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Category Theory For The Sciences

Author : David I. Spivak
ISBN : 9780262028134
Genre : Computers
File Size : 65.88 MB
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An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.
Category: Computers

Basic Category Theory For Computer Scientists

Author : Benjamin C. Pierce
ISBN : 0262660717
Genre : Computers
File Size : 38.98 MB
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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
Category: Computers

Spatial Cognition Ii

Author : Christian Freksa
ISBN : 9783540675846
Genre : Computers
File Size : 33.17 MB
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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.
Category: Computers

Categorical Logic

Author : Andrew M. Pitts
ISBN : UCSC:32106013157604
Genre : Logic, Symbolic and mathematical
File Size : 83.60 MB
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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."
Category: Logic, Symbolic and mathematical

Linguistic Categories Auxiliaries And Related Puzzles

Author : F. Heny
ISBN : 9789400969896
Genre : Language Arts & Disciplines
File Size : 57.36 MB
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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.
Category: Language Arts & Disciplines

Innovative Assessment For The 21st Century

Author : Valerie J. Shute
ISBN : 1441965300
Genre : Education
File Size : 46.13 MB
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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?
Category: Education