DLMF:27.5.E2 (Q8026): 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: Q11169 / rank
 
Normal rank
Property / Symbols used: Q11169 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

\floor{\NVar{x}}
Property / Symbols used: Q11169 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r17.m4adec
Property / Symbols used
 
Property / Symbols used: Q12241 / rank
 
Normal rank
Property / Symbols used: Q12241 / qualifier
 
Defining formula:

d 𝑑 {\displaystyle{\displaystyle d}}

d
Property / Symbols used: Q12241 / qualifier
 
xml-id: C27.S1.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12234 / rank
 
Normal rank
Property / Symbols used: Q12234 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12234 / qualifier
 
xml-id: C27.S1.XMD4.m1adec

Latest revision as of 14:18, 2 January 2020

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DLMF:27.5.E2
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    Statements

    d | n μ ( d ) = 1 n , subscript divides 𝑑 𝑛 Moebius-mu 𝑑 1 𝑛 {\displaystyle{\displaystyle\sum_{d\mathbin{|}n}\mu\left(d\right)=\left\lfloor% \frac{1}{n}\right\rfloor,}}
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    DLMF:27.5.E2
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    μ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
    C27.S2.E12.m2adec
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    x 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    introduction.Sx4.p1.t1.r17.m4adec
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    d 𝑑 {\displaystyle{\displaystyle d}}
    C27.S1.XMD1.m1adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C27.S1.XMD4.m1adec
    0 references