music and probability mit press

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Music And Probability

Author : David Temperley
ISBN : 9780262201667
Genre : Music
File Size : 56. 76 MB
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Exploring the application of Bayesian probabilistic modeling techniques to musical issues, including the perception of key and meter.

The Cognition Of Basic Musical Structures

Author : David Temperley
ISBN : 0262701057
Genre : Science
File Size : 42. 78 MB
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A computational framework, based on preference rules, for studying musical cognition.

The Origins Of Musicality

Author : Henkjan Honing
ISBN : 9780262344555
Genre : Science
File Size : 39. 45 MB
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Interdisciplinary perspectives on the capacity to perceive, appreciate, and make music.Research shows that all humans have a predisposition for music, just as they do for language. All of us can perceive and enjoy music, even if we can't carry a tune and consider ourselves “unmusical.” This volume offers interdisciplinary perspectives on the capacity to perceive, appreciate, and make music. Scholars from biology, musicology, neurology, genetics, computer science, anthropology, psychology, and other fields consider what music is for and why every human culture has it; whether musicality is a uniquely human capacity; and what biological and cognitive mechanisms underlie it.Contributors outline a research program in musicality, and discuss issues in studying the evolution of music; consider principles, constraints, and theories of origins; review musicality from cross-cultural, cross-species, and cross-domain perspectives; discuss the computational modeling of animal song and creativity; and offer a historical context for the study of musicality. The volume aims to identify the basic neurocognitive mechanisms that constitute musicality (and effective ways to study these in human and nonhuman animals) and to develop a method for analyzing musical phenotypes that point to the biological basis of musicality.ContributorsJorge L. Armony, Judith Becker, Simon E. Fisher, W. Tecumseh Fitch, Bruno Gingras, Jessica Grahn, Yuko Hattori, Marisa Hoeschele, Henkjan Honing, David Huron, Dieuwke Hupkes, Yukiko Kikuchi, Julia Kursell, Marie-Élaine Lagrois, Hugo Merchant, Björn Merker, Iain Morley, Aniruddh D. Patel, Isabelle Peretz, Martin Rohrmeier, Constance Scharff, Carel ten Cate, Laurel J. Trainor, Sandra E. Trehub, Peter Tyack, Dominique Vuvan, Geraint Wiggins, Willem Zuidema

Music Query

Author : Walter B. Hewlett
ISBN : 0262582562
Genre : Music
File Size : 37. 60 MB
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Recent studies from Europe and North America concerned with the query and analysis of musical data.

Musimathics

Author : Gareth Loy
ISBN : 9780262516556
Genre : Education
File Size : 64. 35 MB
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"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In this volume, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Musimathics is carefully structured so that new topics depend strictly on topics already presented, carrying the reader progressively from basic subjects to more advanced ones. Cross-references point to related topics and an extensive glossary defines commonly used terms. The book explains the mathematics and physics of music for the reader whose mathematics may not have gone beyond the early undergraduate level. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The topics are all subjects that contemporary composers, musicians, and musical engineers have found to be important. The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.

Introduction To Quantitative Finance

Author : Robert R. Reitano
ISBN : 9780262303989
Genre : Mathematics
File Size : 31. 39 MB
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This text offers an accessible yet rigorous development of many of the fields of mathematics necessary for success in investment and quantitative finance, covering topics applicable to portfolio theory, investment banking, option pricing, investment, and insurance risk management. The approach emphasizes the mathematical framework provided by each mathematical discipline, and the application of each framework to the solution of finance problems. It emphasizes the thought process and mathematical approach taken to develop each result instead of the memorization of formulas to be applied (or misapplied) automatically. The objective is to provide a deep level of understanding of the relevant mathematical theory and tools that can then be effectively used in practice, to teach students how to "think in mathematics" rather than simply to do mathematics by rote.Each chapter covers an area of mathematics such as mathematical logic, Euclidean and other spaces, set theory and topology, sequences and series, probability theory, and calculus, in each case presenting only material that is most important and relevant for quantitative finance. Each chapter includes finance applications that demonstrate the relevance of the material presented. Problem sets are offered on both the mathematical theory and the finance applications sections of each chapter. The logical organization of the book and the judicious selection of topics make the text customizable for a number of courses. The development is self-contained and carefully explained to support disciplined independent study as well. A solutions manual for students provides solutions to the book's Practice Exercises; an instructor's manual offers solutions to the Assignment Exercises as well as other materials.

Good Thinking

Author : Irving John Good
ISBN : 9781452910147
Genre : Mathematics
File Size : 71. 86 MB
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Good Thinking was first published in 1983.Good Thinking is a representative sampling of I. J. Good's writing on a wide range of questions about the foundations of statistical inference, especially where induction intersects with philosophy. Good believes that clear reasoning about many important practical and philosophical questions is impossible except in terms of probability. This book collects from various published sources 23 of Good's articles with an emphasis on more philosophical than mathematical.He covers such topics as rational decisions, randomness, operational research, measurement of knowledge, mathematical discovery, artificial intelligence, cognitive psychology, chess, and the nature of probability itself. In spite of the wide variety of topics covered, Good Thinking is based on a unified philosophy which makes it more than the sum of its parts. The papers are organized into five sections: Bayesian Rationality; Probability; Corroboration, Hypothesis Testing, and Simplicity; Information and Surprise; and Causality and Explanation. The numerous references, an extensive index, and a bibliography guide the reader to related modern and historic literature.This collection makes available to a wide audience, for the first time, the most accessible work of a very creative thinker. Philosophers of science, mathematicians, scientists, and, in Good's words, anyone who wants “to understand understanding, to reason about reasoning, to explain explanation, to think about thought, and to decide how to decide” will find Good Thinking a stimulating and provocative look at probability.

Paradox

Author : Margaret Cuonzo
ISBN : 9780262525497
Genre : Philosophy
File Size : 38. 5 MB
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An introduction to paradoxes showing that they are more than mere puzzles but can prompt new ways of thinking.

The Music Machine

Author : Curtis Roads
ISBN : 0262680785
Genre : Computers
File Size : 41. 55 MB
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In The Music Machine, Curtis Roads brings together 53 classic articles published in Computer Music Journal between 1980 and 1985.

Introduction To Probability

Author : Dimitri P. Bertsekas
ISBN : 188652923X
Genre : Mathematics
File Size : 65. 27 MB
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