative position").

• could you please explain the issue with spaces for png (at the end of a formula)? I do not quite understand what is the error I keep on making. I usually place a space between TEX and a punctuation sign (for aesthetical reasons that hopefully do not contradict MOS), how does this affect png?

Best regards, Sasha (talk) 19:41, 3 September 2011 (UTC)

I understand your point concerning "relative position"; I'm going to think about this a bit further. In things like

<math> 2 + 3 = 5 </math>

Some editors write

<math> 2 + 3 = 5 \, </math>

and the \, at the end is intended to force png rendering, so that it will look like this:

${\displaystyle 2+3=5\,}$

rather than like this:

2 + 3 = 5.

When there is a comma or a period at the end, one does something like this:

<math> 2 + 3 = 5, \, </math>

so that it looks like this:

${\displaystyle 2+3=5,\,}$

but I've seen some people writing this:

<math> 2 + 3 = 5\, , </math>

or this:

<math> 2 + 3 = 5~, </math>

and my suspicion is that they do that because they've seen things like this:

<math> 2 + 3 = 5 \, </math>

and they conclude that some space is needed after the 5.

Michael Hardy (talk) 03:33, 4 September 2011 (UTC)

Thanks for the detailed explanation!

I am usually adding the tilde (in my papers as well as in wiki articles) to have some space between the formula and punctuation. Sometimes it prevents confusion, e.g.

${\displaystyle 24=4!~.}$

versus

${\displaystyle 24=4!.\,}$

(one can make this even more dramatic with an exclamation mark:) I was not aware of the png issue, now I will keep it in mind.

Best regards,

Sasha (talk) 04:13, 4 September 2011 (UTC)

Nomination of Layman for deletion

A discussion is taking place as to whether the article Layman is suitable for inclusion in Misplaced Pages according to Misplaced Pages's policies and guidelines or whether it should be deleted.

The article will be discussed at Misplaced Pages:Articles for deletion/Layman until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on good quality evidence, and our policies and guidelines.

Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion template from the top of the article. S Larctia (talk) 19:30, 6 September 2011 (UTC)

Lennard-Jones

...is one guy. Can you repair the mess you made here please? You can use the excess en dashes in ion–protein and ion–water instead. Dicklyon (talk) 04:06, 8 September 2011 (UTC)

Apologies...

Thanks very much for all the millions of incorrect capitals you have corrected in a couple of articles I initiated (Defining equation (physics) and Mathematical descriptions of physical laws). I have a terrible quirk of using capitals for everything when I write titles and nouns. I never thought it mattered, but looking at other articles, they all only use capitals for the first letter. Apologies you had to waste all that time when you could be using it. You could have just told me off to correct them myself to be honest though - I wouldn't have minded. Yours and thanks again, Maschen (talk) 19:01, 12 September 2011 (UTC).

Layman

Since you participated in this recent AFD you might be interested in this follow up discussion.TMCk (talk) 14:41, 15 September 2011 (UTC)

Cochran's C test

Michael, thanks for your constructive edit on "my" article about Cochran's C test! Ruben --Rtlam (talk) 11:41, 24 September 2011 (UTC)

Theory TK of Visual Proportions

Michael Hardy, I would like you to read the new version of The Theory TK of Visual Proportions. --EspaisNT (talk) 17:32, 27 September 2011 (UTC) --EspaisNT (talk) 17:41, 27 September 2011 (UTC)

Shapley-Folkman lemma: Featured Article Candidate

Dear Michael,

You are the best expert at formatting issues. The Shapley-Folkman lemma is being reviewed at FAC, and this would be a great chance to catch formatting errors or make any improvements.

Thanks for your past help.

Best regards,  Kiefer.Wolfowitz 04:14, 28 September 2011 (UTC)

Hi again, Michael!

The article has no opposes and three formidable supports, FA juggernaut Malleus Fatuorum and two experienced economists & Wikipedians (Protonk and Volunteer Marek). Protonk suggested that I renew my requests for volunteer reviewers.

The article has a section on probability and measure theory that may especially interest you.

Cheers,  Kiefer.Wolfowitz 09:48, 7 October 2011 (UTC)

Thanks a lot for your help!  Kiefer.Wolfowitz 17:08, 7 October 2011 (UTC)

Erhan Cinlar and Christian Houdre

Hello Michael, You are invited to contribute to the sections of Erhan Cinlar and Christian Houdré to help us making it better. Thank you. AaronKauf (talk) 19:26, 28 September 2011 (UTC)

Shailaja.k

Hi i noticed your edits on Dummy variable (statistics). There was some error in the changed equations. I have rectified them. also, about the paragraph that has been added on the dummy variable trap in the section "incorporating a dummy independent variable": i have explained the dummy variable trap in detail in the section "precautions in the usage of dummy variables". so can that paragraph be removed? it has been repeated. Thanks. Shailaja.k (talk) 20:12, 13 October 2011 (UTC)

Grammar question

Could you chime in at Talk:Fixed point combinator#Requested move? Cheers, —Ruud 20:06, 20 October 2011 (UTC)

New Page Patrol survey

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Proposed deletion of Manifold (automotive)

The article Manifold (automotive) has been proposed for deletion because of the following concern:

Page no longer needed; Incomplete disambiguation (see WP:INCDAB]]). Items have now been merged with Manifold (disambiguation) where they will be more easily found.

While all contributions to Misplaced Pages are appreciated, content or articles may be deleted for any of several reasons.

You may prevent the proposed deletion by removing the {{proposed deletion/dated}} notice, but please explain why in your edit summary or on the article's talk page.

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hello michael the genius i just added a few topics to index of wave articles, should i add wave equations to it, how do i add that topic page to another page as a add on. user shawn laser lightning plasma — Preceding unsigned comment added by Shawn laser lightning plasma (talk • contribs) 09:07, 1 November 2011 (UTC)

Pythagorean

I notice you have created List of things named after Pythagoras, which seems to be a content fork of Pythagorean. I was tempted to add a speedy tag, but perhaps I am missing something?-- 202.124.72.91 (talk) 06:44, 10 November 2011 (UTC)

In some cases, like list of things named after Leonhard Euler or list of things named after Bernhard Riemann, there should be a page with that title. In this case, maybe there are reasons to merge the two. I'll ponder this further. Michael Hardy (talk) 20:08, 12 November 2011 (UTC)

Joan Francés Fulcònis

Hello, I added two references on this article (the edition listed in the bibliography was in fact a critical study of the primary souce - Fulconis' incunable - and the result of a thesis dissertation that I added). As an Occitan Language writer, Fulconis was studied by Robert Lafont, an occitan critic whose main work on occitan literature I listed in the bibliography. I copied a quote from this book and quickly translated it, but this translation definitively needs to be revised since, as you can see, english is not my mother tongue.

Please tell me if the could be enough.

Sincerely, --Lembeye (talk) 12:28, 10 November 2011 (UTC)

Usage share of operating systems

There is an ongoing poll on consensus in using median. As You commented in a related discussion, I would ask You to vote there. — Dmitrij D. Czarkoff (talk) 16:44, 10 November 2011 (UTC)

Statistical proof

Hi Michael. You might like to check what is happening to Statistical proof since you've been there before! Tayste (edits) 01:44, 11 November 2011 (UTC)

Multivariate Normal Distribution

I'd also invite your comment on the Talk:Multivariate_normal_distribution#Building_a_consensus page regarding how to best to present the MVN in the positive definite / non-negative definite cases. Marc.coram (talk) 06:30, 12 November 2011 (UTC)

Joan Francés Fulcònis

Hello, please, may I ask you if, with the sources I added, you think it could be possible to remove the tag concerning sources. Thank you. Sincerely. --Lembeye (talk) 13:06, 16 November 2011 (UTC)

I don't think I'm the one who added that tag to the page. Michael Hardy (talk) 04:31, 17 November 2011 (UTC)

Sorry and thanks.--Lembeye (talk) 13:46, 17 November 2011 (UTC)

out-of-context so-called "definition"

How is anyone who doesn't already know all about the t-distribution supposed to understand this when you omitted all explanation of what t values are and the fact that this applies to populations that are normally distibuted? Michael Hardy (talk) 14:06, 13 November 2011 (UTC)

Regarding the above. I see your point. I took the definition from a standard text but I guess it was out of context. If you could add the examples of scenarios where T-Test can be use and where it can't be used, it would be great. Thanks--History Sleuth (talk) 22:18, 28 November 2011 (UTC)

Geometric function theory

You might have noticed that I am adding quite a lot of content on this topic, particularly on univalent functions. So far that subject is in a very poor state. Adding the content takes time and involves a series of inter-related articles, that could possibly at some stage become a wikipedia category. In particular there is at present no adequate material on singular integral operators (Cauchy transforms) on curves. I intend to write that material in the near future. I would appreciate it if you could please not tag articles as orphans or for rescue in the immediate future, as it sends out a very mixed signal. Up until now, very few others have added content in this subject. (Of course, Oded Schramm was an expert contributor.) Please be more patient. Thanks, Mathsci (talk) 12:05, 8 December 2011 (UTC)

Latex and mbox

I've come across the essay against the use of \mbox which you appear to have written. It is good to know that \text can be used in <math> formulas in WP, and I will do so when convenient. However, I think the essay does not properly represent the role of \mbox in LaTeX, and when I started using \text as you suggested I was in for a surprise: namely the macro \text is not defined in basic LaTeX. After playing around a bit I found out that it is actually a functionality added by the amstext package (loaded through amsmath). For WP (and stackexchange) it is OK, since amsmath is apparently loaded when processing math formulas. However, when your essay is trying to educate general LaTeX users, I think that it should be a bit more nuanced about this, and at the very least mention that a package is required for getting \text to work.

