DLMF:1.16.E29 (Q629)

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Language	Label	Description	Also known as
English	DLMF:1.16.E29	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{F}(\phi)(\mathbf{x})=\mathscr{F}\phi(% \mathbf{x})=\frac{1}{(2\pi)^{n/2}}\int_{{\mathbb{R}^{n}}}\phi(\mathbf{t})e^{i% \mathbf{x}\cdot\mathbf{t}}\mathrm{d}\mathbf{t},}}

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DLMF:1.16.E29

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Symbols defined

Fourier transform of a test function (locally)

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1acdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3acdec

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Defining formula

{\displaystyle{\displaystyle\mathbb{R}}}

introduction.Sx4.p2.t1.r14.m2acdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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