DLMF:4.23.E34 (Q1786): Difference between revisions

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Property / Symbols used: Q10784 / rank
 
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{\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2aidec

Revision as of 17:35, 1 January 2020

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DLMF:4.23.E34
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    Statements

    arcsin z = arcsin β + i sign ( y ) ln ( α + ( α 2 - 1 ) 1 / 2 ) , 𝑧 𝛽 imaginary-unit sign 𝑦 𝛼 superscript superscript 𝛼 2 1 1 2 {\displaystyle{\displaystyle\operatorname{arcsin}z=\operatorname{arcsin}\beta+% \mathrm{i}\operatorname{sign}\left(y\right)\ln\left(\alpha+(\alpha^{2}-1)^{1/2% }\right),}}
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    [ a , b ] 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}}
    introduction.Sx4.p1.t1.r30.m6adec
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    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2aidec
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