Also I don't get the point you make when you say "When LaTeX is used in the normal way, as opposed to being used on web pages, \mbox does not have the effect of causing things to appear in text mode; nor is that its purpose". It certainly does break out of math mode (so spaces no longer are ignored, and many other changes of handling occur), and takes over the attributes of the surrounding text mode (it will for instance use text italics if you happened to be inside a theorem). In fact as far as I can tell \text does quite the same things, except that it tries to adapt intelligently (and no doubt somewhat expensively) to the place in the formula in which the text appears. Indeed, I've checked the definition, and apart from size fiddling, \text ultimately reduces to an \mbox (or more precisely, both reduce to an \hbox primitive), Really, if the purpose is to put some side condition in text to a displayed equation, where logically one would want to match the text surrounding the display, I don't see any reason why using \mbox should be considered inferior to using \text.

Just one more related point, I've found that in WP both \mbox and \text have the annoying limitation of not allowing to switch back to math mode as one would do in LaTeX (the limitation is really in the lexing rules for math formulas). So the following fails:

:<math>\binom nk=0\qquad \text{if $k<0$ or $k>n$}</math>

and one has to revert to the ugly

:<math>\binom nk=0\qquad \text{if }k<0\text{ or }k>n.</math>

Note that in StackExchange one can use the former in displayed math (but not in text math; although it is hardly useful in text math, I find this curious). Marc van Leeuwen (talk) 13:02, 11 December 2011 (UTC)

question about line break

Hi,

is there a way to prohibit a line break between ℓ and its indices in the formula ℓ
_p? MOS does not even mention nbsp, even less so the (deprecated) nobr et cet.

Thanks, Sasha (talk) 03:54, 17 December 2011 (UTC)

I'm not sure, but the "nowrap" template comes to mind. Michael Hardy (talk) 19:23, 17 December 2011 (UTC)

thanks! Sasha (talk) 20:14, 17 December 2011 (UTC)

Typesetting summation indices

Hi. I was referred to you by Trovatore. I am hoping you could help me typeset a summation with a multiline subscript index. Usually when using LaTeX I use the \substack command but unfortunately Misplaced Pages can't parse it. I am trying to create a sum where the index is n = 0 with the additional condition n odd. Also, when using \mbox for the "odd" part the text is rendered larger than the rest of the condition. Your advice would be appreciated. Thank you. NereusAJ (talk) 05:55, 23 December 2011 (UTC)

I think I've used "smallmatrix" for that: \sum_{\begin{smallmatrix} i \ge 0 \\ i\ne 6 \end{smallmatrix}}

${\displaystyle \sum _{\begin{smallmatrix}i\geq 0\\i\neq 6\end{smallmatrix}}}$

Michael Hardy (talk) 21:58, 23 December 2011 (UTC)

Thank you. NereusAJ (talk) 02:27, 24 December 2011 (UTC)

Grain Boundary Strengthening - Subgrain Strengthening

Dear Michael,

I made an edit on the stated article Grain Boundary Strengthening in the subsection "Subgrain Strengthening". I saw that you had written that the Hall-petch relation breaks down at subgrain sizes of approximately 0.1nm. This seemed rather unphysical (as it is about the size of an atom...) so I read the article you cited. It stated that the Hall-Petch relation broke down at around 8µm and the λ^{-1} broke down at 0.1µm, so I assumed that you had made a typo and you really meant 0.1µm, as this was the length scale discussed in the article. Is this true, do you agree with this change?

I look forward to hearing your opinion.

Yours sincerely,

Gloriphobia (talk) 13:27, 24 December 2011 (UTC)

I did some copy-editing on that article, but I don't recall that I changed anything about that. Michael Hardy (talk) 21:25, 24 December 2011 (UTC)

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Polygon/polytope density - merge articles and rename

Proposed at Talk:Polytope density — Cheers, Steelpillow (Talk) 12:33, 30 December 2011 (UTC)

Many thanks! — Cheers, Steelpillow (Talk) 15:46, 7 January 2012 (UTC)

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Nevanlinna theory

Hi,

Pym1507 has recently expanded the article Nevanlinna theory (to my modest opinion, it is now very nice and readable). Could you please have a look at the formatting and other conventions?

Thank you very much, Sasha (talk) 23:53, 7 January 2012 (UTC)

Descriptive statistic(s)

It is also a count noun with a singular form: the arithmetic mean is one statistic that can be used in summarizing a data set, the median is another such statistic; these two statistics are each generally much more useful for descriptive purposes than the mode. Note that the term descriptive statistic is actually used in this sense in the article. But I agree that the mass-noun sense of descriptive statistics is more common than this count-noun sense, and is the meaning covered by the referenced textbook.  --Lambiam 10:11, 14 January 2012 (UTC)

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Linking to Scholarpedia

• Fnfal (talk · contribs · deleted contribs · logs · filter log · block user · block log)

Hello Michael. I have the impression you might be a participant in Scholarpedia. See the contributions of Fnfal, who is adding links to Scholarpedia to a lot of fluid mechanics articles. It seems there might be some way WP could cooperate with those folks, but Fnfal's activity risks being seen as conventional spam. Generally, Fnfal adds links to work by Gregory Falkovich. Do you have any suggestions? Thanks, EdJohnston (talk) 17:35, 19 January 2012 (UTC)

I clicked on several of his recent edits and didn't see any in which he added links to Scholarpedia. If they're in the external links section and link to relevant articles, how do they risk being seen as spam? Michael Hardy (talk) 18:46, 19 January 2012 (UTC)

Sorry, I should have written down the diffs that I found. Since I can't reproduce my original finding, I started over by scanning through all the 485 links from Misplaced Pages to Scholarpedia that still exist and most of them seem fine. It is always embarrassing when the Scholarpedia article is better than ours! EdJohnston (talk) 03:39, 20 January 2012 (UTC)

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This is one of those (rare?) instances where it's a good idea to link to a disambiguation page from something that's not just a redirect. Michael Hardy (talk) 03:05, 22 January 2012 (UTC)

Creating article

Can you help me with my article so that it appears better on Ramanujan's master theorem. http://en.wikipedia.org/Ramanujan%27s_Master_Theorem (Sumitkumarjha75 (talk) 04:05, 23 January 2012 (UTC))

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Newbie thanks you for bringing to her attention that we use sentence case in headings

Thanks for cleaning up the headings on the box counting page. I'm new...I'll get it right eventually. Akarpe (talk) 18:17, 2 February 2012 (UTC)

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To Michael Hardy about the definition of product

Dear Michael Hardy,

With regards, I found this definition for product in wikipedia:

"In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied."

I have no problem in 3 x 4 = 12, 12 is product but why you mentioned 3 x 4 is also product. I couldn't find the later one in any other reference.

Thank you, Sohrab. — Preceding unsigned comment added by 74.14.6.183 (talk) 05:35, 29 February 2012 (UTC)

In other words, for example, "1 + 2 + 3" is a sum and "1 × 2 × 3" is a product. I don't think I wrote that sentence, but it seems like a commonplace usage. Michael Hardy (talk) 16:40, 29 February 2012 (UTC)

About the definition of the Product

Dear Michael,

Thank you for your reply. I tried to find the definition of product. I followed the link http://en.wikipedia.org/Product_(mathematics) and in both references in the bottom of the Misplaced Pages page (Wolfram Mathworld and PlanetMath) I found the definition of product : 1. In Wolfram: The term "product" refers to the result of one or more multiplications. For example, the mathematical statement a×b=c would be read "a times b equals c," where c is the product. 2. In PlanetMath: The word product in mathematics generally means the result of some type of multiplication operation.

Please take a look:

http://mathworld.wolfram.com/Product.html

http://planetmath.org/?op=getobj&from=objects&id=7710

Also to these links:

http://www.mathwords.com/p/product.htm

http://ahdictionary.com/word/search.html?q=product

http://dictionary.reference.com/browse/product

http://www.thefreedictionary.com/mathematical+product

http://www.thefreedictionary.com/product

http://www.vocabulary.com/definition/mathematical%20product

http://www.audioenglish.net/dictionary/mathematical_product.htm

In all references they mentioned the product is just the result not multiplied factors. I am interested on this, please send me any other references if you have about the definition of product which declared product is "an expression that identifies factors to be multiplied" also.

