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I struggle with the abstraction of mathematical definitions and, I'm really seeking more to understand the relation of the physical variables of thermodynamics.

Why are all of the variables interdependent by a linear relationship? Or, is it incorrect to say such a thing?

Is it because, you look at the change in every variable as a function of the changes of every other variable?

Please know, the time and assistance of all those who respond is deeply appreciated. Sincere thanks.

M.