DLMF:1.8.E7 (Q261): 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 less than / rank
 
Normal rank
Property / Symbols used: order less than / qualifier
 
test:

o ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}

\littleo@{\NVar{x}}
Property / Symbols used: order less than / qualifier
 
xml-id: C2.S1.E2.m2adec
Property / Symbols used
 
Property / Symbols used: Q10761 / rank
 
Normal rank
Property / Symbols used: Q10761 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q10761 / qualifier
 
xml-id: C1.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1fdec

Latest revision as of 15:03, 1 January 2020

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DLMF:1.8.E7
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    Statements

    a n , b n , c n = o ( n - m ) , subscript 𝑎 𝑛 subscript 𝑏 𝑛 subscript 𝑐 𝑛 little-o superscript 𝑛 𝑚 {\displaystyle{\displaystyle a_{n},b_{n},c_{n}=o\left(n^{-m}\right),}}
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    n 𝑛 {\displaystyle{\displaystyle n\to\infty}}
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    o ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
    C2.S1.E2.m2adec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C1.S1.XMD6.m1dec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1fdec
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