Category Theory for the Sciences

Author: David I. Spivak

Publisher: MIT Press

ISBN: 0262028131

Category: Computers

Page: 486

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An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.
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Basic Category Theory for Computer Scientists

Author: Benjamin C. Pierce,Benjamin C.. Pierce,Ierce Benjamin

Publisher: MIT Press

ISBN: 9780262660716

Category: Computers

Page: 100

View: 5982

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Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial * Applications * Further Reading
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Spatial Cognition II

Integrating Abstract Theories, Empirical Studies, Formal Methods, and Practical Applications

Author: Christian Freksa,Wilfried Brauer,Christopher Habel,Karl F. Wender

Publisher: Springer Science & Business Media

ISBN: 3540675841

Category: Computers

Page: 424

View: 8873

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This book constitutes the second volume documenting the results achieved within a priority program on spatial cognition by the German Science Foundation (DFG). The 28 revised full papers presented were carefully reviewed and reflect the increased interdisciplinary cooperation in the area. The book is divided into sections on maps and diagrams, motion and spatial reference, spatial relations and spatial inference, navigation in real and virtual spaces, and spatial memory.
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Categorical Logic

Author: Andrew M. Pitts

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 94

View: 8403

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Abstract: "This document provides an introduction to the interaction between category theory and mathematical logic which is slanted towards computer scientists."
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Linguistic Categories: Auxiliaries and Related Puzzles

Volume One: Categories

Author: F. Heny,B. Richards

Publisher: Springer Science & Business Media

ISBN: 9400969899

Category: Language Arts & Disciplines

Page: 294

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VIrtually all the papers in these volumes originated in presentations at the Fourth Groningen Round Table, held in July 1980. That conference, organ ized by the Institute for General linguistics of Groningen University was the fourth in an irregular series of meetings devoted to issues of topical interest to linguists. Its predecessor, the Third Round Table, was held in June 1976, and dealt with the semantics of natural language. A selection of the papers was published as Syntax and Semantics 10, Selections from the Third Groningen Round Table, ed. by F. Heny and H. Schnelle, Academic Press, 1979. This fourth meeting was more narrowly focussed. The original intention was to examine the hypothesis of Akrnajian, Steele and Wasow in their paper 'The Category AUX in Universal Grammar', Linguistic Inquiry 10, 1-64. Ultimately the topic was broadened considerably to encompass not only the syntax, semantics and morphology of auxiliaries and related elements, but to tackle the problem (implicit in the original work of Akmajian, Steele and Wasow) of justifying the selection of categories for the analysis of natural language. In the summer of 1979, a workshop and short, informal conference were held at the University of Salzburg, in preparation for the Round Table. These were organized in conjunction with the Summer Institute of the linguistic Society of America. The cooperation of the LSA and of the University of Salzburg, and in particular of the Director of that Institute, Professor Gaberell Drachman, is hereby gratefully acknowledged.
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Innovative Assessment for the 21st Century

Supporting Educational Needs

Author: Valerie J. Shute,Betsy Jane Becker

Publisher: Springer Science & Business Media

ISBN: 9781441965301

Category: Education

Page: 257

View: 6457

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In today’s rapidly changing and information-rich world, students are not acquiring adequate knowledge and skills to prepare them for careers in mathematics, science, and technology with the traditional approach to assessment and instruction. New competencies (e.g., information communication and technology skills) are needed to deal successfully with the deluge of data. In order to accomplish this, new "educationally valuable" skills must be acknowledged and assessed. Toward this end, the skills we value and support for a society producing knowledge workers, not simply service workers, must be identified, together with methods for their measurement. Innovative Assessment for the 21st Century explores the faces of future assessment—and ask hard questions, such as: What would an assessment that captures all of the above attributes look like? Should it be standardized? What is the role of the professional teacher?
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Advances in Statistical Methods for the Health Sciences

Applications to Cancer and AIDS Studies, Genome Sequence Analysis, and Survival Analysis

Author: Jean-Louis Auget,N. Balakrishnan,Mounir Mesbah,Geert Molenberghs

Publisher: Springer Science & Business Media

ISBN: 9780817645427

Category: Mathematics

Page: 540

View: 6838

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Statistical methods have become an increasingly important and integral part of research in the health sciences. Many sophisticated methodologies have been developed for specific applications and problems. This self-contained comprehensive volume covers a wide range of topics pertaining to new statistical methods in the health sciences, including epidemiology, pharmacovigilance, quality of life, survival analysis, and genomics. The book will serve the health science community as well as practitioners, researchers, and graduate students in applied probability, statistics, and biostatistics.
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