DLMF:25.16.E4 (Q7759): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12152 / rank
 
Normal rank
Property / Symbols used: Q12152 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12152 / qualifier
 
xml-id: C25.S1.XMD5.m1cdec

Latest revision as of 01:05, 2 January 2020

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DLMF:25.16.E4
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    Statements

    ψ ( x ) = x + O ( x 1 2 + ϵ ) , Chebyshev-psi 𝑥 𝑥 Big-O superscript 𝑥 1 2 italic-ϵ {\displaystyle{\displaystyle\psi\left(x\right)=x+O\left(x^{\frac{1}{2}+% \epsilon}\right),}}
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    DLMF:25.16.E4
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    x 𝑥 {\displaystyle{\displaystyle x\to\infty}}
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2adec
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    ψ ( x ) Chebyshev-psi 𝑥 {\displaystyle{\displaystyle\psi\left(\NVar{x}\right)}}
    C25.S16.E1.m2acdec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C25.S1.XMD5.m1cdec
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