DLMF:14.15.E7 (Q4853): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11612 / rank
 
Normal rank
Property / Symbols used: Q11612 / qualifier
 
test:

p 𝑝 {\displaystyle{\displaystyle p}}

p
Property / Symbols used: Q11612 / qualifier
 
xml-id: C14.S15.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11613 / rank
 
Normal rank
Property / Symbols used: Q11613 / qualifier
 
test:

ρ 𝜌 {\displaystyle{\displaystyle\rho}}

\rho
Property / Symbols used: Q11613 / qualifier
 
xml-id: C14.S15.XMD5.m1adec

Latest revision as of 00:48, 2 January 2020

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English
DLMF:14.15.E7
No description defined

    Statements

    test
    ρ = 1 2 ⁢ ln ⁡ ( 1 + p 1 - p ) + 1 2 ⁢ α ⁢ ln ⁡ ( 1 - α ⁢ p 1 + α ⁢ p ) . 𝜌 1 2 1 𝑝 1 𝑝 1 2 𝛼 1 𝛼 𝑝 1 𝛼 𝑝 {\displaystyle{\displaystyle\rho=\frac{1}{2}\ln\left(\frac{1+p}{1-p}\right)+% \frac{1}{2}\alpha\ln\left(\frac{1-\alpha p}{1+\alpha p}\right).}}
    0 references
    DLMF id
    DLMF:14.15.E7
    0 references
    Symbols used
    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q11611
    test
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C14.S15.XMD3.m1cdec
    0 references
    Q11612
    test
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C14.S15.XMD4.m1bdec
    0 references
    Q11613
    test
    ρ 𝜌 {\displaystyle{\displaystyle\rho}}
    xml-id
    C14.S15.XMD5.m1adec
    0 references
     
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