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Display information for equation id:math.1142.13 on revision:1142
* Page found: Trägheitstensor (eq math.1142.13)
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Hash: ef5fffd4349bf2f046cd27c44be4728a
TeX (original user input):
{{T}_{Rot}}=\frac{1}{2}\sum\limits_{l,m=1}^{3}{{\underline{J}}_{lm}{{\omega }_{l}}{{\omega }_{m}}}=\frac{1}{2}{{\omega }^{2}}\sum\limits_{l,m=1}^{3}{{\underline{J}}_{lm}{{n}_{l}}{{n}_{m}}}
TeX (checked):
{{T}_{Rot}}={\frac {1}{2}}\sum \limits _{l,m=1}^{3}{{\underline {J}}_{lm}{{\omega }_{l}}{{\omega }_{m}}}={\frac {1}{2}}{{\omega }^{2}}\sum \limits _{l,m=1}^{3}{{\underline {J}}_{lm}{{n}_{l}}{{n}_{m}}}
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MathML (1.854 KB / 348 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>o</mi><mi>t</mi></mrow></mrow></msub></mstyle><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>l</mi><mo>,</mo><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"><msub><mrow data-mjx-texclass="ORD"><munder><mi>J</mi><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>m</mi></mrow></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></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><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>,</mo><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"><msub><mrow data-mjx-texclass="ORD"><munder><mi>J</mi><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>m</mi></mrow></mrow></msub><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mrow></math>
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