DLMF:10.68.E12 (Q3879): Difference between revisions

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Revision as of 15:07, 29 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 14:30, 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
			the ratio of the circumference of a circle to its diameter
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
			Normal rank
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \cpi
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			xml-id: C3.S12.E1.m2aedec
		Property / Symbols used
			modulus of Bessel functions
		Property / Symbols used: modulus of Bessel functions / rank
			Normal rank
		Property / Symbols used: modulus of Bessel functions / qualifier
			Defining formula: ${\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}$ \HankelmodM{\NVar{\nu}}@{\NVar{x}}
		Property / Symbols used: modulus of Bessel functions / qualifier
			xml-id: C10.S18.E1.m2ahdec
		Property / Symbols used
			Q11444
		Property / Symbols used: Q11444 / rank
			Normal rank
		Property / Symbols used: Q11444 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}$ \Hankelphasetheta{\NVar{\nu}}@{\NVar{x}}
		Property / Symbols used: Q11444 / qualifier
			xml-id: C10.S18.E3.m1ahdec
		Property / Symbols used
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2addec
		Property / Symbols used
			Q11427
		Property / Symbols used: Q11427 / rank
			Normal rank
		Property / Symbols used: Q11427 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\nu}}$ \nu
		Property / Symbols used: Q11427 / qualifier
			xml-id: C10.S1.XMD7.m1idec

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Latest revision as of 14:30, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.68.E12	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\theta_{\nu}'=(M_{\nu+1}/M_{\nu})\sin\left(\theta_{\nu+1}-\theta_{\nu}-\tfrac{1}{4}\pi\right)=-(M_{\nu-1}/M_{\nu})\sin\left(\theta_{\nu-1}-\theta_{\nu}-\tfrac{1}{4}\pi\right).}}$

0 references

DLMF id

DLMF:10.68.E12

0 references

Symbols used

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2aedec

0 references

modulus of Bessel functions

Defining formula

${\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C10.S18.E1.m2ahdec

0 references

Q11444

Defining formula

${\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}$

xml-id

C10.S18.E3.m1ahdec

0 references

sine function

Defining formula

${\displaystyle{\displaystyle\sin\NVar{z}}}$

xml-id

C4.S14.E1.m2addec

0 references

Q11427

Defining formula

${\displaystyle{\displaystyle\nu}}$

xml-id

C10.S1.XMD7.m1idec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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