Music and Probability

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Release : 2007
Genre : Mathematics
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Book Rating : 666/5 ( reviews)

Music and Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Music and Probability write by David Temperley. This book was released on 2007. Music and Probability available in PDF, EPUB and Kindle. Exploring the application of Bayesian probabilistic modeling techniques to musical issues, including the perception of key and meter.

The Cognition of Basic Musical Structures

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Release : 2004-08-20
Genre : Music
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Book Rating : 051/5 ( reviews)

The Cognition of Basic Musical Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Cognition of Basic Musical Structures write by David Temperley. This book was released on 2004-08-20. The Cognition of Basic Musical Structures available in PDF, EPUB and Kindle. In this book, David Temperley addresses a fundamental question about music cognition: how do we extract basic kinds of musical information, such as meter, phrase structure, counterpoint, pitch spelling, harmony, and key from music as we hear it? Taking a computational approach, Temperley develops models for generating these aspects of musical structure. The models he proposes are based on preference rules, which are criteria for evaluating a possible structural analysis of a piece of music. A preference rule system evaluates many possible interpretations and chooses the one that best satisfies the rules. After an introductory chapter, Temperley presents preference rule systems for generating six basic kinds of musical structure: meter, phrase structure, contrapuntal structure, harmony, and key, as well as pitch spelling (the labeling of pitch events with spellings such as A flat or G sharp). He suggests that preference rule systems not only show how musical structures are inferred, but also shed light on other aspects of music. He substantiates this claim with discussions of musical ambiguity, retrospective revision, expectation, and music outside the Western canon (rock and traditional African music). He proposes a framework for the description of musical styles based on preference rule systems and explores the relevance of preference rule systems to higher-level aspects of music, such as musical schemata, narrative and drama, and musical tension.

Probability, Statistics, and Truth

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Release : 1981-01-01
Genre : Mathematics
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Book Rating : 145/5 ( reviews)

Probability, Statistics, and Truth - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probability, Statistics, and Truth write by Richard Von Mises. This book was released on 1981-01-01. Probability, Statistics, and Truth available in PDF, EPUB and Kindle. This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.

Concepts of Probability Theory

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Release : 2013-05-13
Genre : Mathematics
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Book Rating : 663/5 ( reviews)

Concepts of Probability Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Concepts of Probability Theory write by Paul E. Pfeiffer. This book was released on 2013-05-13. Concepts of Probability Theory available in PDF, EPUB and Kindle. Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.

Introduction to Probability

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Release : 2008-07-01
Genre : Mathematics
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Book Rating : 23X/5 ( reviews)

Introduction to Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Probability write by Dimitri Bertsekas. This book was released on 2008-07-01. Introduction to Probability available in PDF, EPUB and Kindle. An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.