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Display information for equation id:math.1256.45 on revision:1256
* Page found: Das d'Alembertsche Prinzip (eq math.1256.45)
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Hash: 8649c9b8378e43055a4131a049f90be2
TeX (original user input):
\begin{align}
& {{m}_{i}}{{{\ddot{\vec{r}}}}_{i}}(t)-{{{\vec{X}}}_{i}}={{{\vec{Z}}}_{i}}\quad i=1...N \\
& \to \sum\limits_{i}{\left( {{m}_{i}}{{{\ddot{\vec{r}}}}_{i}}(t)-{{{\vec{X}}}_{i}} \right)\delta {{{\vec{r}}}_{i}}=}\sum\limits_{i}{{{{\vec{Z}}}_{i}}\delta {{{\vec{r}}}_{i}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{m}_{i}}{{\ddot {\vec {r}}}_{i}}(t)-{{\vec {X}}_{i}}={{\vec {Z}}_{i}}\quad i=1...N\\&\to \sum \limits _{i}{\left({{m}_{i}}{{\ddot {\vec {r}}}_{i}}(t)-{{\vec {X}}_{i}}\right)\delta {{\vec {r}}_{i}}=}\sum \limits _{i}{{{\vec {Z}}_{i}}\delta {{\vec {r}}_{i}}}\\\end{aligned}}
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MathML (2.878 KB / 502 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><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><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 stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>−</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>X</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>Z</mi><mo>→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mspace width="1em"></mspace><mi>i</mi><mo>=</mo><mn>1</mn><mo>.</mo><mo>.</mo><mo>.</mo><mi>N</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo accent="false">→</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><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 stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>−</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>X</mi><mo>→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>δ</mi><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></mrow><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>Z</mi><mo>→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>δ</mi><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></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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