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4.5

4.5 - Numerical Analysis written by Soyoung Ahn 2010 4 For...

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Unformatted text preview: Numerical Analysis written by Soyoung Ahn, 2010 4 For an integer  ≥  , Chebyshev Polynomial     cos   cos        ≤  ≤  ⇒ 1. It is a polynomial of degree  . 2.      ≤        ,           3. the coefficient of        4.5. Chebyshev Polynomials pf > cos      ⇒   cos    ≤  ≤  ⇒     cos                 cos       cos    cos                  sin  에 대하여,        cos     sin    cos    sin    ⇒      sin     sin    즉,    는   sin    의 실수부이다.   sin                  sin    이므로 실수부는  가 짝수 (        ⋯ )일 때다. sin     cos   을 이용하자. 실수부 =     sin                           where    or       ⋯ 이다. 따라서    은 polynomial of degree  이고 최고차항   의 계수는              where   ...
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4.5 - Numerical Analysis written by Soyoung Ahn 2010 4 For...

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