DLMF:36.12.E10 (Q10002): Difference between revisions

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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.m1adec
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.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12759 / rank
 
Normal rank
Property / Symbols used: Q12759 / qualifier
 
test:

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

g(u,\mathbf{y})
Property / Symbols used: Q12759 / qualifier
 
xml-id: C36.S12.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12760 / rank
 
Normal rank
Property / Symbols used: Q12760 / qualifier
 
test:

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

f(u,\mathbf{y})
Property / Symbols used: Q12760 / qualifier
 
xml-id: C36.S12.XMD3.m1edec
Property / Symbols used
 
Property / Symbols used: mapping (locally) / rank
 
Normal rank
Property / Symbols used: mapping (locally) / qualifier
 
test:

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

u(t;\mathbf{y})
Property / Symbols used: mapping (locally) / qualifier
 
xml-id: C36.S12.XMD5.m1edec
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.m1cdec

Latest revision as of 15:20, 2 January 2020

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DLMF:36.12.E10
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle G_{n}(\mathbf{y})=g(t_{n}(\mathbf{y}),\mathbf{y})\sqrt{\frac{\ipderiv[2]{\cuspcatastrophe{K}@{t_{n}(\mathbf{x}(\mathbf{y}))}{\mathbf{x}(\mathbf{y})}}{t}}{\ipderiv[2]{f(u_{n}(\mathbf{y}))}{u}}}.}
    0 references
    DLMF id
    DLMF:36.12.E10
    0 references
    Symbols used
    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.m2abdec
    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.m4abdec
    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.m2abdec
    0 references
    Q12755
    test
    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
    Q12742
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t}
    xml-id
    C36.S1.XMD5.m1adec
    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.m1fdec
    0 references
    Q12759
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle g(u,\mathbf{y})}
    xml-id
    C36.S12.XMD2.m1adec
    0 references
    Q12760
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle f(u,\mathbf{y})}
    xml-id
    C36.S12.XMD3.m1edec
    0 references
    mapping (locally)
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle u(t;\mathbf{y})}
    xml-id
    C36.S12.XMD5.m1edec
    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.m1cdec
    0 references
     
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