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Display information for equation id:math.1964.16 on revision:1964
* Page found: Symplektische Struktur des Phasenraums (eq math.1964.16)
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Hash: 1c9ffe8406fc958c38983d0715c1c160
TeX (original user input):
\begin{align}
& {{M}_{\alpha \beta }}=\frac{\partial {{x}_{\alpha }}}{\partial {{y}_{\beta }}} \\
& {{\left( {{M}^{-1}} \right)}_{\alpha \beta }}:=\frac{\partial {{y}_{\alpha }}}{\partial {{x}_{\beta }}}\quad \quad \alpha ,\beta =1,...,2f \\
\end{align}
TeX (checked):
{\begin{aligned}&{{M}_{\alpha \beta }}={\frac {\partial {{x}_{\alpha }}}{\partial {{y}_{\beta }}}}\\&{{\left({{M}^{-1}}\right)}_{\alpha \beta }}:={\frac {\partial {{y}_{\alpha }}}{\partial {{x}_{\beta }}}}\quad \quad \alpha ,\beta =1,...,2f\\\end{aligned}}
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<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi></mrow></mrow></msub><mo stretchy="false">=</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>y</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><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 stretchy="false">−</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>α</mi><mi>β</mi></mrow></mrow></msub><mo stretchy="false">:=</mo><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>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><mspace width="1em"></mspace><mspace width="1em"></mspace><mi>α</mi><mo>,</mo><mi>β</mi><mo stretchy="false">=</mo><mn>1</mn><mo>,</mo><mi>...</mi><mo>,</mo><mn>2</mn><mi>f</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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