DLMF:18.16.E3 (Q5726)

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DLMF:18.16.E3
No description defined

    Statements

    Defining formula
    ( m - 1 2 ) ⁢ π n ≤ θ n , m ≤ m ⁢ π n + 1 , 𝑚 1 2 𝜋 𝑛 subscript 𝜃 𝑛 𝑚 𝑚 𝜋 𝑛 1 {\displaystyle{\displaystyle\frac{(m-\tfrac{1}{2})\pi}{n}\leq\theta_{n,m}\leq% \frac{m\pi}{n+1},}}
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    DLMF id
    DLMF:18.16.E3
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    comment
    Warning: Falling back to standard tex;
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    constraint
    m = 1 , 2 , … , ⌊ 1 2 ⁢ n ⌋ 𝑚 1 2 … 1 2 𝑛 {\displaystyle{\displaystyle m=1,2,\dots,\left\lfloor\frac{1}{2}n\right\rfloor}}
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    α ∈ [ - 1 2 , 1 2 ] 𝛼 1 2 1 2 {\displaystyle{\displaystyle\alpha\in[-\tfrac{1}{2},\tfrac{1}{2}]}}
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    m = 1 , 2 , … , ⌊ 1 2 ⁢ n ⌋ 𝑚 1 2 … 1 2 𝑛 {\displaystyle{\displaystyle m=1,2,\dots,\left\lfloor\frac{1}{2}n\right\rfloor}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
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    Q10815
    Defining formula
    [ a , b ] 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}}
    xml-id
    introduction.Sx4.p1.t1.r30.m6aadec
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    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aadec
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    Q11169
    Defining formula
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4adec
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    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1adec
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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1bdec
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    Q11760
    Defining formula
    θ n , m subscript 𝜃 𝑛 𝑚 {\displaystyle{\displaystyle\theta_{n,m}}}
    xml-id
    C18.S16.XMD1.m1bdec
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