DLMF:19.8.E4 (Q6210): Difference between revisions

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Revision as of 13:42, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 13:42, 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
			Q10770
		Property / Symbols used: Q10770 / rank
			Normal rank
		Property / Symbols used: Q10770 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ \diff{\NVar{x}}
		Property / Symbols used: Q10770 / qualifier
			xml-id: C1.S4.SS4.m1adec
		Property / Symbols used
			Q10771
		Property / Symbols used: Q10771 / rank
			Normal rank
		Property / Symbols used: Q10771 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\int}}$ \int
		Property / Symbols used: Q10771 / qualifier
			xml-id: C1.S4.SS4.m3adec
		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.m2adec
		Property / Symbols used
			Q11824
		Property / Symbols used: Q11824 / rank
			Normal rank
		Property / Symbols used: Q11824 / qualifier
			Defining formula: ${\displaystyle{\displaystyle a_{n}}}$ a_{n}
		Property / Symbols used: Q11824 / qualifier
			xml-id: C19.S8.XMD1.m1cdec
		Property / Symbols used
			Q11825
		Property / Symbols used: Q11825 / rank
			Normal rank
		Property / Symbols used: Q11825 / qualifier
			Defining formula: ${\displaystyle{\displaystyle g_{n}}}$ g_{n}
		Property / Symbols used: Q11825 / qualifier
			xml-id: C19.S8.XMD2.m1cdec

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Latest revision as of 13:42, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.8.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{1}{M\left(a_{0},g_{0}\right)}=\frac{2}{\pi}\int_{0}^{\pi/2}\frac{\mathrm{d}\theta}{\sqrt{a_{0}^{2}{\cos^{2}}\theta+g_{0}^{2}{\sin^{2}}\theta}}=\frac{1}{\pi}\int_{0}^{\infty}\frac{\mathrm{d}t}{\sqrt{t(t+a_{0}^{2})(t+g_{0}^{2})}}.}}$

0 references

DLMF id

DLMF:19.8.E4

0 references

Symbols used

Q11826

Defining formula

${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{g}\right)}}$

xml-id

C19.S8.SS1.p1.m7adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2adec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2adec

0 references

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1adec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3adec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2adec

0 references

Q11824

Defining formula

${\displaystyle{\displaystyle a_{n}}}$

xml-id

C19.S8.XMD1.m1cdec

0 references

Q11825

Defining formula

${\displaystyle{\displaystyle g_{n}}}$

xml-id

C19.S8.XMD2.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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