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Display information for equation id:math.1199.150 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.150)
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Hash: 62578875125e5819c94e4f0cb65cecbf
TeX (original user input):
{{E}_{i}}=-\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{\partial }{\partial {{x}_{i}}}\frac{{{p}_{k}}\cdot {{x}_{k}}}{{{r}^{3}}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ \frac{3{{x}_{i}}\cdot {{p}_{k}}\cdot {{x}_{k}}}{r5}-{{\delta }_{ik}}\frac{{{p}_{k}}}{{{r}^{3}}} \right]
TeX (checked):
{{E}_{i}}=-{\frac {1}{4\pi {{\varepsilon }_{0}}}}{\frac {\partial }{\partial {{x}_{i}}}}{\frac {{{p}_{k}}\cdot {{x}_{k}}}{{r}^{3}}}={\frac {1}{4\pi {{\varepsilon }_{0}}}}\left[{\frac {3{{x}_{i}}\cdot {{p}_{k}}\cdot {{x}_{k}}}{r5}}-{{\delta }_{ik}}{\frac {{p}_{k}}{{r}^{3}}}\right]
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MathML (2.422 KB / 396 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>E</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle><mo>=</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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>⋅</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>⋅</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mn>5</mn></mrow></mrow></mfrac></mrow><mo>−</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mrow></math>
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