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Display information for equation id:math.1784.9 on revision:1784

* Page found: Bornsche Näherung (eq math.1784.9)

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Occurrences on the following pages:

Hash: 4352f63d1e8cc12ef2341d68d163e155

TeX (original user input):

K=\left| \bar{k}-\bar{k}{{{\bar{e}}}_{r}} \right|=\sqrt{{{k}^{2}}+{{k}^{2}}-2{{k}^{2}}\cos \vartheta }=2k\sin {}^{\vartheta }\!\!\diagup\!\!{}_{2}\;

TeX (checked):

K=\left|{\bar {k}}-{\bar {k}}{{\bar {e}}_{r}}\right|={\sqrt {{{k}^{2}}+{{k}^{2}}-2{{k}^{2}}\cos \vartheta }}=2k\sin {}^{\vartheta }\!\!\diagup \!\!{}_{2}\;

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MathML (1.473 KB / 382 B) :

K=|k¯k¯e¯r|=k2+k22k2cosϑ=2ksinϑ2
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>K</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>e</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>2</mn><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>cos</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi></mrow></msqrt></mrow><mo>=</mo><mn>2</mn><mi>k</mi><mi>sin</mi><mo>&#x2061;</mo><msup><mi/><mrow data-mjx-texclass="ORD"><mi>&#x03D1;</mi></mrow></msup><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><mi>&#x2571;</mi><mspace width="-0.167em"></mspace><mspace width="-0.167em"></mspace><msub><mrow data-mjx-texclass="ORD"/><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mspace width="0.278em"></mspace></mstyle></mrow></math>

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

Identifiers

  • K
  • k¯
  • k¯
  • e¯r
  • k
  • k
  • k
  • ϑ
  • k
  • ϑ

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