DLMF:18.16.E5 (Q5728)

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DLMF:18.16.E5
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    Statements

    Defining formula
    θ n , m > ( m + 1 2 ⁢ α - 1 4 ) ⁢ π n + α + 1 2 , subscript 𝜃 𝑛 𝑚 𝑚 1 2 𝛼 1 4 𝜋 𝑛 𝛼 1 2 {\displaystyle{\displaystyle\theta_{n,m}>\frac{\left(m+\tfrac{1}{2}\alpha-% \tfrac{1}{4}\right){\pi}}{n+\alpha+\tfrac{1}{2}},}}
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    DLMF id
    DLMF:18.16.E5
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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\tfrac{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\tfrac{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.m2addec
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