DLMF:2.6.E11 (Q836): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11019 / rank
 
Normal rank
Property / Symbols used: Q11019 / qualifier
 
test:

f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}

f(t)
Property / Symbols used: Q11019 / qualifier
 
xml-id: C2.S6.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11023 / rank
 
Normal rank
Property / Symbols used: Q11023 / qualifier
 
test:

𝒯 𝒯 {\displaystyle{\displaystyle\mathcal{T}}}

\mathcal{T}
Property / Symbols used: Q11023 / qualifier
 
xml-id: C2.S6.XMD6.m1dec

Latest revision as of 16:10, 1 January 2020

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DLMF:2.6.E11
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    Statements

    f , ϕ = 0 f ( t ) ϕ ( t ) d t , distribution 𝑓 italic-ϕ superscript subscript 0 𝑓 𝑡 italic-ϕ 𝑡 𝑡 {\displaystyle{\displaystyle\left\langle f,\phi\right\rangle=\int_{0}^{\infty}% f(t)\phi(t)\mathrm{d}t,}}
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    ϕ 𝒯 italic-ϕ 𝒯 {\displaystyle{\displaystyle\phi\in\mathcal{T}}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aedec
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    Λ , ϕ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    C1.S16.SS1.p5.m5adec
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    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2adec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aedec
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    f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    C2.S6.XMD2.m1cdec
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    𝒯 𝒯 {\displaystyle{\displaystyle\mathcal{T}}}
    C2.S6.XMD6.m1dec
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