DLMF:4.37.E23 (Q1942): 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.m2aedec

Revision as of 18:17, 1 January 2020

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DLMF:4.37.E23
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    Statements

    test
    arccosh ⁡ x = ± π ⁢ i + ln ⁡ ( ( x 2 - 1 ) 1 / 2 - x ) , hyperbolic-inverse-cosine 𝑥 plus-or-minus 𝜋 𝑖 superscript superscript 𝑥 2 1 1 2 𝑥 {\displaystyle{\displaystyle\operatorname{arccosh}x=\pm\pi i+\ln\left((x^{2}-1% )^{1/2}-x\right),}}
    0 references
    DLMF id
    DLMF:4.37.E23
    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.m2aedec
    0 references
     
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