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Display information for equation id:math.1672.25 on revision:1672

* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1672.25)

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Hash: 98a92af0390f1c0a16efa6f27c2bb5bb

TeX (original user input):

\int\limits_{0}^{2\pi }{d\phi \int\limits_{0}^{\pi }{d\vartheta \sin \vartheta }}{{\left[ {{Y}_{l}}^{m}(\vartheta ,\phi ) \right]}^{*}}{{Y}_{l}}^{m}(\vartheta ,\phi )=1

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MathML (12.489 KB / 1.791 KB) :

0 2 π 𝑑 ϕ 0 π 𝑑 ϑ sin ϑ [ Y l m ( ϑ , ϕ ) ] * Y l m ( ϑ , ϕ ) = 1 superscript subscript 0 2 𝜋 differential-d italic-ϕ superscript subscript 0 𝜋 differential-d italic-ϑ italic-ϑ superscript delimited-[] superscript subscript 𝑌 𝑙 𝑚 italic-ϑ italic-ϕ superscript subscript 𝑌 𝑙 𝑚 italic-ϑ italic-ϕ 1 {\displaystyle{\displaystyle\int\limits_{0}^{2\pi}{d\phi\int\limits_{0}^{\pi}{% d\vartheta\sin\vartheta}}{{\left[{{Y}_{l}}^{m}(\vartheta,\phi)\right]}^{*}}{{Y% }_{l}}^{m}(\vartheta,\phi)=1}}

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MathML (1.348 KB / 368 B) :

02πdϕ0πdϑsinϑ[Ylm(ϑ,ϕ)]*Ylm(ϑ,ϕ)=1

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