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Display information for equation id:math.2039.30 on revision:2039
* Page found: Stabilität und Langzeitverhalten (eq math.2039.30)
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Hash: b482e3cd23fd8e008aca1a4318f8041a
TeX (original user input):
\begin{align}
& trA=div\bar{F}=\sum\limits_{k=1}^{f}{\left( \frac{\partial }{\partial {{q}_{k}}}\frac{\partial H}{\partial {{p}_{k}}}-\frac{\partial }{\partial {{p}_{k}}}\frac{\partial H}{\partial {{q}_{k}}} \right)=}0 \\
& trA=0=\sum\limits_{i=1}^{2f}{{{\lambda }_{i}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&trA=div{\bar {F}}=\sum \limits _{k=1}^{f}{\left({\frac {\partial }{\partial {{q}_{k}}}}{\frac {\partial H}{\partial {{p}_{k}}}}-{\frac {\partial }{\partial {{p}_{k}}}}{\frac {\partial H}{\partial {{q}_{k}}}}\right)=}0\\&trA=0=\sum \limits _{i=1}^{2f}{{\lambda }_{i}}\\\end{aligned}}
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MathML (2.625 KB / 480 B) :
<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"><mi>t</mi><mi>r</mi><mi>A</mi><mo stretchy="false">=</mo><mi>d</mi><mi>i</mi><mi>v</mi><mover><mi>F</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</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="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</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><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</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><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo></mrow><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>t</mi><mi>r</mi><mi>A</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</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>λ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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