DLMF:4.23.E24 (Q1776): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11208 / rank
 
Normal rank
Property / Symbols used: Q11208 / qualifier
 
test:

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

\acos@@{\NVar{z}}
Property / Symbols used: Q11208 / qualifier
 
xml-id: C4.S23.SS2.p1.m6afdec

Revision as of 17:33, 1 January 2020

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DLMF:4.23.E24
No description defined

    Statements

    test
    arccos ⁡ x = ∓ i ⁢ ln ⁡ ( ( x 2 - 1 ) 1 / 2 + x ) , 𝑥 minus-or-plus 𝑖 superscript superscript 𝑥 2 1 1 2 𝑥 {\displaystyle{\displaystyle\operatorname{arccos}x=\mp i\ln\left((x^{2}-1)^{1/% 2}+x\right),}}
    0 references
    DLMF id
    DLMF:4.23.E24
    0 references
    constraint
    x ∈ [ 1 , ∞ ) 𝑥 1 {\displaystyle{\displaystyle x\in[1,\infty)}}
    0 references
    Symbols used
    Q11243
    test
    [ a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p2.t1.r1.m4aadec
    0 references
    Q10784
    test
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aedec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aidec
    0 references
    Q11208
    test
    arccos ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m6afdec
    0 references
     
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