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Display information for equation id:math.1325.240 on revision:1325
* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1325.240)
(force rerendering)Occurrences on the following pages:
Hash: a12d4473268725802480bf77e34b0505
TeX (original user input):
{{\dot{y}}_{k}}=\left\{ {{y}_{k}},H \right\}=\sum\limits_{i,j=1}^{f}{\frac{\partial {{y}_{k}}}{\partial {{x}_{i}}}{{J}_{ij}}\frac{\partial H}{\partial {{x}_{j}}}}=\sum\limits_{j=1}^{f}{{{J}_{kj}}\frac{\partial H}{\partial {{x}_{j}}}}
TeX (checked):
{{\dot {y}}_{k}}=\left\{{{y}_{k}},H\right\}=\sum \limits _{i,j=1}^{f}{{\frac {\partial {{y}_{k}}}{\partial {{x}_{i}}}}{{J}_{ij}}{\frac {\partial H}{\partial {{x}_{j}}}}}=\sum \limits _{j=1}^{f}{{{J}_{kj}}{\frac {\partial H}{\partial {{x}_{j}}}}}
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MathML (2.288 KB / 391 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>,</mo><mi>H</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>,</mo><mi>j</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><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>k</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>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>j</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow></mrow></mrow></math>
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