Jump to navigation Jump to search

General

Display information for equation id:math.1432.19 on revision:1432

* Page found: Stationäre Ströme und Magnetfeld (eq math.1432.19)

(force rerendering)

Occurrences on the following pages:

Hash: 770f48ba6968fd60f88dff219ba4aefb

TeX (original user input):

\begin{align}
& \bar{j}(\bar{r}\acute{\ }){{d}^{3}}r\acute{\ }=\rho {{d}^{3}}r\acute{\ }\bar{v}\acute{\ }=\frac{d}{dt}\rho {{d}^{3}}r\acute{\ }d\bar{r}\acute{\ } \\
& \frac{d}{dt}\rho {{d}^{3}}r\acute{\ }=I\acute{\ } \\
& \Rightarrow \bar{j}(\bar{r}\acute{\ }){{d}^{3}}r\acute{\ }=I\acute{\ }d\bar{r}\acute{\ } \\
\end{align}

TeX (checked):

{\begin{aligned}&{\bar {j}}({\bar {r}}{\acute {\ }}){{d}^{3}}r{\acute {\ }}=\rho {{d}^{3}}r{\acute {\ }}{\bar {v}}{\acute {\ }}={\frac {d}{dt}}\rho {{d}^{3}}r{\acute {\ }}d{\bar {r}}{\acute {\ }}\\&{\frac {d}{dt}}\rho {{d}^{3}}r{\acute {\ }}=I{\acute {\ }}\\&\Rightarrow {\bar {j}}({\bar {r}}{\acute {\ }}){{d}^{3}}r{\acute {\ }}=I{\acute {\ }}d{\bar {r}}{\acute {\ }}\\\end{aligned}}

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (2.771 KB / 403 B) :

j¯(r¯ ´)d3r ´=ρd3r ´v¯ ´=ddtρd3r ´dr¯ ´ddtρd3r ´=I ´j¯(r¯ ´)d3r ´=I ´dr¯ ´
<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"><mover><mi>j</mi><mo>¯</mo></mover><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><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><mo stretchy="false">=</mo><mi>ρ</mi><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>v</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>ρ</mi><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><mi>d</mi><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>ρ</mi><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><mo stretchy="false">=</mo><mi>I</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><mover><mi>j</mi><mo>¯</mo></mover><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><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><mo stretchy="false">=</mo><mi>I</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mi>d</mi><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

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

Identifiers

  • j¯
  • r¯
  •  ´
  • d
  • r
  •  ´
  • ρ
  • d
  • r
  •  ´
  • v¯
  •  ´
  • d
  • d
  • t
  • ρ
  • d
  • r
  •  ´
  • d
  • r¯
  •  ´
  • d
  • d
  • t
  • ρ
  • d
  • r
  •  ´
  • I
  •  ´
  • j¯
  • r¯
  •  ´
  • d
  • r
  •  ´
  • I
  •  ´
  • d
  • r¯
  •  ´

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results