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Display information for equation id:math.1432.80 on revision:1432

* Page found: Stationäre Ströme und Magnetfeld (eq math.1432.80)

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Hash: c183a93c46dfdcf001ecc288043d3ec4

TeX (original user input):

\begin{align}
& \Phi (\bar{r}):=\frac{1}{4\pi {{\varepsilon }_{0}}{{r}^{3}}}\bar{p}\cdot \bar{r} \\
& \bar{p}:=\int_{{{R}^{3}}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{r}\acute{\ }\rho (\bar{r}\acute{\ }) \\
\end{align}

TeX (checked):

{\begin{aligned}&\Phi ({\bar {r}}):={\frac {1}{4\pi {{\varepsilon }_{0}}{{r}^{3}}}}{\bar {p}}\cdot {\bar {r}}\\&{\bar {p}}:=\int _{{R}^{3}}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {r}}{\acute {\ }}\rho ({\bar {r}}{\acute {\ }})\\\end{aligned}}

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MathML (1.7 KB / 430 B) :

Φ(r¯):=14πε0r3p¯r¯p¯:=R3d3r ´r¯ ´ρ(r¯ ´)
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>Φ</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false">:=</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><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><mover><mi>p</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>p</mi><mo>¯</mo></mover><mo stretchy="false">:=</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mi>ρ</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Stationäre Ströme und Magnetfeld page

Identifiers

  • Φ
  • r¯
  • π
  • ε0
  • r
  • p¯
  • r¯
  • p¯
  • R
  • r
  •  ´
  • r¯
  •  ´
  • ρ
  • r¯
  •  ´

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