NBSIR.

NBSIR.
Author:
Publisher:
Total Pages: 468
Release: 1977
Genre: Research, Industrial
ISBN:

NIST Serial Holdings

NIST Serial Holdings
Author: National Institute of Standards and Technology (U.S.)
Publisher:
Total Pages: 268
Release: 2002
Genre: Engineering
ISBN:

Axiomatic, Enriched and Motivic Homotopy Theory

Axiomatic, Enriched and Motivic Homotopy Theory
Author: John Greenlees
Publisher: Springer Science & Business Media
Total Pages: 396
Release: 2012-12-06
Genre: Mathematics
ISBN: 940070948X

The NATO Advanced Study Institute "Axiomatic, enriched and rna tivic homotopy theory" took place at the Isaac Newton Institute of Mathematical Sciences, Cambridge, England during 9-20 September 2002. The Directors were J.P.C.Greenlees and I.Zhukov; the other or ganizers were P.G.Goerss, F.Morel, J.F.Jardine and V.P.Snaith. The title describes the content well, and both the event and the contents of the present volume reflect recent remarkable successes in model categor ies, structured ring spectra and homotopy theory of algebraic geometry. The ASI took the form of a series of 15 minicourses and a few extra lectures, and was designed to provide background, and to bring the par ticipants up to date with developments. The present volume is based on a number of the lectures given during the workshop. The ASI was the opening workshop of the four month programme "New Contexts for Stable Homotopy Theory" which explored several themes in greater depth. I am grateful to the Isaac Newton Institute for providing such an ideal venue, the NATO Science Committee for their funding, and to all the speakers at the conference, whether or not they were able to contribute to the present volume. All contributions were refereed, and I thank the authors and referees for their efforts to fit in with the tight schedule. Finally, I would like to thank my coorganizers and all the staff at the Institute for making the ASI run so smoothly. J.P.C.GREENLEES.

Decentralized Control of Complex Systems

Decentralized Control of Complex Systems
Author: Dragoslav D. Siljak
Publisher: Courier Corporation
Total Pages: 546
Release: 2013-07-24
Genre: Technology & Engineering
ISBN: 0486294374

Starting with a graph-theoretic framework for structural modeling of complex systems, this text presents results related to robust stabilization via decentralized state feedback. Subsequent chapters explore optimization, output feedback, the manipulative power of graphs, overlapping decompositions and the underlying inclusion principle, and reliability design. An appendix provides efficient graph algorithms. 1991 edition.

Finite Dimensional Linear Systems

Finite Dimensional Linear Systems
Author: Roger W. Brockett
Publisher: SIAM
Total Pages: 260
Release: 2015-05-26
Genre: Mathematics
ISBN: 1611973880

Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of nontrivial examples and many exercises.

Global Subdirect Products

Global Subdirect Products
Author: Peter H. Krauss
Publisher: American Mathematical Soc.
Total Pages: 113
Release: 1979
Genre: Algebra
ISBN: 0821822101

An internal characterization is given of those subdirect products which are structures of global sections of discrete sheaves. Such subdirect products are called global. Patching of subdirect products over a dual ring of subsets of the index set is defined, and a uniform method of constructing global subdirect products from the patching property is developed. The role of the hull-kernel topology in sheaf constructions is analyzed in the setting of universal algebra. Global subdirect products which come from Hausdorff sheaves over Boolean spaces (Boolean subdirect products) are treated in terms of the normal transform. Global representation of varieties is defined and investigated. Finally, applications to the sheaf representation of rings and lattice ordered rings are a given.

Cognitive Science

Cognitive Science
Author: Harald Maurer
Publisher: CRC Press
Total Pages: 400
Release: 2021-07-08
Genre: Medical
ISBN: 135104351X

The Mind and Brain are usually considered as one and the same nonlinear, complex dynamical system, in which information processing can be described with vector and tensor transformations and with attractors in multidimensional state spaces. Thus, an internal neurocognitive representation concept consists of a dynamical process which filters out statistical prototypes from the sensorial information in terms of coherent and adaptive n-dimensional vector fields. These prototypes serve as a basis for dynamic, probabilistic predictions or probabilistic hypotheses on prospective new data (see the recently introduced approach of "predictive coding" in neurophilosophy). Furthermore, the phenomenon of sensory and language cognition would thus be based on a multitude of self-regulatory complex dynamics of synchronous self-organization mechanisms, in other words, an emergent "flux equilibrium process" ("steady state") of the total collective and coherent neural activity resulting from the oscillatory actions of neuronal assemblies. In perception it is shown how sensory object informations, like the object color or the object form, can be dynamically related together or can be integrated to a neurally based representation of this perceptual object by means of a synchronization mechanism ("feature binding"). In language processing it is shown how semantic concepts and syntactic roles can be dynamically related together or can be integrated to neurally based systematic and compositional connectionist representations by means of a synchronization mechanism ("variable binding") solving the Fodor-Pylyshyn-Challenge. Since the systemtheoretical connectionism has succeeded in modeling the sensory objects in perception as well as systematic and compositional representations in language processing with this vector- and oscillation-based representation format, a new, convincing theory of neurocognition has been developed, which bridges the neuronal and the cognitive analysis level. The book describes how elementary neuronal information is combined in perception and language, so it becomes clear how the brain processes this information to enable basic cognitive performance of the humans.