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Abstract Mathematical Cognition

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Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889198160 Year: Pages: 111 DOI: 10.3389/978-2-88919-816-0 Language: English
Publisher: Frontiers Media SA
Subject: Neurology --- Science (General)
Added to DOAB on : 2016-01-19 14:05:46
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Despite the importance of mathematics in our educational systems little is known about how abstract mathematical thinking emerges. Under the uniting thread of mathematical development, we hope to connect researchers from various backgrounds to provide an integrated view of abstract mathematical cognition. Much progress has been made in the last 20 years on how numeracy is acquired. Experimental psychology has brought to light the fact that numerical cognition stems from spatial cognition. The findings from neuroimaging and single cell recording experiments converge to show that numerical representations take place in the intraparietal sulcus. Further research has demonstrated that supplementary neural networks might be recruited to carry out subtasks; for example, the retrieval of arithmetic facts is done by the angular gyrus. Now that the neural networks in charge of basic mathematical cognition are identified, we can move onto the stage where we seek to understand how these basics skills are used to support the acquisition and use of abstract mathematical concepts.

Representation in the Brain

Authors: --- --- --- --- et al.
Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889455966 Year: Pages: 147 DOI: 10.3389/978-2-88945-596-6 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Psychology
Added to DOAB on : 2019-01-23 14:53:43
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This eBook contains ten articles on the topic of representation of abstract concepts, both simple and complex, at the neural level in the brain. Seven of the articles directly address the main competing theories of mental representation – localist and distributed. Four of these articles argue – either on a theoretical basis or with neurophysiological evidence – that abstract concepts, simple or complex, exist (have to exist) at either the single cell level or in an exclusive neural cell assembly. There are three other papers that argue for sparse distributed representation (population coding) of abstract concepts. There are two other papers that discuss neural implementation of symbolic models. The remaining paper deals with learning of motor skills from imagery versus actual execution. A summary of these papers is provided in the Editorial.

Quantization on Nilpotent Lie Groups

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Book Series: Progress in Mathematics ISSN: 07431643 ISBN: 9783319295572 9783319295589 Year: Volume: 314 Pages: 557 DOI: 10.1007/978-3-319-29558-9 Language: English
Publisher: Springer Nature
Subject: Statistics --- Biotechnology --- Computer Science --- Pharmacy and materia medica
Added to DOAB on : 2016-04-21 11:24:52
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This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups.The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.

Polyhedral Structures, Symmetry, and Applications

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ISBN: 9783038426899 9783038426882 Year: Pages: 322 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics
Added to DOAB on : 2018-02-08 13:24:15
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Symmetry is an intriguing phenomenon manifesting itself in art, nature, and the mind. This Special Issue book features 19 articles about discrete geometric and combinatorial polyhedral structures, with symmetry as the unifying theme. These articles present an attractive mix of topics and have appeared in two related Special Issues of Symmetry, on "Polyhedra" in 2012/2013 and on "Polyhedral Structures" in 2016/2017. Specific topic areas covered include polyhedra, tilings, and crystallography; abstract polyhedra, maps on surfaces, and graphs; and polyhedral structures, arts, and architectural design.

Embodied Cognition over the Lifespan and in Applied Settings

Authors: ---
Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889454921 Year: Pages: 293 DOI: 10.3389/978-2-88945-492-1 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Psychology
Added to DOAB on : 2019-01-23 14:53:42
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While Embodied Cognition has now been accepted as mainstream in Cognitive Science, the study of its potential contribution to understding child developemnt and ageing, as well as its potential applications, is still in its infancy. This collection of articles explores the contribution of Embodied Cognition to studying the lifespan and potential applied fields. The contributions are theoretical and empirical and offer an important framework for future research and its applications.

The Saburo Hasegawa Reader

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ISBN: 9780520970922 9780520298996 Year: Pages: 208 DOI: 10.1525/luminos.70 Language: English
Publisher: University of California Press
Subject: History --- Arts in general
Added to DOAB on : 2019-07-03 11:21:05
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Published on the occasion of the 2019 exhibition “Changing and Unchanging Things: Noguchi and Hasegawa in Postwar Japan,” The Saburo Hasegawa Reader encompasses a selection of writings by the Japanese artist, theorist, essayist, teacher, and curator Saburo Hasegawa (1908–1957), translated into English for the first time. Credited with introducing abstract art to Japan in the 1930s, Hasegawa also became influential as a lecturer on Japan and its aesthetic and philosophical traditions in New York and San Francisco before his premature death in 1957. A memorial volume, initiated by the Oakland Art Museum but left unpublished since the 1950s, as well as interviews from students at California College of Arts and Crafts, helps to establish Hasegawa as a thoughtful bridge between East and West and an engaging and thoughtful interpreter of classical and contemporary sources.

Deductive verification of object-oriented software : dynamic frames, dynamic logic and predicate abstraction

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ISBN: 9783866446236 Year: Pages: xxi, 269 p. DOI: 10.5445/KSP/1000021694 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Computer Science
Added to DOAB on : 2019-07-30 20:02:01
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Software systems play a central role in modern society, and their correctness is often crucially important. Formal specification and verification are promising approaches for ensuring correctness more rigorously than just by testing. This work presents an approach for deductively verifying design-by-contract specifications of object-oriented programs. The approach is based on dynamic logic, and addresses the challenges of modularity and automation using dynamic frames and predicate abstraction.

Tourism Destination Management

Authors: ---
ISBN: 9783039214716 9783039214723 Year: Pages: 122 DOI: 10.3390/books978-3-03921-472-3 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Economics
Added to DOAB on : 2019-12-09 11:49:15
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This book collected studies focused on the management of tourist destinations. Destinations are complex and adaptive systems, where the different elements that make them up have to be oriented towards achieving a common objective that improves the competitiveness of the destination. Five main lines of research on tourist destinations can be established: 1) the management, planning, and marketing of destinations, with special attention to the tourism supply chain, communication, and integral management; 2) the sustainability of resources and capabilities; 3) the renewal of destinations in order to update their offer and main resources to maintain competitiveness; 4) online reputation and communication through social media in order to create and enhance a strong brand image and customer loyalty; and 5) the application of new technologies in order to develop smart destinations. The book is made up of five research studies that focus on analyzing the transition towards a more circular tourist activity in hotels, image as a competitive factor of destinations, the value of cultural creativity, the coherence of online reputation, and the relationship between hotel prices and online reputation in different tourist destinations.

Religion and Art: Rethinking Aesthetic and Auratic Experiences in 'Post-Secular' Times

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ISBN: 9783039210329 9783039210336 Year: Pages: 102 DOI: 10.3390/books978-3-03921-033-6 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Religion
Added to DOAB on : 2019-06-26 08:44:06
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How can we think of the “aura” of (sacred) contexts and (sacred) works? How to think of individual and collective (esthetic/religious) experiences? What to make of the manipulative dimension of (religious and esthetic) “auratic” experiences? Is the work of art still capable of mediating the experience of the “sacred,” and under what conditions? What is the significance of the “eschatological” dimension of both art and religion (the sense of “ending”)? Can theology offer a way to reaffirm the creative capacities of the human being as something that characterizes the very condition of being human? This Special Issue aspires to contribute to the growing literature on contemporary art and religion, and to explore the new ways of thinking of art and the sacred (in their esthetic, ideological, and institutional dimensions) in the context of contemporary culture.

Joseph Fourier 250th Birthday. Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst century

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ISBN: 9783038977469 Year: Pages: 260 DOI: 10.3390/books978-3-03897-747-6 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-04-05 11:17:10
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For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.

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