DLMF:34.3.E5 (Q9720): Difference between revisions

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Revision as of 00:59, 30 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 14:41, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q10755
		Property / Symbols used: Q10755 / rank
			Normal rank
		Property / Symbols used: Q10755 / qualifier
			Defining formula: ${\displaystyle{\displaystyle!}}$ !
		Property / Symbols used: Q10755 / qualifier
			xml-id: introduction.Sx4.p1.t1.r15.m5adec
		Property / Symbols used
			$$\mathit{3j}$$ symbol
		Property / Symbols used: $$\mathit{3j}$$ symbol / rank
			Normal rank
		Property / Symbols used: $$\mathit{3j}$$ symbol / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathit{3j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{m_{1}}}{\NVar{missing}\)\@add@PDF@RDFa@triples\end{document}}}}$ \Wignerthreejsym{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{m_{1}}}{\NVar% {m_{2}}}{\NVar{m_{3}}}
		Property / Symbols used: $$\mathit{3j}$$ symbol / qualifier
			xml-id: C34.S2.E4.m2acdec
		Property / Symbols used
			Q12709
		Property / Symbols used: Q12709 / rank
			Normal rank
		Property / Symbols used: Q12709 / qualifier
			Defining formula: ${\displaystyle{\displaystyle j,j_{r}}}$ j,j_{r}
		Property / Symbols used: Q12709 / qualifier
			xml-id: C34.S1.XMD1.m1ddec
		Property / Symbols used
			sum (locally)
		Property / Symbols used: sum (locally) / rank
			Normal rank
		Property / Symbols used: sum (locally) / qualifier
			Defining formula: ${\displaystyle{\displaystyle J}}$ J
		Property / Symbols used: sum (locally) / qualifier
			xml-id: C34.S3.XMD1.m1adec

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Latest revision as of 14:41, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:34.3.E5	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathit{3j}{j_{1}}{j_{2}}{j_{3}}{0}{0}{0}=\begin{cases}0,&\mbox{$J$ odd},\\ (-1)^{\frac{1}{2}J}\left(\dfrac{(J-2j_{1})!(J-2j_{2})!(J-2j_{3})!}{(J+1)!}\right)^{\frac{1}{2}}\dfrac{(\frac{1}{2}J)!}{(\frac{1}{2}J-j_{1})!(\frac{1}{2}J-j_{2})!(\frac{1}{2}J-j_{3})!},&\mbox{$J$ even}.\end{cases}}}$

0 references

DLMF id

DLMF:34.3.E5

0 references

Symbols used

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5adec

0 references

$$\mathit{3j}$$ symbol

Defining formula

${\displaystyle{\displaystyle\mathit{3j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{m_{1}}}{\NVar{missing}\)\@add@PDF@RDFa@triples\end{document}}}}$

xml-id

C34.S2.E4.m2acdec

0 references

Q12709

Defining formula

${\displaystyle{\displaystyle j,j_{r}}}$

xml-id

C34.S1.XMD1.m1ddec

0 references

sum (locally)

Defining formula

${\displaystyle{\displaystyle J}}$

xml-id

C34.S3.XMD1.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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