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Mathematical Linguistics
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Book Synopsis Mathematical Linguistics by : Andras Kornai
Download or read book Mathematical Linguistics written by Andras Kornai and published by Springer Science & Business Media. This book was released on 2007-11-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Methods in Linguistics by : Barbara B.H. Partee
Download or read book Mathematical Methods in Linguistics written by Barbara B.H. Partee and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Mathematics of Language by : Marcus Kracht
Download or read book The Mathematics of Language written by Marcus Kracht and published by Walter de Gruyter. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Book Synopsis Introduction to Mathematical Linguistics by : Robert Eugene Wall
Download or read book Introduction to Mathematical Linguistics written by Robert Eugene Wall and published by Prentice Hall. This book was released on 1972 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics of Language by : Alexis Manaster-Ramer
Download or read book Mathematics of Language written by Alexis Manaster-Ramer and published by John Benjamins Publishing. This book was released on 1987-01-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: By mathematics of language is meant the mathematical properties that may, under certain assumptions about modeling, be attributed to human languages and related symbolic systems, as well as the increasingly active and autonomous scholarly discipline that studies such things. More specifically, the use of techniques developed in a variety of pure and applied mathematics, including logic and the theory of computation, in the discovery and articulation of insights into the structure of language. Some of the contributions to this volume deal primarily with foundational issues, others with specific models and theoretical issues. A few are concerned with semantics, but most focus on syntax. The papers in this volume reveal applications of the several fields of the theory of computation (formal languages, automata, complexity), formal logic, topology, set theory, graph theory, and statistics. The book also shows a keen interest in developing mathematical models that are especially suited to natural languages.
Book Synopsis The Language of Mathematics by : Mohan Ganesalingam
Download or read book The Language of Mathematics written by Mohan Ganesalingam and published by Springer. This book was released on 2013-03-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Language of Mathematics by : Bill Barton
Download or read book The Language of Mathematics written by Bill Barton and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book emerges from several contemporary concerns in mathematics, language, and mathematics education. However, the book takes a different stance with respect to language by combining discussion of linguistics and mathematics using examples from each to illustrate the other. The picture that emerges is of a subject that is much more contingent, much more relative, much more subject to human experience than is usually accepted. Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.
Book Synopsis A Theory of Language and Information by : Zellig Sabbettai Harris
Download or read book A Theory of Language and Information written by Zellig Sabbettai Harris and published by . This book was released on 1991 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the most respected figures in American linguistics, this book develops an approach to the analysis of language on a mathematical model. Harris presents a formal theory of language structure, in which syntax is characterized as an orderly system of departure from random combinings of sounds, words, and all the elements of language. He argues that the combining of words in a sentence constitutes a mathematical object, and that each departure from randomness is a contribution to the structure and meaning of a sentence. Discussing the differences in the structure and content of language, mathematics, and music, Harris shows that the use of language in a science constitutes a distinguishable sub-language. Remarkable and compelling, Harris's magnum opus will be considered the classical analysis of the structuring of information and development of language.
Book Synopsis Mathematical Structures in Language by : Edward Louis Keenan
Download or read book Mathematical Structures in Language written by Edward Louis Keenan and published by Lecture Notes. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Structures in Languages introduces a number of mathematical concepts that are of interest to the working linguist. The areas covered include basic set theory and logic, formal languages and automata, trees, partial orders, lattices, Boolean structure, generalized quantifier theory, and linguistic invariants, the last drawing on Edward L. Keenan and Edward Stabler's Bare Grammar: A Study of Language Invariants, also published by CSLI Publications. Ideal for advanced undergraduate and graduate students of linguistics, this book contains numerous exercises and will be a valuable resource for courses on mathematical topics in linguistics. The product of many years of teaching, Mathematic Structures in Languages is very much a book to be read and learned from.
Book Synopsis Mathematical Foundations of Speech and Language Processing by : Mark Johnson
Download or read book Mathematical Foundations of Speech and Language Processing written by Mark Johnson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Statistical Universals of Language by : Kumiko Tanaka-Ishii
Download or read book Statistical Universals of Language written by Kumiko Tanaka-Ishii and published by Springer Nature. This book was released on 2021-04-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Language and Communication in Mathematics Education by : Judit N. Moschkovich
Download or read book Language and Communication in Mathematics Education written by Judit N. Moschkovich and published by Springer. This book was released on 2018-03-27 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Structure of Language and Its Mathematical Aspects by : Roman Jakobson
Download or read book Structure of Language and Its Mathematical Aspects written by Roman Jakobson and published by American Mathematical Soc.. This book was released on 1961 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Foundations of Linguistics by : H. M. Hubey
Download or read book Mathematical Foundations of Linguistics written by H. M. Hubey and published by . This book was released on 1999 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Corpus Linguistics and Cross-Disciplinary Action Research by : Joanna Baumgart
Download or read book Corpus Linguistics and Cross-Disciplinary Action Research written by Joanna Baumgart and published by Routledge. This book was released on 2021-11-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Joanna Baumgart offers a detailed and innovative account of how a mixed methods approach, combining corpus linguistics and discourse analysis, can shed light on educational practice. Corpus Linguistics and Cross-Disciplinary Action Research is based on a 22,000-word corpus of mathematics lessons in a multicultural secondary school in Ireland with the analysis of classroom data supported by insights from reflective meetings with the participating teacher. It demonstrates how examination of video recordings of lessons and reflective conversations facilitate discursive changes in the classroom and increase teacher awareness of classroom interaction. Throughout, the role of teacher talk is used as a model in the subject-specific discourse into which students are socialized. Baumgart also relates the story of a successful interdisciplinary approach to action research, thereby providing an example of how talk and interaction can be examined within wider educational contexts. Building on the premise of the key role which language, and talk in particular, plays in teaching and learning processes, this book will be of keen interest to teacher-educators as well as researchers in the fields of corpus linguistics, discourse analysis and educational linguistics.
Book Synopsis Linguistic and Cultural Influences on Learning Mathematics by : Rodney R. Cocking
Download or read book Linguistic and Cultural Influences on Learning Mathematics written by Rodney R. Cocking and published by Psychology Press. This book was released on 1988 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1988. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Elements of Mathematical Linguistics by : Alexej V. Gladkij
Download or read book Elements of Mathematical Linguistics written by Alexej V. Gladkij and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-07-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
