Mathematical Methods In Linguistics

Author : Barbara B.H. Partee,A.G. ter Meulen,R. Wall
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Language Arts & Disciplines
ISBN : 9789400922136

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Mathematical Methods in Linguistics by Barbara B.H. Partee,A.G. ter Meulen,R. Wall Pdf

Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.

Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 49,6 Mb
Release : 2007-11-10
Category : Mathematics
ISBN : 9781846289859

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Mathematical Linguistics by Andras Kornai Pdf

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

Author : Marcus Kracht
Publisher : Walter de Gruyter
Page : 616 pages
File Size : 52,5 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 3110176203

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The Mathematics of Language by Marcus Kracht Pdf

Table of contents

Author : Barbara Hall Partee,Alice G. B. ter Meulen,Robert Eugene Wall
Publisher : Unknown
Page : 663 pages
File Size : 51,6 Mb
Release : 1990
Category : Mathematical linguistics
ISBN : 1556080638

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Mathematical Methods in Linguistics by Barbara Hall Partee,Alice G. B. ter Meulen,Robert Eugene Wall Pdf

Author : Mark Johnson,Sanjeev P. Khudanpur,Mari Ostendorf,Roni Rosenfeld
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781441990174

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Mathematical Foundations of Speech and Language Processing by Mark Johnson,Sanjeev P. Khudanpur,Mari Ostendorf,Roni Rosenfeld Pdf

Speech and language technologies continue to grow in importance as they are used to create natural and efficient interfaces between people and machines, and to automatically transcribe, extract, analyze, and route information from high-volume streams of spoken and written information. The workshops on Mathematical Foundations of Speech Processing and Natural Language Modeling were held in the Fall of 2000 at the University of Minnesota's NSF-sponsored Institute for Mathematics and Its Applications, as part of a "Mathematics in Multimedia" year-long program. Each workshop brought together researchers in the respective technologies on the one hand, and mathematicians and statisticians on the other hand, for an intensive week of cross-fertilization. There is a long history of benefit from introducing mathematical techniques and ideas to speech and language technologies. Examples include the source-channel paradigm, hidden Markov models, decision trees, exponential models and formal languages theory. It is likely that new mathematical techniques, or novel applications of existing techniques, will once again prove pivotal for moving the field forward. This volume consists of original contributions presented by participants during the two workshops. Topics include language modeling, prosody, acoustic-phonetic modeling, and statistical methodology.

Author : Kumiko Tanaka-Ishii
Publisher : Springer Nature
Page : 230 pages
File Size : 52,6 Mb
Release : 2021-04-01
Category : Mathematics
ISBN : 9783030593773

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Statistical Universals of Language by Kumiko Tanaka-Ishii Pdf

This volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic universals that contribute to describing the variation of human languages, and they can only be identified over a large accumulation of usages. The book provides an overview of state-of-the art findings on these statistical universals and reconsiders the nature of language accordingly, with Zipf's law as a well-known example. The main focus of the book further lies in explaining the property of long memory, which was discovered and studied more recently by borrowing concepts from complex systems theory. The statistical universals not only possibly lie as the precursor of language system formation, but they also highlight the qualities of language that remain weak points in today's machine learning. In summary, this book provides an overview of language's global properties. It will be of interest to anyone engaged in fields related to language and computing or statistical analysis methods, with an emphasis on researchers and students in computational linguistics and natural language processing. While the book does apply mathematical concepts, all possible effort has been made to speak to a non-mathematical audience as well by communicating mathematical content intuitively, with concise examples taken from real texts.

Author : Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte
Publisher : Springer
Page : 279 pages
File Size : 55,6 Mb
Release : 2018-03-27
Category : Education
ISBN : 9783319750552

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Language and Communication in Mathematics Education by Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte Pdf

This book considers some of the outstanding questions regarding language and communication in the teaching and learning of mathematics – an established theme in mathematics education research, which is growing in prominence. Recent research has demonstrated the wide range of theoretical and methodological resources that can contribute to this area of study, including those drawing on cross-disciplinary perspectives influenced by, among others, sociology, psychology, linguistics, and semiotics. Examining language in its broadest sense to include all modes of communication, including visual and gestural as well as spoken and written modes, it features work presented and discussed in the Language and Communication topic study group (TSG 31) at the 13th International Congress on Mathematical Education (ICME-13). A joint session with participants of the Mathematics Education in a Multilingual and Multicultural Environment topic study group (TSG 32) enhanced discussions, which are incorporated in elaborations included in this book. Discussing cross-cutting topics it appeals to readers from a wide range of disciplines, such as mathematics education and research methods in education, multilingualism, applied linguistics and beyond.

