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Proceedings of a NATO Advanced Research Workshop held in Granada, Spain, October 1991, with the objective of bringing together physicists and biologists with a common interest in pattern growth and in applying new tools across the areas of their disciplines to explore the similarities and difference
Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index
Leonard M. Sander is Professor of Physics at the University of Michigan. His research interests are in theoretical condensed matter physics and non-equilibrium statistical physics, especially the study of growth patterns.
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Condición: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 444 | Sprache: Englisch | Produktart: Sonstiges. Nº de ref. del artículo: 3019757/202
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Gebunden. Condición: New. Cell Colonies: Fractal Growth and Morphological Change in Bacterial Colony Formation M. Matsushita, et al. Surfaces and Interfaces: Dynamic Scaling in Surface Growth Phenomena F. Family. Diffusion Limited Aggregation, Viscous Fingering and Fracture: Ionic. Nº de ref. del artículo: 897687928
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Hardcover. Condición: Very Good. 8vo, hardcover. No dj. Vg+ condition. Single non-circulating ex-lib stamp on top text-block edge (only marking), contents bright, crisp & clean, unread. ix, 429 p., illus. Proceedings of a NATO Advanced Research Workshop on Growth Patterns in Physical Sciences and Biology, held October 7-11, 1991, in Granada, Spain. Nº de ref. del artículo: 1091128.30
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Buch. Condición: Neu. Neuware - Cell Colonies: Fractal Growth and Morphological Change in Bacterial Colony Formation; M. Matsushita, et al. Surfaces and Interfaces: Dynamic Scaling in Surface Growth Phenomena; F. Family. Diffusion Limited Aggregation, Viscous Fingering and Fracture: Ionic Concentration and Electric Field in Fractal Electrodeposition; M. Rosso, et al. Cellular Patterns: 2D Manifolds Arising from Local Interactions; H. Terrones, et al. Dynamical Systems: Order, Pattern Selection, and Noise in Low-Dimensional Systems; M. San Miguel. Self-Replication: Molecular Quasi-Species in Hopfield Replication Landscapes; P. Tarazona. Self-Organization: Effects of Noise on Self-Organized Critical Phenomena; A. Diaz-Guilera. Measurement and Characterization: The Practical Measurement of Fractal Parameters; E.H. Dooijes, Z.R. Struzik. 36 additional articles. Index. Nº de ref. del artículo: 9780306444814
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