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Display information for equation id:math.1345.15 on revision:1345
* Page found: Mechanik des starren Körpers (eq math.1345.15)
(force rerendering)Occurrences on the following pages:
Hash: 50db9ae02a59e0776a356c90099af6e4
TeX (original user input):
T=\frac{1}{2}\sum\limits_{i=1}^{n}{{{m}_{i}}{{{\bar{v}}}^{(i)}}^{2}}=\frac{1}{2}M{{V}^{2}}+\frac{1}{2}\sum\limits_{m=1}^{3}{\sum\limits_{n=1}^{3}{{}}{{\omega }^{m}}{{J}_{mn}}}{{\omega }^{n}}
TeX (checked):
T={\frac {1}{2}}\sum \limits _{i=1}^{n}{{{m}_{i}}{{\bar {v}}^{(i)}}^{2}}={\frac {1}{2}}M{{V}^{2}}+{\frac {1}{2}}\sum \limits _{m=1}^{3}{\sum \limits _{n=1}^{3}{}{{\omega }^{m}}{{J}_{mn}}}{{\omega }^{n}}
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MathML (2.078 KB / 402 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msup><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>i</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>M</mi><msup><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><mrow data-mjx-texclass="ORD"><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub></mrow><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mstyle></mrow></math>
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