Revision as of 01:40, 29 December 2005 editSadi Carnot (talk | contribs)8,673 editsm added the 3 thermo laws← Previous edit | Latest revision as of 03:59, 23 December 2021 edit undoClueBot NG (talk | contribs)Bots, Pending changes reviewers, Rollbackers6,439,109 editsm Reverting possible vandalism by 124.169.249.11 to version by Sunrise. Report False Positive? Thanks, ClueBot NG. (4098349) (Bot)Tag: Rollback | ||
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#REDIRECT ] {{R from merge}} | |||
This is a list of ]s discovered by ]. '''Bolded''' items are categories for the entries indented underneath instead of individual laws. | |||
* ] (] and ] of ]) | |||
* ] (gases expand equally with the same change of ]) | |||
* ] '''' | |||
* ] (] at constant volume) | |||
*:<math> c_V = \frac{3R} {M}</math> | |||
''']''' | |||
:* ] of ]s - Energy equals ] multiplied by the ] of the ]. | |||
:*: ''E = hν'' | |||
: ''']''' | |||
::* Constancy of the ] | |||
::* ] - Transformations of ] between relatively moving ]. | |||
::*: <math>x' = (x - vt) / \sqrt{1 - v^2/c^2}</math> | |||
::*: <math>y' = y</math> | |||
::*: <math>z' = z</math> | |||
::*: <math>t' = (t - vx/c^2) / \sqrt{1 - v^2/c^2}</math> | |||
::* Law of ] - ] equals ] times ] divided by the ] of ] minus the ] ] of the object's ] to the speed of light. | |||
::*: <math>F = ma / \sqrt{1 - v^2/c^2}</math> | |||
::*] | |||
::*:<math> E = mc^2 </math> (] = ] × ]<sup>2</sup>) | |||
: ''']''' | |||
::* Energy-momentum (including mass via ''E=mc''<sup>2</sup>) curves spacetime. | |||
::*: This is described by the ]: | |||
::*: <math>R_{ab} - {1 \over 2}R\,g_{ab} = {8 \pi G \over c^4} T_{ab}.</math> | |||
::*: <math>R_{ab}</math> is the ], <math>R</math> is the ], <math>g_{ab}</math> is the ], <math>T_{ab}</math> is the ], and the constant is given in terms of <math>\pi</math> (]), <math>c</math> (the ]) and <math>G</math> (the ]). | |||
* ] (]) | |||
*] (]) | |||
''']''' | |||
:* ] - Replaced with ] | |||
:*: *1. ] | |||
:*: *2. ] = ]] Force equals mass times acceleration. | |||
:*: *3. <math>F_{ab}=-F_{ba}</math> Force of a on b equals the ] force of b on a, or for every ] there is an equal and opposite ]. | |||
:* ] | |||
:* ] - ] between two objects equals the ] times the product of the ] divided by the ] between them squared. | |||
:*:<math> F_g = G \frac{m_1m_2} {r^2} </math> | |||
:*:This law is really just the low limit solution of ] and is not accurate with modern high precision gravitational measurements. | |||
* ] - ] between any two ] is equal to the ] of the multiple of the charges divided by 4 ] times the ] times the ] squared between the two charges. | |||
:<math> F = \frac{\left|q_1 q_2\right|}{4 \pi \epsilon_0 r^2} </math> | |||
* ] | |||
:<math> V = IR</math> | |||
* ] (] and ] laws) | |||
* ] | |||
* ] (] and ]s): | |||
{| border="1" style="margin-left: 3em;" | |||
|- | |||
| | |||
{| | |||
|- | |||
||'''Name''' | |||
||'''Partial Differential form''' | |||
|- | |||
||]: | |||
||<math>\nabla \cdot \mathbf{D} = \rho</math> | |||
|- | |||
|| | |||
|- | |||
||Gauss's law for magnetism: | |||
||<math>\nabla \cdot \mathbf{B} = 0</math> | |||
|- | |||
||]: | |||
||<math>\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}</math> | |||
|- | |||
||] + Maxwell's extension: | |||
||<math>\nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}} {\partial t}</math> | |||
|} | |||
|} | |||
* ] of ] | |||
: <math>-\nabla p + | |||
\mu \left( \nabla^2 \mathbf{u} + {1 \over 3} \nabla (\nabla \cdot \mathbf{u} ) \right) + | |||
\rho \mathbf{u} | |||
= \rho \left( { \partial\mathbf{u} \over \partial t} + | |||
\mathbf{u} \cdot \nabla \mathbf{u} | |||
\right) </math> | |||
* ] (voluminal ] ] flow of ] uniform ] liquid through a cylindrical tube with the constant circular cross-section) | |||
:<math> \Phi_{V} = {\pi r^{4}\over 8 \eta} { \triangle p^{\star} \over l}</math> | |||
''']''' | |||
:* ] (] in a ] of a ]) | |||
:* ] (wavelength of the peak of the emission of a black body) :''λ<sub>0</sub>T'' = ''k<sub>w</sub>'' | |||
:* ] (total radiation from a black body) | |||
:*: <math> j^{\star} = \sigma T^4</math> | |||
''']''' | |||
:* ] | |||
:* ] | |||
:* ] | |||
:* ] - sometimes called the ''Fourth Law of Thermodynamics'' | |||
:*: <math> \mathbf{J}_{u} = L_{uu}\, \nabla(1/T) - L_{ur}\, \nabla(m/T) \!</math>; and | |||
:*: <math> \mathbf{J}_{r} = L_{ru}\, \nabla(1/T) - L_{rr}\, \nabla(m/T) \!</math>. | |||
*] (wind travels counterclockwise around ]s in the ]) | |||
''']''' | |||
:* ] - ] in ] multiplied by uncertainty in ] is equal to or greater than ] divided by 2. | |||
:*: <math>\Delta x \Delta p \ge \frac{\hbar}{2} </math> | |||
:* ] - Describes the time dependence of a quantum mechanical system. | |||
:*: <math> H(t) \left| \psi (t) \right\rangle = i \hbar {\partial\over\partial t} \left| \psi (t) \right\rangle</math> | |||
:*: The ] ''H''(''t'') is a ] acting on the state space, <math>\psi (t)</math> is the instantaneous ] at time ''t'', ''i'' is the ], <math>\hbar</math> is ] divided by 2π | |||
It is thought that the successful integration of ] with the ] and ], something no one has achieved so far with a testable ], will lead to a theory of ], the most basic physical law sought after today. | |||
==See also== | |||
* ] | |||
] | |||
] | |||
] | |||
] |
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