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Categories For Types
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Book Synopsis Categories for Types by : Roy L. Crole
Download or read book Categories for Types written by Roy L. Crole and published by Cambridge University Press. This book was released on 1993 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specializing in category theory.
Book Synopsis Categories, Types, and Structures by : Andrea Asperti
Download or read book Categories, Types, and Structures written by Andrea Asperti and published by MIT Press (MA). This book was released on 1991 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.
Book Synopsis Categories and Types in Logic, Language, and Physics by : Claudia Casadio
Download or read book Categories and Types in Logic, Language, and Physics written by Claudia Casadio and published by Springer. This book was released on 2014-04-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 60 years, Jim Lambek has been a profoundly inspirational mathematician, with groundbreaking contributions to algebra, category theory, linguistics, theoretical physics, logic and proof theory. This Festschrift was put together on the occasion of his 90th birthday. The papers in it give a good picture of the multiple research areas where the impact of Jim Lambek's work can be felt. The volume includes contributions by prominent researchers and by their students, showing how Jim Lambek's ideas keep inspiring upcoming generations of scholars.
Book Synopsis Category Theory in Context by : Emily Riehl
Download or read book Category Theory in Context written by Emily Riehl and published by Courier Dover Publications. This book was released on 2017-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.
Book Synopsis Category Theory for Programmers (New Edition, Hardcover) by : Bartosz Milewski
Download or read book Category Theory for Programmers (New Edition, Hardcover) written by Bartosz Milewski and published by . This book was released on 2019-08-24 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Category Theory is one of the most abstract branches of mathematics. It is usually taught to graduate students after they have mastered several other branches of mathematics, like algebra, topology, and group theory. It might, therefore, come as a shock that the basic concepts of category theory can be explained in relatively simple terms to anybody with some experience in programming.That's because, just like programming, category theory is about structure. Mathematicians discover structure in mathematical theories, programmers discover structure in computer programs. Well-structured programs are easier to understand and maintain and are less likely to contain bugs. Category theory provides the language to talk about structure and learning it will make you a better programmer.
Book Synopsis Category Theory for Computing Science by : Michael Barr
Download or read book Category Theory for Computing Science written by Michael Barr and published by . This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide coverage of topics in category theory and computer science is developed in this text, including introductory treatments of cartesian closed categories, sketches and elementary categorical model theory, and triples. Over 300 exercises are included.
Book Synopsis Tensor Categories by : Pavel Etingof
Download or read book Tensor Categories written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2016-08-05 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.
Book Synopsis Handbook of Categorization in Cognitive Science by : Henri Cohen
Download or read book Handbook of Categorization in Cognitive Science written by Henri Cohen and published by Elsevier. This book was released on 2017-06-03 with total page 1277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Categorization in Cognitive Science, Second Edition presents the study of categories and the process of categorization as viewed through the lens of the founding disciplines of the cognitive sciences, and how the study of categorization has long been at the core of each of these disciplines. The literature on categorization reveals there is a plethora of definitions, theories, models and methods to apprehend this central object of study. The contributions in this handbook reflect this diversity. For example, the notion of category is not uniform across these contributions, and there are multiple definitions of the notion of concept. Furthermore, the study of category and categorization is approached differently within each discipline. For some authors, the categories themselves constitute the object of study, whereas for others, it is the process of categorization, and for others still, it is the technical manipulation of large chunks of information. Finally, yet another contrast has to do with the biological versus artificial nature of agents or categorizers. Defines notions of category and categorization Discusses the nature of categories: discrete, vague, or other Explores the modality effects on categories Bridges the category divide - calling attention to the bridges that have already been built, and avenues for further cross-fertilization between disciplines
Book Synopsis Design, User Experience, and Usability. Practice and Case Studies by : Aaron Marcus
Download or read book Design, User Experience, and Usability. Practice and Case Studies written by Aaron Marcus and published by Springer. This book was released on 2019-07-10 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNCS 11583, 11584, 11585, and 11586 constitutes the proceedings of the 8th International Conference on Design, User Experience, and Usability, DUXU 2019, held as part of the 21st International Conference, HCI International 2019, which took place in Orlando, FL, USA, in July 2019. The total of 1274 papers and 209 posters included in the 35 HCII 2019 proceedings volumes was carefully reviewed and selected from 5029 submissions. DUXU 2019 includes a total of 167 regular papers, organized in the following topical sections: design philosophy; design theories, methods, and tools; user requirements, preferences emotions and personality; visual DUXU; DUXU for novel interaction techniques and devices; DUXU and robots; DUXU for AI and AI for DUXU; dialogue, narrative, storytelling; DUXU for automated driving, transport, sustainability and smart cities; DUXU for cultural heritage; DUXU for well-being; DUXU for learning; user experience evaluation methods and tools; DUXU practice; DUXU case studies.
