DLMF:1.16.E48 (Q656): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aidec
Property / Symbols used
 
Property / Symbols used: Q10897 / rank
 
Normal rank
Property / Symbols used: Q10897 / qualifier
 
Defining formula:

sign x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}

\sign@@{\NVar{x}}
Property / Symbols used: Q10897 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r18.m6addec

Latest revision as of 16:41, 1 January 2020

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DLMF:1.16.E48
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    Statements

    ( sign ) = 2 π i x , distributional-Fourier-transform sign 2 imaginary-unit 𝑥 {\displaystyle{\displaystyle\mathscr{F}\left(\operatorname{sign}\right)=\sqrt{% \frac{2}{\pi}}\,\frac{\mathrm{i}}{x},}}
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    DLMF:1.16.E48
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aidec
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    ( u ) distributional-Fourier-transform 𝑢 {\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}
    C1.S16.E35.m2aidec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aidec
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    sign x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}
    introduction.Sx4.p2.t1.r18.m6addec
    0 references