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Display information for equation id:math.1446.112 on revision:1446

* Page found: Relativistische Formulierung der Elektrodynamik (eq math.1446.112)

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Hash: 47006403fbc8f3f6d648cc49291ac920

TeX (original user input):

\delta W=\int_{1}^{2}{{}}\left\{ {{m}_{0}}c\frac{d{{u}^{\mu }}}{ds}-\left( {{\partial }^{\mu }}{{\phi }^{\nu }}-{{\partial }^{\nu }}{{\phi }^{\mu }} \right){{u}_{\nu }} \right\}\delta {{x}_{\mu }}

TeX (checked):

\delta W=\int _{1}^{2}{}\left\{{{m}_{0}}c{\frac {d{{u}^{\mu }}}{ds}}-\left({{\partial }^{\mu }}{{\phi }^{\nu }}-{{\partial }^{\nu }}{{\phi }^{\mu }}\right){{u}_{\nu }}\right\}\delta {{x}_{\mu }}

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MathML (experimentell; keine Bilder) rendering

MathML (1.522 KB / 383 B) :

δW=12{m0cduμds(μϕννϕμ)uν}δxμ
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03B4;</mi><mi>W</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></munderover></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>s</mi></mrow></mrow></mfrac></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><msup><mi>&#x03D5;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><mo>&#x2212;</mo><msup><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><msup><mi>&#x03D5;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><mo data-mjx-texclass="CLOSE">}</mo></mrow><mi>&#x03B4;</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Relativistische Formulierung der Elektrodynamik page

Identifiers

  • δ
  • W
  • m0
  • c
  • u
  • μ
  • d
  • s
  • μ
  • ϕ
  • ν
  • ν
  • ϕ
  • μ
  • uν
  • δ
  • xμ

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