DLMF:4.23.E35 (Q1787): Difference between revisions

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Revision as of 18:35, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 18:35, 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
			Q11245
		Property / Symbols used: Q11245 / rank
			Normal rank
		Property / Symbols used: Q11245 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\notin}}$ \notin
		Property / Symbols used: Q11245 / qualifier
			xml-id: introduction.Sx4.p1.t1.r11.m2aadec
		Property / Symbols used
			Q10777
		Property / Symbols used: Q10777 / rank
			Normal rank
		Property / Symbols used: Q10777 / qualifier
			Defining formula: ${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$ (\NVar{a},\NVar{b})
		Property / Symbols used: Q10777 / qualifier
			xml-id: introduction.Sx4.p1.t1.r29.m6aedec
		Property / Symbols used
			Q10897
		Property / Symbols used: Q10897 / rank
			Normal rank
		Property / Symbols used: Q10897 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}$ \sign@@{\NVar{x}}
		Property / Symbols used: Q10897 / qualifier
			xml-id: introduction.Sx4.p2.t1.r18.m6aadec
		Property / Symbols used
			Q11218
		Property / Symbols used: Q11218 / rank
			Normal rank
		Property / Symbols used: Q11218 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11218 / qualifier
			xml-id: C4.S1.XMD6.m1edec
		Property / Symbols used
			Q11222
		Property / Symbols used: Q11222 / rank
			Normal rank
		Property / Symbols used: Q11222 / qualifier
			Defining formula: ${\displaystyle{\displaystyle y}}$ y
		Property / Symbols used: Q11222 / qualifier
			xml-id: C4.S1.XMD7.m1bdec
		Property / Symbols used
			Q11217
		Property / Symbols used: Q11217 / rank
			Normal rank
		Property / Symbols used: Q11217 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11217 / qualifier
			xml-id: C4.S1.XMD8.m1addec
		Property / Symbols used
			DLMF:4.23.E37
		Property / Symbols used: DLMF:4.23.E37 / rank
			Normal rank
		Property / Symbols used: DLMF:4.23.E37 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\alpha}}$ \alpha
		Property / Symbols used: DLMF:4.23.E37 / qualifier
			xml-id: C4.S23.XMD2.m1adec
		Property / Symbols used
			DLMF:4.23.E38
		Property / Symbols used: DLMF:4.23.E38 / rank
			Normal rank
		Property / Symbols used: DLMF:4.23.E38 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\beta}}$ \beta
		Property / Symbols used: DLMF:4.23.E38 / qualifier
			xml-id: C4.S23.XMD3.m1adec

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Latest revision as of 18:35, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:4.23.E35	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{arccos}z=\operatorname{arccos}\beta-\mathrm{i}\operatorname{sign}\left(y\right)\ln\left(\alpha+(\alpha^{2}-1)^{1/2}\right),}}$

0 references

DLMF id

DLMF:4.23.E35

0 references

Symbols used

Q10815

Defining formula

${\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}}$

xml-id

introduction.Sx4.p1.t1.r30.m6aadec

0 references

Q10784

Defining formula

${\displaystyle{\displaystyle\in}}$

xml-id

introduction.Sx4.p1.t1.r10.m2ajdec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2aodec

0 references

Q11208

Defining formula

${\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}$

xml-id

C4.S23.SS2.p1.m6aidec

0 references

principal branch of logarithm function

Defining formula

${\displaystyle{\displaystyle\ln\NVar{z}}}$

xml-id

C4.S2.E2.m2ajdec

0 references

Q11245

Defining formula

${\displaystyle{\displaystyle\notin}}$

xml-id

introduction.Sx4.p1.t1.r11.m2aadec

0 references

Q10777

Defining formula

${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$

xml-id

introduction.Sx4.p1.t1.r29.m6aedec

0 references

Q10897

Defining formula

${\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}$

xml-id

introduction.Sx4.p2.t1.r18.m6aadec

0 references

Q11218

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C4.S1.XMD6.m1edec

0 references

Q11222

Defining formula

${\displaystyle{\displaystyle y}}$

xml-id

C4.S1.XMD7.m1bdec

0 references

Q11217

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C4.S1.XMD8.m1addec

0 references

DLMF:4.23.E37

Defining formula

${\displaystyle{\displaystyle\alpha}}$

xml-id

C4.S23.XMD2.m1adec

0 references

DLMF:4.23.E38

Defining formula

${\displaystyle{\displaystyle\beta}}$

xml-id

C4.S23.XMD3.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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