DLMF:28.22.E4 (Q8369): 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 used
 
Property / Symbols used: Q12286 / rank
 
Normal rank
Property / Symbols used: Q12286 / qualifier
 
Defining formula:

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

\Mathieuse{\NVar{n}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: Q12286 / qualifier
 
xml-id: C28.S2.SS6.p1.m8aadec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

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

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2acdec
Property / Symbols used
 
Property / Symbols used: modified Mathieu function / rank
 
Normal rank
Property / Symbols used: modified Mathieu function / qualifier
 
Defining formula:

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

\modMathieuGe{\NVar{n}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: modified Mathieu function / qualifier
 
xml-id: C28.S20.E7.m2adec
Property / Symbols used
 
Property / Symbols used: radial Mathieu function / rank
 
Normal rank
Property / Symbols used: radial Mathieu function / qualifier
 
Defining formula:

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

\radMathieuMs{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}
Property / Symbols used: radial Mathieu function / qualifier
 
xml-id: C28.S20.E16.m2aadec
Property / Symbols used
 
Property / Symbols used: modified Mathieu function / rank
 
Normal rank
Property / Symbols used: modified Mathieu function / qualifier
 
Defining formula:

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

\modMathieuSe{\NVar{\nu}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: modified Mathieu function / qualifier
 
xml-id: C28.S20.E4.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12284 / rank
 
Normal rank
Property / Symbols used: Q12284 / qualifier
 
Defining formula:

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

m
Property / Symbols used: Q12284 / qualifier
 
xml-id: C28.S1.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12294 / rank
 
Normal rank
Property / Symbols used: Q12294 / qualifier
 
Defining formula:

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

h
Property / Symbols used: Q12294 / qualifier
 
xml-id: C28.S1.XMD11.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12302 / rank
 
Normal rank
Property / Symbols used: Q12302 / qualifier
 
Defining formula:

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

g_{\mathit{e},n}(h)
Property / Symbols used: Q12302 / qualifier
 
xml-id: C28.S22.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12303 / rank
 
Normal rank
Property / Symbols used: Q12303 / qualifier
 
Defining formula:

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

f_{\mathit{e},n}(h)
Property / Symbols used: Q12303 / qualifier
 
xml-id: C28.S22.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12290 / rank
 
Normal rank
Property / Symbols used: Q12290 / qualifier
 
Defining formula:

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

S_{n}(q)
Property / Symbols used: Q12290 / qualifier
 
xml-id: C28.S5.XMD4.m1dec

Latest revision as of 15:04, 2 January 2020

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DLMF:28.22.E4
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMs{2}{m}@{z}{h}=\sqrt{\frac{2}{\pi}}\dfrac{1}{g_{\mathit{o},m}(h)\Mathieuse{m}'@{0}{h^{2}}}\*\left(-f_{\mathit{o},m}(h)\modMathieuSe{m}@{z}{h^{2}}-\dfrac{2}{\pi S_{m}(h^{2})}\modMathieuGe{m}@{z}{h^{2}}\right).}
    0 references
    DLMF id
    DLMF:28.22.E4
    0 references
    Symbols used
    Q12286
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieuse{\NVar{n}}@{\NVar{z}}{\NVar{q}}}
    xml-id
    C28.S2.SS6.p1.m8aadec
    0 references
    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.m2acdec
    0 references
    modified Mathieu function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modMathieuGe{\NVar{n}}@{\NVar{z}}{\NVar{q}}}
    xml-id
    C28.S20.E7.m2adec
    0 references
    radial Mathieu function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMs{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}
    xml-id
    C28.S20.E16.m2aadec
    0 references
    modified Mathieu function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modMathieuSe{\NVar{\nu}}@{\NVar{z}}{\NVar{q}}}
    xml-id
    C28.S20.E4.m2aadec
    0 references
    Q12284
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C28.S1.XMD1.m1cdec
    0 references
    Q12294
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
    xml-id
    C28.S1.XMD11.m1cdec
    0 references
    Q12272
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C28.S1.XMD6.m1cdec
    0 references
    Q12302
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle g_{\mathit{e},n}(h)}
    xml-id
    C28.S22.XMD1.m1cdec
    0 references
    Q12303
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle f_{\mathit{e},n}(h)}
    xml-id
    C28.S22.XMD2.m1adec
    0 references
    Q12290
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle S_{n}(q)}
    xml-id
    C28.S5.XMD4.m1dec
    0 references
     
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