DLMF:28.2.E18 (Q8161): 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: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aadec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12279 / rank
 
Normal rank
Property / Symbols used: Q12279 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12279 / qualifier
 
xml-id: C28.S1.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12278 / rank
 
Normal rank
Property / Symbols used: Q12278 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12278 / qualifier
 
xml-id: C28.S1.XMD7.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12274 / rank
 
Normal rank
Property / Symbols used: Q12274 / qualifier
 
Defining formula:

w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}

w(z)
Property / Symbols used: Q12274 / qualifier
 
xml-id: C28.S2.XMD1.m1ndec
Property / Symbols used
 
Property / Symbols used: Q12280 / rank
 
Normal rank
Property / Symbols used: Q12280 / qualifier
 
Defining formula:

c 2 n subscript 𝑐 2 𝑛 {\displaystyle{\displaystyle c_{2n}}}

c_{2n}
Property / Symbols used: Q12280 / qualifier
 
xml-id: C28.S2.XMD5.m1dec

Latest revision as of 14:35, 2 January 2020

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DLMF:28.2.E18
No description defined

    Statements

    w ( z ) = n = - c 2 n e i ( ν + 2 n ) z 𝑤 𝑧 superscript subscript 𝑛 subscript 𝑐 2 𝑛 superscript 𝑒 imaginary-unit 𝜈 2 𝑛 𝑧 {\displaystyle{\displaystyle w(z)=\sum_{n=-\infty}^{\infty}c_{2n}e^{\mathrm{i}% (\nu+2n)z}}}
    0 references
    DLMF:28.2.E18
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aadec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aadec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C28.S1.XMD2.m1dec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1fdec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C28.S1.XMD7.m1cdec
    0 references
    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C28.S2.XMD1.m1ndec
    0 references
    c 2 n subscript 𝑐 2 𝑛 {\displaystyle{\displaystyle c_{2n}}}
    C28.S2.XMD5.m1dec
    0 references