2005Shuxue de shijian yu renshiRequires access

Spline Function in Power Exponent Form

Yan Ning-sheng

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Abstract

In this paper the concept of linear expression in power exponent form is proposed,it has been proved that the sequence function 1,x,x~2,...,x~n,x-x_1~n_+,x-x_2~n_+,...,x-x_N~n_+ be the base in power exponent form of S_n(x_1,x_2,...,x_N).One example using spline function in power exponent form is given.

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What this paper is about

In this paper the concept of linear expression in power exponent form is proposed,it has been proved that the sequence function 1,x,x~2,...,x~n,x-x_1~n_+,x-x_2~n_+,...,x-x_N~n_+ be the base in power exponent form of S_n(x_1,x_2,...,x_N).One example using spline function in power exponent form is given.

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Available abstract

In this paper the concept of linear expression in power exponent form is proposed,it has been proved that the sequence function 1,x,x~2,...,x~n,x-x_1~n_+,x-x_2~n_+,...,x-x_N~n_+ be the base in power exponent form of S_n(x_1,x_2,...,x_N).One example using spline function in power exponent form is given.

Key concepts: Exponent, Power function, Mathematics, Function (biology), Combinatorics, Power (physics), Spline (mechanical), Mathematical analysis

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