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Information, Randomness and Incompleteness

Papers on Algorithmic Information Theory
Information, Randomness and Incompleteness Image
2nd Edition
God not only plays dice in quantum mechanics, but even with the whole numbers! The discovery of randomness in arithmetic is presented in my book Algorithmic Information Theory published by Cambridge University Press. There I show that to decide if an algebraic equation in integers has finitely or infinitely many solutions is in some cases absolutely intractable. I exhibit an infinite series of such arithmetical assertions that are random arithmetical facts, and for which it is essentially the case that the only way to prove them is to assume them as axioms. This extreme form of Gdel incompleteness theorem shows that some arithmetical truths are totally...

The Adobe Photoshop CS6 Book

For Digital Photographers
The Adobe Photoshop CS6 Book Image
ARE YOU READY FOR AN AMAZING NEW VERSION OF THE PHOTOSHOP BOOK THAT BREAKS ALL THE RULES? Scott Kelby, Editor and Publisher of Photoshop User magazineand the best-selling Photoshop author in the world todayonce again takes this book to a whole new level as he uncovers more of the latest, most important, and most useful Adobe Photoshop CS6 techniques for digital photographers. This major update to his award-winning, record-breaking book does something for digital photographers that's never been done beforeit cuts through the bull and shows you exactly 'how to do it.' It's not a bunch of theory; it doesn't challenge you to come up with your own settings or figure it out on your own. Instead, Scott shows you step by step the exact techniques used by tod...

Principles of Model Checking

Principles of Model Checking Image
Our growing dependence on increasingly complex computer and software systems necessitates the development of formalisms, techniques, and tools for assessing functional properties of these systems. One such technique that has emerged in the last twenty years is model checking, which systematically (and automatically) checks whether a model of a given system satisfies a desired property such as deadlock freedom, invariants, and request-response properties. This automated technique for verification and debugging has developed into a mature and widely used approach with many applications. Principles of Model Checking offers a comprehensive introduction to model checking that is not only a text suitable for classroom use but also a valuable reference for ...

Introduction to Algorithms

Introduction to Algorithms Image
2nd Edition
The first edition won the award for Best 1990 Professional and Scholarly Book in Computer Science and Data Processing by the Association of American Publishers. There are books on algorithms that are rigorous but incomplete and others that cover masses of material but lack rigor. Introduction to Algorithms combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done ...

2D Object Detection and Recognition

Models, Algorithms, and Networks
2D Object Detection and Recognition Image
Two important subproblems of computer vision are the detection and recognition of 2D objects in gray-level images. This book discusses the construction and training of models, computational approaches to efficient implementation, and parallel implementations in biologically plausible neural network architectures. The approach is based on statistical modeling and estimation, with an emphasis on simplicity, transparency, and computational efficiency.The book describes a range of deformable template models, from coarse sparse models involving discrete, fast computations to more finely detailed models based on continuum formulations, involving intensive optimization. Each model is defined in terms of a subset of points on a reference grid (the template),...



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