Download or read book Model Categories written by Mark Hovey and published by American Mathematical Soc.. This book was released on 2007 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This book offers a comprehensive study of the relationship between a model category and its homotopy category. It develops the theory of model categories, giving a development of the main examples.
Book Synopsis El Niño Southern Oscillation (ENSO) effects on fisheries and aquaculture by : Bertrand, A.
Download or read book El Niño Southern Oscillation (ENSO) effects on fisheries and aquaculture written by Bertrand, A. and published by Food & Agriculture Org.. This book was released on 2020-04-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This FAO Technical Paper synthesizes current knowledge on the impact of El Niño Southern Oscillation (ENSO) events on fisheries and aquaculture in the context of a changing climate. It describes the diversity of ENSO events (Chapter 2), ENSO forecasting (Chapter 3) and ENSO in the context of climate change (Chapter 4). It includes a global overview and regional assessment of ENSO impact (Chapters 5 and 6) and a focus on coral bleaching and damage to reefs and related fisheries (Chapter 7). Finally, it synthesizes the lessons learned and the perspectives for ENSO and preparedness in a warmer ocean (Chapter 10).
Book Synopsis The Big Book of Concepts by : Gregory Murphy
Download or read book The Big Book of Concepts written by Gregory Murphy and published by MIT Press. This book was released on 2004-01-30 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts embody our knowledge of the kinds of things there are in the world. Tying our past experiences to our present interactions with the environment, they enable us to recognize and understand new objects and events. Concepts are also relevant to understanding domains such as social situations, personality types, and even artistic styles. Yet like other phenomenologically simple cognitive processes such as walking or understanding speech, concept formation and use are maddeningly complex. Research since the 1970s and the decline of the "classical view" of concepts have greatly illuminated the psychology of concepts. But persistent theoretical disputes have sometimes obscured this progress. The Big Book of Concepts goes beyond those disputes to reveal the advances that have been made, focusing on the major empirical discoveries. By reviewing and evaluating research on diverse topics such as category learning, word meaning, conceptual development in infants and children, and the basic level of categorization, the book develops a much broader range of criteria than is usual for evaluating theories of concepts.
Book Synopsis 5 Kinds of Nonfiction by : Melissa Stewart
Download or read book 5 Kinds of Nonfiction written by Melissa Stewart and published by Taylor & Francis. This book was released on 2023-10-10 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once upon a time...children's nonfiction books were stodgy, concise, and not very kid friendly. Most were text heavy, with just a few scattered images decorating the content and meaning, rather than enhancing it. Over the last 20 years, children's nonfiction has evolved into a new breed of visually dynamic and engaging texts.In 5 Kinds of Nonfiction: Enriching Reading and Writing Instruction with Children's Books , Melissa Stewart and Dr. Marlene Correia present a new way to sort nonfiction into five major categories and show how doing so can help teachers and librarians build stronger readers and writers. Along the way, they: Introduce the 5 kinds of nonfiction: Active, Browseable, Traditional, Expository Literature, and Narrative -;and explore each category through discussions, classroom examples, and insights from leading children's book authorsOffer tips for building strong, diverse classroom texts and library collectionsProvide more than 20 activities to enhance literacy instructionInclude innovative strategies for sharing and celebrating nonfiction with students.With more than 150 exemplary nonfiction book recommendations and Stewart and Correia's extensive knowledge of literacy instruction, 5 Kinds of Nonfiction will elevate your understanding of nonfiction in ways that speak specifically to the info-kids in your classrooms, but will inspire all readers and writers.
