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Display information for equation id:math.1905.29 on revision:1905
* Page found: Eichtransformation der Lagrangefunktion (eq math.1905.29)
(force rerendering)Occurrences on the following pages:
Hash: 6ba4c31b446209578340b6cbee79d5ac
TeX (original user input):
\begin{align}
& \frac{d}{dt}\frac{\partial L\acute{\ }}{\partial {{{\dot{q}}}_{{}}}}=m\ddot{q}+m{{\omega }^{2}}\dot{q} \\
& \frac{\partial L\acute{\ }}{\partial {{q}_{k}}}=-m{{\omega }^{2}}q+m{{\omega }^{2}}\dot{q} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {d}{dt}}{\frac {\partial L{\acute {\ }}}{\partial {{\dot {q}}_{}}}}=m{\ddot {q}}+m{{\omega }^{2}}{\dot {q}}\\&{\frac {\partial L{\acute {\ }}}{\partial {{q}_{k}}}}=-m{{\omega }^{2}}q+m{{\omega }^{2}}{\dot {q}}\\\end{aligned}}
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MathML (2.317 KB / 427 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><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="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mrow></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"></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><mi>m</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¨</mo></mover></mrow></mrow><mo>+</mo><mi>m</mi><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>L</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></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>=</mo><mo>−</mo><mi>m</mi><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>q</mi><mo>+</mo><mi>m</mi><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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