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\begin{document}
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%\renewcommand{\refname}{{\bfseries{Литература}}}

\begin{multicols}{2}
Потенциалы:
$$F=U-TS$$
$$ W=U+pV$$
$$\Phi=U+pV-TS$$
$$\Omega=U-TS-\mu N$$
Дифференциалы
$$dU=TdS-pdV+\mu dN$$
$$dF=-SdT-pdV+\mu dN$$
$$dW=TdS+Vdp+\mu dN$$
$$d\Phi=-SdT+Vdp+\mu dN$$
$$d\Omega=-SdT-pdV-Nd\mu$$
\end{multicols}

$$\mbox{ Якобиан }\qquad 
\frac{\partial (U, V)}{(x,y)}\equiv\begin{array}{|cc|}\displaystyle{\Big(\frac{\partial U}{\partial x}\Big)_y}&
\displaystyle{\Big(\frac{\partial U}{\partial y}\Big)_x}\\{}&{}\\ \displaystyle{\Big(\frac{\partial
V}{\partial x}\Big)_y}& \displaystyle{\Big(\frac{\partial V}{\partial y}\Big)_x}\end{array},
\qquad\qquad \Big( \frac{\partial U}{\partial
x}\Big)_y=\frac{\partial(U,y)}{\partial(x,y)}=\frac{\partial(y,U)}{\partial(y,x)}$$ 
$$\mbox{ Свойство: }\qquad \frac{\partial(U,V)}{\partial(x,y)}=\frac{\partial(U,V)}{\partial(t,s)}
\frac{\partial(t,s)}{\partial(x,y)}$$


$$\mbox{ Теорема вириала }\qquad  n\langle U\rangle=\left\langle \sum\limits_{k=1} \frac{\partial H}{\partial q_k}q_k\right\rangle=
\left\langle \sum\limits_{k=1} \frac{\partial H}{\partial p_k}p_k\right\rangle=
2\langle K\rangle.$$
$$\mbox{ Эквипарциальная теорема }\qquad 
\left\langle \frac{\partial H}{\partial q_k}q_k\right\rangle=\left\langle \frac{\partial H}{\partial p_k}p_k\right\rangle=kT$$

\vskip2.3cm

\begin{multicols}{2}
Потенциалы:
$$F=U-TS$$
$$ W=U+pV$$
$$\Phi=U+pV-TS$$
$$\Omega=U-TS-\mu N$$
Дифференциалы
$$dU=TdS-pdV+\mu dN$$
$$dF=-SdT-pdV+\mu dN$$
$$dW=TdS+Vdp+\mu dN$$
$$d\Phi=-SdT+Vdp+\mu dN$$
$$d\Omega=-SdT-pdV-Nd\mu$$
\end{multicols}

$$\mbox{ Якобиан }\qquad 
\frac{\partial (U, V)}{(x,y)}\equiv\begin{array}{|cc|}\displaystyle{\Big(\frac{\partial U}{\partial x}\Big)_y}&
\displaystyle{\Big(\frac{\partial U}{\partial y}\Big)_x}\\{}&{}\\ \displaystyle{\Big(\frac{\partial
V}{\partial x}\Big)_y}& \displaystyle{\Big(\frac{\partial V}{\partial y}\Big)_x}\end{array},
\qquad\qquad \Big( \frac{\partial U}{\partial
x}\Big)_y=\frac{\partial(U,y)}{\partial(x,y)}=\frac{\partial(y,U)}{\partial(y,x)}$$ 
$$\mbox{ Свойство: }\qquad \frac{\partial(U,V)}{\partial(x,y)}=\frac{\partial(U,V)}{\partial(t,s)}
\frac{\partial(t,s)}{\partial(x,y)}$$


$$\mbox{ Теорема вириала }\qquad  n\langle U\rangle=\left\langle \sum\limits_{k=1} \frac{\partial H}{\partial q_k}q_k\right\rangle=
\left\langle \sum\limits_{k=1} \frac{\partial H}{\partial p_k}p_k\right\rangle=
2\langle K\rangle.$$
$$\mbox{ Эквипарциальная теорема }\qquad 
\left\langle \frac{\partial H}{\partial q_k}q_k\right\rangle=\left\langle \frac{\partial H}{\partial p_k}p_k\right\rangle=kT$$

\end{document}