Sampling in Combinatorial and Geometric Set Systems

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470461560
Total Pages : 251 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Sampling in Combinatorial and Geometric Set Systems by : Nabil H. Mustafa

Download or read book Sampling in Combinatorial and Geometric Set Systems written by Nabil H. Mustafa and published by American Mathematical Society. This book was released on 2022-01-14 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.

Proof Theory and Automated Deduction

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402003684
Total Pages : 448 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Proof Theory and Automated Deduction by : Jean Goubault-Larrecq

Download or read book Proof Theory and Automated Deduction written by Jean Goubault-Larrecq and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in computer applications has led to a new attitude to applied logic in which researchers tailor a logic in the same way they define a computer language. In response to this attitude, this text for undergraduate and graduate students discusses major algorithmic methodologies, and tableaux and resolution methods. The authors focus on first-order logic, the use of proof theory, and the computer application of automated searches for proofs of mathematical propositions. Annotation copyrighted by Book News, Inc., Portland, OR

Random Trees

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Publisher : Springer Science & Business Media
ISBN 13 : 3211753575
Total Pages : 466 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Random Trees by : Michael Drmota

Download or read book Random Trees written by Michael Drmota and published by Springer Science & Business Media. This book was released on 2009-04-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.

Analytic Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 1139477161
Total Pages : 825 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Analytic Combinatorics by : Philippe Flajolet

Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Formal Methods Applied to Complex Systems

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Publisher : John Wiley & Sons
ISBN 13 : 1119002923
Total Pages : 353 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Formal Methods Applied to Complex Systems by : Jean-Louis Boulanger

Download or read book Formal Methods Applied to Complex Systems written by Jean-Louis Boulanger and published by John Wiley & Sons. This book was released on 2014-07-22 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents real-world examples of formal techniques in an industrial context. It covers formal methods such as SCADE and/or the B Method, in various fields such as railways, aeronautics, and the automotive industry. The purpose of this book is to present a summary of experience on the use of “formal methods” (based on formal techniques such as proof, abstract interpretation and model-checking) in industrial examples of complex systems, based on the experience of people currently involved in the creation and assessment of safety critical system software. The involvement of people from within the industry allows the authors to avoid the usual confidentiality problems which can arise and thus enables them to supply new useful information (photos, architecture plans, real examples, etc.).

Global Warming and Climate Change

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Publisher : Referencepoint Press
ISBN 13 : 9781601520197
Total Pages : 118 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Global Warming and Climate Change by : Emma Carlson Berne

Download or read book Global Warming and Climate Change written by Emma Carlson Berne and published by Referencepoint Press. This book was released on 2008 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout the world, the cause and impact of global warming and climate change is being passionately debated. While many claim that a climate crisis is imminent if greenhouse gases are not curbed, others argue that the effects have been overblown. Through objective overviews, primary sources, and full-color illustrations, this title will examine What Is Global Warming and Climate Change? What Are the Consequences of Global Warming? What Are the Controversies Surrounding Global Warming? What Are the Solutions for Global Warming?

Logic for Computer Science

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486780821
Total Pages : 532 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Logic for Computer Science by : Jean H. Gallier

Download or read book Logic for Computer Science written by Jean H. Gallier and published by Courier Dover Publications. This book was released on 2015-06-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.