Mathematical Linguistics

Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 48,9 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 : Barbara B.H. Partee,A.G. ter Meulen,R. Wall
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 44,8 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 : Marcus Kracht
Publisher : Walter de Gruyter
Page : 616 pages
File Size : 49,7 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 : Alexej V. Gladkij,Igor A. Melcuk
Publisher : Walter de Gruyter GmbH & Co KG
Page : 268 pages
File Size : 45,7 Mb
Release : 2020-07-06
Category : Language Arts & Disciplines
ISBN : 9783110810806

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Elements of Mathematical Linguistics by Alexej V. Gladkij,Igor A. Melcuk Pdf

Author : Carlos Martín-Vide
Publisher : John Benjamins Publishing
Page : 228 pages
File Size : 48,8 Mb
Release : 1999-11-15
Category : Language Arts & Disciplines
ISBN : 9789027284723

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Issues in Mathematical Linguistics by Carlos Martín-Vide Pdf

This brief collection of refereed papers approaches several technical as well as methodological aspects of the mathematical formalization of natural language, particularly in syntax and in semantics. Such kind of investigation is a prerequisite for the computational processing of language and is narrowly related to current developments in other disciplines, namely theoretical computer science and mathematical logic. The volume offers a coherent picture of recent research on the mathematics of language, and may be of interest to a wide audience, from linguists to mathematicians. Detailed indexes of authors and topics provide an easy access to the contents.

Author : Ferenc Papp
Publisher : Walter de Gruyter GmbH & Co KG
Page : 168 pages
File Size : 45,7 Mb
Release : 2019-01-01
Category : Language Arts & Disciplines
ISBN : 9783111352862

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Mathematical linguistics in the Soviet Union by Ferenc Papp Pdf

To celebrate the 270th anniversary of the De Gruyter publishing house, the company is providing permanent open access to 270 selected treasures from the De Gruyter Book Archive. Titles will be made available to anyone, anywhere at any time that might be interested. The DGBA project seeks to digitize the entire backlist of titles published since 1749 to ensure that future generations have digital access to the high-quality primary sources that De Gruyter has published over the centuries.

Author : C. Martín-Vide
Publisher : Elsevier
Page : 474 pages
File Size : 47,5 Mb
Release : 2014-06-28
Category : Language Arts & Disciplines
ISBN : 9781483294728

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Current Issues in Mathematical Linguistics by C. Martín-Vide Pdf

The present volume contains some selected topics of current interest around the world in the mathematical analysis of natural language. The book is divided into four sections: - analytical algebraic models - models from the theory of formal grammars and automata, with interest mainly in syntax - model-theoretic concepts in semantics or pragmatics, and - a final section containing some applications in computational linguistics. The varied perspectives illustrated in the book confirm that Mathematical Linguistics has finally introduced scientific methods into a previously fuzzy field, through the use of mathematical reasoning. The text will contribute to a fruitful convergence between linguists, mathematicians, logicians, computer scientists, cognitive scientists and others interested in the formal treatment of natural language and the research of its properties.

Author : Anonim
Publisher : Unknown
Page : 472 pages
File Size : 40,5 Mb
Release : 1959
Category : Machine translating
ISBN : STANFORD:36105126469969

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Mathematical Linguistics and Automatic Translation by Anonim Pdf

Author : Eva Haji?ová,Marie T?šitelová,Ján Horecký
Publisher : John Benjamins Publishing
Page : 201 pages
File Size : 43,8 Mb
Release : 1990-01-01
Category : Language Arts & Disciplines
ISBN : 9789027278180

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Prague Studies in Mathematical Linguistics by Eva Haji?ová,Marie T?šitelová,Ján Horecký Pdf

The papers in this volume are divided into two sections. Part 1 Quantitative Linguistics contains contributions by Marie Těšitelová; M. Ludvíková; H. Confortiová; Ludmila Uhlířová; I. Nebeská; Jan Králík; J. Krámský; J. Sabol; J. Štěpán. Part 2 Algebraic Linguistics contains contributions by M. Novotný; Pavel Materna; Eva Hajičová, Petr Sgall & Petr Piťha; Jarmila Panevová & Petr Sgall.

Author : Robert Eugene Wall
Publisher : Prentice Hall
Page : 360 pages
File Size : 52,9 Mb
Release : 1972
Category : Language Arts & Disciplines
ISBN : UOM:39015000960495

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Introduction to Mathematical Linguistics by Robert Eugene Wall Pdf

Author : Andras Kornai
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 42,7 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 : 44,6 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 : Alexis Manaster-Ramer
Publisher : John Benjamins Publishing
Page : 413 pages
File Size : 45,5 Mb
Release : 1987-01-01
Category : Language Arts & Disciplines
ISBN : 9789027274427

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Mathematics of Language by Alexis Manaster-Ramer Pdf

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.

Author : Kumiko Tanaka-Ishii
Publisher : Springer Nature
Page : 230 pages
File Size : 55,7 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 : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Page : 366 pages
File Size : 41,6 Mb
Release : 2018-07-27
Category : Psychology
ISBN : 9780128125755

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Language and Culture in Mathematical Cognition by Daniel B. Berch,David C. Geary,Kathleen Mann Koepke Pdf

Language and Culture in Mathematical Cognition, First Edition focuses on the role of linguistic and cultural factors in math cognition and development. It covers a wide range of topics, including analogical mapping in numerical development, arithmetic fact retrieval in the bilingual brain, cross-cultural comparisons of mathematics achievement, the shaping of numerical processing by number word construction, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments Synthesizes research from various subdomains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students and policymakers