DLMF:3.5.E45 (Q1301): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: complementary error function / rank
 
Normal rank
Property / Symbols used: complementary error function / qualifier
 
test:

erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}

\erfc@@{\NVar{z}}
Property / Symbols used: complementary error function / qualifier
 
xml-id: C7.S2.E2.m2acdec

Revision as of 16:53, 1 January 2020

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DLMF:3.5.E45
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    Statements

    test
    erfc ⁡ λ = e - λ 2 2 ⁢ π ⁢ ∫ - π π e - λ 2 ⁢ tan 2 ⁡ ( 1 2 ⁢ θ ) ⁢ d θ . complementary-error-function 𝜆 superscript 𝑒 superscript 𝜆 2 2 superscript subscript superscript 𝑒 superscript 𝜆 2 2 1 2 𝜃 𝜃 {\displaystyle{\displaystyle\operatorname{erfc}\lambda=\frac{e^{-\lambda^{2}}}% {2\pi}\int_{-\pi}^{\pi}e^{-\lambda^{2}{\tan^{2}}\left(\frac{1}{2}\theta\right)% }\mathrm{d}\theta.}}
    0 references
    DLMF id
    DLMF:3.5.E45
    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.m2akdec
    0 references
    complementary error function
    test
    erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    xml-id
    C7.S2.E2.m2acdec
    0 references
     
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