DLMF:12.14.E35 (Q4277): 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: Q10931 / rank
 
Normal rank
Property / Symbols used: Q10931 / qualifier
 
Defining formula:

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

\asympexp
Property / Symbols used: Q10931 / qualifier
 
xml-id: C2.S1.SS3.p1.m11ajdec
Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
Defining formula:

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

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2aedec
Property / Symbols used
 
Property / Symbols used: Q11543 / rank
 
Normal rank
Property / Symbols used: Q11543 / qualifier
 
Defining formula:

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

\paraW@{\NVar{a}}{\NVar{x}}
Property / Symbols used: Q11543 / qualifier
 
xml-id: C12.S14.SS1.p1.m1asdec
Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
Defining formula:

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

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2aedec
Property / Symbols used
 
Property / Symbols used: Q11526 / rank
 
Normal rank
Property / Symbols used: Q11526 / qualifier
 
Defining formula:

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

s
Property / Symbols used: Q11526 / qualifier
 
xml-id: C12.S1.XMD5.m1hdec
Property / Symbols used
 
Property / Symbols used: solution (locally) / rank
 
Normal rank
Property / Symbols used: solution (locally) / qualifier
 
Defining formula:

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

\overline{v}_{s}(t)
Property / Symbols used: solution (locally) / qualifier
 
xml-id: C12.S10.XMD18.m1dec
Property / Symbols used
 
Property / Symbols used: DLMF:12.14.E27 / rank
 
Normal rank
Property / Symbols used: DLMF:12.14.E27 / qualifier
 
Defining formula:

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

\sigma
Property / Symbols used: DLMF:12.14.E27 / qualifier
 
xml-id: C12.S14.XMD12.m1ddec
Property / Symbols used
 
Property / Symbols used: DLMF:12.14.E28 / rank
 
Normal rank
Property / Symbols used: DLMF:12.14.E28 / qualifier
 
Defining formula:

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

l(\mu)
Property / Symbols used: DLMF:12.14.E28 / qualifier
 
xml-id: C12.S14.XMD13.m1hdec
Property / Symbols used
 
Property / Symbols used: DLMF:12.14.E36 / rank
 
Normal rank
Property / Symbols used: DLMF:12.14.E36 / qualifier
 
Defining formula:

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

\overline{\sigma}
Property / Symbols used: DLMF:12.14.E36 / qualifier
 
xml-id: C12.S14.XMD15.m1adec

Latest revision as of 15:33, 2 January 2020

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DLMF:12.14.E35
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraW'@{-\tfrac{1}{2}\mu^{2}}{\mu t\sqrt{2}}\asympexp-\frac{\mu}{\sqrt{2}}l(\mu)(t^{2}+1)^{\frac{1}{4}}\left(\sin@@{\overline{\sigma}}\sum_{s=0}^{\infty}\frac{(-1)^{s}\overline{v}_{2s}(t)}{(t^{2}+1)^{3s}\mu^{4s}}+\cos@@{\overline{\sigma}}\sum_{s=0}^{\infty}\frac{(-1)^{s}\overline{v}_{2s+1}(t)}{(t^{2}+1)^{3s+\frac{3}{2}}\mu^{4s+2}}\right),}
    0 references
    DLMF id
    DLMF:12.14.E35
    0 references
    Symbols used
    Q10931
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}
    xml-id
    C2.S1.SS3.p1.m11ajdec
    0 references
    cosine function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    xml-id
    C4.S14.E2.m2aedec
    0 references
    Q11543
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraW@{\NVar{a}}{\NVar{x}}}
    xml-id
    C12.S14.SS1.p1.m1asdec
    0 references
    sine function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    xml-id
    C4.S14.E1.m2aedec
    0 references
    Q11526
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}
    xml-id
    C12.S1.XMD5.m1hdec
    0 references
    solution (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \overline{v}_{s}(t)}
    xml-id
    C12.S10.XMD18.m1dec
    0 references
    DLMF:12.14.E27
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sigma}
    xml-id
    C12.S14.XMD12.m1ddec
    0 references
    DLMF:12.14.E28
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle l(\mu)}
    xml-id
    C12.S14.XMD13.m1hdec
    0 references
    DLMF:12.14.E36
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \overline{\sigma}}
    xml-id
    C12.S14.XMD15.m1adec
    0 references
     
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