Artificial intelligence

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Restoration of Discontinuous Functions by Discontinuous Approximational Splines with Use of Trapezes Elements

Lytvyn O.1, Pershyna Y.2
1 Ukrainian Engineering Pedagogics Academy
2 Ukrainian Engineering and Pedagogical Academy

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UDC: 519.6
Publication Language: Ukrainian
Stuc. intelekt. 2012; 17(1):49-59

Abstract: In the article it is constructed discontinuous approximational spline, which coefficients are found by the method of the least squares, for approach of function of two variables with a range of definition, which can be broken into rectangular trapezes. The offered method can be used for mathematical modelling of explosive processes in medical, geological, space and other researches.

Keywords: discontinuous function, discontinuous approximational spline, method of the least squares, tomography

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