DLMF:30.5.E4 (Q8857): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
(8 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10865 / rank
 
Normal rank
Property / Symbols used: Q10865 / qualifier
 
Defining formula:

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

\Wronskian
Property / Symbols used: Q10865 / qualifier
 
xml-id: C1.S13.Px2.p1.m3adec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

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

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
Property / Symbols used
 
Property / Symbols used: Q12418 / rank
 
Normal rank
Property / Symbols used: Q12418 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphwavePsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}}

\sphwavePsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}
Property / Symbols used: Q12418 / qualifier
 
xml-id: C30.S4.SS1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12421 / rank
 
Normal rank
Property / Symbols used: Q12421 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphwaveQsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}}

\sphwaveQsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}
Property / Symbols used: Q12421 / qualifier
 
xml-id: C30.S5.m1acdec
Property / Symbols used
 
Property / Symbols used: Q12419 / rank
 
Normal rank
Property / Symbols used: Q12419 / qualifier
 
Defining formula:

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

x
Property / Symbols used: Q12419 / qualifier
 
xml-id: C30.S1.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12408 / rank
 
Normal rank
Property / Symbols used: Q12408 / qualifier
 
Defining formula:

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

m
Property / Symbols used: Q12408 / qualifier
 
xml-id: C30.S1.XMD4.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12409 / rank
 
Normal rank
Property / Symbols used: Q12409 / qualifier
 
Defining formula:

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

n\geq m
Property / Symbols used: Q12409 / qualifier
 
xml-id: C30.S1.XMD5.m1cdec
Property / Symbols used
 
Property / Symbols used: DLMF:30.11.E4 / rank
 
Normal rank
Property / Symbols used: DLMF:30.11.E4 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}

A_{n}^{m}(\gamma^{2})
Property / Symbols used: DLMF:30.11.E4 / qualifier
 
xml-id: C30.S11.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12404 / rank
 
Normal rank
Property / Symbols used: Q12404 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}

\gamma^{2}
Property / Symbols used: Q12404 / qualifier
 
xml-id: C30.S2.XMD3.m1bdec

Latest revision as of 01:44, 2 January 2020

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DLMF:30.5.E4
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian@{\sphwavePsreal{m}{n}@{x}{\gamma^{2}},\sphwaveQsreal{m}{n}@{x}{\gamma^{2}}}=\frac{(n+m)!}{(1-x^{2})(n-m)!}A_{n}^{m}(\gamma^{2})A_{n}^{-m}(\gamma^{2})\quad(\neq 0),}
    0 references
    DLMF:30.5.E4
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Wronskian}
    C1.S13.Px2.p1.m3adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphwavePsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}}
    C30.S4.SS1.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sphwaveQsreal{\NVar{m}}{\NVar{n}}@{\NVar{x}}{\NVar{\gamma^{2}}}}
    C30.S5.m1acdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
    C30.S1.XMD2.m1cdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    C30.S1.XMD4.m1cdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n\geq m}
    C30.S1.XMD5.m1cdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{n}^{m}(\gamma^{2})}
    C30.S11.XMD5.m1dec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma^{2}}
    C30.S2.XMD3.m1bdec
    0 references