DLMF:7.2.E6 (Q2327): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3addec

Revision as of 01:36, 2 January 2020

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DLMF:7.2.E6
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    Statements

    Defining formula
    ℱ ⁡ ( z ) = ∫ z ∞ e 1 2 ⁢ π ⁢ i ⁢ t 2 ⁢ d t , Fresnel-integral 𝑧 superscript subscript 𝑧 superscript 𝑒 1 2 𝜋 imaginary-unit superscript 𝑡 2 𝑡 {\displaystyle{\displaystyle\mathcal{F}\left(z\right)=\int_{z}^{\infty}e^{% \tfrac{1}{2}\pi\mathrm{i}t^{2}}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:7.2.E6
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1addec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2addec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3addec
    0 references
     
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