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Display information for equation id:math.1672.3 on revision:1672
* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1672.3)
(force rerendering)Occurrences on the following pages:
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}}
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MathML (1.554 KB / 352 B) :

<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>⁡</mo><mi>ϑ</mi><mi>cos</mi><mo>⁡</mo><mi>ϕ</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>⁡</mo><mi>ϑ</mi><mi>sin</mi><mo>⁡</mo><mi>ϕ</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>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>−</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>∂</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>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ϕ</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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