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Elements Of 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 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:
Book Synopsis Elements of Mathematical Linguistics by : Alekseĭ Vsevolodovich Gladkiĭ
Download or read book Elements of Mathematical Linguistics written by Alekseĭ Vsevolodovich Gladkiĭ and published by Janua Linguarum. Series Maior. This book was released on 1983 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Elements of Mathematical Linguistics".
Author :Barbara B.H. Partee Publisher :Springer Science & Business Media ISBN 13 :9789027722454 Total Pages :692 pages Book Rating :4.7/5 (224 download)
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 1990-04-30 with total page 692 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 Elements of Formal Semantics by : Yoad Winter
Download or read book Elements of Formal Semantics written by Yoad Winter and published by Edinburgh University Press. This book was released on 2016-04-08 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing some of the foundational concepts, principles and techniques in the formal semantics of natural language, Elements of Formal Semantics outlines the mathematical principles that underlie linguistic meaning. Making use of a wide range of concrete English examples, the book presents the most useful tools and concepts of formal semantics in an accessible style and includes a variety of practical exercises so that readers can learn to utilise these tools effectively. For readers with an elementary background in set theory and linguistics or with an interest in mathematical modelling, this fascinating study is an ideal introduction to natural language semantics. Designed as a quick yet thorough introduction to one of the most vibrant areas of research in modern linguistics today this volume reveals the beauty and elegance of the mathematical study of meaning.
Book Synopsis The Language of Mathematics by : Robert L. Baber
Download or read book The Language of Mathematics written by Robert L. Baber and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.
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 273 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 Syntactic Structures by : Noam Chomsky
Download or read book Syntactic Structures written by Noam Chomsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Syntactic Structures".
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: In this, his magnum opus, distinguished linguist Zellig Harris presents a formal theory of language structure, in which syntax is characterized as an orderly system of departures from random combinations of sounds, words, and indeed of all elements of language.
Book Synopsis Papers in Structural and Transformational Linguistics by : Zellig S. Harris
Download or read book Papers in Structural and Transformational Linguistics written by Zellig S. Harris and published by Springer. This book was released on 2013-12-01 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Primitive Elements of Grammatical Theory by : Katherine McKinney-Bock
Download or read book Primitive Elements of Grammatical Theory written by Katherine McKinney-Bock and published by Routledge. This book was released on 2013-10-15 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of manuscripts and publications from 2001-2010 by Jean-Roger Vergnaud, in collaboration with colleagues and students. This work is guided by the scientific belief that broader mathematical principles should guide linguistic inquiry, as they guide classical biology and physics. From this, Vergnaud’s hypotheses take the representation of the computational component of language to a more abstract level: one that derives constituent structure. He treats linguistic features as primitives, and argues that a 2 x n matrix allows for multiple discrete dimensions to represent symmetries in linguistic features and to derive the fabric of syntax (and perhaps of phonology as well). Three primary research questions guide the core of these papers. (A) Methodologically, how can broadly defined mathematical/cognitive principles guide linguistic investigation? (B) To what extent do general mathematical principles apply across linguistic domains? What principles guide computation at different levels of linguistic structure (phonology, metrical structure, syntax)? (C) How is the computational domain defined? In these manuscripts, Vergnaud’s goal is not to radically depart from the Minimalist Program within generative grammar, but rather to take the underlying goal of the generative program and bring it to an even more general scientific level. The themes of symmetry and periodicity in this book reflect his goal of scientific progress in linguistics, and he has opened the doors to new exploration of old empirical problems in linguistics that may, someday, have deeper biological and physical explanations through the theory presented in this publication.
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 Routledge. This book was released on 2013-03-07 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.
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 Logic in Linguistics by : Jens Allwood
Download or read book Logic in Linguistics written by Jens Allwood and published by Cambridge University Press. This book was released on 1977-09-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors offer a clear, succinct and basic introduction to set theory and formal logic for linguists.
Book Synopsis Linguistics and the Formal Sciences by : Marcus Tomalin
Download or read book Linguistics and the Formal Sciences written by Marcus Tomalin and published by Cambridge University Press. This book was released on 2006-02-16 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The formal sciences, particularly mathematics, have had a profound influence on the development of linguistics. This insightful overview looks at techniques that were introduced in the fields of mathematics, logic and philosophy during the twentieth century, and explores their effect on the work of various linguists. In particular, it discusses the 'foundations crisis' that destabilised mathematics at the start of the twentieth century, the numerous related movements which sought to respond to this crisis, and how they influenced the development of syntactic theory in the 1950s. The book concludes by discussing the resulting major consequences for syntactic theory, and provides a detailed reassessment of Chomsky's early work at the advent of Generative Grammar. Informative and revealing, this book will be invaluable to all those working in formal linguistics, in particular those interested in its history and development.
Book Synopsis A History of Mathematical Notations by : Florian Cajori
Download or read book A History of Mathematical Notations written by Florian Cajori and published by Courier Corporation. This book was released on 2013-09-26 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.
