DLMF:18.16.E4 (Q5727): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(4 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11730 / rank
 
Normal rank
Property / Symbols used: Q11730 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11730 / qualifier
 
xml-id: C18.S1.XMD5.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1cdec
Property / Symbols used
 
Property / Symbols used: DLMF:18.15.E5 / rank
 
Normal rank
Property / Symbols used: DLMF:18.15.E5 / qualifier
 
Defining formula:

ρ 𝜌 {\displaystyle{\displaystyle\rho}}

\rho
Property / Symbols used: DLMF:18.15.E5 / qualifier
 
xml-id: C18.S15.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q11760 / rank
 
Normal rank
Property / Symbols used: Q11760 / qualifier
 
Defining formula:

θ n , m subscript 𝜃 𝑛 𝑚 {\displaystyle{\displaystyle\theta_{n,m}}}

\theta_{n,m}
Property / Symbols used: Q11760 / qualifier
 
xml-id: C18.S16.XMD1.m1cdec

Latest revision as of 15:41, 2 January 2020

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DLMF:18.16.E4
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    Statements

    ( m + 1 2 ( α + β - 1 ) ) π ρ < θ n , m < m π ρ , 𝑚 1 2 𝛼 𝛽 1 𝜋 𝜌 subscript 𝜃 𝑛 𝑚 𝑚 𝜋 𝜌 {\displaystyle{\displaystyle{\frac{\left(m+\tfrac{1}{2}(\alpha+\beta-1)\right)% \pi}{\rho}<\theta_{n,m}<\frac{m\pi}{\rho}},}}
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    DLMF:18.16.E4
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    Warning: Falling back to standard tex;
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    α , β [ - 1 2 , 1 2 ] 𝛼 𝛽 1 2 1 2 {\displaystyle{\displaystyle\alpha,\beta\in[-\tfrac{1}{2},\tfrac{1}{2}]}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
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    [ a , b ] 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}}
    introduction.Sx4.p1.t1.r30.m6abdec
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    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2abdec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C18.S1.XMD5.m1bdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1cdec
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    ρ 𝜌 {\displaystyle{\displaystyle\rho}}
    C18.S15.XMD4.m1dec
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    θ n , m subscript 𝜃 𝑛 𝑚 {\displaystyle{\displaystyle\theta_{n,m}}}
    C18.S16.XMD1.m1cdec
    0 references