On a new characterization of finite jump discontinuities and its application to vertical fault detection

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• 作者：Marí ; a Cruz Ló ; pez de Silanes ; Marí ; a Cruz Parra ; Juan José ; Torrens
• 关键词：Vertical fault ; Explicit surfaces ; Discontinuous functions ; Finite jump discontinuity
• 刊名：Mathematics and Computers in Simulation
• 出版年：2008
• 出版时间：7 March 2008
• 年：2008
• 卷：77
• 期：2-3
• 页码：247-256
• 全文大小：548 K

文摘

The purpose of this paper is to give a new characterization of the finite jump discontinuities of multivariate functions, in terms of the divergence of sequences related to the gradients of discrete least-squares polynomial approximations of the function. We also consider how this result can be applied to vertical fault detection.