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Display information for equation id:math.1906.10 on revision:1906
* Page found: Forminvarianz der Lagrangegleichungen (eq math.1906.10)
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Hash: 7ef318e79046ffec57bb19869df6327c
TeX (original user input):
\begin{align}
& {{f}_{k}}({{Q}_{i}},t)={{q}_{k}} \\
& \sum\limits_{i}{{}}\frac{\partial {{f}_{k}}}{\partial {{Q}_{i}}}{{{\dot{Q}}}_{i}}+\frac{\partial {{f}_{k}}}{\partial t}={{{\dot{q}}}_{k}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{f}_{k}}({{Q}_{i}},t)={{q}_{k}}\\&\sum \limits _{i}{}{\frac {\partial {{f}_{k}}}{\partial {{Q}_{i}}}}{{\dot {Q}}_{i}}+{\frac {\partial {{f}_{k}}}{\partial t}}={{\dot {q}}_{k}}\\\end{aligned}}
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MathML (1.786 KB / 390 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"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><munder><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mover><mi>Q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><msub><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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