Convex Hull

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Convex Hull

Author : Fouad Sabry
Publisher : One Billion Knowledgeable
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (661 download)

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Book Synopsis Convex Hull by : Fouad Sabry

Download or read book Convex Hull written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-05-05 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Convex Hull The convex hull, convex envelope, or convex closure of a shape is the smallest convex set that contains the shape. This concept is used in the field of geometry. It is possible to define the convex hull in two different ways: either as the intersection of all convex sets that contain a particular subset of a Euclidean space, or, more precisely, as the set of all convex combinations of points that are contained within the subset. The convex hull of a bounded subset of the plane can be seen as the form that is encompassed by a rubber band that is stretched around the subset. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Convex hull Chapter 2: Convex set Chapter 3: Polyhedron Chapter 4: Polytope Chapter 5: Minkowski addition Chapter 6: Duality (mathematics) Chapter 7: Carathéodory's theorem (convex hull) Chapter 8: Curvilinear perspective Chapter 9: Radon's theorem Chapter 10: Convex polytope (II) Answering the public top questions about convex hull. (III) Real world examples for the usage of convex hull in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Convex Hull.

Fundamentals of Convex Analysis

Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer Science & Business Media
ISBN 13 : 3642564682
Total Pages : 268 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Fundamentals of Convex Analysis by : Jean-Baptiste Hiriart-Urruty

Download or read book Fundamentals of Convex Analysis written by Jean-Baptiste Hiriart-Urruty and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an abridged version of the two volumes "Convex Analysis and Minimization Algorithms I and II" (Grundlehren der mathematischen Wissenschaften Vol. 305 and 306). It presents an introduction to the basic concepts in convex analysis and a study of convex minimization problems (with an emphasis on numerical algorithms). The "backbone" of bot volumes was extracted, some material deleted which was deemed too advanced for an introduction, or too closely attached to numerical algorithms. Some exercises were included and finally the index has been considerably enriched, making it an excellent choice for the purpose of learning and teaching.

Convex Polyhedra

Author : A.D. Alexandrov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540231585
Total Pages : 562 pages
Book Rating : 4.2/5 (315 download)

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Book Synopsis Convex Polyhedra by : A.D. Alexandrov

Download or read book Convex Polyhedra written by A.D. Alexandrov and published by Springer Science & Business Media. This book was released on 2005-02-10 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.

Computational Geometry in C

Author : Joseph O'Rourke
Publisher : Cambridge University Press
ISBN 13 : 110726863X
Total Pages : 396 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Computational Geometry in C by : Joseph O'Rourke

Download or read book Computational Geometry in C written by Joseph O'Rourke and published by Cambridge University Press. This book was released on 1998-10-13 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and expanded 1998 edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangulations, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The code in this edition is significantly improved from the first edition (more efficient and more robust), and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site (http://cs.smith.edu/~orourke/) or by anonymous ftp.

Convex Analysis and Minimization Algorithms I

Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer Science & Business Media
ISBN 13 : 3540568506
Total Pages : 442 pages
Book Rating : 4.5/5 (45 download)

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Book Synopsis Convex Analysis and Minimization Algorithms I by : Jean-Baptiste Hiriart-Urruty

Download or read book Convex Analysis and Minimization Algorithms I written by Jean-Baptiste Hiriart-Urruty and published by Springer Science & Business Media. This book was released on 1996-10-30 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.

Convex Analysis

Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 149870638X
Total Pages : 174 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Convex Analysis by : Steven G. Krantz

Download or read book Convex Analysis written by Steven G. Krantz and published by CRC Press. This book was released on 2014-10-20 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces

A Convex-hull Approach to the Analysis of Social Productivity

Author : Robert Gray
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis A Convex-hull Approach to the Analysis of Social Productivity by : Robert Gray

Download or read book A Convex-hull Approach to the Analysis of Social Productivity written by Robert Gray and published by . This book was released on 1979 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms and Computation

Author : Toshihide Ibaraki
Publisher : Springer Science & Business Media
ISBN 13 : 3540206957
Total Pages : 764 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Algorithms and Computation by : Toshihide Ibaraki

Download or read book Algorithms and Computation written by Toshihide Ibaraki and published by Springer Science & Business Media. This book was released on 2003-12-03 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Symposium on Algorithms and Computation, ISAAC 2003, held in Kyoto, Japan, in December 2003. The 73 revised full papers presented were carefully reviewed and selected from 207 submissions. The papers are organized in topical sections on computational geometry, graph and combinatorial algorithms, computational complexity, quantum computing, combinatorial optimization, scheduling, computational biology, distributed and parallel algorithms, data structures, combinatorial and network optimization, computational complexity and cryptography, game theory and randomized algorithms, and algebraic and arithmetic computation.