Thank you again, Sohrab. — Preceding unsigned comment added by 74.14.6.183 (talk) 12:34, 1 March 2012 (UTC)

I think in a somewhat formal context that is how it is defined. Mathematicians speaking informally may say "I would like to prove that the following products are both equal to 5:

${\displaystyle \prod _{i\in A}x_{i},}$

${\displaystyle \prod _{j=1}^{10^{90}}y_{j}.}$

Michael Hardy (talk) 16:26, 1 March 2012 (UTC)

I've taken this discussion to this page. Michael Hardy (talk) 16:26, 1 March 2012 (UTC)

Numbers to numerals page moves

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Thank you

For your help with Taylor's law. Im not very good with the mathematical mark up system.DrMicro (talk) 14:27, 10 March 2012 (UTC)

Slovene numerals

Hello Michael Hardy, I noticed that Slovene numerals is now a redirect loop, as the page now redirects to itself. According to the page logs, it looks like you tried to perform a page move on March 4th, but it appears the page history wasn't restored. If you have time, could you please take a look. Thank you, Alpha_Quadrant (talk) 01:54, 11 March 2012 (UTC)

Hello. I don't know how that happened, but now I've restored the edit history. Michael Hardy (talk) 04:19, 11 March 2012 (UTC)

Thanks for looking into this, I appreciate it. Best, Alpha_Quadrant (talk) 16:04, 11 March 2012 (UTC)

Thank you Michael

for all the things you do to make Misplaced Pages a better place. Best, Btyner (talk) 02:51, 27 March 2012 (UTC)

Thank you Btyner; it's nice to know people notice stuff I do here. Michael Hardy (talk) 22:55, 29 March 2012 (UTC)

I concur with Btyner, and I am sure I am not the only one here. Sasha (talk) 02:26, 30 March 2012 (UTC)

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Gentry

Nikkimaria has drastically forced on the article Gentry an solitary, unparalleled and uncompromising destruction of an article in the name of summarizing. Under the disguise of summarizing she exchanges material for other material. Yes, reducing was needed and it has been done. The galleries and images in the Gentry article have already been over 50% reduced in the spirit of cooperation. Still the reduction continues. Please help in the discussion. The changes have been major and constructive discussion would bee needed on the Gentry talk page. Thank you. Major Torp (talk) 12:26, 21 April 2012 (UTC)

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A priori

Please be WP:CIVIL. I do lots of disam work and it's not always on things I'm on "expert" on. So mistakes will be made. --User:Woohookitty 05:23, 24 April 2012 (UTC)

The particular edit I commented on looked at the time like a case of hasty inattentive editing, and it still seems a bit odd that that might not have been what it was. The meaning of "a priori" that was used there was merely the conventional one rather than one of the particular uses in specialized fields. Michael Hardy (talk) 02:46, 26 April 2012 (UTC)

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Orphan status for Fréchet inequalities

Thanks for your attention to this article. I think it did have one link to it originally (from "Probability bounds analysis"), but I've added several others in addition to the one you added. There are now 7 distinct articles that link to it, and it also appears in 4 categories. As I read the policy on orphans, this would seem to be sufficient to warrant removing the {{orphan}} tag. I shall try to do this now, but confess in advance that I might be clumsy. Scwarebang (talk) 08:34, 7 May 2012 (UTC)

Talkback

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tensoritis

I just saw a note you sent to a new contributor about the possible meanings of "tensor." Are you familiar with Alfred Bester's (the real one, I mean):

Tenser said the tensor
Tenser said the tensor
Tension, tension, apprehension,
and dissension
have begun.

(Slightly modified from The Demolished Man.) P0M (talk) 01:00, 21 May 2012 (UTC)

Talkback

Hello, Michael Hardy. You have new messages at TheGeneralUser's talk page.
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TheGeneralUser (talk) 17:23, 3 June 2012 (UTC)

Tychonoff cube

Dear Michael Hardy, in your last edition of the Tychonoff cube you changed \Pi by \Prod, but the first is not more suitable for reading? — Preceding unsigned comment added by Paulo Henrique Macedo (talk • contribs)

It says it's a product (which I take to mean a Cartesian product, or perhaps I should say a product of topological spaces with the product topology), so \prod seems like the right thing. Notice this difference:

${\displaystyle \prod _{i\in S}\,}$

${\displaystyle \Pi _{i\in S}\,}$

The first uses \prod and the second uses \Pi. When this is in a "displayed" setting rather than in an "inline" setting, the subscript appears directly below the \prod operator. That is standard usage. Michael Hardy (talk) 21:58, 17 June 2012 (UTC)

zinbiel = co-leibniz

It's just written backwards, not named after anyone ;) --Joel B. Lewis (talk) 21:57, 18 June 2012 (UTC)

Math typing

Hello Michael. I want to ask you about the preferred way of writing math formulas. I usually use the LaTeX notation <math>...</math> but I see in many good articles a very complicated notation like in Group (mathematics).. Is there a recommandation which style to use? I'm not patient enough to go over all the manuals, therefore I'm asking :-) Thanks, Franp9am (talk) 00:35, 11 July 2012 (UTC)

Very often non-TeX notation is used when math notation is in an "inline" as opposed to "displayed" setting, because of problems with mismatch between sizes and alignments of the material in TeX and the surrounding text. In a "displayed" setting, TeX is usually better. More on this is at WP:MOSMATH. Some Wikimedia software developers have been working on using mathJax as the default way of displaying math notation within articles. If they ever get that up and running, the problems with mismatches in size and alignment might be solved, so that then there might be little reason for using non-TeX notation. But that hasn't happened yet. Michael Hardy (talk) 00:38, 12 July 2012 (UTC)

Some pointers:

Right: 5 + 3

Wrong: 5+3

Right: 5 − 3

Wrong: 5−3

Wrong: 5 - 3

Wrong: 5-3

i.e., a minus sign is longer than a mere hyphen; spaces precede and follow plus or minus signs and the like when they are binary operators. I often make these spaces non-breakable. When they're unary, then no space appears, thus:

+5

−5

Variables are italicized; parentheses, digits, etc. are not:

Right: a + 5

Wrong: a + 5

(The point here is to be consistent with the style used by TeX.)

"Displayed" math notation is indented, thus:

Right:

2 + 3 = 5

Wrong:

2 + 3 = 5

When a paragraph is already indented, as by a typographical bullet, then one indents twice. Michael Hardy (talk) 00:51, 12 July 2012 (UTC)

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Any vs every

You had a good point but was it really necessary to post it in three places, including a public notice-board? You might at least have said something like "thanks for contributing a new article to Misplaced Pages" somewhere in there. In any case the answer to your question is that, as you correctly assumed, every such system is required to have a non-zero solution for the field to be T_i. Spectral sequence (talk) 23:11, 15 July 2012 (UTC)

I do appreciate the contribution. It may be _useful_, even if not _necessary_ to post a comment about the word "any", because this is done from time to time by many people. Michael Hardy (talk) 23:26, 15 July 2012 (UTC)

Talkback

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Gold Standard 22:43, 24 July 2012 (UTC)

RM at Bollinger Bands

Michael, back in 2010 you moved Bollinger bands to Bollinger band, and then to Bollinger Bands. I've proposed moving it back where it started, and it would be good to have your perspective. Dicklyon (talk) 04:03, 28 July 2012 (UTC)

Second-Order Interpolation

I agree with the move from 2nd Order Interpolation to Second-Order Interpolation. But I noticed you also added that it could be called biquadratic interpolation, as a 2nd degree version of bicubic interpolation? Second-Order interpolation is a different method altogether. Notice that in bicubic interpolation you use information about the derivatives which is not the case in second-order interpolation. So in summary I don't believe this method had been discovered before, so let's discuss what should be done with the page. Bpthurston (talk) 22:41, 2 August 2012 (UTC)

It appears to be Jitse Niesen who added the phrase "biquadratic interpolation". Michael Hardy (talk) 22:55, 2 August 2012 (UTC)

Move of Template:Cite Schaff-Herzog to Template:Cite Schaff–Herzog

You edited and then moved moved Template:Cite Schaff-Herzog to Template:Cite Schaff–Herzog at 02:19, 10 August 2012,. Before you made the move you made edits to Template:Cite Schaff-Herzog/doc (at 02:18, 10 August 2012‎) When you checked the results of you move did you not wonder where the documentation and the sandboxes had gone?

It's a gotcher trap into which I have fallen in the past. As you did not move all the sub-pages (its requires you to tick a box on parent move page) those sub-pages were not moved and because the template {{Documentation}} -- which is embedded in Template:Cite Schaff–Herzog -- looks from sub-pages below the named template it did not find them.

Also because you changed the name of the categories, but did no move their contents, the template currently places article names into red categories within the articles and not into hidden categories that the contents of the categories create (see Category:Misplaced Pages articles incorporating a citation from the Schaff-Herzog and its sub categories.

