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Display information for equation id:math.1149.9 on revision:1149
* Page found: Rotierendes Pendel (eq math.1149.9)
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Hash: e2ef6d64dd35a7012cafa81fc155ad6d
TeX (original user input):
\frac{\partial L}{\partial \varphi }=\frac{m}{2}aL\omega \dot{\varphi }\cos \left( \varphi -\omega t \right)-mgL\sin \left( \varphi \right)
TeX (checked):
{\frac {\partial L}{\partial \varphi }}={\frac {m}{2}}aL\omega {\dot {\varphi }}\cos \left(\varphi -\omega t\right)-mgL\sin \left(\varphi \right)
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MathML (1.118 KB / 322 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"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>φ</mi></mrow></mrow></mfrac></mrow><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><mi>a</mi><mi>L</mi><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>φ</mi><mo>˙</mo></mover></mrow></mrow><mi>cos</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>φ</mi><mo>−</mo><mi>ω</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mi>m</mi><mi>g</mi><mi>L</mi><mi>sin</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>φ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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