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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?

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

  • This question does not appear to be about physics within the scope defined in the help center.
If this question can be reworded to fit the rules in the help center, please edit the question.

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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