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Display information for equation id:math.1788.20 on revision:1788

* Page found: Bornsche Näherung (eq math.1788.20)

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Hash: 360abe7d1a1523f25acb5c95fbca4332

TeX (original user input):

\frac{d\sigma }{d\Omega }={{\left( \frac{{{Z}_{1}}{{Z}_{2}}{{e}^{2}}}{8\pi {{\varepsilon }_{0}}m{{v}^{2}}} \right)}^{2}}\frac{1}{{{\sin }^{4}}\left( \frac{\vartheta }{2} \right)}

TeX (checked):

{\frac {d\sigma }{d\Omega }}={{\left({\frac {{{Z}_{1}}{{Z}_{2}}{{e}^{2}}}{8\pi {{\varepsilon }_{0}}m{{v}^{2}}}}\right)}^{2}}{\frac {1}{{{\sin }^{4}}\left({\frac {\vartheta }{2}}\right)}}

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MathML (1.688 KB / 361 B) :

dσdΩ=(Z1Z2e28πε0mv2)21sin4(ϑ2)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>&#x03C3;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi mathvariant="normal">&#x03A9;</mi></mrow></mrow></mfrac></mrow><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>8</mn><mi>&#x03C0;</mi><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>m</mi><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><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"><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03D1;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></mfrac></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Bornsche Näherung page

Identifiers

  • d
  • σ
  • d
  • Ω
  • Z1
  • Z2
  • e
  • π
  • ε0
  • m
  • v
  • ϑ

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