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Display information for equation id:math.1508.13 on revision:1508
* Page found: Lagrangegleichungen 2. Art (eq math.1508.13)
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Hash: abcc3acf0ed587df94404c3da7656f61
TeX (original user input):
\frac{d}{dt}\left( \frac{\partial }{\partial {{{\dot{q}}}_{k}}}T \right){{-}_{{}}}\left( \frac{\partial }{\partial {{q}_{k}}}T \right)={Q}_{k}\quad \quad k=1,....,f
TeX (checked):
{\frac {d}{dt}}\left({\frac {\partial }{\partial {{\dot {q}}_{k}}}}T\right){{-}_{}}\left({\frac {\partial }{\partial {{q}_{k}}}}T\right)={Q}_{k}\quad \quad k=1,....,f
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MathML (1.507 KB / 342 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"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mi>T</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mo>−</mo><mrow data-mjx-texclass="ORD"></mrow></msub><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><mi>T</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mspace width="1em"></mspace><mspace width="1em"></mspace><mi>k</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mi>f</mi></mstyle></mrow></math>
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