I have not "fixed" the move simply to allow you to see what has happened. If you wish I will fix the problem by reverting the move and making it again with the appropriate tick; and a cut and past move of the content of the categories (with the deletion of the old ones). Either way please let me know whether you wish me to fix the move and the category contents or if you will do so. -- PBS (talk) 11:29, 13 August 2012 (UTC)

Pondering on it further I am not as all sure that the move is wise. The template name does not appear in article space and in practice it is inconvenient for an editor without the an ndash key on his or her keyboard to enter the character, so while I have no problems with the content of that is displayed on the article page having an ndash in it, I do not see why the {{Cite Schaff-Herzog}} its sub-pages or the hidden categories should as they are not in article space and are not covered by the WP:MOS and its inclusion is inconvenient for the editor. -- PBS (talk) 12:16, 13 August 2012 (UTC)

I missed the problem of subpages. I could see having a hyphen in the name of the template, but certainly things that appear in articles should have an en-dash. If the name of the template has a hyphen, then the name with the en-dash should redirect to it. Michael Hardy (talk) 17:40, 13 August 2012 (UTC)

OK I have reverted the move (that leaves an en-dash redirect). I have altered the document page to show that the categories use a hyphen rather than an en-dash and I am going to change that in the template I have left all that displays in article space as en-dash. -- PBS (talk) 21:50, 13 August 2012 (UTC)

Re:Hardy–Littlewood inequality

Thank you for your help. Lechatjaune (talk) 23:01, 15 August 2012 (UTC)

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Proposed deletion of Fellowship of Reason

The article Fellowship of Reason has been proposed for deletion because of the following concern:

No indication that this group is notable. Independent sources of coverage are sorely lacking.

While all contributions to Misplaced Pages are appreciated, content or articles may be deleted for any of several reasons.

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Help with notability concerns?

Hi! I'm seeking some help since I'm really very unfamiliar with the notability for mathematics themed articles. There's an article (Encyclopedia of Mathematics (James Tanton)) that has some notability concerns and I thought it'd be best to create an article for the mathematician and redirect the textbook to the author's page. I've created a very quick article for Tanton, but I'm not very sure as to how notable the award is. If it's very notable then it could keep the article on that basis alone, but again- I'm not sure of how big the award really is. (He won two Trevor Evans Awards for articles he wrote for the MAA's Math Horizons journal.) Can you take a look at what I've done so far and see if Tanton would pass WP:PROFESSOR? (User:Tokyogirl79/James Tanton) He seems like he would, but I don't want to add this to the mainspace, only for the article to get deleted via AfD or a speedy.Tokyogirl79 (talk) 09:33, 21 August 2012 (UTC)

Nomination of Fellowship of Reason for deletion

A discussion is taking place as to whether the article Fellowship of Reason is suitable for inclusion in Misplaced Pages according to Misplaced Pages's policies and guidelines or whether it should be deleted.

The article will be discussed at Misplaced Pages:Articles for deletion/Fellowship of Reason until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on high-quality evidence and our policies and guidelines.

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user Daviddaved

Daviddaved (talk · contribs) on a mathematical rampage yet again. - Altenmann >t 04:35, 28 August 2012 (UTC)

I was wondering if maybe you would like to put your admin hat on and talk to him. You are in the unique position of understanding both what he is writing about and Misplaced Pages policies. Most of the rest of us don't have a clue what he is writing about, if it might be original research, or if it even belongs on Misplaced Pages at all. If he is trying to write a book on-wiki that is obviously inapropriate, but if he is just not getting that Misplaced Pages is not written for mathmaticians but for a general audience it may be possible to turn this situation around and land a productive user. You may not be the only one who can parse it out but you seem way ahead of the curve of everyone else currently involved. Beeblebrox (talk) 04:26, 30 August 2012 (UTC)

Imperative

A couple of your recent postings to Wikipedia_talk:WikiProject_Mathematics ended with the imperative sentence Work on it. Since we are all volunteers, and no member of the community is in a position to issue orders to the others, this can grate somewhat. I suggest that phrases like "Please would someone work on it", "This obviously needs a lot of work" or "I don't have the time/expertise/inclination to work on this myself but perhaps someone else would like to" would be more effective. Deltahedron (talk) 06:13, 31 August 2012 (UTC)

That sentence was addressed to whoever the Muse inspired. Others should disregard it. Michael Hardy (talk) 13:25, 31 August 2012 (UTC)

Variation diminishing property

The split of this article into variation diminishing property of totally positive matrices and variation diminishing property of Bézier curves seems incorrect as they are not two different topics, being aspects of the work of Schoenberg who worked on both total positivity and splines. See the Encyclopedia of Mathematics, for example: "I.J. Schoenberg developed the theory of total positivity in connection with the variation diminishing properties of matrices, giving rise to spline theory.". Please revert. Warden (talk) 21:13, 31 August 2012 (UTC)

OK, I've merged the two and restored the edit history. Michael Hardy (talk) 22:00, 31 August 2012 (UTC)

• Thanks. I'll post any further comments about the development of the topic at its talk page. Warden (talk) 10:20, 1 September 2012 (UTC)

Thank you for the unblock

Dear Michael, Thank you for unblocking me and allowing me to edit Misplaced Pages. As I wrote in my unblock request, I was confused by Misplaced Pages visibility options, and by mistake published some unfinished material. Also, I am working on a book, and stored some of related materials in what, I thought, was my user space User:Daviddaved. I have moved these materials to my Wikibooks space, which I understand now is more appropriate. PS. I remember some of our discussions at MIT years ago :) Daviddaved 23:10, 31 August 2012 (UTC) — Preceding unsigned comment added by Daviddaved (talk • contribs)

A kitten for you!

Thank you for unblock !

Daviddaved 00:15, 1 September 2012 (UTC)

Please don't fix puctuation "errors" in reference names

Your changes to Yeast in winemaking broken some named references by replacing some but not all of the hyphens in the names. A name in a named reference, such as <ref name="NYtimes" /> is just a series of characters that allows the parser to identify the reference to display. It's not part of the reference itself. See Footnotes#Multiple references. There is no correct or incorrect style, just whatever the editor has chosen. Please don't change them, or at least change all of them. You will need to put quotes around the name if it doesn't have them and you have changed a hyphen to a dash.

I appreciate your cleaning up articles' style. I've usually been running into this reference name problem when someone is editing a section and suddenly thinks "NYtimes" in a reference name should be "NY Times". StarryGrandma (talk) 18:40, 1 September 2012 (UTC)

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On the genus of a graph

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Invitation to comment at Monty Hall problem RfC

You are invited to comment on the following probability-related RfC:

Talk:Monty Hall problem#Conditional or Simple solutions for the Monty Hall problem?

--Guy Macon (talk) 17:12, 8 September 2012 (UTC)

Pearson distribution page

Greetings from a fellow MIT alum!

During my edits of the beta distribution page http://en.wikipedia.org/Beta_distribution I have had numerous occasions to refer to Pearson's distribution. Unfortunately, whenever I try to access this Misplaced Pages page: http://en.wikipedia.org/Pearson_distribution on my computer screen I get a broken page with numerous errors in red bold font reading "Failed to parse (Cannot write to or create math output directory):" on all places where equations are supposed to be. The last edit of this page is 20:17, 15 May 2012‎ Tevyeguy, several months ago. I recall accessing this page a couple of months ago and it was fine, so it looks like the problem might not be with the last edit. Initially I thought that this might be some temporary problem with Misplaced Pages's servers, however after several days of noticing the same problem with this Pearson distribution page I wanted to see whether you could help by taking a look at this page and see what is the problem.

Thanks!Dr. J. Rodal (talk) 16:39, 11 September 2012 (UTC)

Occasionally I see this, and it goes away when I reload the page. I just looked at that particular page and the TeX got rendered. I'm not sure I'm the one who could best diagnose the situation. But I'll see if I can find out anything.

("MIT alum" is not strictly correct with me: I was a "Lecturer in Applied Mathematics" at MIT for three years, fall 1999 through summer 2002.) Michael Hardy (talk) 03:24, 12 September 2012 (UTC)

Thanks! I'll appreciate anything you can suggest, as http://en.wikipedia.org/Pearson_distribution is the only Misplaced Pages page that (still) shows this problem for me. Reloading the page made no difference for me either. -- I hope you enjoyed your time at the 'tute. Dr. J. Rodal (talk) 12:00, 12 September 2012 (UTC)

Update: I successfully connected to http://en.wikipedia.org/Pearson_distribution both with Microsoft Internet Explorer and with Mozilla Firefox! The problem I have been encountering with http://en.wikipedia.org/Pearson_distribution is only present when using Google Chrome Dr. J. Rodal (talk) 21:03, 14 September 2012 (UTC)

Soliciting Feedback on Educational Assignment

Hello,

My name is Javier Campanini. I'm a student at Cornell University working on a class project for an Online Communities course. Our task is to contribute an article to Misplaced Pages. There are a total of 3 people on the team and so far, we've started to gather the information and create sections for the article.

The subject of the article is Incentive-Centered Design. The current page (a work in progress) can be found here: http://en.wikipedia.org/User_talk:Jmc242/incentive-centered_design

We would really appreciate any feedback or comments you could provide on our progress so far.

