Jump to navigation Jump to search

General

Display information for equation id:math.2132.17 on revision:2132

* Page found: Multipolstrahlung (eq math.2132.17)

(force rerendering)

Occurrences on the following pages:

Hash: 9eecb333f2ec36d598214ccd58651f44

TeX (original user input):

\begin{align}
& \int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }{{\nabla }_{r\acute{\ }}}\left( {{x}_{k}}\acute{\ }\bar{j}\left( \bar{r}\acute{\ },\tau  \right) \right)=0=\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\left( {{j}_{k}}-{{x}_{k}}\acute{\ }\dot{\rho }\left( \bar{r}\acute{\ },\tau  \right) \right) \\
& \Rightarrow \int_{{}}^{{}}{{{d}^{3}}r\acute{\ }\bar{j}\left( \bar{r}\acute{\ },\tau  \right)=\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{r}\acute{\ }\dot{\rho }\left( \bar{r}\acute{\ },\tau  \right)=:\dot{\bar{p}}\left( \tau  \right)} \\
\end{align}

TeX (checked):

{\begin{aligned}&\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{{\nabla }_{r{\acute {\ }}}}\left({{x}_{k}}{\acute {\ }}{\bar {j}}\left({\bar {r}}{\acute {\ }},\tau \right)\right)=0=\int _{}^{}{}{{d}^{3}}r{\acute {\ }}\left({{j}_{k}}-{{x}_{k}}{\acute {\ }}{\dot {\rho }}\left({\bar {r}}{\acute {\ }},\tau \right)\right)\\&\Rightarrow \int _{}^{}{{{d}^{3}}r{\acute {\ }}{\bar {j}}\left({\bar {r}}{\acute {\ }},\tau \right)=\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {r}}{\acute {\ }}{\dot {\rho }}\left({\bar {r}}{\acute {\ }},\tau \right)=:{\dot {\bar {p}}}\left(\tau \right)}\\\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 (3.934 KB / 531 B) :

d3r ´r ´(xk ´j¯(r¯ ´,τ))=0=d3r ´(jkxk ´ρ˙(r¯ ´,τ))d3r ´j¯(r¯ ´,τ)=d3r ´r¯ ´ρ˙(r¯ ´,τ)=:p¯˙(τ)
<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"><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"></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><msub><mi mathvariant="normal"></mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mover><mi>j</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo>,</mo><mi>τ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">=</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"></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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false"></mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mover><mi>ρ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo>,</mo><mi>τ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><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>j</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo>,</mo><mi>τ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"></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><mover><mi>ρ</mi><mo>˙</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo>,</mo><mi>τ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mo stretchy="false">:</mo><mover><mover><mi>p</mi><mo>¯</mo></mover><mo>˙</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>τ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></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 Multipolstrahlung page

Identifiers

  • r
  •  ´
  • r
  •  ´
  • xk
  •  ´
  • j¯
  • r¯
  •  ´
  • τ
  • r
  •  ´
  • jk
  • xk
  •  ´
  • ρ˙
  • r¯
  •  ´
  • τ
  • r
  •  ´
  • j¯
  • r¯
  •  ´
  • τ
  • r
  •  ´
  • r¯
  •  ´
  • ρ˙
  • r¯
  •  ´
  • τ
  • p¯˙
  • τ

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results