DLMF:32.11.E10 (Q9445): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: asymptotic equality / rank
 
Normal rank
Property / Symbols used: asymptotic equality / qualifier
 
Defining formula:

asymptotically-equals {\displaystyle{\displaystyle\sim}}

\asympeq
Property / Symbols used: asymptotic equality / qualifier
 
xml-id: C2.S1.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10897 / rank
 
Normal rank
Property / Symbols used: Q10897 / qualifier
 
Defining formula:

sign x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}

\sign@@{\NVar{x}}
Property / Symbols used: Q10897 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r18.m6aadec
Property / Symbols used
 
Property / Symbols used: Q12533 / rank
 
Normal rank
Property / Symbols used: Q12533 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12533 / qualifier
 
xml-id: C32.S1.XMD3.m1gdec
Property / Symbols used
 
Property / Symbols used: Q12534 / rank
 
Normal rank
Property / Symbols used: Q12534 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12534 / qualifier
 
xml-id: C32.S1.XMD5.m1cdec

Latest revision as of 14:13, 2 January 2020

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DLMF:32.11.E10
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    Statements

    w k ( x ) sign ( k ) 1 2 | x | , asymptotically-equals subscript 𝑤 𝑘 𝑥 sign 𝑘 1 2 𝑥 {\displaystyle{\displaystyle w_{k}(x)\sim\operatorname{sign}\left(k\right)% \sqrt{\tfrac{1}{2}|x|},}}
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    DLMF:32.11.E10
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    x - 𝑥 {\displaystyle{\displaystyle x\to-\infty}}
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    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2aadec
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    sign x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}
    introduction.Sx4.p2.t1.r18.m6aadec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C32.S1.XMD3.m1gdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C32.S1.XMD5.m1cdec
    0 references