Game AI Pro 360: Guide to Movement and Pathfinding

Author : Steve Rabin
Publisher : CRC Press
ISBN 13 : 0429621825
Total Pages : 315 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Game AI Pro 360: Guide to Movement and Pathfinding by : Steve Rabin

Download or read book Game AI Pro 360: Guide to Movement and Pathfinding written by Steve Rabin and published by CRC Press. This book was released on 2019-09-10 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steve Rabin’s Game AI Pro 360: Guide to Movement and Pathfinding gathers all the cutting-edge information from his previous three Game AI Pro volumes into a convenient single source anthology covering movement and pathfinding in game AI. This volume is complete with articles by leading game AI programmers that explore better ways to smooth paths, avoid obstacles, and navigate 3D space with cutting-edge techniques. Key Features Provides real-life case studies of game AI in published commercial games Material by top developers and researchers in Game AI Downloadable demos and/or source code available online

Computer Algorithms C++

Author : Ellis Horowitz
Publisher : Macmillan
ISBN 13 : 9780716783152
Total Pages : 800 pages
Book Rating : 4.7/5 (831 download)

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Book Synopsis Computer Algorithms C++ by : Ellis Horowitz

Download or read book Computer Algorithms C++ written by Ellis Horowitz and published by Macmillan. This book was released on 1997 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author team that established its reputation nearly twenty years ago with Fundamentals of Computer Algorithms offers this new title, available in both pseudocode and C++ versions. Ideal for junior/senior level courses in the analysis of algorithms, this well-researched text takes a theoretical approach to the subject, creating a basis for more in-depth study and providing opportunities for hands-on learning. Emphasizing design technique, the text uses exciting, state-of-the-art examples to illustrate design strategies.

Real-Time Collision Detection

Author : Christer Ericson
Publisher : CRC Press
ISBN 13 : 1558607323
Total Pages : 634 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Real-Time Collision Detection by : Christer Ericson

Download or read book Real-Time Collision Detection written by Christer Ericson and published by CRC Press. This book was released on 2004-12-22 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an expert in the game industry, Christer Ericson's new book is a comprehensive guide to the components of efficient real-time collision detection systems. The book provides the tools and know-how needed to implement industrial-strength collision detection for the highly detailed dynamic environments of applications such as 3D games, virtual reality applications, and physical simulators. Of the many topics covered, a key focus is on spatial and object partitioning through a wide variety of grids, trees, and sorting methods. The author also presents a large collection of intersection and distance tests for both simple and complex geometric shapes. Sections on vector and matrix algebra provide the background for advanced topics such as Voronoi regions, Minkowski sums, and linear and quadratic programming. Of utmost importance to programmers but rarely discussed in this much detail in other books are the chapters covering numerical and geometric robustness, both essential topics for collision detection systems. Also unique are the chapters discussing how graphics hardware can assist in collision detection computations and on advanced optimization for modern computer architectures. All in all, this comprehensive book will become the industry standard for years to come.

Computational Geometry

Author : Mark de Berg
Publisher : Springer Science & Business Media
ISBN 13 : 3662042452
Total Pages : 370 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Computational Geometry by : Mark de Berg

Download or read book Computational Geometry written by Mark de Berg and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.

Design and Analysis of Algorithms

Author : Sandeep Sen
Publisher : Cambridge University Press
ISBN 13 : 1108576893
Total Pages : 396 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Design and Analysis of Algorithms by : Sandeep Sen

Download or read book Design and Analysis of Algorithms written by Sandeep Sen and published by Cambridge University Press. This book was released on 2019-05-23 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers important algorithm design techniques, such as greedy algorithms, dynamic programming, and divide-and-conquer, and gives applications to contemporary problems. Techniques including Fast Fourier transform, KMP algorithm for string matching, CYK algorithm for context free parsing and gradient descent for convex function minimization are discussed in detail. The book's emphasis is on computational models and their effect on algorithm design. It gives insights into algorithm design techniques in parallel, streaming and memory hierarchy computational models. The book also emphasizes the role of randomization in algorithm design, and gives numerous applications ranging from data-structures such as skip-lists to dimensionality reduction methods.

Multi-Objective Decision Making

Author : Diederik M. Zhou
Publisher : Springer Nature
ISBN 13 : 3031015762
Total Pages : 111 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Multi-Objective Decision Making by : Diederik M. Zhou

