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Display information for equation id:math.1507.22 on revision:1507
* Page found: Lagrangegleichungen 2. Art (eq math.1507.22)
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Hash: a9e3583f561072e337527c8fa59b5d28
TeX (original user input):
\begin{align}
& T({{q}_{{}}},{{{\dot{q}}}_{{}}},t)=\frac{1}{2}m{{c}^{2}}+\frac{1}{2}m{{{\dot{q}}}^{2}}{{({{R}_{o}}^{{}}-ct)}^{2}} \\
& V(q,\dot{q},t)=0 \\
& L=\frac{1}{2}m{{c}^{2}}+\frac{1}{2}m{{{\dot{q}}}^{2}}{{({{R}_{o}}^{{}}-ct)}^{2}} \\
\end{align}
TeX (checked):
{\begin{aligned}&T({{q}_{}},{{\dot {q}}_{}},t)={\frac {1}{2}}m{{c}^{2}}+{\frac {1}{2}}m{{\dot {q}}^{2}}{{({{R}_{o}}^{}-ct)}^{2}}\\&V(q,{\dot {q}},t)=0\\&L={\frac {1}{2}}m{{c}^{2}}+{\frac {1}{2}}m{{\dot {q}}^{2}}{{({{R}_{o}}^{}-ct)}^{2}}\\\end{aligned}}
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MathML (2.638 KB / 409 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"><mi>T</mi><mo stretchy="false">(</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"></mrow></msub><mo>,</mo><msub><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"></mrow></msub><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>m</mi><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>m</mi><msup><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msup><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mrow data-mjx-texclass="ORD"></mrow></msup><mo stretchy="false">−</mo><mi>c</mi><mi>t</mi><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>V</mi><mo stretchy="false">(</mo><mi>q</mi><mo>,</mo><mover><mi>q</mi><mo>˙</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>L</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>m</mi><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>m</mi><msup><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msup><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mrow data-mjx-texclass="ORD"></mrow></msup><mo stretchy="false">−</mo><mi>c</mi><mi>t</mi><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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