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{{short description|Tenth letter in the Greek Alphabet}}
{{Other uses}}
{{Other uses}}{{Distinguish}}{{About|the Greek letter|the archaic Greek letter with a similar name|Koppa (letter)}}{{Distinguish|text=the similar looking Cyrillic letter ]}}
{{Unreferenced|date=December 2009}}
{{More citations needed|date=August 2022}}
{{Wiktionary|Κ|κ}}
{{Greek Alphabet|letter=kappa}} {{Greek Alphabet|letter=kappa}}
] ]
] ]
'''Kappa''' (uppercase '''Κ''', lowercase '''κ''' or '''{{Unicode}}'''; {{lang-el|κάππα}}) is the 10th letter of the ], used to represent the {{IPA link|k||/}} sound in ] and ]. In the system of ] it has a value of 20. It was derived from the Phoenician letter ] ]. Letters that arose from kappa include the Roman ] and Cyrillic ]. '''Kappa''' ({{IPAc-en|'|k|æ|p|ə}};<ref>{{OED|kappa}}</ref> uppercase '''Κ''', lowercase '''κ''' or ] {{not a typo|'''ϰ'''}}; {{langx|el|κάππα}}, ''káppa'') is the tenth letter of the ], representing the ] {{IPA-el|k|IPA}} sound in ] and ]. In the system of ], {{lang|el|Kʹ}} has a value of 20. It was derived from the Phoenician letter ] <span style="background-color: white;">]</span>. Letters that arose from kappa include the Roman ] and Cyrillic ]. The uppercase form is identical to the Latin K.


Greek proper names and placenames containing kappa are often written in English with "c" due to their transliteration into the ] by ancient Romans. However, transliterations of the modern Greek language invariably use the letter "k".{{cn|date=June 2013}} Compare {{lang|el|Κυνοσκεφαλαι}}, '']'' (ancient placename); {{lang|el|κυνος κεφαλαι, ''kunos kephalai''}} (phrase), meaning "]'s ]s". Greek proper names and placenames containing kappa are often written in English with "c" due to the ]s' ]s into the ]: ], ], ]. ] of Greek now use the letter "k", however.{{citation needed|date=February 2018}}

In ], the ] is named after this letter; the ]s of this ] were first calculated by ] (17th century).
{{anchor|Cursive kappa|{{not a typo|ϰ}}}}<!--linked from ], ], ], etc.-->
The ] form {{lang|grc|{{not a typo|ϰ}}}} is generally a simple font variant of lower-case kappa, but it is encoded separately in ] for occasions where it is used as a separate symbol in math and science. In ], the ] is named after this letter; the ]s of this ] were first calculated by ] in the 17th century.


==Symbol== ==Symbol==
===Lowercase (κ)===
* In ], the ] of a ] is given by κ.
;Mathematics and statistics
* In ], the ] of a curve is given by κ.
* In ], the ] of an ] is given by κ as well as ]. * In ], the ] of a ] is given by ''κ''.
* In ], the ] is represented by κ. * In ], the ] of a curve is given by ''κ''.
* In ], the ] of a matrix is given by ''κ''.
* In ], κ is the ratio of the smaller factored moment to the larger factored moment and is used to calculate the critical ] of an unbraced steel member.
* Kappa statistics such as ] and ] are methods for calculating ].
* In ], κ is the multiplication factor, a function of the ''R/X'' ratio of the equivalent power system network, which is used in calculating the peak short-circuit current of a system fault. κ is also used to notate conductivity, the reciprocal of resistivity, ].

* In ], the ] of a compound is given by κ.
;Physics
* In ] and ], kappa represents a measure of diagnostic reliability.
* In ], the ] is denoted by ''κ''.
* In ], the ] of an ] is given by ''κ''.
* In physics, the coupling coefficient in magnetostatics is represented by ''κ''.
* In physics, the dielectric coefficient is represented by ''κ''.
* In ], the ] is represented by ''κ''.
* In ], the ] of a compound is given by ''κ''.

;Engineering
* In ], ''κ'' is the ratio of the smaller factored moment to the larger factored moment and is used to calculate the critical ] of an unbraced steel member.
* In ], ''κ'' is the multiplication factor, a function of the ''R''/''X'' ratio of the equivalent power system network, which is used in calculating the peak short-circuit current of a system fault. ''κ'' is also used to denote conductivity, the reciprocal of resistivity, ].

;Biology and biomedical science
* In ], kappa and kappa prime are important ] motifs for a tertiary interaction of ]s. * In ], kappa and kappa prime are important ] motifs for a tertiary interaction of ]s.
* In ], kappa designates a subtype of an ] component. * In ], kappa designates a subtype of an ] component.
* In ], kappa represents a type of ]. * In ], kappa represents a type of ].
* Kappa statistics such as ] and ] are methods for calculating ].


