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Display information for equation id:math.1672.16 on revision:1672
* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1672.16)
(force rerendering)Occurrences on the following pages:
Hash: d038e8e41766996b210ca522e9e5937b
TeX (original user input):
{{f}_{ll}}(r,\vartheta )={{\left( -1 \right)}^{l}}\sqrt{\frac{\left( 2l+1 \right)!}{2}}\frac{1}{{{2}^{l}}l!}{{\left( \sin \vartheta \right)}^{l}}{{R}_{ll}}(r)
TeX (checked):
{{f}_{ll}}(r,\vartheta )={{\left(-1\right)}^{l}}{\sqrt {\frac {\left(2l+1\right)!}{2}}}{\frac {1}{{{2}^{l}}l!}}{{\left(\sin \vartheta \right)}^{l}}{{R}_{ll}}(r)
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (1.593 KB / 378 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>l</mi></mrow></mrow></msub></mstyle><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>ϑ</mi><mo stretchy="false">)</mo><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msup><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>2</mn><mi>l</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>!</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></msqrt></mrow><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><mn>2</mn><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msup><mi>l</mi><mi>!</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msup><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mrow></math>
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