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Display information for equation id:math.1279.156 on revision:1279
* Page found: Das d'Alembertsche Prinzip (eq math.1279.156)
(force rerendering)Occurrences on the following pages:
Hash: 97f76ad80fbe37b09ea8ca4136d43566
TeX (original user input):
\begin{align}
& {{T}_{jk}}=\left( \begin{matrix}
m & 0 & 0 \\
0 & m{{r}^{2}} & 0 \\
0 & 0 & m{{r}^{2}}{{\sin }^{2}}\vartheta \\
\end{matrix} \right) \\
& T=\frac{1}{2}m\left( {{{\dot{r}}}^{2}}+{{r}^{2}}{{{\dot{\vartheta }}}^{2}}+{{r}^{2}}{{\sin }^{2}}\vartheta {{{\dot{\phi }}}^{2}} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{{T}_{jk}}=\left({\begin{matrix}m&0&0\\0&m{{r}^{2}}&0\\0&0&m{{r}^{2}}{{\sin }^{2}}\vartheta \\\end{matrix}}\right)\\&T={\frac {1}{2}}m\left({{\dot {r}}^{2}}+{{r}^{2}}{{\dot {\vartheta }}^{2}}+{{r}^{2}}{{\sin }^{2}}\vartheta {{\dot {\phi }}^{2}}\right)\\\end{aligned}}
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MathML (2.161 KB / 449 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>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mi>k</mi></mrow></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mi>m</mi></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mi>m</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mi>m</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>ϑ</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>T</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mover><mi>r</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mover><mi>ϑ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>ϑ</mi><msup><mover><mi>ϕ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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