Evidence, Decision and Causality

Author: Arif Ahmed

Publisher: Cambridge University Press

ISBN: 1107020891

Category: Mathematics

Page: 258

View: 434

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An explanation and defence of evidential decision theory, which emphasises the symptomatic value of options over their causal role.
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Smart Diagnostics V

Author: Tadeusz Uhl

Publisher: Trans Tech Publications Ltd

ISBN: 3038262706

Category: Technology & Engineering

Page: 378

View: 337

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Selected, peer reviewed papers from the 5th International Congress of Technical Diagnostics, September 3-5, 2012, Krakow, Poland
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Vision and Brain

How We Perceive the World

Author: Dr James V Stone

Publisher: MIT Press

ISBN: 0262517736

Category: Health & Fitness

Page: 243

View: 7890

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In this accessible and engaging introduction to modern vision science, James Stone uses visual illusions to explore how the brain sees the world. Understanding vision, Stone argues, is not simply a question of knowing which neurons respond to particular visual features, but also requires a computational theory of vision. Stone draws together results from David Marr's computational framework, Barlow's efficient coding hypothesis, Bayesian inference, Shannon's information theory, and signal processing to construct a coherent account of vision that explains not only how the brain is fooled by particular visual illusions, but also why any biological or computer vision system should also be fooled by these illusions. This short text includes chapters on the eye and its evolution, how and why visual neurons from different species encode the retinal image in the same way, how information theory explains color aftereffects, how different visual cues provide depth information, how the imperfect visual information received by the eye and brain can be rescued by Bayesian inference, how different brain regions process visual information, and the bizarre perceptual consequences that result from damage to these brain regions. The tutorial style emphasizes key conceptual insights, rather than mathematical details, making the book accessible to the nonscientist and suitable for undergraduate or postgraduate study.
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Gleason's Theorem and Its Applications

Author: Anatolij Dvurecenskij

Publisher: Springer Science & Business Media

ISBN: 9780792319900

Category: Mathematics

Page: 325

View: 9434

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This volume deals with Gleason's theorem and Gleason's measures and indicates the many ways in which they can be applied. The book comprises five chapters. Chapter 1 is devoted to elements of Hilbert space theory. Chapter 2 is devoted to quantum logic theory. Gleason's theorem is described and proved in Chapter 3, together with proofs for measures that can attain infinite values. In Chapter 4 the possibility of applying Gleason's theorem to the completeness criteria of inner product spaces is addressed. Chapter 5 discusses orthogonal measures and the unexpected possibility of describing states on Keller spaces, as well as other applications. Throughout the book, important facts and concepts are illustrated exercises. For mathematicians and physicists interested in the mathematical foundations of quantum mechanics, and those whose work involves noncommutative measure theory, orthomodular lattices. Hilbert space theory and probability theory.
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Introduction to Symbolic Logic and Its Applications

Author: Rudolf Carnap

Publisher: Courier Corporation

ISBN: 048614349X

Category: Mathematics

Page: 272

View: 1531

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Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.
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Probability Theory

The Logic of Science

Author: E. T. Jaynes,G. Larry Bretthorst

Publisher: Cambridge University Press

ISBN: 9780521592710

Category: Mathematics

Page: 727

View: 7403

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index
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Mathematical Logic

Author: Stephen Cole Kleene

Publisher: Courier Corporation

ISBN: 0486317072

Category: Mathematics

Page: 416

View: 2930

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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.
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