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单词 Chebyshev polynomials
释义
Chebyshev polynomials

Mathematics
  • Polynomials Tn(x) and Un(x) which uniquely satisfy Tn(cosθ‎) = cosnθ‎ and Un(cosθ‎)sinθ‎ = sin(n + 1)θ‎ for all θ‎. They are orthogonal polynomials on the interval (–1,1) with weight functions w(x)=(1x2)1/2 and w(x)=(1x2)1/2 respectively.


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