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Display information for equation id:math.1515.39 on revision:1515

* Page found: Normalschwingungen (eq math.1515.39)

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TeX (original user input):

\begin{align}
  & \sum\limits_{k,l}{({{A}_{l}}^{b}{{V}_{lk}}-{{\omega }_{a}}^{2}{{A}_{l}}^{b}{{T}_{lk}}){{A}_{k}}^{a}=0} \\
 & \sum\limits_{k,l}{({{A}_{l}}^{b}{{V}_{lk}}{{A}_{k}}^{a})=\sum\limits_{k,l}{{{\omega }_{a}}^{2}{{A}_{l}}^{b}{{T}_{lk}}{{A}_{k}}^{a}}}={{\omega }_{a}}^{2}{{\delta }_{ab}} \\
\end{align}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (33.286 KB / 3.564 KB) :

k , l ( A l b V l k - ω a 2 A l b T l k ) A k a = 0 k , l ( A l b V l k A k a ) = k , l ω a 2 A l b T l k A k a = ω a 2 δ a b missing-subexpression subscript 𝑘 𝑙 superscript subscript 𝐴 𝑙 𝑏 subscript 𝑉 𝑙 𝑘 superscript subscript 𝜔 𝑎 2 superscript subscript 𝐴 𝑙 𝑏 subscript 𝑇 𝑙 𝑘 superscript subscript 𝐴 𝑘 𝑎 0 missing-subexpression subscript 𝑘 𝑙 superscript subscript 𝐴 𝑙 𝑏 subscript 𝑉 𝑙 𝑘 superscript subscript 𝐴 𝑘 𝑎 subscript 𝑘 𝑙 superscript subscript 𝜔 𝑎 2 superscript subscript 𝐴 𝑙 𝑏 subscript 𝑇 𝑙 𝑘 superscript subscript 𝐴 𝑘 𝑎 superscript subscript 𝜔 𝑎 2 subscript 𝛿 𝑎 𝑏 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\sum\limits_{k,l}{({% {A}_{l}}^{b}{{V}_{lk}}-{{\omega}_{a}}^{2}{{A}_{l}}^{b}{{T}_{lk}}){{A}_{k}}^{a}% =0}\\ &\displaystyle\sum\limits_{k,l}{({{A}_{l}}^{b}{{V}_{lk}}{{A}_{k}}^{a})=\sum% \limits_{k,l}{{{\omega}_{a}}^{2}{{A}_{l}}^{b}{{T}_{lk}}{{A}_{k}}^{a}}}={{% \omega}_{a}}^{2}{{\delta}_{ab}}\\ \end{aligned}}}

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MathML (3.103 KB / 442 B) :

k,l(AlbVlkωa2AlbTlk)Aka=0k,l(AlbVlkAka)=k,lωa2AlbTlkAka=ωa2δab

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