Weiping Li

Lei Wang

Wanling Gao

Kai Hwang

Zhigang Qiu

Changyun Wang

Aoying Zhou

Weining Qian

Cheqing Jin

Zhifei Zhang

This book constitutes the refereed post-conference proceedings of the Second BenchCouncil International Federated Intelligent Computing and Block Chain Conferences, FICC 2020, held in Qingdao, China, in October/ November 2020. The 32 full papers and 6 short papers presented were carefully reviewed and selected from 103 submissions. The papers of this volume are organized in topical sections on AI and medical technology; AI and big data; AI and block chain; AI and education technology; and AI and financial technology.

First BenchCouncil International Federated Conferences, FICC 2020, Qingdao, China, October 30 – November 3, 2020, Revised Selected Papers

Intelligent Computing and Block Chain

Jean-Jacques E. Slotine

In this work, the authors present a global perspective on the methods available for analysis and design of non-linear control systems and detail specific applications. They provide a tutorial exposition of the major non-linear systems analysis techniques followed by a discussion of available non-linear design methods.

Applied Nonlinear Control

The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson–Lin invariant via braid representations. With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems. Contents:Basic Knots, Links and Their EquivalencesBraids and LinksKnot and Link InvariantsJones PolynomialsCasson Type Invariants Readership: Undergraduate and graduate students interested in learning topology and low dimensional topology. Key Features:Applies a computational approach to understand knot invariants with geometric meaningsProvides a complete proof of Tait's conjectures from an original Jones polynomial definitionGives recent new knot invariants from the approach of algebraic geometry (characteristic variety)Readers will get a hands-on approach to the topological concepts and various invariant, instead of just knowing more fancy wordsKeywords:Knot Classifications;Tait Conjectures;Reidemeister Moves;Characterization of Braid Representation;Unknotting Number;Bridge Number;Linking Number;Crossing Number;Wirtinger Presentation;Magnus Representation;Twisted Alexander Polynomial;Hecke Algebra;Ocneanu Trace;Jones Polynomial;Kauffman Bracket;Casson Type Invariant

Lecture Notes on Knot Invariants

Weiping Li

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