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Display information for equation id:math.869.8 on revision:869
* Page found: Hamiltonsches Prinzip (eq math.869.8)
(force rerendering)Occurrences on the following pages:
Hash: 1d8995fe6ff6755e448fb59111dc4f01
TeX (original user input):
\begin{align}
\delta S\left[ q \right] & =\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{\delta L\left( q,\dot{q},t \right)dt} \\
& =\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{\left( {{\partial }_{q}}L\delta q+{{\partial }_{{\dot{q}}}}L\delta \dot{q} \right)dt}
\end{align}
TeX (checked):
{\begin{aligned}\delta S\left[q\right]&=\int \limits _{{t}_{1}}^{{t}_{2}}{\delta L\left(q,{\dot {q}},t\right)dt}\\&=\int \limits _{{t}_{1}}^{{t}_{2}}{\left({{\partial }_{q}}L\delta q+{{\partial }_{\dot {q}}}L\delta {\dot {q}}\right)dt}\end{aligned}}
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MathML (1.853 KB / 423 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"><mi>δ</mi><mi>S</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>q</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><munderover><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>δ</mi><mi>L</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>q</mi><mo>,</mo><mover><mi>q</mi><mo>˙</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><munderover><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>q</mi></mrow></msub><mi>L</mi><mi>δ</mi><mi>q</mi><mo stretchy="false">+</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></msub><mi>L</mi><mi>δ</mi><mover><mi>q</mi><mo>˙</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi></mrow></mtd></mtr></mtable></mstyle></mrow></math>
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