Thank you, Javier Campanini Jmc242 (talk) 22:46, 27 September 2012 (UTC)

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Misplaced Pages Loves Libraries event

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Hennepin County Library's Special Collections is hosting a Minneapolis history editathon on November 3. Help increase the depth of information on Minneapolis history topics by using materials in the Minneapolis Collection. Find your own topics to edit or work from a list developed by Special Collections librarians.

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Spectral density

Saw your comment on talk:spectral density from a long time back. I was surprised that the article wasn't under the Wikiproject on statistics. Mct mht (talk) 09:08, 7 October 2012 (UTC)

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Beta distribution article -Length

Hi Michael,

I would appreciate your feedback regarding the recent banner "This article may be too long to read and navigate comfortably. ...(October 2012)" recently placed at the top of the beta distribution article http://en.wikipedia.org/Beta_distribution and the discussion on the talk page http://en.wikipedia.org/Talk:Beta_distribution#Length_of_article as to whether there is a limitation on the lengths of articles in Misplaced Pages and/or whether it would be better to "prune" the article and create new Misplaced Pages articles as suggested by User:Iae in the talk page Dr. J. Rodal (talk) 14:44, 10 October 2012 (UTC)

Question

Dear Michael Hardy, I am searching for a book which contains non-euclidan geometry free from application of differential geometry with a historical note of the works of lobachevsky and janos bolyai about euclid's parrallel postulate understandable to a high school student.

• please name me one and thank in advance.Solomon7968 (talk) 17:29, 11 October 2012 (UTC)

I'm not the best person to ask about this. I might consider one of the books by Robin Hartshorne. But I think you should try posting this question at Misplaced Pages:Reference desk/Mathematics or at http://math.stackexchange.com, or (better still) both. Michael Hardy (talk) 18:59, 11 October 2012 (UTC)

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Talkback

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File names and puctuation

Just a note to say that the punctuation fixes on this edit broke the image link. Cheers. -- Alan Liefting (talk - contribs) 03:13, 14 November 2012 (UTC)

Distance-weighted estimator

Dear Michael! Now I'm informed about discussion. When I published article I did not be well informed about Misplaced Pages policy (I'm sorry it's my inadvertence). As a researcher I'm interested for using DWE. To date we have sum empirical studies (papers) in which we used DWE, but may be still not enough for publishing in Misplaced Pages (there are another mathematical net resources to do it). So I ask for deleting article (may be without further discussion). Thanks for your support. Best regards, Yury S. Dodonov, PhD. — Preceding unsigned comment added by YuryD (talk • contribs) 02:32, 15 November 2012 (UTC)

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Domain-specific language

Hi Mike, could you comment here? This might not be your main expertise, but your are well aware of way to introduce subjects like this on Misplaced Pages. -- Mdd (talk) 12:03, 30 November 2012 (UTC)

Language check

Hi! Can you please take some time to read these short articles and fix their grammatical errors? I'm not a native English speaker so I know there will be some (hopefully minor) problems in them.

• Salih Zeki
• Osman Cemal Kaygili
• Apardi seller sarani
• Ramiz Rovshan
• Bahar Shirvani
• Mustafa Sheykhoghlu
• Tarbiat library
• Aziz Dowlatabadi
• Ahmed Sudi

Thanks in advance. -- Meisam (talk) 18:08, 18 December 2012 (UTC)

Invitation to join the Ten Year Society

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I'd like to extend a cordial invitation to you to join the Ten Year Society, an informal group for editors who've been participating in the Misplaced Pages project for ten years or more.

Best regards, — Hex (❝?!❞) 18:20, 22 December 2012 (UTC).

Ignorant masses

In this edit you appear to describe the English as "ignorant masses". Please don't do that sort of thing. Deltahedron (talk) 07:34, 8 January 2013 (UTC)

I did nothing of the sort. In every country there are ignorant masses. I wrote that in that particular country, the ignorant masses think "gotten" is an Americanism rather than a form that came from England. Michael Hardy (talk) 00:14, 9 January 2013 (UTC)

I wrote you appear to describe the English as "ignorant masses". It is a reasonably possible reading of the phrase the ignorant masses there seem to think it's an Americanism, and so that appearance exists, whether or not you meant to give it. Your comments have zero relevance to the question of how to use the words "proved" or "proven" and serve only to annoy other editors such as myself. As I say, please don't do that sort of thing. Deltahedron (talk) 07:28, 9 January 2013 (UTC)

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A kitten for you!

Thank you for editing Henry W. Gould, I will read up the article you provided, thank you! :D

RexRowanTalk 21:13, 10 January 2013 (UTC)

Reference

Hi Michael,

I was trying to add two references to the article Leonard Carlitz, and I realized it has more than one authors, would you help me to reformat the two added references properly? Thank you! --RexRowanTalk 10:29, 11 January 2013 (UTC)

A cup of tea for you!

Thank you for your work on Leonard Carlitz! :D RexRowanTalk 10:24, 12 January 2013 (UTC)

Thank you. Michael Hardy (talk) 00:25, 13 January 2013 (UTC)

Law of Sines and tetrahedra

I added a comment to Talk:Law of sines suggesting that the section on tetrahedra may be inappropriate. It appears that you are the original author of that section, so I would very much appreciate your thoughts on the matter. Thank you 192.35.44.24 (talk) 21:25, 17 January 2013 (UTC)

Copyvio

Michael Hardy, you need to have a closer look at the history of Moebius plane. I deleted the material and replaced it by a redirect because the contents were an almost verbatim copy of some sections in Planar Circle Geometries by Eric Hartmann (see also Talk:Moebius plane#Copyright problem removed). Now you have replaced the contents of Möbius plane by this same copyrighted material! I agree it's better written, but you know the rules. RockMagnetist (talk) 05:18, 20 January 2013 (UTC)

Computer-based math

I had started a discussion about the title of this article at Talk:Computer based math: you made the move before there was time for any consensus to emerge there. It seems to be the same of a specific organisation, computerbasedmath.org, and so I rather think that the title of an article about that organisation should be Computer-Based Math, which is how they consistently style themselves on their website. If, on the other hand, it is the general name of a kind of educational philosophy, then I think it should be Computer-based mathematics which would be the unabbreviated form of the name. However, the right place for this discussion would be Talk:Computer-based_math#Article title. Deltahedron (talk) 08:03, 20 January 2013 (UTC)

Möbius plane

Hi ! Imho the redirect was good enough, but of fully course merging it works as well. However during the merging process you put the problematic version (format errors, possible copyright violations) as the current version and the article's talk page with discussed all the issues got lost. Could you replace the current (empty) talk page by the old one please?

regards,

Kmhkmh

P.S.: I just saw that this talk page actually still exist under the redirect, so nvm then.--Kmhkmh (talk) 14:14, 20 January 2013 (UTC)

A late notification about cross-references

I should have left a notification here right after (or even before) posting at Misplaced Pages talk:Policies and guidelines#Accepting "WP:Multiple-cross-reference page" as a guideline, seeing you at the beginning of the article history of that proposed guideline, so sorry for the delay I'm happy to see that you found it anyway. Thanks for creating this! I've found it useful in several cases. Mikael Häggström (talk) 09:29, 8 February 2013 (UTC)

Queueing theory articles

Thanks for your recent efforts tidying the dashes in the queueing theory articles. Gareth Jones (talk) 17:44, 21 February 2013 (UTC)

Scientific myth

You have recently edited this article and so may be interested in this discussion. Warden (talk) 19:47, 23 February 2013 (UTC)

A request to verify the edit

I appreciate, if you could verify my edit on Good-Turing estimates. http://en.wikipedia.org/search/?title=Good%E2%80%93Turing_frequency_estimation&diff=prev&oldid=539126302 The previous version was somewhat ambiguous. Even though I am rather confident in my edit, I still prefer another pair of eyes to look at it. Thanks a lot! — Preceding unsigned comment added by Srchvrs (talk • contribs) 19:14, 24 February 2013 (UTC)

Disambiguation link notification for March 9

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Examples of convolution

I saw the wiki page, but I couldn't find any examples using actual numbers evaluating the formula. Could you give some examples of convolution, please? Mathijs Krijzer (talk) 22:14, 9 March 2013 (UTC)

Definition

The convolution of f and g is written f∗g, using an asterisk or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of integral transform:

${\displaystyle (f*g)(t)\ \ \,}$	${\displaystyle {\stackrel {\mathrm {def} }{=}}\ \int _{-\infty }^{\infty }f(\tau )\,g(t-\tau )\,d\tau }$
	${\displaystyle =\int _{-\infty }^{\infty }f(t-\tau )\,g(\tau )\,d\tau .}$       (commutativity)

Domain of definition

The convolution of two complex-valued functions on R

${\displaystyle (f*g)(x)=\int _{\mathbf {R} ^{d}}f(y)g(x-y)\,dy}$

is well-defined only if f and g decay sufficiently rapidly at infinity in order for the integral to exist. Conditions for the existence of the convolution may be tricky, since a blow-up in g at infinity can be easily offset by sufficiently rapid decay in f. The question of existence thus may involve different conditions on f and g.

