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learn easily Maxwell equations with short trick || thermodynamics square short trick HC Verma course
The structure of Maxwell relations is a statement of equality among the second derivatives for continuous functions. It follows directly from the fact that the order of differentiation of an analytic function of two variables is irrelevant (Schwarz theorem). In the case of Maxwell relations the function considered is a thermodynamic potential and {\displaystyle x_{i}}x_{i} and {\displaystyle x_{j}}x_{j} are two different natural variables for that potential,
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