DLMF:12.11.E1 (Q4217): 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.m2adec
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.m2adec
Property / Symbols used
 
Property / Symbols used: Q11513 / rank
 
Normal rank
Property / Symbols used: Q11513 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q11513 / qualifier
 
xml-id: C12.S1.XMD3.m1dec
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.m1dec
Property / Symbols used
 
Property / Symbols used: Q11516 / rank
 
Normal rank
Property / Symbols used: Q11516 / qualifier
 
Defining formula:

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

a
Property / Symbols used: Q11516 / qualifier
 
xml-id: C12.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: DLMF:12.11.E2 / rank
 
Normal rank
Property / Symbols used: DLMF:12.11.E2 / qualifier
 
Defining formula:

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

\tau_{s}
Property / Symbols used: DLMF:12.11.E2 / qualifier
 
xml-id: C12.S11.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: DLMF:12.11.E3 / rank
 
Normal rank
Property / Symbols used: DLMF:12.11.E3 / qualifier
 
Defining formula:

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

\lambda_{s}
Property / Symbols used: DLMF:12.11.E3 / qualifier
 
xml-id: C12.S11.XMD2.m1dec

Latest revision as of 15:23, 2 January 2020

No description defined
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English
DLMF:12.11.E1
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z_{a,s}=e^{\frac{3}{4}\pi i}\sqrt{2\tau_{s}}\left(1-\frac{ia\lambda_{s}}{2\tau_{s}}+\frac{2a^{2}\lambda_{s}^{2}-8a^{2}\lambda_{s}+4a^{2}+3}{16\tau_{s}^{2}}+\bigO@{\lambda_{s}^{3}\tau_{s}^{-3}}\right),}
    0 references
    DLMF id
    DLMF:12.11.E1
    0 references
    Symbols used
    order not exceeding
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
    xml-id
    C2.S1.E3.m2adec
    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.m2adec
    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.m2adec
    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.m2adec
    0 references
    Q11513
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C12.S1.XMD3.m1dec
    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.m1dec
    0 references
    Q11516
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C12.S1.XMD6.m1dec
    0 references
    DLMF:12.11.E2
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tau_{s}}
    xml-id
    C12.S11.XMD1.m1dec
    0 references
    DLMF:12.11.E3
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lambda_{s}}
    xml-id
    C12.S11.XMD2.m1dec
    0 references
     
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