Sui Sun Cheng's Books

Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials

By: Sui Sun Cheng,Yi-Zhong Lin

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Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials

By: Sui Sun Cheng,Yi-Zhong Lin

Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation. In this book, we present a formal theory of the Chengndash;Lin envelope method, which is completely new, yet simple and precise. This method is both simple - since only basic Calculus concepts are needed for understanding - and precise, since necessary and sufficient conditions can be obtained for functions such as polynomials containing more than four parameters. Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus; to graduate students who want to do research in functional equations; and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations.

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Page Count

236

Publisher

World Scientific

Published Date

ISBN 10

9814277274

ISBN 13

9789814277273

Analytic Solutions of Functional Equations

By: Sui Sun Cheng,Wenrong Li

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Analytic Solutions of Functional Equations

By: Sui Sun Cheng,Wenrong Li

The purpose of this volume is to examine bio-informatics and quantum information, which are growing rapidly at present, and to attempt to connect the two, with a view to enumerating and solving the many fundamental problems they entail. To this end, we look for interdisciplinary bridges in mathematics, physics, and information and life sciences. In particular, research into a new paradigm for information science and life science on the basis of quantum theory is emphasized.

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Page Count

296

Publisher

World Scientific

Published Date

ISBN 10

9812793356

ISBN 13

9789812793355

Partial Difference Equations

By: Sui Sun Cheng

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Partial Difference Equations

By: Sui Sun Cheng

Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations.

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Page Count

284

Publisher

CRC Press

Published Date

ISBN 10

0415298849

ISBN 13

9780415298841

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

By: Yunkang Sui,Xirong Peng

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Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

By: Yunkang Sui,Xirong Peng

Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization. This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers. - Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models - Centers on the application of ICM method in various situations with the introduction of easily coded software - Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines

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Page Count

395

Publisher

Butterworth-Heinemann

Published Date

ISBN 10

0128126566

ISBN 13

9780128126561

Dual Sets Of Envelopes And Characteristic Regions Of Quasi-polynomials

By: Sui Sun Cheng,Yi-zhong Lin

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Dual Sets Of Envelopes And Characteristic Regions Of Quasi-polynomials

By: Sui Sun Cheng,Yi-zhong Lin

Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation.In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple — since only basic Calculus concepts are needed for understanding — and precise, since necessary and sufficient conditions can be obtained for functions such as polynomials containing more than four parameters.Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus; to graduate students who want to do research in functional equations; and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations.

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N/A

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Solve jigsaw puzzle

Age

Page Count

236

Publisher

World Scientific

Published Date

ISBN 10

9814467596

ISBN 13

9789814467599

Book's by Sui Sun Cheng

Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials

Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials

Analytic Solutions of Functional Equations

Analytic Solutions of Functional Equations

Partial Difference Equations

Partial Difference Equations

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Dual Sets Of Envelopes And Characteristic Regions Of Quasi-polynomials

Dual Sets Of Envelopes And Characteristic Regions Of Quasi-polynomials

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