DLMF:2.3.E11 (Q727): Difference between revisions

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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: exponential function / rank
 
Normal rank
Property / Symbols used: exponential function / qualifier
 
test:

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10955 / rank
 
Normal rank
Property / Symbols used: Q10955 / qualifier
 
test:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q10955 / qualifier
 
xml-id: C2.S3.XMD13.m1dec
Property / Symbols used
 
Property / Symbols used: Q10954 / rank
 
Normal rank
Property / Symbols used: Q10954 / qualifier
 
test:

κ 𝜅 {\displaystyle{\displaystyle\kappa}}

\kappa
Property / Symbols used: Q10954 / qualifier
 
xml-id: C2.S3.XMD14.m1adec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
test:

q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}

q(t)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C2.S3.XMD6.m1cdec

Latest revision as of 15:51, 1 January 2020

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DLMF:2.3.E11
No description defined

    Statements

    test
    q ⁢ ( t ) = O ⁡ ( exp ⁡ ( b ⁢ t κ ) ) , 𝑞 𝑡 Big-O 𝑏 superscript 𝑡 𝜅 {\displaystyle{\displaystyle q(t)=O\left(\exp\left(bt^{\kappa}\right)\right),}}
    0 references
    DLMF id
    DLMF:2.3.E11
    0 references
    constraint
    t → + ∞ → 𝑡 {\displaystyle{\displaystyle t\to+\infty}}
    0 references
    Symbols used
    order not exceeding
    test
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
    0 references
    exponential function
    test
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2aadec
    0 references
    Q10955
    test
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C2.S3.XMD13.m1dec
    0 references
    Q10954
    test
    κ 𝜅 {\displaystyle{\displaystyle\kappa}}
    xml-id
    C2.S3.XMD14.m1adec
    0 references
    function (locally)
    test
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S3.XMD6.m1cdec
    0 references
     
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