DLMF:1.17.E8 (Q667): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2acdec

Revision as of 15:43, 1 January 2020

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DLMF:1.17.E8
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    Statements

    1 2 π - e - i a t ( - ϕ ( x ) e i t x d x ) d t = ϕ ( a ) 1 2 𝜋 superscript subscript superscript 𝑒 𝑖 𝑎 𝑡 superscript subscript italic-ϕ 𝑥 superscript 𝑒 𝑖 𝑡 𝑥 𝑥 𝑡 italic-ϕ 𝑎 {\displaystyle{\displaystyle\frac{1}{2\pi}\int_{-\infty}^{\infty}e^{-iat}\left% (\int_{-\infty}^{\infty}\phi(x)e^{itx}\mathrm{d}x\right)\mathrm{d}t=\phi(a)}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
    0 references