DLMF:36.11.E2 (Q9985): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(4 intermediate revisions by the same user not shown) | |||
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 | |||
Defining formula: 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 | |||
Defining formula: 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 | |||
Defining formula: 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 | |||
Defining formula: 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 | |||
Defining formula: 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
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:36.11.E2 |
No description defined |
Statements
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:36.11.E2
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.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cuspcatastrophe{\NVar{K}}@{\NVar{t}}{\NVar{\mathbf{x}}}}
C36.S2.E1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}
C4.S2.E19.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \littleo@{\NVar{x}}}
C2.S1.E2.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pderiv{\NVar{f}}{\NVar{x}}}
C1.S5.E3.m4adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pdiff{\NVar{x}}}
C1.S5.E3.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t}
C36.S1.XMD5.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle K}
C36.S1.XMD7.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t_{j}(\mathbf{x})}
C36.S4.XMD1.m1adec
0 references