Quipu Decorated Permutation Representations Of Finite Groups

Download or read book Quipu: Decorated Permutation Representations Of Finite Groups written by Yongju Bae and published by World Scientific. This book was released on 2024-06-27 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies dihedral groups, dicyclic groups, other finite subgroups of the 3-dimensional sphere, and the 2-fold extensions of the symmetric group on 4 letters from the point of view of decorated string diagrams of permutations. These are our metaphorical quipu. As you might expect, the book is replete with illustrations. In (almost) all cases, explicit diagrams for the elements of the group are given. The exception is the binary icosahedral group in which only the generators and relations are exhibited.

Download or read book Quipu written by J Scott Carter Byeorhi Kim Yongju Bae and published by . This book was released on 2024-07-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies dihedral groups, dicyclic groups, other finite subgroups of the 3-dimensional sphere, and the 2-fold extensions of the symmetric group on 4 letters from the point of view of decorated string diagrams of permutations. These are our metaphorical quipu. As you might expect, the book is replete with illustrations. In (almost) all cases, explicit diagrams for the elements of the group are given. The exception is the binary icosahedral group in which only the generators and relations are exhibited.

Download or read book Pocket Anatomy Of Cerebrovascular Imaging And Topography written by Dong-eog Kim and published by World Scientific. This book was released on 2020-04-04 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides updated knowledge on cerebrovascular imaging-related anatomy and topographic maps for neurologists, neurosurgeons, neuroradiologists, and neurovascular researchers as well as medical or neuroscience students. It includes not only high-resolution cerebrovascular images but also topographic brain maps.The topographic brain maps will provide (a) 'recently-updated' knowledge on cerebrovascular territories, which are of key clinical importance in patients with stroke; (b) age-specific WMH maps that allows a 'tailored patient-specific' interpretation in stroke- and vascular dementia-related clinical practice; and (c) easy-to-use 'reference maps' that allow prompt and reliable visual estimation of cerebral infarct volumes. This pocket book will serve as the best format for these image datasets to be looked up and referenced by the vast majority of readers.Apart from being a handy reference for neurovascular or neuroscience researchers, this book can also be used as a supplementary text book in medical schools.

Download or read book Math in Society written by David Lippman and published by . This book was released on 2012-09-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.

Download or read book Mathematics Across Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

Download or read book Software Studies written by Matthew Fuller and published by MIT Press. This book was released on 2008 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of short expository, critical and speculative texts offers a field guide to the cultural, political, social and aesthetic impact of software. Experts from a range of disciplines each take a key topic in software and the understanding of software, such as algorithms and logical structures.

Download or read book Abstraction in Artificial Intelligence and Complex Systems written by Lorenza Saitta and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstraction is a fundamental mechanism underlying both human and artificial perception, representation of knowledge, reasoning and learning. This mechanism plays a crucial role in many disciplines, notably Computer Programming, Natural and Artificial Vision, Complex Systems, Artificial Intelligence and Machine Learning, Art, and Cognitive Sciences. This book first provides the reader with an overview of the notions of abstraction proposed in various disciplines by comparing both commonalities and differences. After discussing the characterizing properties of abstraction, a formal model, the KRA model, is presented to capture them. This model makes the notion of abstraction easily applicable by means of the introduction of a set of abstraction operators and abstraction patterns, reusable across different domains and applications. It is the impact of abstraction in Artificial Intelligence, Complex Systems and Machine Learning which creates the core of the book. A general framework, based on the KRA model, is presented, and its pragmatic power is illustrated with three case studies: Model-based diagnosis, Cartographic Generalization, and learning Hierarchical Hidden Markov Models.