;Psychology and psychiatry
Upper-case letter Κ is used as a symbol for:
* In ] and ], kappa represents a measure of diagnostic reliability.

;Economics
* In ], kappa represents the capital-utilization rate.<ref>{{Cite web|title=University of Hong Kong School of Business|url=http://www.sef.hku.hk/tpg/econ6022b/lecture_note_6_revised.pdf|website=HKU}}</ref>


===Uppercase (Κ)===
;History
* In ], the ] (from Κοινη, ''Koine'', the common text). * In ], the ] (from Κοινη, ''Koine'', the common text).
* In ], kappa is often used to denote an ] that is also a ].
{{clear}}


;Mathematics and statistics
==Character Encodings==
* In ], kappa is often used to denote an ] that is also a ].

* Greek Kappa / Coptic Kapa

{{charmap
|039A|name1=Greek Capital Letter Kappa
|03BA|name2=Greek Small Letter Kappa
|03F0|name3=Greek Kappa Symbol
|2C94|name4=Coptic Capital Letter Kapa
|2C95|name5=Coptic Small Letter Kapa
|map2=DOS Greek|map2char1=89|map2char2=A1
|map3=DOS Greek-2|map3char1=B5|map3char2=E4
|map4=Windows 1253|map4char1=CA|map4char2=EA
|namedref1=TeX|ref1char2=\kappa
}}


;Chemistry
* Mathematical Kappa
* In ], kappa is used to denote the ] of the compound.
* In ], the ] represents the amount of an oxidizing agent required for bleaching a pulp.


==Unicode==
{{charmap
|1D6B1|name1=Mathematical Bold<br />Capital Kappa
|1D6CB|name2=Mathematical Bold<br />Small Kappa
|1D6DE|name3=Mathematical Bold<br />Kappa Symbol
|1D6EB|name4=Mathematical Italic<br />Capital Kappa
|1D705|name5=Mathematical Italic<br />Small Kappa
}}


* {{unichar|039A|html=}}
{{charmap
* {{unichar|03BA|html=}}
|1D718|name1=Mathematical Italic<br />Kappa Symbol
* {{unichar|03F0|html=}}
|1D725|name2=Mathematical Bold Italic<br />Capital Kappa
* {{unichar|2C94|html=}}
|1D73F|name3=Mathematical Bold Italic<br />Small Kappa
* {{unichar|2C95|html=}}
|1D752|name4=Mathematical Bold Italic<br />Kappa Symbol
* {{unichar|2CB8|html=}}
|1D75F|name5=Mathematical Sans-Serif<br />Bold Capital Kappa
* {{unichar|2CB9|html=}}
}}
* {{unichar|1D6B1|html=}}{{efn|The {{sc|mathematical}} symbols are only used for math. Stylized Greek text should be encoded using the normal Greek letters, with markup and formatting to indicate text style.}}
* {{unichar|1D6CB|html=}}
* {{unichar|1D6DE|html=}}
* {{unichar|1D6EB|html=}}
* {{unichar|1D705|html=}}
* {{unichar|1D718|html=}}
* {{unichar|1D725|html=}}
* {{unichar|1D73F|html=}}
* {{unichar|1D752|html=}}
* {{unichar|1D75F|html=}}
* {{unichar|1D779|html=}}
* {{unichar|1D78C|html=}}
* {{unichar|1D799|html=}}
* {{unichar|1D7B3|html=}}
* {{unichar|1D7C6|html=}}
{{notelist}}


{{commons category|Kappa (letter)}}{{wiktionary|Κ|κ}}
{{charmap
|1D779|name1=Mathematical Sans-Serif<br />Bold Small Kappa
|1D78C|name2=Mathematical Sans-Serif<br />Bold Kappa Symbol
|1D799|name3=Mathematical Sans-Serif<br />Bold Italic Capital Kappa
|1D7B3|name4=Mathematical Sans-Serif<br />Bold Italic Small Kappa
|1D7C6|name5=Mathematical Sans-Serif<br />Bold Italic Kappa Symbol
}}


==References==
These characters are used only as mathematical symbols. Stylized Greek text should be encoded using the normal Greek letters, with markup and formatting to indicate text style.
{{reflist}}


] ]

