A Generative Theory Of Shape
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A Generative Theory Of Shape
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Author : Michael Leyton
language : en
Publisher: Springer
Release Date : 2003-06-30
A Generative Theory Of Shape written by Michael Leyton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.
The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence –(1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets. We shall show that, if generativity satis?es these two basic criteria of - telligence, then it has a powerful mathematical structure and considerable applicability to the computational disciplines. The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability. The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically. (1) Ma- mization of transfer will be formulated in terms of wreath products. Wreath products are groups in which there is an upper subgroup (which we will call a control group) that transfers a lower subgroup (which we will call a ?ber group) onto copies of itself. (2) maximization of recoverability is insured when the control group is symmetry-breaking with respect to the ?ber group.
A Generative Theory Of Shape
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Author : Michael Leyton
language : en
Publisher: Springer
Release Date : 2001-10-26
A Generative Theory Of Shape written by Michael Leyton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-26 with Computers categories.
The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence –(1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets. We shall show that, if generativity satis?es these two basic criteria of - telligence, then it has a powerful mathematical structure and considerable applicability to the computational disciplines. The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability. The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically. (1) Ma- mization of transfer will be formulated in terms of wreath products. Wreath products are groups in which there is an upper subgroup (which we will call a control group) that transfers a lower subgroup (which we will call a ?ber group) onto copies of itself. (2) maximization of recoverability is insured when the control group is symmetry-breaking with respect to the ?ber group.
Process Grammar The Basis Of Morphology
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Author : Michael Leyton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-02
Process Grammar The Basis Of Morphology written by Michael Leyton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-02 with Technology & Engineering categories.
Leyton's Process Grammar has been applied by scientists and engineers in many disciplines including medical diagnosis, geology, computer-aided design, meteorology, biological anatomy, neuroscience, chemical engineering, etc. This book demonstrates the following: The Process Grammar invents several entirely new concepts in biological morphology and manufacturing design, and shows that these concepts are fundamentally important. The Process Grammar has process-inference rules that give, to morphological transitions, powerful new causal explanations. Remarkably, the book gives a profound unification of biological morphology and vehicle design. The book invents over 30 new CAD operations that realize fundamentally important functions of a product. A crucial fact is that the Process Grammar is an example of the laws in Leyton's Generative Theory of Shape which give the ability to recover the design intents for which the shape features of a CAD model were created. The book demonstrates that the Process Grammar recovers important design intents in biological morphology and manufacturing design. In large-scale manufacturing systems, the recovery of design intents is important for solving the interoperability problem and product lifecycle management. This book is one of a series of books in Springer that elaborates Leyton's Generative Theory of Shape.
Spatial Cognition Iv Reasoning Action Interaction
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Author : C. Freksa
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03
Spatial Cognition Iv Reasoning Action Interaction written by C. Freksa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03 with Computers categories.
This book constitutes the thoroughly refereed postproceedings of the International Conference on Spatial Cognition 2004 held in Fauenchiemsee, Germany in October 2004. The 27 revised full papers presented were carefully reviewed and selected from 50 submissions. The papers are organized in topical sections on route directions, wayfinding, and spatial behaviour; description of space, prepositions and reference; meta-models, diagrams, and maps; spatial-temporal representation and reasoning; and robot mapping and piloting.
Statistics In Musicology
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Author : Jan Beran
language : en
Publisher: CRC Press
Release Date : 2003-07-15
Statistics In Musicology written by Jan Beran and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-15 with Mathematics categories.
Traditionally, statistics and music are not generally associated with each other. However, ...intelligent... music software, computer digitization, and other advanced techniques and technologies have precipitated the need for standard statistical models to answer basic musicological questions. Statistics In Musicology presents an unprecedented introduction to statistical and mathematical methods developed for use in music analysis, music theory, and performance theory. It explores concrete methods for data generation and numerical encoding of musical data and serves as a practical reference for a wide audience, including statisticians, mathematicians, musicologists, and musicians.
The Evolution Of Human Language
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Author : Wolfgang Wildgen
language : en
Publisher: John Benjamins Publishing
Release Date : 2004-06-30
The Evolution Of Human Language written by Wolfgang Wildgen and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-30 with Psychology categories.