Download or read book Multi-Objective Decision Making written by Diederik M. Zhou and published by Springer Nature. This book was released on 2022-05-31 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many real-world decision problems have multiple objectives. For example, when choosing a medical treatment plan, we want to maximize the efficacy of the treatment, but also minimize the side effects. These objectives typically conflict, e.g., we can often increase the efficacy of the treatment, but at the cost of more severe side effects. In this book, we outline how to deal with multiple objectives in decision-theoretic planning and reinforcement learning algorithms. To illustrate this, we employ the popular problem classes of multi-objective Markov decision processes (MOMDPs) and multi-objective coordination graphs (MO-CoGs). First, we discuss different use cases for multi-objective decision making, and why they often necessitate explicitly multi-objective algorithms. We advocate a utility-based approach to multi-objective decision making, i.e., that what constitutes an optimal solution to a multi-objective decision problem should be derived from the available information about user utility. We show how different assumptions about user utility and what types of policies are allowed lead to different solution concepts, which we outline in a taxonomy of multi-objective decision problems. Second, we show how to create new methods for multi-objective decision making using existing single-objective methods as a basis. Focusing on planning, we describe two ways to creating multi-objective algorithms: in the inner loop approach, the inner workings of a single-objective method are adapted to work with multi-objective solution concepts; in the outer loop approach, a wrapper is created around a single-objective method that solves the multi-objective problem as a series of single-objective problems. After discussing the creation of such methods for the planning setting, we discuss how these approaches apply to the learning setting. Next, we discuss three promising application domains for multi-objective decision making algorithms: energy, health, and infrastructure and transportation. Finally, we conclude by outlining important open problems and promising future directions.

7 Algorithm Design Paradigms

Author : Sung-Hyuk Cha
Publisher : Cha Academy llc
ISBN 13 : 1735168009
Total Pages : 798 pages
Book Rating : 4.7/5 (351 download)

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Book Synopsis 7 Algorithm Design Paradigms by : Sung-Hyuk Cha

Download or read book 7 Algorithm Design Paradigms written by Sung-Hyuk Cha and published by Cha Academy llc. This book was released on 2020-06-01 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intended readership includes both undergraduate and graduate students majoring in computer science as well as researchers in the computer science area. The book is suitable either as a textbook or as a supplementary book in algorithm courses. Over 400 computational problems are covered with various algorithms to tackle them. Rather than providing students simply with the best known algorithm for a problem, this book presents various algorithms for readers to master various algorithm design paradigms. Beginners in computer science can train their algorithm design skills via trivial algorithms on elementary problem examples. Graduate students can test their abilities to apply the algorithm design paradigms to devise an efficient algorithm for intermediate-level or challenging problems. Key Features: Dictionary of computational problems: A table of over 400 computational problems with more than 1500 algorithms is provided. Indices and Hyperlinks: Algorithms, computational problems, equations, figures, lemmas, properties, tables, and theorems are indexed with unique identification numbers and page numbers in the printed book and hyperlinked in the e-book version. Extensive Figures: Over 435 figures illustrate the algorithms and describe computational problems. Comprehensive exercises: More than 352 exercises help students to improve their algorithm design and analysis skills. The answers for most questions are available in the accompanying solution manual.

Modelling and Analysing the Market Integration of Flexible Demand and Storage Resources

Author : Ye Yujian
Publisher : Springer Nature
ISBN 13 : 981191964X
Total Pages : 188 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Modelling and Analysing the Market Integration of Flexible Demand and Storage Resources by : Ye Yujian

Download or read book Modelling and Analysing the Market Integration of Flexible Demand and Storage Resources written by Ye Yujian and published by Springer Nature. This book was released on 2022-07-21 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides carefully designed illustrative examples to explain the profound in simpler terms. The emerging smart grid paradigm has paved the way for the wide introduction of flexible demand (FD) and energy storage (ES) technologies in power systems, with significant economic, technical, and environmental benefits that will facilitate efficient transition to the low-carbon future. In the deregulated energy sector, the realization of the significant FD and ES flexibility potential should be coupled with their suitable integration in electricity markets. In this context, previous studies have proposed market clearing mechanisms considering FD and ES participation and demonstrated their impact on the system operation. However, these studies have neglected fundamental market complexities, such as modeling and pricing FD non-convexities as well as modeling and analyzing the role of FD and ES in imperfect markets. This book is dedicated to address the above challenges through the development of novel computational methodologies. It also provides numerous explanatory figures, tables, algorithm flowcharts, and block diagrams for visual aid, which helps the readers to better grasp the working principles of the developed algorithms as well as to form a comprehensive comparison of results.

Integration of Constraint Programming, Artificial Intelligence, and Operations Research

Author : Peter J. Stuckey
Publisher : Springer Nature
ISBN 13 : 3030782301
Total Pages : 468 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Integration of Constraint Programming, Artificial Intelligence, and Operations Research by : Peter J. Stuckey

Download or read book Integration of Constraint Programming, Artificial Intelligence, and Operations Research written by Peter J. Stuckey and published by Springer Nature. This book was released on 2021-06-17 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume LNCS 12735 constitutes the papers of the 18th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2021, which was held in Vienna, Austria, in 2021. Due to the COVID-19 pandemic the conference was held online. The 30 regular papers presented were carefully reviewed and selected from a total of 75 submissions. The conference program included a Master Class on the topic "Explanation and Verification of Machine Learning Models".