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Display information for equation id:math.2132.51 on revision:2132

* Page found: Multipolstrahlung (eq math.2132.51)

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Hash: 86c0263f158e4bc1a07247edea5f0d86

TeX (original user input):

{{\nabla }_{r\acute{\ }}}\cdot \left[ {{x}_{k}}\acute{\ }\bar{j}(\bar{r}\acute{\ }) \right]=\bar{j}(\bar{r}\acute{\ })\cdot \left( {{\nabla }_{r\acute{\ }}}{{x}_{k}}\acute{\ } \right)={{j}_{l}}{{\delta }_{kl}}={{j}_{k}}

TeX (checked):

{{\nabla }_{r{\acute {\ }}}}\cdot \left[{{x}_{k}}{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\right]={\bar {j}}({\bar {r}}{\acute {\ }})\cdot \left({{\nabla }_{r{\acute {\ }}}}{{x}_{k}}{\acute {\ }}\right)={{j}_{l}}{{\delta }_{kl}}={{j}_{k}}

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MathML (1.875 KB / 401 B) :

r ´[xk ´j¯(r¯ ´)]=j¯(r¯ ´)(r ´xk ´)=jlδkl=jk
<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"><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><mo stretchy="false"></mo><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><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><mo data-mjx-texclass="CLOSE">]</mo></mrow><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><mo stretchy="false"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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><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><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Multipolstrahlung page

Identifiers

  • r
  •  ´
  • xk
  •  ´
  • j¯
  • r¯
  •  ´
  • j¯
  • r¯
  •  ´
  • r
  •  ´
  • xk
  •  ´
  • jl
  • δkl
  • jk

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