DLMF:1.16.E34 (Q638): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2abdec
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.m2addec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

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

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aedec
Property / Symbols used
 
Property / Symbols used: Q10812 / rank
 
Normal rank
Property / Symbols used: Q10812 / qualifier
 
Defining formula:

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

\Reals
Property / Symbols used: Q10812 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r14.m2aedec
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
Defining formula:

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

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1pdec
Property / Symbols used
 
Property / Symbols used: Q10912 / rank
 
Normal rank
Property / Symbols used: Q10912 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x_{1},x_{2},\dots,x_{n})}

\phi(x_{1},x_{2},\dots,x_{n})
Property / Symbols used: Q10912 / qualifier
 
xml-id: C1.S16.XMD13.m1edec
Property / Symbols used
 
Property / Symbols used: Fourier transform of a test function (locally) / rank
 
Normal rank
Property / Symbols used: Fourier transform of a test function (locally) / qualifier
 
Defining formula:

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

\mathscr{F}(\phi)
Property / Symbols used: Fourier transform of a test function (locally) / qualifier
 
xml-id: C1.S16.XMD15.m1bdec
Property / Symbols used
 
Property / Symbols used: vector differential operator (locally) / rank
 
Normal rank
Property / Symbols used: vector differential operator (locally) / qualifier
 
Defining formula:

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

\mathbf{D}
Property / Symbols used: vector differential operator (locally) / qualifier
 
xml-id: C1.S16.XMD16.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10913 / rank
 
Normal rank
Property / Symbols used: Q10913 / qualifier
 
Defining formula:

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

P
Property / Symbols used: Q10913 / qualifier
 
xml-id: C1.S16.XMD17.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10909 / rank
 
Normal rank
Property / Symbols used: Q10909 / qualifier
 
Defining formula:

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

Df
Property / Symbols used: Q10909 / qualifier
 
xml-id: C1.S16.XMD6.m1jdec

Latest revision as of 16:39, 1 January 2020

No description defined
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English
DLMF:1.16.E34
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathscr{F}(P\phi)(\mathbf{x})=P(\mathbf{D})\mathscr{F}\phi(\mathbf{x}).}
    0 references
    DLMF id
    DLMF:1.16.E34
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2abdec
    0 references
    Q10770
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aedec
    0 references
    base of natural logarithm
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
    xml-id
    C4.S2.E11.m2abdec
    0 references
    imaginary unit
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2addec
    0 references
    Q10771
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
    xml-id
    C1.S4.SS4.m3aedec
    0 references
    Q10812
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Reals}
    xml-id
    introduction.Sx4.p2.t1.r14.m2aedec
    0 references
    Q10757
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C1.S1.XMD7.m1pdec
    0 references
    Q10912
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x_{1},x_{2},\dots,x_{n})}
    xml-id
    C1.S16.XMD13.m1edec
    0 references
    Fourier transform of a test function (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathscr{F}(\phi)}
    xml-id
    C1.S16.XMD15.m1bdec
    0 references
    vector differential operator (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathbf{D}}
    xml-id
    C1.S16.XMD16.m1cdec
    0 references
    Q10913
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle P}
    xml-id
    C1.S16.XMD17.m1cdec
    0 references
    Q10909
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle Df}
    xml-id
    C1.S16.XMD6.m1jdec
    0 references
     
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