DLMF:4.26.E13 (Q1829): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aldec
Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
test:

sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2ahdec

Latest revision as of 17:42, 1 January 2020

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DLMF:4.26.E13
No description defined

    Statements

    test
    ∫ 0 ∞ sin ⁡ ( t 2 ) ⁢ d t = ∫ 0 ∞ cos ⁡ ( t 2 ) ⁢ d t = 1 2 ⁢ π 2 . superscript subscript 0 superscript 𝑡 2 𝑡 superscript subscript 0 superscript 𝑡 2 𝑡 1 2 𝜋 2 {\displaystyle{\displaystyle\int_{0}^{\infty}\sin\left(t^{2}\right)\mathrm{d}t% =\int_{0}^{\infty}\cos\left(t^{2}\right)\mathrm{d}t=\frac{1}{2}\sqrt{\frac{\pi% }{2}}.}}
    0 references
    DLMF id
    DLMF:4.26.E13
    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.m2ahdec
    0 references
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2agdec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aldec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aldec
    0 references
    sine function
    test
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2ahdec
    0 references
     
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