# Differences

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 background_polynomial [2011/08/25 07:36]alancoelho background_polynomial [2015/06/16 13:20]alancoelho Both sides previous revision Previous revision 2015/06/16 13:20 alancoelho 2011/08/25 19:12 alancoelho 2011/08/25 07:36 alancoelho 2011/08/25 07:31 alancoelho 2011/08/25 07:28 alancoelho 2011/01/07 14:20 johnsoevans created Next revision Previous revision 2015/06/16 13:20 alancoelho 2011/08/25 19:12 alancoelho 2011/08/25 07:36 alancoelho 2011/08/25 07:31 alancoelho 2011/08/25 07:28 alancoelho 2011/01/07 14:20 johnsoevans created Line 1: Line 1: ====== Background Polynomial ====== ====== Background Polynomial ====== - Chebyshev polynomials of the first kind as described at http://​mathworld.wolfram.com/​ChebyshevPolynomialoftheFirstKind.html is used by default in Topas. The recurrences relations of Eq. (26) can be used with the x axis normalized ​to be between -1 and 1. + Chebyshev polynomials of the first kind as described at http://​mathworld.wolfram.com/​ChebyshevPolynomialoftheFirstKind.html is used by default in Topas. The recurrences relations of Eq. (26) can be used with the x axis normalized between -1 and 1. A Chebychev Polynomial, say order 5, written as: A Chebychev Polynomial, say order 5, written as: Line 36: Line 36: Note that X1 and X2 are reserved parameter names that correspond to the start and end of the x-axis. Note that X1 and X2 are reserved parameter names that correspond to the start and end of the x-axis. + + --- //​[[alan.coelho@bigpond.com|Alan Coelho]] 2011/08/25 19:12//