Wolfgang Wildgen presents three perspectives on the evolution of language as a key element in the evolution of mankind in terms of the development of human symbol use. (1) He approaches this question by constructing possible scenarios in which mechanisms necessary for symbolic behavior could have developed, on the basis of the state of the art in evolutionary anthropology and genetics. (2) Non-linguistic symbolic behavior such as cave art is investigated as an important clue to the developmental background to the origin of language. Creativity and innovation and a population's ability to integrate individual experiments are considered with regard to historical examples of symbolic creativity in the visual arts and natural sciences. (3) Probable linguistic 'fossils' of such linguistic innovations are examined. The results of this study allow for new proposals for a 'protolanguage' and for a theory of language within a broader philosophical and semiotic framework, and raises interesting questions as to human consciousness, universal grammar, and linguistic methodology. (Series B)
Symmetry Ornament And Modularity
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Author : Slavik Vlado Jablan
language : en
Publisher: World Scientific
Release Date : 2002-08-13
Symmetry Ornament And Modularity written by Slavik Vlado Jablan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-13 with Mathematics categories.
This book discusses the origins of ornamental art — illustrated by the oldest examples, dating mostly from the paleolithic and neolithic ages, and considered from the theory-of-symmetry point of view. Because of its multidisciplinary nature, it will interest a wide range of readers: mathematicians, artists, art historians, architects, psychologists, and anthropologists.The book represents the complete analysis of plane symmetry structures, so it can be used by artists as a guide to the creation of new symmetry patterns. Some parts of the contents (such as Chapter 4, about conformal symmetry, and Chapter 6, about modularity in art) give the reader an opportunity to develop computer programs for producing images illustrating the corresponding symmetry forms.
Advances In The Mathematical Sciences
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Author : Alyson Deines
language : en
Publisher: Springer
Release Date : 2018-10-31
Advances In The Mathematical Sciences written by Alyson Deines and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-31 with Mathematics categories.
Featuring research from the 2017 research symposium of the Association for Women in Mathematics, this volume presents recent findings in pure mathematics and a range of advances and novel applications in fields such as engineering, biology, and medicine. Featured topics include geometric group theory, generalized iterated wreath products of cyclic groups and symmetric groups, Conway-Coxeter friezes and mutation, and classroom experiments in teaching collegiate mathematics. A review of DNA topology and a computational study of learning-induced sequence reactivation during sharp-wave ripples are also included in this volume. Numerous illustrations and tables convey key results throughout the book. This volume highlights research from women working in academia, industry, and government. It is a helpful resource for researchers and graduate students interested in an overview of the latest research in mathematics.
Perception Beyond Inference
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Author : Liliana Albertazzi
language : en
Publisher: MIT Press
Release Date : 2011-02-25
Perception Beyond Inference written by Liliana Albertazzi and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-25 with Psychology categories.
Proposing a new paradigm for perceptual science that goes beyond standard information theory and digital computation. This book breaks with the conventional model of perception that views vision as a mere inference to an objective reality on the basis of "inverse optics." The authors offer the alternative view that perception is an expressive and awareness-generating process. Perception creates semantic information in such a way as to enable the observer to deal efficaciously with the chaotic and meaningless structure present at the physical boundary between the body and its surroundings. Vision is intentional by its very nature; visual qualities are essential and real, providing an aesthetic and meaningful interface to the structures of physics and the state of the brain. This view brings perception firmly in line with ethology and modern evolutionary biology and suggests new approaches in all disciplines that study, or require an understanding of, the ontology of mind. The book is the joint effort of a multidisciplinary group of authors. Topics covered include the relationships among stimuli, neuronal processes, and visual awareness. After considering the mind-dependent growing of information, the book treats time and dynamics; color, shape, and space; language and perception; perception, art, and design.
Trubetzkoy S Orphan
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Author : Rajendra Singh
language : en
Publisher: John Benjamins Publishing
Release Date : 1996-01-01
Trubetzkoy S Orphan written by Rajendra Singh and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Language Arts & Disciplines categories.
In putting 'morphonology' up for adoption as a chapitre particulier in 1929, Trubetzkoy started a debate regarding the boundary between phonology and morphology that has not ended yet. Essentially a record of a roundtable devoted to that boundary (Montréal, October 1994), Trubetzkoy's Orphan is a full and fascinating picture of some very important contemporary attempts to define it. In addition to papers that focus on it, the volume also contains important papers on the closely related topics of 'morphoprosody' and the 'lexicon', views from 'the floor' and 'the outside', and edited transcripts of the discussions that took place at the Montréal Roundtable. Intended both for practicising and future phonologists and morpho-logists, Trubetzkoy's Orphan is a valuable record of a very important debate regarding one of the most central questions in phonology and morphology.