DLMF:1.16.E41 (Q649): 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.m2aedec

Revision as of 15:40, 1 January 2020

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DLMF:1.16.E41
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    ( 1 ) , ϕ = 2 π ( ( δ ) ) , ϕ = 2 π ( δ ) , ( ϕ ) = 2 π δ , ( ( ϕ ) ) = 2 π δ , ϕ - = 2 π ϕ ( 0 ) , distribution distributional-Fourier-transform 1 italic-ϕ 2 distribution distributional-Fourier-transform distributional-Fourier-transform delta-distribution italic-ϕ 2 distribution distributional-Fourier-transform delta-distribution italic-ϕ 2 distribution delta-distribution italic-ϕ 2 distribution delta-distribution subscript italic-ϕ 2 italic-ϕ 0 {\displaystyle{\displaystyle\left\langle\mathscr{F}\left(1\right),\phi\right% \rangle=\sqrt{2\pi}\left\langle\mathscr{F}\left(\mathscr{F}\left(\delta\right)% \right),\phi\right\rangle=\sqrt{2\pi}\left\langle\mathscr{F}\left(\delta\right% ),\mathscr{F}(\phi)\right\rangle=\sqrt{2\pi}\left\langle\delta,\mathscr{F}(% \mathscr{F}(\phi))\right\rangle=\sqrt{2\pi}\left\langle\delta,\phi_{-}\right% \rangle=\sqrt{2\pi}\phi(0),}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aedec
    0 references