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Display information for equation id:math.1199.377 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.377)

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Hash: 0879c9e1de5d39f7a3f621334d32ba74

TeX (original user input):

\begin{align}
& \rho (\bar{r})=\sum\limits_{i}{{}}{{q}_{i}}\delta \left( \bar{r}-{{{\bar{r}}}_{i}} \right) \\
& \bar{j}(\bar{r})=\sum\limits_{i}{{}}{{q}_{i}}{{{\bar{v}}}_{i}}\delta \left( \bar{r}-{{{\bar{r}}}_{i}} \right) \\
& {{{\bar{v}}}_{i}}=\frac{d{{{\bar{r}}}_{i}}}{dt} \\
\end{align}

TeX (checked):

{\begin{aligned}&\rho ({\bar {r}})=\sum \limits _{i}{}{{q}_{i}}\delta \left({\bar {r}}-{{\bar {r}}_{i}}\right)\\&{\bar {j}}({\bar {r}})=\sum \limits _{i}{}{{q}_{i}}{{\bar {v}}_{i}}\delta \left({\bar {r}}-{{\bar {r}}_{i}}\right)\\&{{\bar {v}}_{i}}={\frac {d{{\bar {r}}_{i}}}{dt}}\\\end{aligned}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.885 KB / 448 B) :

ρ(r¯)=iqiδ(r¯r¯i)j¯(r¯)=iqiv¯iδ(r¯r¯i)v¯i=dr¯idt
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>&#x03C1;</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>&#x03B4;</mi><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>&#x2212;</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 data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>&#x03B4;</mi><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>&#x2212;</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 data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><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></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektrodynamik Schöll page

Identifiers

  • ρ
  • r¯
  • i
  • qi
  • δ
  • r¯
  • r¯i
  • j¯
  • r¯
  • i
  • qi
  • v¯i
  • δ
  • r¯
  • r¯i
  • v¯i
  • d
  • r¯i
  • d
  • t

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