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Display information for equation id:math.1960.17 on revision:1960
* Page found: Symplektische Struktur des Phasenraums (eq math.1960.17)
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Hash: 95812974a9577c11fcbe9db940830c06
TeX (original user input):
\sum\limits_{\gamma =1}^{2f}{{}}{{M}_{\alpha \gamma }}{{\left( {{M}^{-1}} \right)}_{\gamma \beta }}=\sum\limits_{\gamma =1}^{2f}{{}}\frac{\partial {{x}_{\alpha }}}{\partial {{y}_{\gamma }}}\frac{\partial {{y}_{\gamma }}}{\partial {{x}_{\beta }}}=\frac{\partial {{x}_{\alpha }}}{\partial {{x}_{\beta }}}={{\delta }_{\alpha \beta }}
TeX (checked):
\sum \limits _{\gamma =1}^{2f}{}{{M}_{\alpha \gamma }}{{\left({{M}^{-1}}\right)}_{\gamma \beta }}=\sum \limits _{\gamma =1}^{2f}{}{\frac {\partial {{x}_{\alpha }}}{\partial {{y}_{\gamma }}}}{\frac {\partial {{y}_{\gamma }}}{\partial {{x}_{\beta }}}}={\frac {\partial {{x}_{\alpha }}}{\partial {{x}_{\beta }}}}={{\delta }_{\alpha \beta }}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>γ</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>f</mi></mrow></mrow></munderover><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>γ</mi></mrow></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>γ</mi><mi>β</mi></mrow></mrow></msub><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>γ</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>f</mi></mrow></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>γ</mi></mrow></msub></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>γ</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi></mrow></mrow></msub></mstyle></mrow></math>
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