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background_polynomial [2011/08/25 07:36] alancoelho |
background_polynomial [2020/07/16 11:29] (current) |
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====== 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: | ||

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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. | ||

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+ | --- //[[alan.coelho@bigpond.com|Alan Coelho]] 2011/08/25 19:12// | ||