DLMF:9.13.E18 (Q2981): Difference between revisions

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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
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2ahdec
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2addec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

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

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11419 / rank
 
Normal rank
Property / Symbols used: Q11419 / qualifier
 
test:

U i subscript 𝑈 𝑖 {\displaystyle{\displaystyle U_{i}}}

U_{i}
Property / Symbols used: Q11419 / qualifier
 
xml-id: C9.S13.XMD12.m1bdec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
test:

w 𝑤 {\displaystyle{\displaystyle w}}

w
Property / Symbols used: function (locally) / qualifier
 
xml-id: C9.S13.XMD2.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11418 / rank
 
Normal rank
Property / Symbols used: Q11418 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11418 / qualifier
 
xml-id: C9.S13.XMD5.m1edec
Property / Symbols used
 
Property / Symbols used: Q11421 / rank
 
Normal rank
Property / Symbols used: Q11421 / qualifier
 
test:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q11421 / qualifier
 
xml-id: C9.S13.XMD9.m1dec

Latest revision as of 14:01, 2 January 2020

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DLMF:9.13.E18
No description defined

    Statements

    test
    w = U m ⁢ ( t ⁢ e - 2 ⁢ j ⁢ π ⁢ i / m ) , 𝑤 subscript 𝑈 𝑚 𝑡 superscript 𝑒 2 𝑗 𝜋 𝑖 𝑚 {\displaystyle{\displaystyle w=U_{m}(te^{-2j\pi i/m}),}}
    0 references
    DLMF id
    DLMF:9.13.E18
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    j = 0 , ± 1 , ± 2 , … . 𝑗 0 plus-or-minus 1 plus-or-minus 2 … {\displaystyle{\displaystyle j=0,\pm 1,\pm 2,\ldots.}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ahdec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2addec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q11419
    test
    U i subscript 𝑈 𝑖 {\displaystyle{\displaystyle U_{i}}}
    xml-id
    C9.S13.XMD12.m1bdec
    0 references
    function (locally)
    test
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C9.S13.XMD2.m1ddec
    0 references
    Q11418
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C9.S13.XMD5.m1edec
    0 references
    Q11421
    test
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C9.S13.XMD9.m1dec
    0 references
     
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