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Display information for equation id:math.1898.6 on revision:1898
* Page found: Das hamiltonsche Wirkungsprinzip (eq math.1898.6)
(force rerendering)Occurrences on the following pages:
Hash: 9a48465aac45a2f945ef7f9d10966a76
TeX (original user input):
\begin{align}
& L=T-V=\frac{m}{2}{{{\dot{q}}}^{2}}-\frac{m{{\omega }^{2}}}{2}{{q}^{2}} \\
& \delta W=\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt\delta \left\{ \frac{m}{2}{{{\dot{q}}}^{2}}-\frac{m{{\omega }^{2}}}{2}{{q}^{2}} \right\}} \\
\end{align}
TeX (checked):
{\begin{aligned}&L=T-V={\frac {m}{2}}{{\dot {q}}^{2}}-{\frac {m{{\omega }^{2}}}{2}}{{q}^{2}}\\&\delta W=\int \limits _{{t}_{1}}^{{t}_{2}}{dt\delta \left\{{\frac {m}{2}}{{\dot {q}}^{2}}-{\frac {m{{\omega }^{2}}}{2}}{{q}^{2}}\right\}}\\\end{aligned}}
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MathML (2.332 KB / 460 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>L</mi><mo>=</mo><mi>T</mi><mo>−</mo><mi>V</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mi>δ</mi><mi>W</mi><mo>=</mo><munderover><mo form="prefix" texclass="OP">∫</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>d</mi><mi>t</mi><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">}</mo></mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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