Author : Benedikt Löwe,Wolfgang Malzkorn,Thoralf Räsch
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 50,7 Mb
Release : 2013-04-17
Category : Philosophy
ISBN : 9789401703956

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Foundations of the Formal Sciences II by Benedikt Löwe,Wolfgang Malzkorn,Thoralf Räsch Pdf

"Foundations of the Formal Sciences" (FotFS) is a series of interdisciplinary conferences in mathematics, philosophy, computer science and linguistics. The main goal is to reestablish the traditionally strong links between these areas of research that have been lost in the past decades. The second conference in the series had the subtitle "Applications of Mathematical Logic in Philosophy and Linguistics" and brought speakers from all parts of the Formal Sciences together to give a holistic view of how mathematical methods can improve our philosophical and technical understanding of language and scientific discourse, ranging from the theoretical level up to applications in language recognition software. Audience: This volume is of interest to all formal philosophers and theoretical linguists. In addition to that, logicians interested in the applications of their field and logic students in mathematics, computer science, philosophy and linguistics can use the volume to broaden their knowledge of applications of logic.

Author : Gheorghe Paun
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 49,6 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9789401589697

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Marcus Contextual Grammars by Gheorghe Paun Pdf

Marcus Contextual Grammars is the first monograph to present a class of grammars introduced about three decades ago, based on the fundamental linguistic phenomenon of strings-contexts interplay (selection). Most of the theoretical results obtained so far about the many variants of contextual grammars are presented with emphasis on classes of questions with relevance for applications in the study of natural language syntax: generative powers, descriptive and computational complexity, automata recognition, semilinearity, structure of the generated strings, ambiguity, regulated rewriting, etc. Constant comparison with families of languages in the Chomsky hierarchy is made. Connections with non-linguistic areas are established, such as molecular computing. Audience: Researchers and students in theoretical computer science (formal language theory and automata theory), computational linguistics, mathematical methods in linguistics, and linguists interested in formal models of syntax.

Author : H. M. Hubey
Publisher : Unknown
Page : 290 pages
File Size : 46,5 Mb
Release : 1999
Category : Computers
ISBN : STANFORD:36105028775364

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Mathematical Foundations of Linguistics by H. M. Hubey Pdf

Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 47,7 Mb
Release : 2007-12-16
Category : Mathematics
ISBN : 9781846289866

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Mathematical Linguistics by Andras Kornai Pdf

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

Author : Mohan Ganesalingam
Publisher : Springer
Page : 273 pages
File Size : 46,8 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783642370120

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The Language of Mathematics by Mohan Ganesalingam Pdf

The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers

Author : Adrian Burd
Publisher : Cambridge University Press
Page : 599 pages
File Size : 41,7 Mb
Release : 2019-04-18
Category : Mathematics
ISBN : 9781107117488

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Mathematical Methods in the Earth and Environmental Sciences by Adrian Burd Pdf

An accessible introduction to the mathematical methods essential for understanding processes in the Earth and environmental sciences.

Author : Gregory J. Gbur
Publisher : Cambridge University Press
Page : 819 pages
File Size : 41,8 Mb
Release : 2011-01-06
Category : Science
ISBN : 9781139492690

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Mathematical Methods for Optical Physics and Engineering by Gregory J. Gbur Pdf

The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.

Author : Stephen Levinson
Publisher : John Wiley & Sons
Page : 286 pages
File Size : 41,5 Mb
Release : 2005-03-04
Category : Technology & Engineering
ISBN : 0470844078

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Mathematical Models for Speech Technology by Stephen Levinson Pdf

Mathematical Models of Spoken Language presents the motivations for, intuitions behind, and basic mathematical models of natural spoken language communication. A comprehensive overview is given of all aspects of the problem from the physics of speech production through the hierarchy of linguistic structure and ending with some observations on language and mind. The author comprehensively explores the argument that these modern technologies are actually the most extensive compilations of linguistic knowledge available.Throughout the book, the emphasis is on placing all the material in a mathematically coherent and computationally tractable framework that captures linguistic structure. It presents material that appears nowhere else and gives a unification of formalisms and perspectives used by linguists and engineers. Its unique features include a coherent nomenclature that emphasizes the deep connections amongst the diverse mathematical models and explores the methods by means of which they capture linguistic structure. This contrasts with some of the superficial similarities described in the existing literature; the historical background and origins of the theories and models; the connections to related disciplines, e.g. artificial intelligence, automata theory and information theory; an elucidation of the current debates and their intellectual origins; many important little-known results and some original proofs of fundamental results, e.g. a geometric interpretation of parameter estimation techniques for stochastic models and finally the author's own unique perspectives on the future of this discipline. There is a vast literature on Speech Recognition and Synthesis however, this book is unlike any other in the field. Although it appears to be a rapidly advancing field, the fundamentals have not changed in decades. Most of the results are presented in journals from which it is difficult to integrate and evaluate all of these recent ideas. Some of the fundamentals have been collected into textbooks, which give detailed descriptions of the techniques but no motivation or perspective. The linguistic texts are mostly descriptive and pictorial, lacking the mathematical and computational aspects. This book strikes a useful balance by covering a wide range of ideas in a common framework. It provides all the basic algorithms and computational techniques and an analysis and perspective, which allows one to intelligently read the latest literature and understand state-of-the-art techniques as they evolve.