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Display information for equation id:math.1346.13 on revision:1346

* Page found: Mechanik des starren Körpers (eq math.1346.13)

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Hash: 6d4ef40f2dd6a6a1cadbe9940928388e

TeX (original user input):

\frac{1}{2}\sum\limits_{i=1}^{n}{{{m}_{i}}{{{\bar{v}}}^{(i)}}^{2}}=\frac{1}{2}\sum\limits_{i=1}^{n}{{{m}_{i}}}{{\left( \bar{V}+\bar{\omega }\times {{{\bar{x}}}^{(i)}} \right)}^{2}}=\frac{1}{2}\sum\limits_{i=1}^{n}{{{m}_{i}}}{{V}^{2}}+\bar{V}\cdot \sum\limits_{i=1}^{n}{{{m}_{i}}}\left( \bar{\omega }\times {{{\bar{x}}}^{(i)}} \right)+\frac{1}{2}\sum\limits_{i=1}^{n}{{{m}_{i}}}{{\left( \bar{\omega }\times {{{\bar{x}}}^{(i)}} \right)}^{2}}

TeX (checked):

{\frac {1}{2}}\sum \limits _{i=1}^{n}{{{m}_{i}}{{\bar {v}}^{(i)}}^{2}}={\frac {1}{2}}\sum \limits _{i=1}^{n}{{m}_{i}}{{\left({\bar {V}}+{\bar {\omega }}\times {{\bar {x}}^{(i)}}\right)}^{2}}={\frac {1}{2}}\sum \limits _{i=1}^{n}{{m}_{i}}{{V}^{2}}+{\bar {V}}\cdot \sum \limits _{i=1}^{n}{{m}_{i}}\left({\bar {\omega }}\times {{\bar {x}}^{(i)}}\right)+{\frac {1}{2}}\sum \limits _{i=1}^{n}{{m}_{i}}{{\left({\bar {\omega }}\times {{\bar {x}}^{(i)}}\right)}^{2}}

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MathML (4.453 KB / 449 B) :

\frac{1}{2} \sum_{i = 1}^{n} m_{i} {\bar{v}}^{(i)}^{2} = \frac{1}{2} \sum_{i = 1}^{n} m_{i} {(\bar{V} + \bar{ω} \times {\bar{x}}^{(i)})}^{2} = \frac{1}{2} \sum_{i = 1}^{n} m_{i} V^{2} + \bar{V} \cdot \sum_{i = 1}^{n} m_{i} (\bar{ω} \times {\bar{x}}^{(i)}) + \frac{1}{2} \sum_{i = 1}^{n} m_{i} {(\bar{ω} \times {\bar{x}}^{(i)})}^{2}

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Identifiers

$i$

$n$

$m_{i}$

$\bar{v}$

$i$

$i$

$n$

$m_{i}$

$\bar{V}$

$\bar{ω}$

$\bar{x}$

$i$

$i$

$n$

$m_{i}$

$V$

$\bar{V}$

$i$

$n$

$m_{i}$

$\bar{ω}$

$\bar{x}$

$i$

$i$

$n$

$m_{i}$

$\bar{ω}$

$\bar{x}$

$i$

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