DLMF:2.10.E9 (Q996): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Q11118 / rank
 
Normal rank
Property / Symbols used: Q11118 / qualifier
 
test:

U j subscript 𝑈 𝑗 {\displaystyle{\displaystyle U_{j}}}

U_{j}
Property / Symbols used: Q11118 / qualifier
 
xml-id: C2.S10.XMD10.m1dec
Property / Symbols used
 
Property / Symbols used: Q11119 / rank
 
Normal rank
Property / Symbols used: Q11119 / qualifier
 
test:

u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}}

u_{j}
Property / Symbols used: Q11119 / qualifier
 
xml-id: C2.S10.XMD8.m1dec
Property / Symbols used
 
Property / Symbols used: Q11120 / rank
 
Normal rank
Property / Symbols used: Q11120 / qualifier
 
test:

v j subscript 𝑣 𝑗 {\displaystyle{\displaystyle v_{j}}}

v_{j}
Property / Symbols used: Q11120 / qualifier
 
xml-id: C2.S10.XMD9.m1dec

Latest revision as of 17:34, 1 January 2020

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DLMF:2.10.E9
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    Statements

    j = 1 n - 1 u j v j = U n - 1 v n + j = 1 n - 1 U j ( v j - v j + 1 ) , superscript subscript 𝑗 1 𝑛 1 subscript 𝑢 𝑗 subscript 𝑣 𝑗 subscript 𝑈 𝑛 1 subscript 𝑣 𝑛 superscript subscript 𝑗 1 𝑛 1 subscript 𝑈 𝑗 subscript 𝑣 𝑗 subscript 𝑣 𝑗 1 {\displaystyle{\displaystyle\sum_{j=1}^{n-1}u_{j}v_{j}=U_{n-1}v_{n}+\sum_{j=1}% ^{n-1}U_{j}(v_{j}-v_{j+1}),}}
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    Warning: Falling back to standard tex;
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    U j subscript 𝑈 𝑗 {\displaystyle{\displaystyle U_{j}}}
    C2.S10.XMD10.m1dec
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    u j subscript 𝑢 𝑗 {\displaystyle{\displaystyle u_{j}}}
    C2.S10.XMD8.m1dec
    0 references
    v j subscript 𝑣 𝑗 {\displaystyle{\displaystyle v_{j}}}
    C2.S10.XMD9.m1dec
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