DLMF:4.23.E21 (Q1773): Difference between revisions

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Property / Symbols used
 
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
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2afdec

Revision as of 17:32, 1 January 2020

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DLMF:4.23.E21
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    Statements

    test
    arcsin ⁡ x = - 1 2 ⁢ π ± i ⁢ ln ⁡ ( ( x 2 - 1 ) 1 / 2 - x ) , 𝑥 plus-or-minus 1 2 𝜋 𝑖 superscript superscript 𝑥 2 1 1 2 𝑥 {\displaystyle{\displaystyle\operatorname{arcsin}x=-\tfrac{1}{2}\pi\pm i\ln% \left((x^{2}-1)^{1/2}-x\right),}}
    0 references
    DLMF id
    DLMF:4.23.E21
    0 references
    constraint
    x ∈ ( - ∞ , - 1 ] 𝑥 1 {\displaystyle{\displaystyle x\in(-\infty,-1]}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
    0 references
     
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