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Display information for equation id:math.1346.75 on revision:1346

* Page found: Mechanik des starren Körpers (eq math.1346.75)

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TeX (original user input):

\begin{align}
  & {{J}_{mn}}\acute{\ }=\int_{{}}^{{}}{{{d}^{3}}x}\rho (\bar{x})\left[ \left( \sum\limits_{t}{\left( {{x}_{t}}^{2}+{{a}_{t}}^{2} \right)} \right){{\delta }_{mn}}-{{x}_{m}}{{x}_{n}}-{{a}_{m}}{{a}_{n}} \right] \\ 
 & {{J}_{mn}}\acute{\ }={{J}_{mn}}+\int_{{}}^{{}}{{{d}^{3}}x}\rho (\bar{x})\left[ \left( \sum\limits_{t}{\left( {{a}_{t}}^{2} \right)} \right){{\delta }_{mn}}-{{a}_{m}}{{a}_{n}} \right]={{J}_{mn}}+M\left[ {{a}^{2}}{{\delta }_{mn}}-{{a}_{m}}{{a}_{n}} \right] \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{{J}_{mn}}{\acute {\ }}=\int _{}^{}{{{d}^{3}}x}\rho ({\bar {x}})\left[\left(\sum \limits _{t}{\left({{x}_{t}}^{2}+{{a}_{t}}^{2}\right)}\right){{\delta }_{mn}}-{{x}_{m}}{{x}_{n}}-{{a}_{m}}{{a}_{n}}\right]\\&{{J}_{mn}}{\acute {\ }}={{J}_{mn}}+\int _{}^{}{{{d}^{3}}x}\rho ({\bar {x}})\left[\left(\sum \limits _{t}{\left({{a}_{t}}^{2}\right)}\right){{\delta }_{mn}}-{{a}_{m}}{{a}_{n}}\right]={{J}_{mn}}+M\left[{{a}^{2}}{{\delta }_{mn}}-{{a}_{m}}{{a}_{n}}\right]\\\end{aligned}}

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\begin{aligned} J_{m n} \overset{´}{} = \int_{}^{} d^{3} x ρ (\bar{x}) [(\sum_{t} ({x_{t}}^{2} + {a_{t}}^{2})) δ_{m n} - x_{m} x_{n} - a_{m} a_{n}] \\ J_{m n} \overset{´}{} = J_{m n} + \int_{}^{} d^{3} x ρ (\bar{x}) [(\sum_{t} ({a_{t}}^{2})) δ_{m n} - a_{m} a_{n}] = J_{m n} + M [a^{2} δ_{m n} - a_{m} a_{n}] \end{aligned}

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Identifiers

$J_{m n}$

$\overset{´}{}$

$x$

$ρ$

$\bar{x}$

$t$

$x_{t}$

$a_{t}$

$δ_{m n}$

$x_{m}$

$x_{n}$

$a_{m}$

$a_{n}$

$J_{m n}$

$\overset{´}{}$

$J_{m n}$

$x$

$ρ$

$\bar{x}$

$t$

$a_{t}$

$δ_{m n}$

$a_{m}$

$a_{n}$

$J_{m n}$

$M$

$a$

$δ_{m n}$

$a_{m}$

$a_{n}$

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LaTeXML (experimentell; verwendet MathML) rendering

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