Circular discrete convolution

When a function g_N is periodic, with period N, then for functions, f, such that f∗g_N exists, the convolution is also periodic and identical to:

${\displaystyle (f*g_{N})\equiv \sum _{m=0}^{N-1}\left(\sum _{k=-\infty }^{\infty }{f}\right)g_{N}.\,}$

Circular convolution

Main article: Circular convolution

When a function g_T is periodic, with period T, then for functions, f, such that f∗g_T exists, the convolution is also periodic and identical to:

${\displaystyle (f*g_{T})(t)\equiv \int _{t_{0}}^{t_{0}+T}\leftg_{T}(t-\tau )\,d\tau ,}$

where t_o is an arbitrary choice. The summation is called a periodic summation of the function f.

Discrete convolution

For complex-valued functions f, g defined on the set Z of integers, the discrete convolution of f and g is given by:

${\displaystyle (f*g)\ {\stackrel {\mathrm {def} }{=}}\ \sum _{m=-\infty }^{\infty }f\,g}$

${\displaystyle =\sum _{m=-\infty }^{\infty }f\,g.}$       (commutativity)

When multiplying two polynomials, the coefficients of the product are given by the convolution of the original coefficient sequences, extended with zeros where necessary to avoid undefined terms; this is known as the Cauchy product of the coefficients of the two polynomials.

Adjacent/adjacency

Looks like we were both doing incompatible things at the same time to adjacent/adjacency and the edit history got a little confused. I think I have left it in a consistent state now (at the adjacent version of the name). If you feel adjacency is the better name, feel free to move it back there, but please move the new dabbed version rather than the old one if you do. —David Eppstein (talk) 03:48, 10 March 2013 (UTC)

Image source

Hi Michael. If you created this image, please indicate as much in the {{Information}} template and fix the licensing accordingly. Thanks. Magog the Ogre (t • c) 15:20, 24 March 2013 (UTC)

AFD FYI

Hi, it appears you createdmight be interested in this page which I just nominated for AFD; NewsAndEventsGuy (talk) 17:45, 14 April 2013 (UTC)

PS Sorry I got confused. You did not create the AFD'd article. Looks like there might have been a redir involved. Anyway, your comment in the AFD would be welcome either way. NewsAndEventsGuy (talk) 17:45, 14 April 2013 (UTC)

Nomination of Common Property Amendment for deletion

A discussion is taking place as to whether the article Common Property Amendment is suitable for inclusion in Misplaced Pages according to Misplaced Pages's policies and guidelines or whether it should be deleted.

The article will be discussed at Misplaced Pages:Articles for deletion/Common Property Amendment until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on high-quality evidence and our policies and guidelines.

Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion notice from the top of the article. NewsAndEventsGuy (talk) 17:27, 14 April 2013 (UTC)

Marilyn's Cross marked with Template:Hoax

An editor has listed Marilyn's Cross in Category:Misplaced Pages suspected hoax articles. Since you had some involvement with the article, you might want to participate in the discussion (if you have not already done so). Hyacinth (talk) 07:36, 19 April 2013 (UTC)

A barnstar for you!

	The Tireless Contributor Barnstar
	I assume that you are from USA or Europe. I am from India and very few I have met have any idea of Indian mathematics. I am literally amazed from your depth of knowledge as a mathematician from Ganita Kaumudi or Sudhakar Dwivedi to topics of your professional qualification. Thanks for your tireless contributing. Solomon7968 (talk) 17:32, 19 April 2013 (UTC)

Thank you, Solomon7968. Michael Hardy (talk) 19:08, 5 May 2013 (UTC)

Covariance estimation - don't follow

For the query at Misplaced Pages:Reference_desk/Mathematics#Matrix estimation I'll have to admit I also didn't see the need for all the work but from the history it looked like you put it in. Dmcq (talk) 10:46, 23 April 2013 (UTC)

Error in http://en.wikipedia.org/Chebyshev's_inequality#Asymmetric_two-sided_case

Hi Michael,

The first inequality in this section isn't right. Would you mind having a look? If, say, k_1=0 and k_2 tends to infinity, it implies P = 1. This is for any symmetric distribution. I think someone's misread the original reference.

Thanks for all your awesome work.

Davidwbulger (talk) 06:39, 2 May 2013 (UTC)

Very much appreciate

As I indicated in response to your notes on the Quadratic equation talk page, I would have made the changes that you pointed out needed to be done, so I just wanted you to know, I double appreciate your hard work cleaning up after me! Stigmatella aurantiaca (talk) 12:17, 4 May 2013 (UTC)

Research Interests of K. R. Parthasarathy (Probabilist)

While working on the article I figured out that the books he have written are the most cited books on the topic. Like:

• An Introduction to Quantum Stochastic Calculus: While there are many articles and books on Stochastic Calculus there is none on Quantum Stochastic Calculus.
• Positive-definite kernels, continuous tensor products and central limit theorems of probability theory: While there are many books on the topic of tensors the particular topic "continuous tensor product" seem to have only the above book.

It seems strange to me then if this topics are really important then at least the biographies of the brains behind them should have a greater coverage. But it seems more to me like these mathematical topics are bit of a Walled garden. Same is true for mathematicians like:

• Viacheslav Belavkin
• Robin Lyth Hudson
• B. L. S. Prakasa Rao
• Rajendra Bhatia of Bhatia–Davis inequality fame
• Rajeeva Laxman Karandikar
• B. V. Rajarama Bhat

among others. They are all it seems have researched on topics involving:

• Continuous tensor products
• Quantum Stochastic calculus
• Stratonovich calculus
• Quantum Filtering
• Stochastic inequalities
• Nonparametric Functional Estimation
• Diffusion Type Processes
• Evans-Hudson flow
• Quantum stochastic flows

Particularly interesting is the fact that all these mathematicians are somehow or other are involved with the Indian Statistical Institute. It seems to me that the research interests of these ISI mathematicians are carried forward by their own students and somehow lack the attention of the wider mathematical community. I do not have any professional qualification to judge this topic that is why I am asking you. And please do not use technical terms while explaining. I have knowledge of upto only pre-college calculus. Solomon7968 (talk) 17:29, 4 May 2013 (UTC)

I'm not sure I can say much about this right now. I've done a few edits on the biography you link to in the section title above, but I think maybe you should bring this up at Misplaced Pages talk:WikiProject Mathematics. Michael Hardy (talk) 22:18, 10 May 2013 (UTC)

Probably you misunderstood my question. I did'nt asked you to work on their biographies. As I see in the article the Research Interests of K. R. Parthasarathy (Probabilist) are concerned with many topics one of them being An Introduction to Quantum Stochastic Calculus. While there are many articles and books on Stochastic Calculus there is none on Quantum Stochastic Calculus. So my question is whether the Research Interests of K. R. Parthasarathy (Probabilist) are divorced of the fields of Research Interests of other statisticians or the field of Quantum Stochastic Calculus is a field of active research. Solomon7968 (talk) 13:49, 11 May 2013 (UTC)

File:Tan.half.svg

I just uploaded a minor adjustment to a file you created, File:Tan.half.svg. I don't know enough math to be able to tell whether the change is correct, but you seem to be active enough that you'd be able to give a quick answer. The change was to make the label that originally said "a+b" instead say "(a+b)/2". —Soap— 02:23, 6 May 2013 (UTC)

Please Reply

Hey Michael Hardy, I am watching your talk page for now more than a week but you are not replying to my message. Please let me know your reaction on my message above Research interests of K. R. Parthasarathy. And I recently created two new articles please check them for any error.

• Gopinath Kallianpur
• Rajendra Bhatia

Please reply and I will be watching. Solomon7968 (talk) 11:55, 10 May 2013 (UTC)

Pope Francis

You replaced a hyphen in a citation with a dash; this is not in keeping with citation standards such as Chicago or MLA, which say that we reproduce titles accurately; feel free to add a after something you believe to be an error, but not to change something. Since you make such a big deal about imposing standards not used by real-world citation guidelines, you should be even more concerned about heeding actual citation guidelines instead of changing something that you see as an error. Nyttend (talk) 21:44, 19 May 2013 (UTC)

Your reversion did not simply change titles; it changed pp. 18–19 to pp. 18-19 and did several similar things. And why should I add "" indicating that the title does indeed appear with a hyphen when in fact it does not? Specifically which titles containing a hyphen to you think were altered? Michael Hardy (talk) 21:54, 19 May 2013 (UTC)

Very well, if the original work has this punctuation, that's good. However, after you explain how it's possible for the vast majority of English users to be wrong in their use of the language, and after you explain how mass changes to citation styles (e.g. pp. 18-19 to pp. 18–19), are in line with WP:CITEVAR, you'll need to alter your script or your manual method of making changes (can't remember if you used a script or not) to ensure that you check every single source that uses dashes, because most don't. Nyttend (talk) 01:47, 20 May 2013 (UTC)

