DLMF:30.15.E5 (Q8947): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:30.15.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{-\tau}^{\tau}e^{-\mathrm{i}t\omega}\phi_{n}(% t)\mathrm{d}t=(-\mathrm{i})^{n}\sqrt{\frac{2\pi\tau\Lambda_{n}}{\sigma}}\phi_{% n}\left(\frac{\tau}{\sigma}\omega\right),}}

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DLMF:30.15.E5

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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Defining formula

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

C1.S4.SS4.m1abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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Defining formula

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

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

{\displaystyle{\displaystyle n\geq m}}

C30.S1.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle\tau>0}}

C30.S15.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle\sigma>0}}

C30.S15.XMD2.m1bdec

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function (locally)

Defining formula

{\displaystyle{\displaystyle\phi_{n}(t)}}

C30.S15.XMD3.m1cdec

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Sitelinks

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