Titlebook: Calculus and Analysis in Euclidean Space; Jerry Shurman Textbook 2016 Springer International Publishing AG 2016 derivative.implicit functi

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Lecture Notes in Computer Sciencenvertible mapping. Equivalently, the implicit function theorem states that under some conditions, a set of constraints on a set of variables locally specifies some of the variables as functions of the others. The Lagrange multiplier condition follows, giving a method to solve optimization problems w

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Jinjie Chen,Yuzhuo Fu,YiBo Jin,Ting Liu characterized by three properties that have immediate, significant consequences. The magnitude and the sign of the determinant are shown to describe how a linear mapping magnifies volume, and whether it preserves or reverses orientation.

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Fast Color Quantization via Fuzzy ClusteringThis chapter gives a quick review of the real number system and of the foundational and basic theorems of one-variable calculus, and then it proceeds to a more extensive discussion of Taylor’s theorem.

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Back-Propagation Neural NetworksThis chapter introduces parametrized curves and discusses their local theory.