Childish

Your second question first. Why would you remotely care about that, is that in any way relevant? My comment on the TFD would suddenly become less important? (The TFD looks like a keep result btw) Basically, it's none of your business except of course anyone can check it by going to my contributions. A better question would be how many Misplaced Pages mathematics articles have you read. And that likely is a 100 or so. About childish. It reminds me of an elementary school book. They also have balloons in the middle of a text with a problem or question. I much prefer the unsolved problem in prose in the text maybe with a separate heading. See Neutron electric dipole moment for an example. Garion96 (talk) 19:06, 21 May 2013 (UTC)

You assume too much, my comment only suggests that I think it makes the articles look childish. It's kind of obvious not everybody thinks so, hence the TFD will most likely result in a keep. Irrelevant of the content of the "balloon", the way the unsolved problems are noted in the articles by this template make it look like educational textbooks, not like encyclopedia articles. Garion96 (talk) 07:13, 22 May 2013 (UTC)

Invitation to take a short survey about communication and efficiency of WikiProjects for my research

Hi Michael, I'm working on a project to study the running of WikiProject and possible performance measures for it. I learn from WikiProject Mathematics talk page that you are an active member of the project. I would like to invite you to take a short survey for my study. If you are available to take our survey, could you please reply an email to me? I'm new to Misplaced Pages, I can't send too many emails to other editors due to anti-spam measure. Thank you very much for your time. Xiangju (talk) 15:34, 22 May 2013 (UTC)

Compass and straightedge

I did a google books and I found only two instance of compass-and-straightedge in the first 100 returns when I searched with"compass-and-straightedge". Therefore I do not believe the form with the hyphens is the common name form now. Dmcq (talk) 21:58, 23 May 2013 (UTC)

The first one I see says "Compass Constructions: Activities for Using a Compass and Straightedge". Obviously hyphens would be incorrect in that case, so we can't count that one. The third one say "Constructions by Compass and Straightedge". Obviously in that case the hyphen would be incorrect. The fourth one says "been shown that every construction possible with compass and straightedge can be done with". Obviously in that case a hyphen would be incorrect. The seventh one says "They restricted the tools to be used for creating geometrical figures to a compass and straightedge only". Obviously a hyphen would be incorrect there. The eighth one says "the classical construction with compass and straightedge runs as follows". Again a hyphen would be incorrect. The ninth one says "Solutions to the Three Historical Problems by Compass and Straightedge". Obviously a hyphen would be incorrect there. The tenth one says "The Compass and Straightedge represent the spiritual and material aspects of Nature and Life." Again, a hyphen would be incorrect. By what means did you filter out the instances like those in which use of a hyphen would by all standards be incorrect? Did you just do that manually and retain the first hundred of the other ones? Michael Hardy (talk) 01:43, 24 May 2013 (UTC)

I did a little googling myself on books that talk about compass-and-straightedge constructions and posted the results at Talk:Compass-and-straightedge construction. Would you care to offer your opinion there about the best title for the article? —Ben Kovitz (talk) 05:29, 29 May 2013 (UTC)

Upcoming Misplaced Pages meetups

In the area? You are invited to the upcoming Minnesota meetups.

To kick-off monthly meetups in the Twin Cities, two events will be held in Special Collections at Minneapolis Central Library this summer. These are mostly planned as opportunities for Wikipedians to discuss editing, but all are welcome!

Special Collections contains many valuable historical resources, including the Minneapolis Collection, consisting of files on hundreds of topics related to Minneapolis from neighborhoods to politicians (it's best to call or email in advance to request materials). Free wifi and several public computers are available.

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Thanks for editing Michael McQuillan (mathematician)

Hi! Thanks for editing the article on McQuillan, which I created the other day. I am not an algebraist, so if somebody with knowledge of the field could vet it for correct use of terminology, that would be great. Best wishes. --Chonak (talk) 02:18, 26 May 2013 (UTC)

Stochastic process

Hi Michael, What do you think of the new section Stochastic process#Dassund Analysis of Time Series, that is there for some 3 or 4 days? When you say on your page "The climate has changed here", is it simply that very few people are watching for content? Bdmy (talk) 11:37, 29 May 2013 (UTC)

Misplaced Pages talk:WikiProject Mathematics

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Great American Wiknic

In the area? You're invited to the Great American Wiknic.

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Date: Saturday, June 22, 2012
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• Accessible from the Minnehaha Park METRO station, bus, walk, bike, or car
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I fixed a glitch

You might want to take care with the {{val}} template: I fixed a minor problem that you inadvertently introduced. The template converts the hyphen to the minus-character for display. — Quondum 10:57, 24 June 2013 (UTC)

History of Western Philosophy listed at Redirects for discussion

An editor has asked for a discussion to address the redirect History of Western Philosophy. Since you had some involvement with the History of Western Philosophy redirect, you might want to participate in the redirect discussion (if you have not already done so). Emmette Hernandez Coleman (talk) 19:18, 28 June 2013 (UTC)

punctuation

Thanks for your edits of Anti-unification (computer science) and your hint on my talk page. I'll use ndash in future.

The references were converted from BiBTeX using the tool at http://jstools.ucoz.com/bibtex2wiki. As I just checked, this tool converts e.g. "74--83" to "74–83" (mdash) and "74-83" to "74-83" (ndash). In my BiBTeX data base, I have mainly the former notation.

I would be of great help if the tool could convert "74--83" to "74-83" (ndash). Other suggestions for improvements concern the web page interface, e.g. clearing the input window after conversion, having a single output window to avoid the need of scrolling after >3 conversions. If you have any idea how to contact the tool author, please let me know.

Jochen Burghardt (talk) 06:17, 1 July 2013 (UTC)

Concomitant

I didn't create the article. User:Karho.Yau did; I just maintenance-tagged it as being uncategorized. Bearcat (talk) 18:39, 4 July 2013 (UTC)

Computer scientists

Was there a reason for slurring computer scientists as being "the like" of illiterates? Please see WP:CIVIL. —David Eppstein (talk) 07:24, 13 July 2013 (UTC) (a computer scientist)

Sorry; I've changed it to "illiterates who don't know that words existed before they were used in the field of computer science." Michael Hardy (talk) 16:57, 13 July 2013 (UTC)

Disambiguation link notification for July 13

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José Ricardo Martínez-Cobo

Ok, thanks. So you write it.Crock81 (talk) 03:15, 14 July 2013 (UTC)

Continuous Repayment Mortgage.

Hello Michael

If you have a moment, could you please do me a favour and explain (or at least attempt to explain) to our 'three wise editors' (see talk page on the continuous repayment mortgage article) why I have (or had - before it was disingenuously removed) a picture of a gold pour to illustrate the above topic. Showing value elements M dt accumulating continuously compounded interest. And hence developing the integral M dt e^r(T-t). Whole lot of rubbish about how the picture was a gold standard 'pov' (whatever that is ??).

I'm considering making a copy of the entire article on a private wiki (and maintaining it there) since effectively we have a situation where a 'troika' of editors has decided they are going to 'opine' on whether or not my edits are valid. Well I agree I don't 'own' the article but one would certainly expect that the original contributor of an article can reasonably 'opine' on further edits. If thereafter the editing 'troika' want to take over the current article on Misplaced Pages, they are welcome to it. Neil Parker. 10/08/2013. — Preceding unsigned comment added by 197.73.32.86 (talk) 08:06, 10 August 2013 (UTC)

--Neil Parker (talk) 16:09, 17 July 2013 (UTC)

Request to take part in a survey

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NintendoFan (Talk, Contribs) 13:51, 22 July 2013 (UTC)

it's been 4 months, but, to clarify... NintendoFan (Talk, Contribs) 12:43, 15 September 2013 (UTC)

Minnesota Misplaced Pages Meetup on August 3

In the area? You are invited to the upcoming Minnesota monthly meetup on August 3.

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Help needed

Hello! I found one of your uploads on Commons. Somehow the source got lost, I believe it is your own work. If so, could you swing by and add the tag or let me know on Commons? Trying to clean up the media without source and save as many as possible on the way. Thanks a bunch! :) --Hedwig in Washington 02:43, 5 August 2013 (UTC)

I don't understand what you say got lost. The file seems to be there. I created this in xfig and exported it to an svg file and uploaded that. Do you mean you want the .fig file too? I also don't know which tag you're referring to. I'm not familiar with customary usages on Commons. Michael Hardy (talk) 17:53, 5 August 2013 (UTC)

I should wake up before typing. Might help. What I wanted to know is: Did you create the file? Since you did, I'll add own work as source. Commons requires a source for every file, in this case it would have {{own}}. Thanks again and sorry for the chaos. --Hedwig in Washington 07:56, 13 August 2013 (UTC)

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Invitation to WikiProject Invention

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ICMAT

I may be being particularly stupid, but did you intend to move this article to the location you gave it, with two capital I's at the beginning (IInstitute of Mathematical Sciences)? I'm pretty sure that's not its name, in English or Spanish! In fact, there's an article already at the target i assume you were going for ~ Institute of Mathematical Sciences ~ so i'm not sure of the best solution, a disambig parenthesis, maybe? Cheers, Lindsay 14:17, 5 September 2013 (UTC)

