DLMF:36.11.E3 (Q9986): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: exponential function / rank
 
Normal rank
Property / Symbols used: exponential function / qualifier
 
Defining formula:

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

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2aadec
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.m2aadec
Property / Symbols used
 
Property / Symbols used: order less than / rank
 
Normal rank
Property / Symbols used: order less than / qualifier
 
Defining formula:

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

\littleo@{\NVar{x}}
Property / Symbols used: order less than / qualifier
 
xml-id: C2.S1.E2.m2aadec
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

Latest revision as of 15:17, 2 January 2020

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DLMF:36.11.E3
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \canonint{2}@{0,y}=\begin{cases}\sqrt{\ifrac{\pi}{y}}\left(\exp@{\tfrac{1}{4}i\pi}+\littleo@{1}\right),&y\to+\infty,\\ \sqrt{\ifrac{\pi}{|y|}}\exp@{-\tfrac{1}{4}i\pi}\left(1+i\sqrt{2}\exp@{-\frac{1}{4}iy^{2}}+\littleo@{1}\right),&y\to-\infty.\end{cases}}
    0 references
    DLMF:36.11.E3
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \canonint{\NVar{K}}@{\NVar{\mathbf{x}}}}
    C36.S2.E4.m2aadec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    C3.S12.E1.m2aadec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}
    C4.S2.E19.m2aadec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    C1.S9.E1.m2aadec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \littleo@{\NVar{x}}}
    C2.S1.E2.m2aadec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y}
    C36.S1.XMD10.m1dec
    0 references