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Display information for equation id:math.2156.26 on revision:2156

* Page found: Mikroskopisches Modell der Polarisierbarkeit (eq math.2156.26)

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Hash: 740496c3c320bac172b66e57de38a299

TeX (original user input):

{{\Phi }_{0}}\left( {\bar{r}} \right)=\frac{Q}{4\pi {{\varepsilon }_{0}}}\left\{ \begin{matrix}
c-\frac{{{{\bar{r}}}^{2}}}{2{{a}^{3}}}r\le a  \\
\frac{1}{r}r\ge a  \\
\end{matrix} \right.

TeX (checked):

{{\Phi }_{0}}\left({\bar {r}}\right)={\frac {Q}{4\pi {{\varepsilon }_{0}}}}\left\{{\begin{matrix}c-{\frac {{\bar {r}}^{2}}{2{{a}^{3}}}}r\leq a\\{\frac {1}{r}}r\geq a\\\end{matrix}}\right.

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MathML (experimentell; keine Bilder) rendering

MathML (1.707 KB / 451 B) :

Φ0(r¯)=Q4πε0{cr¯22a3ra1rra
<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 mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><msub><mi>&#x03B5;</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"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>c</mi><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><mi>r</mi><mo>&#x2264;</mo><mi>a</mi></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mi>r</mi><mo>&#x2265;</mo><mi>a</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mrow></math>

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Calculated based on the variables occurring on the entire Mikroskopisches Modell der Polarisierbarkeit page

Identifiers

  • Φ0
  • r¯
  • Q
  • π
  • ε0
  • c
  • r¯
  • a
  • r
  • a
  • r
  • r
  • a

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