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Display information for equation id:math.2156.25 on revision:2156

* Page found: Mikroskopisches Modell der Polarisierbarkeit (eq math.2156.25)

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Occurrences on the following pages:

Hash: 3b7e9cecd4af620f2d7420a03f94855e

TeX (original user input):

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

TeX (checked):

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

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MathML (experimentell; keine Bilder) rendering

MathML (1.803 KB / 408 B) :

E¯0(r¯)=Q4πε0{r¯a3rar¯r3ra
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></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"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></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

  • E¯0
  • r¯
  • Q
  • π
  • ε0
  • r¯
  • a
  • r
  • a
  • r¯
  • r
  • r
  • a

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