Elements Of Mathematical Linguistics
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Elements Of Mathematical Linguistics
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Author : Alexej V. Gladkij
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-07-06
Elements Of Mathematical Linguistics written by Alexej V. Gladkij and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-06 with Language Arts & Disciplines categories.
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Elements Of Mathematical Linguistics
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Author : Aleksej Vsevolodovič Gladkij
language : en
Publisher:
Release Date : 1983
Elements Of Mathematical Linguistics written by Aleksej Vsevolodovič Gladkij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Mathematical Methods In Linguistics
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Author : Barbara B.H. Partee
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Methods In Linguistics written by Barbara B.H. Partee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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. Forupper-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.
The Mathematics Of Language
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Author : Marcus Kracht
language : en
Publisher: Walter de Gruyter
Release Date : 2003
The Mathematics Of Language written by Marcus Kracht and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.
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The Language Of Mathematics
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Author : Mohan Ganesalingam
language : en
Publisher: Springer
Release Date : 2013-03-14
The Language Of Mathematics written by Mohan Ganesalingam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.
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
The Language Of Mathematics
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Author : Robert L. Baber
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09
The Language Of Mathematics written by Robert L. Baber and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.
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.
Introduction Of Elements Of Mathematics To Linguistics
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Author : Raĭmond Genrikhovich Piotrovskiĭ
language : en
Publisher:
Release Date : 1990
Introduction Of Elements Of Mathematics To Linguistics written by Raĭmond Genrikhovich Piotrovskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computational linguistics categories.
Mathematical Linguistics
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Author : Andras Kornai
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-16
Mathematical Linguistics written by Andras Kornai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-16 with Mathematics categories.
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. Previous textbooks in this area concentrate on syntax and semantics - this comprehensive volume covers an extremely rich array of topics also including phonology and morphology, probabilistic approaches, complexity, learnability, and the analysis of speech and handwriting. As the first textbook of its kind, this book is useful for those in information science (information retrieval and extraction, search engines) and in natural language technologies (speech recognition, optical character recognition, HCI). Exercises suitable for the advanced reader are included, as well as suggestions for further reading and an extensive bibliography.
Statistical Universals Of Language
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Author : Kumiko Tanaka-Ishii
language : en
Publisher: Springer Nature
Release Date : 2021-04-01
Statistical Universals Of Language written by Kumiko Tanaka-Ishii and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Mathematics categories.
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.
Logic In Linguistics
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Author : Jens Allwood
language : en
Publisher: Cambridge University Press
Release Date : 1977-09-15
Logic In Linguistics written by Jens Allwood and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-09-15 with Language Arts & Disciplines categories.
The authors offer a clear, succinct and basic introduction to set theory and formal logic for linguists.