DLMF:1.15.E40 (Q582): Difference between revisions

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Revision as of 12:20, 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 16:32, 1 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.m2aidec
		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.m1aodec
		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
			imaginary unit
		Property / Symbols used: imaginary unit / rank
			Normal rank
		Property / Symbols used: imaginary unit / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
			xml-id: C1.S9.E1.m2ajdec
		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.m3aodec
		Property / Symbols used
			Q10900
		Property / Symbols used: Q10900 / rank
			Normal rank
		Property / Symbols used: Q10900 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\Phi(z)}}$ \Phi(z)
		Property / Symbols used: Q10900 / qualifier
			xml-id: C1.S15.XMD9.m1adec

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Latest revision as of 16:32, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:1.15.E40	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\Im\Phi(x+iy)=\frac{1}{\pi}\int^{\infty}_{-\infty}f(t)\frac{x-t}{(x-t)^{2}+y^{2}}\mathrm{d}t}}$

0 references

DLMF id

DLMF:1.15.E40

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.m2aidec

0 references

Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aodec

0 references

Q10901

Defining formula

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

xml-id

C1.S9.E2.m2adec

0 references

imaginary unit

Defining formula

${\displaystyle{\displaystyle\mathrm{i}}}$

xml-id

C1.S9.E1.m2ajdec

0 references

Q10771

Defining formula

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

xml-id

C1.S4.SS4.m3aodec

0 references

Q10900

Defining formula

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

xml-id

C1.S15.XMD9.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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