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Formula:6423

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Digital Library of Mathematical Functions ID 18.16.E3

( 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},}}


Constraint(s)

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}}
α ∈ [ - 1 2 , 1 2 ] 𝛼 1 2 1 2 {\displaystyle{\displaystyle\alpha\in[-\tfrac{1}{2},\tfrac{1}{2}]}}
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}}

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • [ a , b ] 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}} :
  • ∈ {\displaystyle{\displaystyle\in}} :
  • ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}} :
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • θ n , m subscript 𝜃 𝑛 𝑚 {\displaystyle{\displaystyle\theta_{n,m}}} : zeros
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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