Pairs of Compact Convex Sets

Pairs of Compact Convex Sets
Author: Diethard Pallaschke
Publisher: Springer Science & Business Media
Total Pages: 312
Release: 2002-10-31
Genre: Mathematics
ISBN: 9781402009389

The book is devoted to the theory of pairs of compact convex sets and in particular to the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Rådström-Hörmander Theory. Minimal pairs of compact convex sets arise naturally in different fields of mathematics, as for instance in non-smooth analysis, set-valued analysis and in the field of combinatorial convexity. In the first three chapters of the book the basic facts about convexity, mixed volumes and the Rådström-Hörmander lattice are presented. Then, a comprehensive theory on inclusion-minimal representants of pairs of compact convex sets is given. Special attention is given to the two-dimensional case, where the minimal pairs are uniquely determined up to translations. This fact is not true in higher dimensional spaces and leads to a beautiful theory on the mutual interactions between minimality under constraints, separation and decomposition of convex sets, convexificators and invariants of minimal pairs. This theory throws light upon both sides of the collection of all compact convex subsets of a locally vector space, namely the geometric and the algebraic one. From the algebraic point of view the collection of all nonempty compact convex subsets of a topological vector space is an ordered semi group with cancellation property under the inclusion of sets and the Minkowski-addition. From this approach pairs of nonempty compact convex sets correspond to fractions of elements from the semi group and minimal pairs to relatively prime fractions.

Compact Reference Bible King James Version Gold Edition

Compact Reference Bible King James Version Gold Edition
Author: Zondervan Publishing
Publisher: Zondervan Publishing Company
Total Pages: 0
Release: 2000-02-11
Genre:
ISBN: 9780310911111

Button-flapped 45,000 center-column references Concordance Presentation pages Red letter Study helps Color maps Ribbon marker 1,536 pp.

Artificial Evolution

Artificial Evolution
Author: Jin-Kao Hao
Publisher: Springer
Total Pages: 241
Release: 2012-11-28
Genre: Computers
ISBN: 3642355331

This book constitutes selected best papers from the 10th International Conference on Artificial Evolution, EA 2011, held in Angers, France, in October 2011. Initially, 33 full papers and 10 post papers were carefully reviewed and selected from 64 submissions. This book presents the 19 best papers selected from these contributions. The papers are organized in topical sections on ant colony optimization; multi-objective optimization; analysis; implementation and robotics; combinatorial optimization; learning and parameter tuning; new nature inspired models; probabilistic algorithms; theory and evolutionary search; and applications.

Swift in Depth

Swift in Depth
Author: Tjeerd in 't Veen
Publisher: Simon and Schuster
Total Pages: 566
Release: 2018-12-10
Genre: Computers
ISBN: 1638356165

Summary Now updated for Swift 5! Swift is more than just a fun language to build iOS applications with. It features a host of powerful tools that, if effectively used, can help you create even better apps with clean, crystal-clear code and awesome features. Swift in Depth is designed to help you unlock these tools and quirks and get developing next-gen apps, web services, and more! Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the Technology It's fun to create your first toy iOS or Mac app in Swift. Writing secure, reliable, professional-grade software is a different animal altogether. The Swift language includes an amazing set of high-powered features, and it supports a wide range of programming styles and techniques. You just have to roll up your sleeves and learn Swift in depth. About the Book Swift in Depth guides you concept by concept through the skills you need to build professional software for Apple platforms, such as iOS and Mac; also on the server with Linux. By following the numerous concrete examples, enlightening explanations, and engaging exercises, you'll finally grok powerful techniques like generics, efficient error handling, protocol-oriented programming, and advanced Swift patterns. Author Tjeerd in 't Veen reveals the high-value, difficult-to-discover Swift techniques he's learned through his own hard-won experience. What's inside Covers Swift 5 Writing reusable code with generics Iterators, sequences, and collections Protocol-oriented programming Understanding map, flatMap, and compactMap Asynchronous error handling with ResultBest practices in Swift About the Reader Written for advanced-beginner and intermediate-level Swift programmers. About the Author Tjeerd in 't Veen is a senior software engineer and architect in the mobile division of a large international banking firm. Table of Contents Introducing Swift in depth Modeling data with enums Writing cleaner properties Making optionals second nature Demystifying initializers Effortless error handling Generics Putting the pro in protocol-oriented programming Iterators, sequences, and collections Understanding map, flatMap, and compactMap Asynchronous error handling with Result Protocol extensions Swift patterns Delivering quality Swift code Where to Swift from here

Hybrid Artificial Intelligent Systems

Hybrid Artificial Intelligent Systems
Author: Emilio Corchado
Publisher: Springer Science & Business Media
Total Pages: 499
Release: 2011-05-16
Genre: Computers
ISBN: 3642212182

The two LNAI volumes 6678 and 6679 constitute the proceedings of the 6th International Conference on Hybrid Artificial Intelligent Systems, HAIS 2011, held in Wroclaw, Poland, in May 2011. The 114 papers published in these proceedings were carefully reviewed and selected from 241 submissions. They are organized in topical sessions on hybrid intelligence systems on logistics and intelligent optimization; metaheuristics for combinatorial optimization and modelling complex systems; hybrid systems for context-based information fusion; methods of classifier fusion; intelligent systems for data mining and applications; systems, man, and cybernetics; hybrid artificial intelligence systems in management of production systems; habrid artificial intelligent systems for medical applications; and hybrid intelligent approaches in cooperative multi-robot systems.

Distributed Computing

Distributed Computing
Author: Shlomi Dolev
Publisher: Springer
Total Pages: 599
Release: 2006-10-05
Genre: Computers
ISBN: 3540446273

This book constitutes the refereed proceedings of the 20th International Symposium on Distributed Computing, DISC 2006. The book presents 35 revised full papers together with 1 invited paper and 13 announcements of ongoing works, all carefully selected for inclusion in the book. The entire scope of current issues in distributed computing is addressed, ranging from foundational and theoretical topics to algorithms and systems issues and to applications in various fields.