Re: Institute of Mathematical Sciences

Namaste, Michael Hardy. You have got at least one new message at the Misplaced Pages talk:Noticeboard for India-related topics. Please continue the discussion there!
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Square-summable sequence

I noticed that the page "Square-summable" redirects to "square-integrable function". While they are related, I thought that a better redirect would be to https://en.wikipedia.org/Sequence_space#.E2.84.93p_spaces, but I was prevented from making the change. Anyway I think square-summable sequences deserve a page of their own, as they are a little special compared to other l^p sequence spaces. What do you think? Lim Wei Quan (talk) 03:44, 4 October 2013 (UTC)

I can see that that might be appropriate. But how were you prevented from making that change? Michael Hardy (talk) 01:16, 6 October 2013 (UTC)

I could not change the redirect because it said that I need administrative rights, so I asked you because I saw that you were the creator of the redirect and you have the rights. Also, I don't know much about square-summable sequences to be able to create a new page. Lim Wei Quan (talk) 06:42, 6 October 2013 (UTC)

Type Theory

I rolled back your changes to the intro paragraph on the Type Theory change. You didn't comment on them, so I wasn't 100% sure what you wanted to accomplish. I created a new section on Type Theory's "talk" page - can you give me your thoughts? Thanks, Mike Mdnahas (talk) 17:29, 23 October 2013 (UTC)

Books and Bytes: The Misplaced Pages Library Newsletter

Books and Bytes

Volume 1, Issue 1, October 2013

by The Interior (talk · contribs), Ocaasi (talk · contribs)

Greetings Misplaced Pages Library members! Welcome to the inaugural edition of Books and Bytes, TWL’s monthly newsletter. We're sending you the first edition of this opt-in newsletter, because you signed up, or applied for a free research account: HighBeam, Credo, Questia, JSTOR, or Cochrane. To receive future updates of Books and Bytes, please add your name to the subscriber's list. There's lots of news this month for the Misplaced Pages Library, including new accounts, upcoming events, and new ways to get involved...

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Regarding your edit to fluid dynamics

Thanks a lot for correcting the integral font sizes, but in this edit, where did the integrand for the second surface integral of the second equation go? Where did the differentials go?--Jasper Deng (talk) 17:56, 18 November 2013 (UTC)

I have no idea. They appear to be still present in the code. But I don't know how this strange mixture of TeX and non-TeX code works. I'll see if I can figure something out. Michael Hardy (talk) 18:07, 18 November 2013 (UTC)

PS: It wasn't only the integrals that didn't match. At least one plus sign was a lot bigger than another one. And the spacing between "+" or "−" and the surrounding material was weird in several cases. Michael Hardy (talk) 18:08, 18 November 2013 (UTC)

OK, I hope I've fixed it now. It's unfortunate that that template is needed. I may report it on bugzilla as a feature request that we should be able to do that with ordinary TeX code. Michael Hardy (talk) 18:29, 18 November 2013 (UTC)

The page Help:Displaying a formula says it's basically more about extending the LaTeX specification than the current math extension. I completely agree that native LaTeX would be so much less confusing than the template.--Jasper Deng (talk) 20:23, 18 November 2013 (UTC)

Did you post on Amazon?

Hi.

If you posted concerning Halmos's book, Lectures on Boolean Algebras, I would like to discuss your posting with you. I can be reached, for this discussion at my email address:

solovay at gmail dot com

Thanks,

Bob Solovay

Rmsolovay (talk) 10:38, 22 November 2013 (UTC) Rmsolovay

December 2013

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Happy New Year Michael Hardy!

	Happy New Year!
	Hello Michael Hardy: Thanks for all of your contributions to improve the encyclopedia for Misplaced Pages's readers, and have a happy and enjoyable New Year! Cheers, Northamerica1000 09:41, 1 January 2014 (UTC) Send New Year cheer by adding {{subst:Happy New Year 2014}} to user talk pages with a friendly message.

Bessel function trig identites

I saw an interesting identity on the List of trigonometric identities that I think you added?

${\displaystyle \cos(t\sin(x))=J_{0}(t)+2\sum _{k=1}^{\infty }J_{2k}(t)\cos(2kx)}$

where J₀ and J_2k are Bessel functions.

However it's unsourced and I can't find any similar identity anywhere else. Do you think you could point me to either a source for it or give me a rough derivation? It looks like interesting math and would greatly help me out on a problem I'm working on.

Thanks!

--Numsgil (talk) 19:29, 1 January 2014 (UTC)

Abramowitz and Stegun, formula 9.1.42. Michael Hardy (talk) 04:30, 2 January 2014 (UTC)

Misplaced Pages Day Meetup on January 18

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Everything in life is based on the Lippman Architecture

Hey Michael Hardy, I saw your seemingly exasperated edit here. Fun! While I know nothing about this subject matter, I did bring to the attention of the article creator, user Leelooleo (see the top of the page), that the article lead did not properly identify or clarify the subject for the causal user. I then attempted to solicit other eyes from a WikiProject I assumed might have interest, Misplaced Pages talk:WikiProject Spectroscopy#Stationary-Wave Integrated Fourier Transform Spectrometry (SWIFTS) Nobody has responded yet. The article subject is well beyond my intellectual comprehension, so if you have a differing view on its utility, I hope I can encourage you to voice your thoughts. Since I notice you have 186,000 edits, I'm not going to be the jackass who attempts to tell you how to do so. :) But I do hope you can help here, given your experience. Regards, Cyphoidbomb (talk) 05:12, 15 January 2014 (UTC)

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January 2014

Hello, I'm BracketBot. I have automatically detected that your edit to Topology of uniform convergence may have broken the syntax by modifying 1 "()"s and 1 "<>"s likely mistaking one for another. If you have, don't worry: just edit the page again to fix it. If I misunderstood what happened, or if you have any questions, you can leave a message on my operator's talk page.

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Caratheodory-π solution

I see that you edited this article but did not dispute a PROD placed on it, so this is to let you know that I have restored it following an undeletion request at WP:REFUND, in case you wish to consider taking it to AfD. I have advise the PRODder, but as it was an IP I don't know whether the message will get through. Regards, JohnCD (talk) 17:37, 30 January 2014 (UTC)

Directional symmetry (time series)

I see you deprodded Directional symmetry (time series). I hope that means you are going to perform more than cosmetic edits to it. My opinion is that it needs to be blown up and written from scratch, if it is to exist at all, and your deprod has prevented the blowing-up part. But you can still do the rewriting-from-scratch part, and by so doing get rid of a blight on the encyclopedia. It appears from the nine-year history of the article that nobody else has much interest in doing so. —David Eppstein (talk) 00:43, 1 February 2014 (UTC)

Directional symmetry is now a disambiguation page, so blowing that up and starting over should be no problem if there's content to put there. Michael Hardy (talk) 00:57, 1 February 2014 (UTC)

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Someone trying to delete Degen's Eight-Square Identity

Michael, someone is trying to delete Degen's eight-square identity simply because he finds it uninteresting. I believe in the ideals of Misplaced Pages, but I also believe that for it to work, one should focus on one's strengths and area of expertise, and tread cautiously on unfamiliar territory. Why do some people insist on editing mathematical results when they only have the faintest idea (if any) of what they are doing? :-( Titus III (talk) 08:07, 17 February 2014 (UTC)

Studentized residuals

Hi Michael

You seem to have been the last person to touch the page on "Studentized residual".

I think the formula for the leave-one-out variance is wrong. Once an observation is left out, the fitted values and residuals change, so we need to introduce residuals ${\displaystyle {\widehat {\varepsilon }}_{j(i)}}$ where the "i"th observation is left out, then we can define

${\displaystyle {\widehat {\sigma }}_{(i)}^{2}={1 \over n-m-1}\sum _{\begin{smallmatrix}j=1\\j\neq i\end{smallmatrix}}^{n}{\widehat {\varepsilon }}_{j(i)}^{\,2},}$

in which the sum, according my calculus, equals

${\displaystyle \sum _{j=1}^{n}{\widehat {\varepsilon }}_{j}^{\,2}-{\frac {{\widehat {\varepsilon }}_{i}^{\,2}}{1-h_{ii}}}}$

Which is quite neat, but not equal to what the page currently has.

Agree?

Peter D. — Preceding unsigned comment added by Peter Dalgaard (talk • contribs) 14:58, 17 February 2014 (UTC)

Hello. I'll look at this. Michael Hardy (talk) 19:03, 18 February 2014 (UTC)

Mark-recapture

Hi, I noticed that you have made substantial contributions to the German tank problem, I was hoping you could have a look at mark-recapture and improve that? Jamesmcmahon0 (talk) 11:42, 21 February 2014 (UTC)

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A barnstar for you!

	The Original Barnstar
	Hi Zeeshan313b (talk) 06:02, 12 March 2014 (UTC)

Thank you, Zeeshan313b. Michael Hardy (talk) 16:47, 12 March 2014 (UTC)

Nomination of Orthopraxy for deletion

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1. "Chuckle brother hurt in crash". BBC, CBBC Newsround. Friday April 27 2007. Retrieved 31 March 2010. {{cite web}}: Check date values in: |date= (help)