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Display information for equation id:math.1346.34 on revision:1346
* Page found: Mechanik des starren Körpers (eq math.1346.34)
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Hash: b8a2e63642e71bdfb455eb5c328045d1
TeX (original user input):
\begin{align}
& {{x}_{m}}\acute{\ }=\sum\limits_{n=1}^{3}{{{R}_{mn}}{{x}_{n}}} \\
& \Rightarrow \sum\limits_{t}{{{x}_{t}}{{\acute{\ }}^{2}}}=\sum\limits_{t}{\sum\limits_{l}{\sum\limits_{s}{{{R}_{tl}}{{R}_{ts}}{{x}_{l}}{{x}_{s}}}=}\sum\limits_{l}{\sum\limits_{s}{\left( \sum\limits_{t}{{}}{{R}_{lt}}^{T}{{R}_{ts}} \right){{x}_{l}}{{x}_{s}}}=\sum\limits_{l}{\sum\limits_{s}{{{\delta }_{ls}}{{x}_{l}}{{x}_{s}}}=\sum\limits_{l}{{{x}_{l}}^{2}}}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{x}_{m}}{\acute {\ }}=\sum \limits _{n=1}^{3}{{{R}_{mn}}{{x}_{n}}}\\&\Rightarrow \sum \limits _{t}{{{x}_{t}}{{\acute {\ }}^{2}}}=\sum \limits _{t}{\sum \limits _{l}{\sum \limits _{s}{{{R}_{tl}}{{R}_{ts}}{{x}_{l}}{{x}_{s}}}=}\sum \limits _{l}{\sum \limits _{s}{\left(\sum \limits _{t}{}{{R}_{lt}}^{T}{{R}_{ts}}\right){{x}_{l}}{{x}_{s}}}=\sum \limits _{l}{\sum \limits _{s}{{{\delta }_{ls}}{{x}_{l}}{{x}_{s}}}=\sum \limits _{l}{{{x}_{l}}^{2}}}}}\\\end{aligned}}
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