Latest revision as of 00:05, 6 January 2025

Tenth letter in the Greek Alphabet For other uses, see Kappa (disambiguation).This article is about the Greek letter. For the archaic Greek letter with a similar name, see Koppa (letter).Not to be confused with the similar looking Cyrillic letter Ka.
This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.
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Greek alphabet
Αα Alpha Νν Nu
Ββ Beta Ξξ Xi
Γγ Gamma Οο Omicron
Δδ Delta Ππ Pi
Εε Epsilon Ρρ Rho
Ζζ Zeta Σσς Sigma
Ηη Eta Ττ Tau
Θθ Theta Υυ Upsilon
Ιι Iota Φφ Phi
Κκ Kappa Χχ Chi
Λλ Lambda Ψψ Psi
Μμ Mu Ωω Omega
History
Archaic local variants
Ϝ Digamma Ͱ Heta
Ϻ San Ϙ Koppa
Ͷ Ͳ Sampi
Diacritics and other symbols
Diacritics Ligatures Numerals (Attic)
Related topics
Variant kappa
Greek word καί written with a handwritten variant of kappa, from the Byzantine period

Kappa (/ˈkæpə/; uppercase Κ, lowercase κ or cursive ϰ; Greek: κάππα, káppa) is the tenth letter of the Greek alphabet, representing the voiceless velar plosive IPA: [k] sound in Ancient and Modern Greek. In the system of Greek numerals, has a value of 20. It was derived from the Phoenician letter kaph . Letters that arose from kappa include the Roman K and Cyrillic К. The uppercase form is identical to the Latin K.

Greek proper names and placenames containing kappa are often written in English with "c" due to the Romans' transliterations into the Latin alphabet: Constantinople, Corinth, Crete. All formal modern romanizations of Greek now use the letter "k", however.

The cursive form ϰ is generally a simple font variant of lower-case kappa, but it is encoded separately in Unicode for occasions where it is used as a separate symbol in math and science. In mathematics, the kappa curve is named after this letter; the tangents of this curve were first calculated by Isaac Barrow in the 17th century.

Symbol

Lowercase (κ)

Mathematics and statistics
Physics
Engineering
  • In structural engineering, κ is the ratio of the smaller factored moment to the larger factored moment and is used to calculate the critical elastic moment of an unbraced steel member.
  • In electrical engineering, κ is the multiplication factor, a function of the R/X ratio of the equivalent power system network, which is used in calculating the peak short-circuit current of a system fault. κ is also used to denote conductivity, the reciprocal of resistivity, rho.
Biology and biomedical science
Psychology and psychiatry
Economics

Uppercase (Κ)

History
Mathematics and statistics
Chemistry

Unicode

  • U+039A Κ GREEK CAPITAL LETTER KAPPA (&Kappa;)
  • U+03BA κ GREEK SMALL LETTER KAPPA (&kappa;)
  • U+03F0 ϰ GREEK KAPPA SYMBOL (&kappav;, &varkappa;)
  • U+2C94 Ⲕ COPTIC CAPITAL LETTER KAPA
  • U+2C95 ⲕ COPTIC SMALL LETTER KAPA
  • U+2CB8 Ⲹ COPTIC CAPITAL LETTER DIALECT-P KAPA
  • U+2CB9 ⲹ COPTIC SMALL LETTER DIALECT-P KAPA
  • U+1D6B1 𝚱 MATHEMATICAL BOLD CAPITAL KAPPA
  • U+1D6CB 𝛋 MATHEMATICAL BOLD SMALL KAPPA
  • U+1D6DE 𝛞 MATHEMATICAL BOLD KAPPA SYMBOL
  • U+1D6EB 𝛫 MATHEMATICAL ITALIC CAPITAL KAPPA
  • U+1D705 𝜅 MATHEMATICAL ITALIC SMALL KAPPA
  • U+1D718 𝜘 MATHEMATICAL ITALIC KAPPA SYMBOL
  • U+1D725 𝜥 MATHEMATICAL BOLD ITALIC CAPITAL KAPPA
  • U+1D73F 𝜿 MATHEMATICAL BOLD ITALIC SMALL KAPPA
  • U+1D752 𝝒 MATHEMATICAL BOLD ITALIC KAPPA SYMBOL
  • U+1D75F 𝝟 MATHEMATICAL SANS-SERIF BOLD CAPITAL KAPPA
  • U+1D779 𝝹 MATHEMATICAL SANS-SERIF BOLD SMALL KAPPA
  • U+1D78C 𝞌 MATHEMATICAL SANS-SERIF BOLD KAPPA SYMBOL
  • U+1D799 𝞙 MATHEMATICAL SANS-SERIF BOLD ITALIC CAPITAL KAPPA
  • U+1D7B3 𝞳 MATHEMATICAL SANS-SERIF BOLD ITALIC SMALL KAPPA
  • U+1D7C6 𝟆 MATHEMATICAL SANS-SERIF BOLD ITALIC KAPPA SYMBOL
  1. The MATHEMATICAL symbols are only used for math. Stylized Greek text should be encoded using the normal Greek letters, with markup and formatting to indicate text style.

References

  1. "kappa". Oxford English Dictionary (Online ed.). Oxford University Press. (Subscription or participating institution membership required.)
  2. "University of Hong Kong School of Business" (PDF). HKU.
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