test

[Genady]

\[\phi(x) \rightarrow \phi(x+\xi)=\phi(x)+\xi^{\nu} \partial_{\nu} \phi(x) + ...\]

\[\frac {\delta \phi} {\delta \xi^{nu}} = \partial_{\nu} \phi\]

\[\frac {\delta \mathcal L} {\delta \xi^{nu}} = \partial_{\nu} \mathcal L\]

\[\frac {\delta \mathcal L[\phi, \partial_{mu} \phi]} {\partial \xi^{\nu}}=\partial_{mu} (\frac {\partial \mathcal L}{\partial (\partial_{mu} \phi)} \frac {\delta \phi} {\delta \xi^{nu}})\]

Edited February 26 by Genady

[studiot]

[math]{\begin{array}{*{20}{c}}
   {{Z_{11}}} \hfill & {{Z_{12}}} \hfill & {{Z_{13}}} \hfill  \\
   {{Z_{21}}} \hfill & {{Z_{22}}} \hfill & {{Z_{23}}} \hfill  \\
   {{Z_{31}}} \hfill & {{Z_{32}}} \hfill & {{Z_{33}}} \hfill  \\
\end{array}}[/math]

[math]\left[ {\begin{array}{*{20}{c}}
   {{R_{11}}} \hfill & {{R_{12}}} \hfill & {{R_{13}}} \hfill  \\
   {{R_{21}}} \hfill & {{R_{22}}} \hfill & {{R_{23}}} \hfill  \\
   {{R_{31}}} \hfill & {{R_{32}}} \hfill & {{R_{33}}} \hfill  \\
\end{array}} \right][/math]

[Genady]

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Edited October 28 by Genady