There is interplay between the fundamental forms and the equations of state. The equations of state can be obtained from any fundamental form. On the other hand, from a certain set of equations of state, the fundamental form can be obtained.
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Fink, J.K. (2009). Equations of State. In: Physical Chemistry in Depth. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01014-9_4
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