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Display information for equation id:math.1255.172 on revision:1255
* Page found: Das d'Alembertsche Prinzip (eq math.1255.172)
(force rerendering)Occurrences on the following pages:
Hash: 44dd3c4d1081680abb790b5a9c13c0b7
TeX (original user input):
\begin{align}
& \sum\limits_{k,l}{{{A}_{l}}^{b}({{V}_{lk}}-{{V}_{kl}}){{A}_{k}}^{a}-{{A}_{l}}^{b}({{\omega }_{a}}^{2}{{T}_{lk}}-{{\omega }_{b}}^{2}{{T}_{kl}}){{A}_{k}}^{a}}=0 \\
& {{V}_{lk}}={{V}_{kl}} \\
& \sum\limits_{k,l}{({{\omega }_{a}}^{2}-{{\omega }_{b}}^{2}){{A}_{l}}^{b}{{T}_{kl}}{{A}_{k}}^{a}}=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&\sum \limits _{k,l}{{{A}_{l}}^{b}({{V}_{lk}}-{{V}_{kl}}){{A}_{k}}^{a}-{{A}_{l}}^{b}({{\omega }_{a}}^{2}{{T}_{lk}}-{{\omega }_{b}}^{2}{{T}_{kl}}){{A}_{k}}^{a}}=0\\&{{V}_{lk}}={{V}_{kl}}\\&\sum \limits _{k,l}{({{\omega }_{a}}^{2}-{{\omega }_{b}}^{2}){{A}_{l}}^{b}{{T}_{kl}}{{A}_{k}}^{a}}=0\\\end{aligned}}
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MathML (3.277 KB / 455 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><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>,</mo><mi>l</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><msup><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msup><mo stretchy="false">(</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>k</mi></mrow></mrow></msub><mo>−</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">)</mo><msup><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msup><mo>−</mo><msup><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msup><mo stretchy="false">(</mo><msup><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>k</mi></mrow></mrow></msub><mo>−</mo><msup><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">)</mo><msup><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msup></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>k</mi></mrow></mrow></msub><mo>=</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>l</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>,</mo><mi>l</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msup><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><msup><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo><msup><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msup><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>l</mi></mrow></mrow></msub><msup><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msup></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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