In some books, the equipartition law is called a theorem.

But a law is an observation, and cannot be proved. On the other hand, a theorem is something established using earlier assertions.

So what is the history, actually?


closed as off-topic by Qmechanic Aug 7 '18 at 6:16

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    $\begingroup$ I'm voting to close this question (v2) as off-topic because it is about inessential naming tradition rather than physics. $\endgroup$ – Qmechanic Aug 7 '18 at 6:16
  • $\begingroup$ Seriously? @Qmechanic $\endgroup$ – Aditya Agarwal Aug 7 '18 at 6:18
  • $\begingroup$ So a concept being a law or a theorem is a naming tradition? I think, this difference is so significant, that it can affect a whole theory $\endgroup$ – Aditya Agarwal Aug 7 '18 at 6:19
  • $\begingroup$ I wanted to answer, but the question was closed, in any case in a properly sense, is a corollary at all beacause is a direcr consequence of the following equality, that can be proved: $$\left\langle x_{i} \frac{\partial H }{\partial x_{j}}\right\rangle = \delta_{i j} k_{b} T$$ If the quesstion will be opened another time, i will give to you the demonstration and an example. $\endgroup$ – MRT Aug 7 '18 at 6:29
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    $\begingroup$ I disagree with this closure. There are nontrivial physics underlying this choice of terminology, and it falls in the site scope to explain them. $\endgroup$ – Emilio Pisanty Aug 7 '18 at 8:24