DLMF:1.14.E1 (Q493)

From testwiki
Revision as of 15:21, 1 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
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
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q493&oldid=2699"