DLMF:4.23.E34 (Q1786): 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
			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.m1dec
		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.m1dec

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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.E34	No description defined

Statements

Defining formula

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

0 references

DLMF id

DLMF:4.23.E34

0 references

Symbols used

Q10815

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r30.m6adec

0 references

Q10784

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r10.m2aidec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2andec

0 references

Q11242

Defining formula

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

xml-id

C4.S23.SS2.p1.m5ahdec

0 references

principal branch of logarithm function

Defining formula

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

xml-id

C4.S2.E2.m2aidec

0 references

Q11245

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r11.m2adec

0 references

Q10777

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r29.m6addec

0 references

Q10897

Defining formula

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

xml-id

introduction.Sx4.p2.t1.r18.m6adec

0 references

Q11218

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C4.S1.XMD6.m1ddec

0 references

Q11222

Defining formula

${\displaystyle{\displaystyle y}}$

xml-id

C4.S1.XMD7.m1adec

0 references

Q11217

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C4.S1.XMD8.m1acdec

0 references

DLMF:4.23.E37

Defining formula

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

xml-id

C4.S23.XMD2.m1dec

0 references

DLMF:4.23.E38

Defining formula

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

xml-id

C4.S23.XMD3.m1dec

0 references

 

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