DLMF:18.2.E3 (Q5492): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11730 / rank
 
Normal rank
Property / Symbols used: Q11730 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11730 / qualifier
 
xml-id: C18.S1.XMD5.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11736 / rank
 
Normal rank
Property / Symbols used: Q11736 / qualifier
 
Defining formula:

N 𝑁 {\displaystyle{\displaystyle N}}

N
Property / Symbols used: Q11736 / qualifier
 
xml-id: C18.S1.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: Q11731 / rank
 
Normal rank
Property / Symbols used: Q11731 / qualifier
 
Defining formula:

p n ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}

p_{n}(x)
Property / Symbols used: Q11731 / qualifier
 
xml-id: C18.S1.XMD9.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1bdec

Latest revision as of 15:13, 2 January 2020

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DLMF:18.2.E3
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    Statements

    x X p n ( x ) p m ( x ) w x = 0 , subscript 𝑥 𝑋 subscript 𝑝 𝑛 𝑥 subscript 𝑝 𝑚 𝑥 subscript 𝑤 𝑥 0 {\displaystyle{\displaystyle\sum_{x\in X}p_{n}(x)p_{m}(x)w_{x}=0,}}
    0 references
    DLMF:18.2.E3
    0 references
    Warning: Falling back to standard tex;
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    n , m = 0 , 1 , , N ; n m formulae-sequence 𝑛 𝑚 0 1 𝑁 𝑛 𝑚 {\displaystyle{\displaystyle n,m=0,1,\ldots,N;n\neq m}}
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    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2aadec
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    w x subscript 𝑤 𝑥 {\displaystyle{\displaystyle w_{x}}}
    C18.S1.XMD11.m1adec
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    X 𝑋 {\displaystyle{\displaystyle X}}
    C18.S1.XMD12.m1adec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C18.S1.XMD5.m1bdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1bdec
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    N 𝑁 {\displaystyle{\displaystyle N}}
    C18.S1.XMD7.m1dec
    0 references
    p n ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    C18.S1.XMD9.m1bdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1bdec
    0 references