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Display information for equation id:math.3383.52 on revision:3383
* Page found: Kerndrehimpulse und elektromagnetische Kernmomente (eq math.3383.52)
(force rerendering)Occurrences on the following pages:
Hash: e964c9cbba2a0ae42e15e204ccb24cc1
TeX (original user input):
\phi(r,\theta=0)=\frac{1}{4\pi\epsilon_{0}}\int\frac{\rho(r')d\tau}{|r-r'|}=\frac{1}{4\pi\epsilon_{0}}\int\frac{\rho(r')r'^{n}}{r^{n+1}}\frac{1}{r^{n+1}}P_{n}\cos(\alpha)d\tau
TeX (checked):
\phi (r,\theta =0)={\frac {1}{4\pi \epsilon _{0}}}\int {\frac {\rho (r')d\tau }{|r-r'|}}={\frac {1}{4\pi \epsilon _{0}}}\int {\frac {\rho (r')r'^{n}}{r^{n+1}}}{\frac {1}{r^{n+1}}}P_{n}\cos(\alpha )d\tau
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MathML (2.247 KB / 412 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>ϕ</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>θ</mi><mo>=</mo><mn>0</mn><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ρ</mi><mo stretchy="false">(</mo><msup><mi>r</mi><mo>′</mo></msup><mo stretchy="false">)</mo><mi>d</mi><mi>τ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>|</mo><mi>r</mi><mo>−</mo><msup><mi>r</mi><mo>′</mo></msup><mo>|</mo></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><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"><mi>n</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>+</mo><mn>1</mn></mrow></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>+</mo><mn>1</mn></mrow></mrow></msup></mrow></mfrac></mrow><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mi>cos</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>α</mi><mo stretchy="false">)</mo><mi>d</mi><mi>τ</mi></mstyle></mrow></math>
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