DLMF:6.16.E4 (Q2313): Difference between revisions

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Property / constraint
 

n 𝑛 {\displaystyle{\displaystyle n\to\infty}}

n\to\infty
Property / constraint: n 𝑛 {\displaystyle{\displaystyle n\to\infty}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
test:

O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2adec
Property / Symbols used
 
Property / Symbols used: Q11307 / rank
 
Normal rank
Property / Symbols used: Q11307 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11307 / qualifier
 
xml-id: C6.S1.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11308 / rank
 
Normal rank
Property / Symbols used: Q11308 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11308 / qualifier
 
xml-id: C6.S1.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: remainder term (locally) / rank
 
Normal rank
Property / Symbols used: remainder term (locally) / qualifier
 
test:

R n ( x ) subscript 𝑅 𝑛 𝑥 {\displaystyle{\displaystyle R_{n}(x)}}

R_{n}(x)
Property / Symbols used: remainder term (locally) / qualifier
 
xml-id: C6.S16.XMD2.m1bdec

Latest revision as of 00:35, 2 January 2020

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DLMF:6.16.E4
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    Statements

    R n ( x ) = O ( n - 1 ) , subscript 𝑅 𝑛 𝑥 Big-O superscript 𝑛 1 {\displaystyle{\displaystyle R_{n}(x)=O\left(n^{-1}\right),}}
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    n 𝑛 {\displaystyle{\displaystyle n\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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    x 𝑥 {\displaystyle{\displaystyle x}}
    C6.S1.XMD1.m1cdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C6.S1.XMD3.m1bdec
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    R n ( x ) subscript 𝑅 𝑛 𝑥 {\displaystyle{\displaystyle R_{n}(x)}}
    C6.S16.XMD2.m1bdec
    0 references