signifies the product extended over all the
elementary regions.
Result contained in (16) is equally true for any other physical system, say, one involving radiant energy. For the conditions and the variables are similar to those of the molecular system just employed. The chosen model, the dice system, which served as an easily conceived parallel case, would be equally serviceable in dealing with the elements of radiation.
[20]Such a fictitious space does not occur in the proof of MAXWELL'S distribution, because there conditions are simpler. See footnote to [p. 49].
[21]Compare with pp. [27] and [28] where this permutation process is discussed somewhat fully.
Step b
Determination of a General Expression for the Entropy S of any given Natural State
This step is an easy one. We have in Eq. (10) the relation expressing the universal dependence of entropy