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Physical Sciences and Mathematics

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University of Central Florida

Electronic Theses and Dissertations

Theses/Dissertations

2010

Approximation theory

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Detection And Approximation Of Function Of Two Variables In High Dimensions, Minzhe Pan Jan 2010

Detection And Approximation Of Function Of Two Variables In High Dimensions, Minzhe Pan

Electronic Theses and Dissertations

This thesis originates from the deterministic algorithm of DeVore, Petrova, and Wojtaszcsyk for the detection and approximation of functions of one variable in high dimensions. We propose a deterministic algorithm for the detection and approximation of function of two variables in high dimensions.