Difference between revisions of "DLMF:7.5.E4 (Q2350)"

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Revision as of 11:19, 29 December 2019 Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)		Latest revision as of 23:38, 1 January 2020 Admin (talk | contribs) (‎Changed an Item: Add constraint)
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		Property / Symbols used
		+	auxiliary function for Fresnel integrals
		Property / Symbols used: auxiliary function for Fresnel integrals / rank
		+	Normal rank
		Property / Symbols used: auxiliary function for Fresnel integrals / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}$ \auxFresnelf@{\NVar{z}}
		Property / Symbols used: auxiliary function for Fresnel integrals / qualifier
		+	xml-id: C7.S2.E10.m2aadec
		Property / Symbols used
		+	auxiliary function for Fresnel integrals
		Property / Symbols used: auxiliary function for Fresnel integrals / rank
		+	Normal rank
		Property / Symbols used: auxiliary function for Fresnel integrals / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}$ \auxFresnelg@{\NVar{z}}
		Property / Symbols used: auxiliary function for Fresnel integrals / qualifier
		+	xml-id: C7.S2.E11.m2aadec
		Property / Symbols used
		+	Fresnel integral
		Property / Symbols used: Fresnel integral / rank
		+	Normal rank
		Property / Symbols used: Fresnel integral / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle S\left(\NVar{z}\right)}}$ \Fresnelsinint@{\NVar{z}}
		Property / Symbols used: Fresnel integral / qualifier
		+	xml-id: C7.S2.E8.m2aadec
		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.m2abdec
		Property / Symbols used
		+	cosine function
		Property / Symbols used: cosine function / rank
		+	Normal rank
		Property / Symbols used: cosine function / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\cos\NVar{z}}}$ \cos@@{\NVar{z}}
		Property / Symbols used: cosine function / qualifier
		+	xml-id: C4.S14.E2.m2aadec
		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
		+	Q11312
		Property / Symbols used: Q11312 / rank
		+	Normal rank
		Property / Symbols used: Q11312 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11312 / qualifier
		+	xml-id: C7.S1.XMD2.m1cdec

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Latest revision as of 23:38, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:7.5.E4	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle S\left(z\right)=\tfrac{1}{2}-\mathrm{f}\left(z\right)\cos\left(\tfrac{1}{2}\pi z^{2}\right)-\mathrm{g}\left(z\right)\sin\left(\tfrac{1}{2}\pi z^{2}\right).}}$

0 references

DLMF id

DLMF:7.5.E4

0 references

Symbols used

auxiliary function for Fresnel integrals

Defining formula

${\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}$

xml-id

C7.S2.E10.m2aadec

0 references

auxiliary function for Fresnel integrals

Defining formula

${\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}$

xml-id

C7.S2.E11.m2aadec

0 references

Fresnel integral

Defining formula

${\displaystyle{\displaystyle S\left(\NVar{z}\right)}}$

xml-id

C7.S2.E8.m2aadec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2abdec

0 references

cosine function

Defining formula

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

xml-id

C4.S14.E2.m2aadec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2aadec

0 references

Q11312

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C7.S1.XMD2.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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