DLMF:1.6.E22 (Q203): Difference between revisions

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‎Created a new Item: Wikidata Toolkit example test item creation
 
‎Changed an Item: Add constraint
 
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Property / Symbols defined
 
Property / Symbols defined: of vector-valued function / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10765 / rank
 
Normal rank
Property / Symbols used: Q10765 / qualifier
 
Defining formula:

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

\det
Property / Symbols used: Q10765 / qualifier
 
xml-id: C1.S3.SS1.m1aadec
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.m4acdec
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.m2acdec
Property / Symbols used
 
Property / Symbols used: Q10760 / rank
 
Normal rank
Property / Symbols used: Q10760 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q10760 / qualifier
 
xml-id: C1.S1.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10791 / rank
 
Normal rank
Property / Symbols used: Q10791 / qualifier
 
Defining formula:

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

\mathbf{i}
Property / Symbols used: Q10791 / qualifier
 
xml-id: C1.S6.XMD2.m1gdec
Property / Symbols used
 
Property / Symbols used: Q10792 / rank
 
Normal rank
Property / Symbols used: Q10792 / qualifier
 
Defining formula:

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

\mathbf{j}
Property / Symbols used: Q10792 / qualifier
 
xml-id: C1.S6.XMD3.m1gdec
Property / Symbols used
 
Property / Symbols used: Q10793 / rank
 
Normal rank
Property / Symbols used: Q10793 / qualifier
 
Defining formula:

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

\mathbf{k}
Property / Symbols used: Q10793 / qualifier
 
xml-id: C1.S6.XMD4.m1gdec
Property / Symbols used
 
Property / Symbols used: Q10795 / rank
 
Normal rank
Property / Symbols used: Q10795 / qualifier
 
Defining formula:

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

F_{j}
Property / Symbols used: Q10795 / qualifier
 
xml-id: C1.S6.XMD6.m1adec

Latest revision as of 15:58, 1 January 2020

No description defined
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DLMF:1.6.E22
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \curl\mathbf{F}=\nabla\times\mathbf{F}=\begin{vmatrix}\mathbf{i}&\mathbf{j}&\mathbf{k}\\ \displaystyle{\pderiv{}{x}}&\displaystyle{\pderiv{}{y}}&\displaystyle{\pderiv{}{z}}\\ F_{1}&F_{2}&F_{3}\end{vmatrix}\\ =\left(\pderiv{F_{3}}{y}-\pderiv{F_{2}}{z}\right)\mathbf{i}+\left(\pderiv{F_{1}}{z}-\pderiv{F_{3}}{x}\right)\mathbf{j}+\left(\pderiv{F_{2}}{x}-\pderiv{F_{1}}{y}\right)\mathbf{k}.}
    0 references
    DLMF id
    DLMF:1.6.E22
    0 references
    Symbols used
    Q10765
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \det}
    xml-id
    C1.S3.SS1.m1aadec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    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.m4acdec
    0 references
    partial differential of $$x$$
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pdiff{\NVar{x}}}
    xml-id
    C1.S5.E3.m2acdec
    0 references
    Q10760
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C1.S1.XMD1.m1cdec
    0 references
    Q10791
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{i}}
    xml-id
    C1.S6.XMD2.m1gdec
    0 references
    Q10792
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{j}}
    xml-id
    C1.S6.XMD3.m1gdec
    0 references
    Q10793
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{k}}
    xml-id
    C1.S6.XMD4.m1gdec
    0 references
    Q10795
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle F_{j}}
    xml-id
    C1.S6.XMD6.m1adec
    0 references
     
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