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Display information for equation id:math.1199.167 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.167)
(force rerendering)Occurrences on the following pages:
Hash: d70f4613a828d7d5d8199240f1b0ea11
TeX (original user input):
W=\frac{1}{2}\sum\limits_{\begin{smallmatrix}
i,j \\
i\ne j
\end{smallmatrix}}^{{}}{{}}{{W}_{ij}}=\frac{1}{8\pi {{\varepsilon }_{0}}}\sum\limits_{\begin{smallmatrix}
i,j \\
i\ne j
\end{smallmatrix}}^{{}}{{}}\frac{{{q}_{i}}{{q}_{j}}}{|{{{\bar{r}}}_{i}}-{{{\bar{r}}}_{j}}|}={{W}_{ji}}
TeX (checked):
W={\frac {1}{2}}\sum \limits _{\begin{smallmatrix}i,j\\i\neq j\end{smallmatrix}}^{}{}{{W}_{ij}}={\frac {1}{8\pi {{\varepsilon }_{0}}}}\sum \limits _{\begin{smallmatrix}i,j\\i\neq j\end{smallmatrix}}^{}{}{\frac {{{q}_{i}}{{q}_{j}}}{|{{\bar {r}}_{i}}-{{\bar {r}}_{j}}|}}={{W}_{ji}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
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MathML (experimentell; keine Bilder) rendering
MathML (2.29 KB / 448 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>W</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><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>i</mi><mo>,</mo><mi>j</mi></mtd></mtr><mtr><mtd><mi>i</mi><mo>≠</mo><mi>j</mi></mtd></mtr></mtable></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><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>8</mn><mi>π</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>i</mi><mo>,</mo><mi>j</mi></mtd></mtr><mtr><mtd><mi>i</mi><mo>≠</mo><mi>j</mi></mtd></mtr></mtable></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>|</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>−</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>|</mo></mrow></mrow></mfrac></mrow><mo>=</mo><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mi>i</mi></mrow></mrow></msub></mstyle></mrow></math>
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