Book Synopsis Qualitative Research: Analysis Types & Tools by : Renata Tesch
Download or read book Qualitative Research: Analysis Types & Tools written by Renata Tesch and published by Routledge. This book was released on 2013-10-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1990. There was a time when most researchers believed that the only phenomena that counted in the social sciences were those that could be measured. To make that perfectly clear, they called any phenomenon they intended to study a 'variable', indicating that the phenomenon could vary in size, length, amount, or any other quantity. Unfortunately, not many phenomena in the human world comes naturally in quantities. If we cannot even give a useful answer to what qualitative analysis is and how it works, then it seems rather incongruent to try and involve a computer, the very essence of precision and orderliness. Isn't qualitative analysis a much too individualistic and flexible an activity to be supported by a computer? Won't a computer do exactly what qualitative researchers want to avoid, namely standardize the process? Won't it mechanize and rigidify qualitative analysis? The answer to these questions is NO, and this book explains why.
Book Synopsis Tibetan Literary Genres, Texts, and Text Types by :
Download or read book Tibetan Literary Genres, Texts, and Text Types written by and published by BRILL. This book was released on 2015-09-17 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in Tibetan Literary Genres, Texts, and Text Types investigate specific Tibetan genres and texts as well as genre classification, transformation, and reception. The text types examined range from oral trickster narratives to songs, offering-rituals, biographies, and modern literature.
Book Synopsis Advances in Information Retrieval by : Paul Clough
Download or read book Advances in Information Retrieval written by Paul Clough and published by Springer. This book was released on 2011-04-12 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 33rd annual European Conference on Information Retrieval Research, ECIR 2011, held in Dublin, Ireland, in April 2010. The 45 revised full papers presented together with 24 poster papers, 17 short papers, and 6 tool demonstrations were carefully reviewed and selected from 223 full research paper submissions and 64 poster/demo submissions. The papers are organized in topical sections on text categorization, recommender systems, Web IR, IR evaluation, IR for Social Networks, cross-language IR, IR theory, multimedia IR, IR applications, interactive IR, and question answering /NLP.
Book Synopsis Writing Irresistible Kidlit by : Mary Kole
Download or read book Writing Irresistible Kidlit written by Mary Kole and published by Penguin. This book was released on 2012-12-04 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Captivate the hearts and minds of young adult readers! Writing for young adult (YA) and middle grade (MG) audiences isn't just "kid's stuff" anymore--it's kidlit! The YA and MG book markets are healthier and more robust than ever, and that means the competition is fiercer, too. In Writing Irresistible Kidlit, literary agent Mary Kole shares her expertise on writing novels for young adult and middle grade readers and teaches you how to: • Recognize the differences between middle grade and young adult audiences and how it impacts your writing. • Tailor your manuscript's tone, length, and content to your readership. • Avoid common mistakes and cliches that are prevalent in YA and MG fiction, in respect to characters, story ideas, plot structure and more. • Develop themes and ideas in your novel that will strike emotional chords. Mary Kole's candid commentary and insightful observations, as well as a collection of book excerpts and personal insights from bestselling authors and editors who specialize in the children's book market, are invaluable tools for your kidlit career. If you want the skills, techniques, and know-how you need to craft memorable stories for teens and tweens, Writing Irresistible Kidlit can give them to you.
