DLMF:36.11.E2 (Q9985): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: order less than / rank
 
Normal rank
Property / Symbols used: order less than / qualifier
 
test:

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.m2adec
Property / Symbols used
 
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
test:

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

\pderiv{\NVar{f}}{\NVar{x}}
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S5.E3.m4adec
Property / Symbols used
 
Property / Symbols used: partial differential of $$x$$ / rank
 
Normal rank
Property / Symbols used: partial differential of $$x$$ / qualifier
 
test:

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

\pdiff{\NVar{x}}
Property / Symbols used: partial differential of $$x$$ / qualifier
 
xml-id: C1.S5.E3.m2adec
Property / Symbols used
 
Property / Symbols used: Q12742 / rank
 
Normal rank
Property / Symbols used: Q12742 / qualifier
 
test:

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

t
Property / Symbols used: Q12742 / qualifier
 
xml-id: C36.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12743 / rank
 
Normal rank
Property / Symbols used: Q12743 / qualifier
 
test:

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

K
Property / Symbols used: Q12743 / qualifier
 
xml-id: C36.S1.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: Q12751 / rank
 
Normal rank
Property / Symbols used: Q12751 / qualifier
 
test:

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

t_{j}(\mathbf{x})
Property / Symbols used: Q12751 / qualifier
 
xml-id: C36.S4.XMD1.m1adec

Latest revision as of 15:17, 2 January 2020

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DLMF:36.11.E2
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \canonint{K}@{\mathbf{x}}=\sqrt{2\pi}\sum\limits_{j=1}^{j_{\max}(\mathbf{x})}\exp@{i\left(\cuspcatastrophe{K}@{t_{j}(\mathbf{x})}{\mathbf{x}}+\tfrac{1}{4}\pi(-1)^{j+K+1}\right)}\left|\pderiv[2]{\cuspcatastrophe{K}@{t_{j}(\mathbf{x})}{\mathbf{x}}}{t}\right|^{-1/2}(1+\littleo@{1}).}
    0 references
    DLMF id
    DLMF:36.11.E2
    0 references
    Symbols used
    canonical integral function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \canonint{\NVar{K}}@{\NVar{\mathbf{x}}}}
    xml-id
    C36.S2.E4.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2adec
    0 references
    cuspoid catastrophe of codimension $$K$$
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cuspcatastrophe{\NVar{K}}@{\NVar{t}}{\NVar{\mathbf{x}}}}
    xml-id
    C36.S2.E1.m2adec
    0 references
    exponential function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    imaginary unit
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2adec
    0 references
    order less than
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \littleo@{\NVar{x}}}
    xml-id
    C2.S1.E2.m2adec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pderiv{\NVar{f}}{\NVar{x}}}
    xml-id
    C1.S5.E3.m4adec
    0 references
    partial differential of $$x$$
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pdiff{\NVar{x}}}
    xml-id
    C1.S5.E3.m2adec
    0 references
    Q12742
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t}
    xml-id
    C36.S1.XMD5.m1dec
    0 references
    Q12743
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle K}
    xml-id
    C36.S1.XMD7.m1dec
    0 references
    Q12751
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t_{j}(\mathbf{x})}
    xml-id
    C36.S4.XMD1.m1adec
    0 references
     
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