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Display information for equation id:math.1515.2 on revision:1515

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Normalschwingungen Eq: math.1515.2

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

MathML (16.62 KB / 2.419 KB) :

{\displaystyle{\displaystyle 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}}+...}}}}

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MathML (2.401 KB / 425 B) :

V (q_{1}, . . ., q_{f}) = V (0, . . . ., 0) + \sum_{j} {(\frac{\partial V}{\partial q_{j}})}_{0} q_{j} + \frac{1}{2} \sum_{j, k} {(\frac{\partial^{2} V}{\partial q_{j} \partial q_{k}})}_{0} q_{j} q_{k} + . . .

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$V$

$q_{1}$

$q_{f}$

$V$

$j$

$V$

$q_{j}$

$q_{j}$

$j$

$k$

$V$

$q_{j}$

$q_{k}$

$q_{j}$

$q_{k}$

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LaTeXML (experimentell; verwendet MathML) rendering

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