Changes between Version 7 and Version 8 of doc/maths/remez
 Timestamp:
 Dec 29, 2011, 5:44:36 PM (11 years ago)
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doc/maths/remez
v7 v8 4 4 '''TL;DR:''' this toolbox helps find CPUfriendly approximations to complicated functions. 5 5 6 The Remez exchange algorithm is a fast method for approximating functions in a Chebyshev space. This sounds dull, but you don’t need to know what a Chebyshev space is. The Lol Engine provides its own implementation of the Remez exchange algorithm to find '''polynomial approximations to real functions'''. Such polynomials are also known as minimax polynomials.6 The Remez exchange algorithm is a fast method for approximating functions in a Chebyshev space. More precisely, the Lol Engine provides its own implementation of the Remez exchange algorithm to find '''polynomial approximations to real functions'''. Such polynomials are also known as '''minimax polynomials'''. 7 7 8 8 == Example == … … 16 16 17 17 It is obvious that the polynomial found using the Remez method is closer to the sine curve than the Taylor series of the same order, and still better than the Taylor series of the next order. If you want to approximate a function over an interval, Remez is always better. If you want to convince people that it is, please refer them to [blog:2011/12/21/betterfunctionapproximations this blog article]. 18 19 == Download ==20 21 AVAILABLE SOON22 18 23 19 == Prerequisites ==