DLMF:19.32.E2 (Q6692): Difference between revisions

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Revision as of 18:10, 30 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:24, 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.m2adec
		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
			Q10901
		Property / Symbols used: Q10901 / rank
			Normal rank
		Property / Symbols used: Q10901 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Im}}$ \imagpart@@
		Property / Symbols used: Q10901 / qualifier
			xml-id: C1.S9.E2.m2adec
		Property / Symbols used
			Q10817
		Property / Symbols used: Q10817 / rank
			Normal rank
		Property / Symbols used: Q10817 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{ph}}}$ \phase
		Property / Symbols used: Q10817 / qualifier
			xml-id: C1.S9.E7.m1adec
		Property / Symbols used
			Q11923
		Property / Symbols used: Q11923 / rank
			Normal rank
		Property / Symbols used: Q11923 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z(p)}}$ z(p)
		Property / Symbols used: Q11923 / qualifier
			xml-id: C19.S32.XMD1.m1adec

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Latest revision as of 14:24, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.32.E2	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{d}z=-\frac{1}{2}\left(\prod_{j=1}^{3}(p-x_{j})^{-1/2}\right)\mathrm{d}p,}}$

0 references

DLMF id

DLMF:19.32.E2

0 references

constraint

${\displaystyle{\displaystyle\Im p>0}}$

0 references

${\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}$

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${\displaystyle{\displaystyle\Im p>0}}$

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${\displaystyle{\displaystyle 0<\operatorname{ph}\left(p-x_{j}\right)<\pi}}$

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${\displaystyle{\displaystyle j=1,2,3}}$

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Symbols used

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2adec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1adec

0 references

Q10901

Defining formula

${\displaystyle{\displaystyle\Im}}$

xml-id

C1.S9.E2.m2adec

0 references

Q10817

Defining formula

${\displaystyle{\displaystyle\operatorname{ph}}}$

xml-id

C1.S9.E7.m1adec

0 references

Q11923

Defining formula

${\displaystyle{\displaystyle z(p)}}$

xml-id

C19.S32.XMD1.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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