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Display information for equation id:math.1672.3 on revision:1672

* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1672.3)

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Hash: c5354a86b562780cd6b72d3cb14bd45d

TeX (original user input):

\begin{align}

& {{x}_{1}}=r\sin \vartheta \cos \phi  \\

& {{x}_{2}}=r\sin \vartheta \sin \phi  \\

& {{x}_{3}}=r\cos \vartheta  \\

& {{x}_{1}}{{\partial }_{2}}-{{x}_{2}}{{\partial }_{1}}=\frac{\partial }{\partial \phi } \\

\end{align}

TeX (checked):

{\begin{aligned}&{{x}_{1}}=r\sin \vartheta \cos \phi \\&{{x}_{2}}=r\sin \vartheta \sin \phi \\&{{x}_{3}}=r\cos \vartheta \\&{{x}_{1}}{{\partial }_{2}}-{{x}_{2}}{{\partial }_{1}}={\frac {\partial }{\partial \phi }}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.554 KB / 352 B) :

x1=rsinϑcosϕx2=rsinϑsinϕx3=rcosϑx12x21=ϕ
<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>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>r</mi><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi><mi>cos</mi><mo>&#x2061;</mo><mi>&#x03D5;</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mi>r</mi><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi><mi>sin</mi><mo>&#x2061;</mo><mi>&#x03D5;</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo>=</mo><mi>r</mi><mi>cos</mi><mo>&#x2061;</mo><mi>&#x03D1;</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>&#x03D5;</mi></mrow></mrow></mfrac></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 Ortsdarstellung des Bahndrehimpulses page

Identifiers

  • x1
  • r
  • ϑ
  • ϕ
  • x2
  • r
  • ϑ
  • ϕ
  • x3
  • r
  • ϑ
  • x1
  • x2
  • ϕ

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