DLMF:8.18.E10 (Q2678): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11362 / rank
 
Normal rank
Property / Symbols used: Q11362 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11362 / qualifier
 
xml-id: C8.S17.XMD3.m1fdec

Latest revision as of 14:06, 2 January 2020

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DLMF:8.18.E10
No description defined

    Statements

    Defining formula
    - 1 2 ⁢ η 2 = x 0 ⁢ ln ⁡ ( x x 0 ) + ( 1 - x 0 ) ⁢ ln ⁡ ( 1 - x 1 - x 0 ) , 1 2 superscript 𝜂 2 subscript 𝑥 0 𝑥 subscript 𝑥 0 1 subscript 𝑥 0 1 𝑥 1 subscript 𝑥 0 {\displaystyle{\displaystyle-\tfrac{1}{2}\eta^{2}=x_{0}\ln\left(\frac{x}{x_{0}% }\right)+(1-x_{0})\ln\left(\frac{1-x}{1-x_{0}}\right),}}
    0 references
    DLMF id
    DLMF:8.18.E10
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
    0 references
    Q11362
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S17.XMD3.m1fdec
    0 references
     
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