DLMF:26.18.E2 (Q7985): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12172 / rank
 
Normal rank
Property / Symbols used: Q12172 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12172 / qualifier
 
xml-id: C26.S1.XMD6.m1adec

Revision as of 14:12, 2 January 2020

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DLMF:26.18.E2
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    Statements

    Defining formula
    N + ∑ t = 1 n ( - 1 ) t ⁢ ∑ 1 ≤ j 1 < j 2 < ⋯ < j t ≤ n ⌊ N p j 1 ⁢ p j 2 ⁢ ⋯ ⁢ p j t ⌋ . 𝑁 superscript subscript 𝑡 1 𝑛 superscript 1 𝑡 subscript 1 subscript 𝑗 1 subscript 𝑗 2 ⋯ subscript 𝑗 𝑡 𝑛 𝑁 subscript 𝑝 subscript 𝑗 1 subscript 𝑝 subscript 𝑗 2 ⋯ subscript 𝑝 subscript 𝑗 𝑡 {\displaystyle{\displaystyle N+\sum_{t=1}^{n}(-1)^{t}\sum_{1\leq j_{1}<j_{2}<% \cdots<j_{t}\leq n}\left\lfloor\frac{N}{p_{j_{1}}p_{j_{2}}\cdots p_{j_{t}}}% \right\rfloor.}}
    0 references
    DLMF id
    DLMF:26.18.E2
    0 references
    Symbols used
    Q11169
    Defining formula
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4adec
    0 references
    Q12176
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C26.S1.XMD3.m1adec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1adec
    0 references
     
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