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Display information for equation id:math.2016.39 on revision:2016
* Page found: Kinetische Energie und Trägheitstensor (eq math.2016.39)
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Hash: 585d2b8efee4ce057b7652c4010740c7
TeX (original user input):
\bar{\bar{J}}=\int_{{}}^{{}}{{{d}^{3}}x\rho (\bar{x})\left( \begin{matrix}
   {{x}_{2}}^{2}+{{x}_{3}}^{2} & -{{x}_{1}}{{x}_{2}} & -{{x}_{1}}{{x}_{3}}  \\
   -{{x}_{1}}{{x}_{2}} & {{x}_{3}}^{2}+{{x}_{1}}^{2} & -{{x}_{2}}{{x}_{3}}  \\
   -{{x}_{1}}{{x}_{3}} & -{{x}_{2}}{{x}_{3}} & {{x}_{1}}^{2}+{{x}_{2}}^{2}  \\
\end{matrix} \right)}
TeX (checked):
{\bar {\bar {J}}}=\int _{}^{}{{{d}^{3}}x\rho ({\bar {x}})\left({\begin{matrix}{{x}_{2}}^{2}+{{x}_{3}}^{2}&-{{x}_{1}}{{x}_{2}}&-{{x}_{1}}{{x}_{3}}\\-{{x}_{1}}{{x}_{2}}&{{x}_{3}}^{2}+{{x}_{1}}^{2}&-{{x}_{2}}{{x}_{3}}\\-{{x}_{1}}{{x}_{3}}&-{{x}_{2}}{{x}_{3}}&{{x}_{1}}^{2}+{{x}_{2}}^{2}\\\end{matrix}}\right)}
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MathML (2.909 KB / 455 B) :

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>J</mi><mo>¯</mo></mover></mrow></mrow><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>x</mi><mi>ρ</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd><mtd><mo>−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd><mtd><mo>−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd><mtd><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd><mtd><mo>−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><mo>−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mstyle></mrow></math>
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