DLMF:1.14.E10 (Q502): 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.m2agdec

Revision as of 15:22, 1 January 2020

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DLMF:1.14.E10
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    Statements

    test
    ℱ s ⁡ ( f ) ⁡ ( x ) = ℱ s ⁡ f ⁡ ( x ) = 2 π ⁢ ∫ 0 ∞ f ⁢ ( t ) ⁢ sin ⁡ ( x ⁢ t ) ⁢ d t . Fourier-sine-transform 𝑓 𝑥 Fourier-sine-transform 𝑓 𝑥 2 𝜋 subscript superscript 0 𝑓 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\mathscr{F}_{\mskip-2.0mu s}\left(f\right)\left(x% \right)=\mathscr{F}_{\mskip-2.0mu s}\mskip-1.0mu f\mskip 3.0mu \left(x\right)=% \sqrt{\frac{2}{\pi}}\int^{\infty}_{0}f(t)\sin\left(xt\right)\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:1.14.E10
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
    0 references
     
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