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Display information for equation id:math.1926.0 on revision:1926
* Page found: Zeitliche Translationsinvarianz (eq math.1926.0)
(force rerendering)Occurrences on the following pages:
Hash: 962bca61cbe1f47e4e8632998f5e7504
TeX (original user input):
\begin{align}
& {{{\bar{r}}}_{i}}={{{\bar{r}}}_{i}}({{q}_{1}},...,{{q}_{f}}) \\
& \frac{\partial }{\partial t}{{{\bar{r}}}_{i}}=0\Rightarrow {{{\dot{\bar{r}}}}_{i}}=\sum\limits_{j}^{{}}{\frac{\partial }{\partial {{q}_{j}}}{{{\bar{r}}}_{i}}{{{\dot{q}}}_{j}}_{{}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\bar {r}}_{i}}={{\bar {r}}_{i}}({{q}_{1}},...,{{q}_{f}})\\&{\frac {\partial }{\partial t}}{{\bar {r}}_{i}}=0\Rightarrow {{\dot {\bar {r}}}_{i}}=\sum \limits _{j}^{}{{\frac {\partial }{\partial {{q}_{j}}}}{{\bar {r}}_{i}}{{\dot {q}}_{j}}_{}}\\\end{aligned}}
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MathML (2.564 KB / 459 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><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><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><mi>t</mi></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mn>0</mn><mo>⇒</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><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>j</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><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>j</mi></mrow></msub><mrow data-mjx-texclass="ORD"></mrow></msub></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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