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Physical significance of entropy or of the second law

PART II ANALYTICAL EXPRESSIONS FOR A FEW PRIMARY RELATIONS

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At the beginning of this presentation we disclaimed any purpose of giving a rigorous proof for any of the many formulas with which this subject bristles. We propose only to give in some cases an outline of the main steps of the demonstration and merely for the purpose of getting a clearer physical insight into certain states and relations. Pre-eminent in importance is the state of thermal equilibrium (see pp. 19, 52, 53) and we will therefore consider first its main characteristic:

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