DLMF:23.18.E7 (Q7367): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12087 / rank
 
Normal rank
Property / Symbols used: Q12087 / qualifier
 
test:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q12087 / qualifier
 
xml-id: C23.S15.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12088 / rank
 
Normal rank
Property / Symbols used: Q12088 / qualifier
 
test:

d 𝑑 {\displaystyle{\displaystyle d}}

d
Property / Symbols used: Q12088 / qualifier
 
xml-id: C23.S15.XMD5.m1bdec

Latest revision as of 00:20, 2 January 2020

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DLMF:23.18.E7
No description defined

    Statements

    test
    s ⁢ ( d , c ) = ∑ r = 1 c - 1 r c ⁢ ( d ⁢ r c - ⌊ d ⁢ r c ⌋ - 1 2 ) , 𝑠 𝑑 𝑐 superscript subscript 𝑟 1 𝑐 1 𝑟 𝑐 𝑑 𝑟 𝑐 𝑑 𝑟 𝑐 1 2 {\displaystyle{\displaystyle{s(d,c)=\sum_{r=1}^{c-1}\frac{r}{c}\left(\frac{dr}% {c}-\left\lfloor\frac{dr}{c}\right\rfloor-\frac{1}{2}\right),}}}
    0 references
    DLMF id
    DLMF:23.18.E7
    0 references
    constraint
    c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}}
    0 references
    Symbols used
    Q11169
    test
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4adec
    0 references
    Q12093
    test
    ( m , n ) 𝑚 𝑛 {\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}
    xml-id
    C27.S1.p2.t1.r3.m6adec
    0 references
    Q12087
    test
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C23.S15.XMD4.m1bdec
    0 references
    Q12088
    test
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C23.S15.XMD5.m1bdec
    0 references
     
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