DLMF:31.15.E2 (Q9120): Difference between revisions

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‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12512 / rank
 
Normal rank
Property / Symbols used: Q12512 / qualifier
 
Defining formula:

N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}}

N+1
Property / Symbols used: Q12512 / qualifier
 
xml-id: C31.S14.XMD1.m1adec

Latest revision as of 13:43, 2 January 2020

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DLMF:31.15.E2
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    Statements

    Defining formula
    ∑ j = 1 N γ j / 2 z k - a j + ∑ j = 1 j ≠ k n 1 z k - z j = 0 , superscript subscript 𝑗 1 𝑁 subscript 𝛾 𝑗 2 subscript 𝑧 𝑘 subscript 𝑎 𝑗 superscript subscript 𝑗 1 𝑗 𝑘 𝑛 1 subscript 𝑧 𝑘 subscript 𝑧 𝑗 0 {\displaystyle{\displaystyle\sum_{j=1}^{N}\frac{\gamma_{j}/2}{z_{k}-a_{j}}+% \sum_{\begin{subarray}{c}j=1\\ j\neq k\end{subarray}}^{n}\frac{1}{z_{k}-z_{j}}=0,}}
    0 references
    DLMF id
    DLMF:31.15.E2
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    k = 1 , 2 , … , n 𝑘 1 2 … 𝑛 {\displaystyle{\displaystyle k=1,2,\dots,n}}
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    Symbols used
    Q12457
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C31.S1.XMD1.m1adec
    0 references
    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1adec
    0 references
    Q12477
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C31.S1.XMD2.m1adec
    0 references
    Q12484
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C31.S1.XMD5.m1dec
    0 references
    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1adec
    0 references
    Q12512
    Defining formula
    N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}}
    xml-id
    C31.S14.XMD1.m1adec
    0 references
     
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