DLMF:24.8.E4 (Q7491): Difference between revisions

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Revision as of 01:36, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:37, 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.m2acdec
		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.m5acdec
		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.m2aadec
		Property / Symbols used
			Q12113
		Property / Symbols used: Q12113 / rank
			Normal rank
		Property / Symbols used: Q12113 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q12113 / qualifier
			xml-id: C24.S1.XMD2.m1cdec
		Property / Symbols used
			Q12110
		Property / Symbols used: Q12110 / rank
			Normal rank
		Property / Symbols used: Q12110 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q12110 / qualifier
			xml-id: C24.S1.XMD5.m1cdec
		Property / Symbols used
			Q12112
		Property / Symbols used: Q12112 / rank
			Normal rank
		Property / Symbols used: Q12112 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q12112 / qualifier
			xml-id: C24.S1.XMD7.m1cdec

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Latest revision as of 01:37, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:24.8.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle E_{2n}\left(x\right)=(-1)^{n}\frac{4(2n)!}{\pi^{2n+1}}\sum_{k=0}^{\infty}\frac{\sin\left((2k+1)\pi x\right)}{(2k+1)^{2n+1}},}}$

0 references

DLMF id

DLMF:24.8.E4

0 references

Symbols used

Q12114

Defining formula

${\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}$

xml-id

C24.S2.SS2.m2adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2acdec

0 references

Q10755

Defining formula

${\displaystyle{\displaystyle!}}$

xml-id

introduction.Sx4.p1.t1.r15.m5acdec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2aadec

0 references

Q12113

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C24.S1.XMD2.m1cdec

0 references

Q12110

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C24.S1.XMD5.m1cdec

0 references

Q12112

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C24.S1.XMD7.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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