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Display information for equation id:math.1199.137 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.137)

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Occurrences on the following pages:

Hash: f5e2da88cb3851503ba46f7d5de2b81e

TeX (original user input):

\begin{align}
& {{P}_{0}}(\xi )=1 \\
& {{P}_{1}}(\xi )=\xi =\cos \vartheta  \\
& {{P}_{2}}(\xi )=\frac{1}{2}\left( 3{{\xi }^{2}}-1 \right)==\frac{1}{4}\left( 3{{\cos }^{2}}\vartheta +1 \right) \\
\end{align}

TeX (checked):

{\begin{aligned}&{{P}_{0}}(\xi )=1\\&{{P}_{1}}(\xi )=\xi =\cos \vartheta \\&{{P}_{2}}(\xi )={\frac {1}{2}}\left(3{{\xi }^{2}}-1\right)=={\frac {1}{4}}\left(3{{\cos }^{2}}\vartheta +1\right)\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.781 KB / 407 B) :

P0(ξ)=1P1(ξ)=ξ=cosϑP2(ξ)=12(3ξ21)==14(3cos2ϑ+1)
<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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mi>&#x03BE;</mi><mo stretchy="false">)</mo><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mi>&#x03BE;</mi><mo stretchy="false">)</mo><mo>=</mo><mi>&#x03BE;</mi><mo>=</mo><mi>cos</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mi>&#x03BE;</mi><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>3</mn><msup><mi>&#x03BE;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>3</mn><msup><mi>cos</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>&#x03D1;</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektrodynamik Schöll page

Identifiers

  • P0
  • ξ
  • P1
  • ξ
  • ξ
  • ϑ
  • P2
  • ξ
  • ξ
  • ϑ

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