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Display information for equation id:math.3369.55 on revision:3369
* Page found: Kerndrehimpulse und elektromagnetische Kernmomente (eq math.3369.55)
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Hash: 37abe73b793103aaaacc8444e1cca385
TeX (original user input):
a_{2}=\int\rho(r')r'^{2}\left(-\frac{1}{2}+\frac{3}{2}\cos^{2}\alpha\right)=\frac{1}{2}\int\rho(r')(3z^{2}-r'^{2})d\tau\equiv\frac{1}{2}eQ
TeX (checked):
a_{2}=\int \rho (r')r'^{2}\left(-{\frac {1}{2}}+{\frac {3}{2}}\cos ^{2}\alpha \right)={\frac {1}{2}}\int \rho (r')(3z^{2}-r'^{2})d\tau \equiv {\frac {1}{2}}eQ
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MathML (1.689 KB / 373 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>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mo texclass="OP">∫</mo><mi>ρ</mi><mo stretchy="false">(</mo><msup><mi>r</mi><mo>′</mo></msup><mo stretchy="false">)</mo><mi>r</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mi>cos</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>α</mi><mo data-mjx-texclass="CLOSE">)</mo></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><mo texclass="OP">∫</mo><mi>ρ</mi><mo stretchy="false">(</mo><msup><mi>r</mi><mo>′</mo></msup><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mn>3</mn><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>r</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo><mi>d</mi><mi>τ</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><mi>e</mi><mi>Q</mi></mstyle></mrow></math>
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