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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.
Categories, Types, and Structures by Andrea Asperti,Giuseppe Longo Pdf
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.
Categories and Types in Logic, Language, and Physics by Claudia Casadio,Bob Coecke,Michael Moortgat,Philip Scott Pdf
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.
Category Theory for Programmers (New Edition, Hardcover) by Bartosz Milewski Pdf
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.
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.
Category Theory for Computing Science by Michael Barr,Charles Wells Pdf
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.
Design, User Experience, and Usability. Practice and Case Studies by Aaron Marcus,Wentao Wang Pdf
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.
Handbook of Categorization in Cognitive Science by Henri Cohen,Claire Lefebvre Pdf
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
El Niño Southern Oscillation (ENSO) effects on fisheries and aquaculture by Bertrand, A. ,Lengaigne, M.,Takahashi, K.,Avadí, A.,Poulain, F.,Harrod, C. Pdf
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).
Tensor Categories by Pavel Etingof,Shlomo Gelaki,Dmitri Nikshych,Victor Ostrik Pdf
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.
Qualitative Research: Analysis Types & Tools by Renata Tesch Pdf
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.
Making Play Just Right: Unleashing the Power of Play in Occupational Therapy by Heather Kuhaneck,Susan L. Spitzer Pdf
At the heart of Making Play Just Right: Unleashing the Power of Play in Occupational Therapy is the belief that the most effective way to ensure pediatric occupational therapy is through incorporating play. The Second Edition is a unique resource on pediatric activity and therapy analysis for occupational therapists and students. This text provides the background, history, evidence, and general knowledge needed to use a playful approach to pediatric occupational therapy, as well as the specific examples and recommendations needed to help therapists adopt these strategies.
Advances in Information Retrieval by Paul Clough,Colum Foley,Cathal Gurrin,Gareth Jones,Wessel Kraaij,Hyowon Lee,Vanessa Murdock Pdf
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.
The Security Risk Assessment Handbook by Douglas Landoll Pdf
Conducted properly, information security risk assessments provide managers with the feedback needed to manage risk through the understanding of threats to corporate assets, determination of current control vulnerabilities, and appropriate safeguards selection. Performed incorrectly, they can provide the false sense of security that allows potential threats to develop into disastrous losses of proprietary information, capital, and corporate value. Picking up where its bestselling predecessors left off, The Security Risk Assessment Handbook: A Complete Guide for Performing Security Risk Assessments, Third Edition gives you detailed instruction on how to conduct a security risk assessment effectively and efficiently, supplying wide-ranging coverage that includes security risk analysis, mitigation, and risk assessment reporting. The third edition has expanded coverage of essential topics, such as threat analysis, data gathering, risk analysis, and risk assessment methods, and added coverage of new topics essential for current assessment projects (e.g., cloud security, supply chain management, and security risk assessment methods). This handbook walks you through the process of conducting an effective security assessment, and it provides the tools, methods, and up-to-date understanding you need to select the security measures best suited to your organization. Trusted to assess security for small companies, leading organizations, and government agencies, including the CIA, NSA, and NATO, Douglas J. Landoll unveils the little-known tips, tricks, and techniques used by savvy security professionals in the field. It includes features on how to Better negotiate the scope and rigor of security assessments Effectively interface with security assessment teams Gain an improved understanding of final report recommendations Deliver insightful comments on draft reports This edition includes detailed guidance on gathering data and analyzes over 200 administrative, technical, and physical controls using the RIIOT data gathering method; introduces the RIIOT FRAME (risk assessment method), including hundreds of tables, over 70 new diagrams and figures, and over 80 exercises; and provides a detailed analysis of many of the popular security risk assessment methods in use today. The companion website (infosecurityrisk.com) provides downloads for checklists, spreadsheets, figures, and tools.
The SAGE International Encyclopedia of Travel and Tourism by Linda L. Lowry Pdf
Taking a global and multidisciplinary approach, The SAGE International Encyclopedia of Travel and Tourism brings together a team of international scholars to examine the travel and tourism industry, which is expected to grow at an annual rate of four percent for the next decade. In more than 500 entries spanning four comprehensive volumes, the Encyclopedia examines the business of tourism around the world paying particular attention to the social, economic, environmental, and policy issues at play. The book examines global, regional, national, and local issues including transportation, infrastructure, the environment, and business promotion. By looking at travel trends and countries large and small, the Encyclopedia analyses a wide variety of challenges and opportunities facing the industry. In taking a comprehensive and global approach, the Encyclopedia approaches the field of travel and tourism through the numerous disciplines it reaches, including the traditional tourism administration curriculum within schools of business and management, economics, public policy, as well as social science disciplines such as the anthropology and sociology. Key features include: More than 500 entries authored and signed by key academics in the field Entries on individual countries that details the health of the tourism industry, policy and planning approaches, promotion efforts, and primary tourism draws. Additional entries look at major cities and popular destinations Coverage of travel trends such as culinary tourism, wine tourism, agritourism, ecotourism, geotourism, slow tourism, heritage and cultural-based tourism, sustainable tourism, and recreation-based tourism Cross-references and further readings A Reader’s Guide grouping articles by disciplinary areas and broad themes
