Gold 12

Chebyshev polynomials

Gold ID

12

Link

https://sigir21.wmflabs.org/wiki/Chebyshev_polynomials#math.62.44

Formula

$x_k=\cos \left(\frac{\pi (k+1/2)}{n}\right),k=0,\dots ,n-1$

TeX Source

x_k = \cos\left(\frac{\pi(k+1/2)}{n}\right),\quad k=0,\ldots,n-1

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Semantic LaTeX

Translation

x_k = \cos(\frac{\cpi(k + 1 / 2)}{n}) , \quad k = 0 , \ldots , n - 1

Expected (Gold Entry)

x_k = \cos(\frac{\cpi(k + 1 / 2)}{n}) , \quad k = 0 , \ldots , n - 1

Mathematica

Translation

Subscript[x, k] == Cos[Divide[Pi*(k + 1/2),n]]

Expected (Gold Entry)

Subscript[x, k] == Cos[Divide[Pi*(k + 1/2),n]]

Maple

Translation

x[k] = cos((Pi*(k + 1/2))/(n))

Expected (Gold Entry)

x[k] = cos((Pi*(k + 1/2))/(n))