DLMF:6.7.E10 (Q2263): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aidec

Revision as of 01:28, 2 January 2020

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DLMF:6.7.E10
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    Statements

    Defining formula
    Ein ⁡ ( z ) - Cin ⁡ ( z ) = ∫ 0 π / 2 e - z ⁢ cos ⁡ t ⁢ sin ⁡ ( z ⁢ sin ⁡ t ) ⁢ d t , complementary-exponential-integral 𝑧 cosine-integral-Cin 𝑧 superscript subscript 0 𝜋 2 superscript 𝑒 𝑧 𝑡 𝑧 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Ein}\left(z\right)-\mathrm{Cin}\left(z% \right)=\int_{0}^{\pi/2}e^{-z\cos t}\sin\left(z\sin t\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:6.7.E10
    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.m2aadec
    0 references
    complementary exponential integral
    Defining formula
    Ein ⁡ ( z ) complementary-exponential-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ein}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E3.m2abdec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2abdec
    0 references
    cosine integral
    Defining formula
    Cin ⁡ ( z ) cosine-integral-Cin 𝑧 {\displaystyle{\displaystyle\mathrm{Cin}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E12.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aidec
    0 references
     
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