DLMF:1.14.E1 (Q493): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

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

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2adec

Revision as of 15:21, 1 January 2020

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DLMF:1.14.E1
No description defined

    Statements

    test
    ℱ ⁡ ( f ) ⁡ ( x ) = ℱ ⁡ f ⁡ ( x ) = 1 2 ⁢ π ⁢ ∫ - ∞ ∞ f ⁢ ( t ) ⁢ e i ⁢ x ⁢ t ⁢ d t . Fourier-transform 𝑓 𝑥 Fourier-transform 𝑓 𝑥 1 2 𝜋 subscript superscript 𝑓 𝑡 superscript 𝑒 𝑖 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\mathscr{F}\left(f\right)\left(x\right)=\mathscr{F% }\mskip-3.0mu f\mskip 3.0mu \left(x\right)=\frac{1}{\sqrt{2\pi}}\int^{\infty}_% {-\infty}f(t)e^{ixt}\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:1.14.E1
    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.m2adec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
     
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