Temperature, Pressure, Energy and Entropy
(1)
\begin{align} T=\left[\frac{\partial E}{\partial S}\right]}_{V,N} \end{align}
(2)
\begin{align} \frac{1}{T(E,V,N)}\equiv\frac{\partial S(E,V,N)}{\partial E} \end{align}
(3)
\begin{align} \frac{p(E,V,N)}{T(E,V,N)}\equiv\frac{\partial S(E,V,N)}{\partial V} \end{align}
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