DLMF:19.26.E5 (Q6557): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11880 / rank
 
Normal rank
Property / Symbols used: Q11880 / qualifier
 
Defining formula:

μ > 0 𝜇 0 {\displaystyle{\displaystyle\mu>0}}

\mu>0
Property / Symbols used: Q11880 / qualifier
 
xml-id: C19.S26.XMD5.m1cdec

Latest revision as of 14:11, 2 January 2020

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DLMF:19.26.E5
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    Statements

    Defining formula
    μ = λ - 2 ⁢ ( x ⁢ y ⁢ z + ( x + λ ) ⁢ ( y + λ ) ⁢ ( z + λ ) ) 2 - λ - x - y - z , 𝜇 superscript 𝜆 2 superscript 𝑥 𝑦 𝑧 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 2 𝜆 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle\mu=\lambda^{-2}\left(\sqrt{xyz}+\sqrt{(x+\lambda)% (y+\lambda)(z+\lambda)}\right)^{2}-\lambda-x-y-z,}}
    0 references
    DLMF id
    DLMF:19.26.E5
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11876
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C19.S26.XMD1.m1cdec
    0 references
    Q11877
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1cdec
    0 references
    Q11878
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1cdec
    0 references
    Q11879
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C19.S26.XMD4.m1ddec
    0 references
    Q11880
    Defining formula
    μ > 0 𝜇 0 {\displaystyle{\displaystyle\mu>0}}
    xml-id
    C19.S26.XMD5.m1cdec
    0 references
     
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