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Display information for equation id:math.1255.141 on revision:1255
* Page found: Das d'Alembertsche Prinzip (eq math.1255.141)
(force rerendering)Occurrences on the following pages:
Hash: a3122c2be48ffbe0c775e47cdf5bbc49
TeX (original user input):
V({{q}_{1}},...,{{q}_{f}})=V(0,....,0)+\sum\limits_{j}{{{\left( \frac{\partial V}{\partial {{q}_{j}}} \right)}_{0}}{{q}_{j}}+\frac{1}{2}\sum\limits_{j,k}{{{\left( \frac{{{\partial }^{2}}V}{\partial {{q}_{j}}\partial {{q}_{k}}} \right)}_{0}}{{q}_{j}}{{q}_{k}}+...}}
TeX (checked):
V({{q}_{1}},...,{{q}_{f}})=V(0,....,0)+\sum \limits _{j}{{{\left({\frac {\partial V}{\partial {{q}_{j}}}}\right)}_{0}}{{q}_{j}}+{\frac {1}{2}}\sum \limits _{j,k}{{{\left({\frac {{{\partial }^{2}}V}{\partial {{q}_{j}}\partial {{q}_{k}}}}\right)}_{0}}{{q}_{j}}{{q}_{k}}+...}}
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (2.401 KB / 425 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi><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><mo>=</mo><mi>V</mi><mo stretchy="false">(</mo><mn>0</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mo>+</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></munder><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>V</mi></mrow></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><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>+</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><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo>,</mo><mi>k</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>V</mi></mrow></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><mi>∂</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>+</mo><mo>.</mo><mo>.</mo><mo>.</mo></mrow></mrow></mstyle></mrow></math>
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