DLMF:36.8.E3 (Q9947): Difference between revisions

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‎Created a new Item: Wikidata Toolkit example test item creation
 
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Property / Symbols used
 
Property / Symbols used: Q10919 / rank
 
Normal rank
Property / Symbols used: Q10919 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryAi@{\NVar{z}}}

\AiryAi@{\NVar{z}}
Property / Symbols used: Q10919 / qualifier
 
xml-id: C9.S2.SS1.m1adec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
Property / Symbols used
 
Property / Symbols used: hyperbolic umbilic canonical integral function / rank
 
Normal rank
Property / Symbols used: hyperbolic umbilic canonical integral function / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperumbcanonint@{\NVar{\mathbf{x}}}}

\hyperumbcanonint@{\NVar{\mathbf{x}}}
Property / Symbols used: hyperbolic umbilic canonical integral function / qualifier
 
xml-id: C36.S2.E5.m4adec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q12745 / rank
 
Normal rank
Property / Symbols used: Q12745 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y}

y
Property / Symbols used: Q12745 / qualifier
 
xml-id: C36.S1.XMD10.m1dec
Property / Symbols used
 
Property / Symbols used: Q12746 / rank
 
Normal rank
Property / Symbols used: Q12746 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}

z
Property / Symbols used: Q12746 / qualifier
 
xml-id: C36.S1.XMD11.m1dec
Property / Symbols used
 
Property / Symbols used: Q12755 / rank
 
Normal rank
Property / Symbols used: Q12755 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}

m
Property / Symbols used: Q12755 / qualifier
 
xml-id: C36.S1.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12748 / rank
 
Normal rank
Property / Symbols used: Q12748 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}

x
Property / Symbols used: Q12748 / qualifier
 
xml-id: C36.S1.XMD9.m1dec
Property / Symbols used
 
Property / Symbols used: Q12756 / rank
 
Normal rank
Property / Symbols used: Q12756 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c_{n}(t)}

c_{n}(t)
Property / Symbols used: Q12756 / qualifier
 
xml-id: C36.S8.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12757 / rank
 
Normal rank
Property / Symbols used: Q12757 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle d_{n}(t)}

d_{n}(t)
Property / Symbols used: Q12757 / qualifier
 
xml-id: C36.S8.XMD4.m1dec

Latest revision as of 15:10, 2 January 2020

No description defined
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English
DLMF:36.8.E3
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \dfrac{3^{2/3}}{4\pi^{2}}\hyperumbcanonint@{3^{1/3}\mathbf{x}}=\AiryAi@{x}\AiryAi@{y}\sum\limits_{n=0}^{\infty}(-3^{-1/3}iz)^{n}\dfrac{c_{n}(x)c_{n}(y)}{n!}+\AiryAi@{x}\AiryAi'@{y}\sum\limits_{n=2}^{\infty}(-3^{-1/3}iz)^{n}\dfrac{c_{n}(x)d_{n}(y)}{n!}+\AiryAi'@{x}\AiryAi@{y}\sum\limits_{n=2}^{\infty}(-3^{-1/3}iz)^{n}\dfrac{d_{n}(x)c_{n}(y)}{n!}+\AiryAi'@{x}\AiryAi'@{y}\sum\limits_{n=1}^{\infty}(-3^{-1/3}iz)^{n}\dfrac{d_{n}(x)d_{n}(y)}{n!},}
    0 references
    DLMF id
    DLMF:36.8.E3
    0 references
    Symbols used
    Q10919
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryAi@{\NVar{z}}}
    xml-id
    C9.S2.SS1.m1adec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    Q10755
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    hyperbolic umbilic canonical integral function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperumbcanonint@{\NVar{\mathbf{x}}}}
    xml-id
    C36.S2.E5.m4adec
    0 references
    imaginary unit
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2abdec
    0 references
    Q12745
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y}
    xml-id
    C36.S1.XMD10.m1dec
    0 references
    Q12746
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C36.S1.XMD11.m1dec
    0 references
    Q12755
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C36.S1.XMD3.m1bdec
    0 references
    Q12748
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
    xml-id
    C36.S1.XMD9.m1dec
    0 references
    Q12756
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c_{n}(t)}
    xml-id
    C36.S8.XMD3.m1dec
    0 references
    Q12757
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle d_{n}(t)}
    xml-id
    C36.S8.XMD4.m1dec
    0 references
     
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