الصفحة 46
الصفحة 46
Geometric numerical integration : Structure-preserving algorithms for ordinary differential equations
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.
Geometric Modeling and Processing - GMP 2006 ; 4th International Conference, GMP 2006, Pittsburgh, PA, USA, July 26-28, 2006, Proceedings
This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA in July 2006. The 36 revised full papers and 21 revised short papers presented were carefully reviewed and selected from a total of 84 submissions. All current issues in the area of geometric modeling and processing are addressed and the impact in such areas as computer graphics, computer vision, machining, robotics, and scientific visualization is shown. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, geometric modeling, subdivision surfaces, and engineering applications.
Geometric Modeling and Algebraic Geometry
The two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has developed impressive - sults for understanding the theoretical nature of these objects, geometric modeling focuses on practical applications of virtual shapes de?ned by algebraic equations. Recently, however, interaction between the two ?elds has stimulated new research. For instance, algorithms for solving intersection problems have bene?ted from c- tributions from the algebraic side.
Geometric mechanics on riemannian manifolds : Applications to partial differential equations
This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrödinger's, Einstein's and Newton's equations. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases (e.g., the case of quartic oscillators) these methods do not work. New geometric methods are introduced in the work that have the advantage of providing quantitative or at least qualitative descriptions of operators, many of which cannot be treated by other methods. And, conservation laws of the Euler–Lagrange equations are employed to solve the equations of motion qualitatively when quantitative analysis is not possible. It includes : Lagrangian formalism on Riemannian manifolds; energy momentum tensor and conservation laws; Hamiltonian formalism; Hamilton–Jacobi theory; harmonic functions, maps, and geodesics; fundamental solutions for heat operators with potential; and a variational approach to mechanical curves.
Geometric Integration Theory
This textbook introduces geometric measure theory through the notion of currents. Currents—continuous linear functionals on spaces of differential forms—are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics
Geometric Fundamentals of Robotics
Geometric Fundamentals of Robotics provides an elegant introduction to the geometric concepts that are important to applications in robotics. This second edition is still unique in providing a deep understanding of the subject: rather than focusing on computational results in kinematics and robotics, it includes significant state-of-the art material that reflects important advances in the field, connecting robotics back to mathematical fundamentals in group theory and geometry.
Geometric Data Analysis : From Correspondence Analysis to Structured Data Analysis
Geometric Data Analysis (GDA) is the name suggested by Stanford University to designate the approach to Multivariate Statistics initiated.as Correspondence Analysis, an approach that has become more and more used and appreciated over the years. This book presents the full formalization of GDA in terms of linear algebra - the most original and far-reaching consequential feature of the approach - and shows also how to integrate the standard statistical tools such as Analysis of Variance, including Bayesian methods. Chapter 9, Research Case Studies, is nearly a book in itself; it presents the methodology in action on three extensive applications, one for medicine, one from political science, and one from education (data borrowed from the Stanford computer-based Educational Program for Gifted Youth ). Thus the readership of the book concerns both mathematicians interested in the applications of mathematics, and researchers willing to master an exceptionally powerful approach of statistical data analysis.
Geometric and Topological Methods for Quantum Field Theory
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.
Geometric Algebra for Computer Graphics
The first five chapters review the algebras of real numbers, complex numbers, vectors, and quaternions and their associated axioms, together with the geometric conventions employed in analytical geometry. As well as putting geometric algebra into its historical context, John Vince provides chapters on Grassmann’s outer product and Clifford’s geometric product, followed by the application of geometric algebra to reflections, rotations, lines, planes and their intersection. The conformal model is also covered, where a 5D Minkowski space provides an unusual platform for unifying the transforms associated with 3D Euclidean space.
Geographic Information Science ; 5th International Conference, GIScience 2008, Park City, UT, USA, September 23-26, 2008. Proceedings
This book constitutes the refereed proceedings of the 5th International Conference on Geographic Information Secience, GIScience 2008, held in Park City, UT, USA, in September 2008.The 24 revised full papers presented were carefully reviewed and selected from 77 submissions. Among the traditional topics addressed are spatial relations, geographic dynamics, and spatial data types. A significant number of papers deal with navigation networks, location-based services, and spatial information query and retrieval. Geo-sensors, mobile computing, and Web mapping rank among the important new directions.
geoENV VI - Geostatistics for Environmental Applications : Proceedings of the Sixth European Conference on Geostatistics for Environmental Applications
This volume contains how geostatistics is applied within the environmental sciences. A few selected theoretical contributions are also included.
Geodetic Deformation Monitoring : From Geophysical to Engineering Roles ; IAG Symposium Jaén, Spain, March 7-19,2005
Geodesy is the science dealing with the determination of the position of points in space, the shape and gravity field of the Earth and with their time variations. A consequence is that geodesists feel as a permanent subject of research, the detection, analysis and interpretation of spatial deformation as well as gravity field variation. This book collects 36 selected papers from the International Symposium on Geodetic Deformation Monitoring held in Jaén (Spain) from 17th to 19th March 2005. The main topics covered in the symposium were: mathematical and statistical models for crustal deformation analysis, deformation monitoring from GPS and InSAR data: analysis and geophysical interpretation, geodetic monitoring of movements in civil engineering, integration of spatial and terrestrial techniques in deformation studies, geodynamical applications of gravimetric observations and present-day geodetic instrumentation for deformation monitoring. This volume is a good overview of theoretical matters, models and results.
Gentamicin : Biosynthesis, medicinal applications and potential side effects
Discusses the biosynthesis, medicinal applications and potential side effects of Gentamicin. Topics include Gentamicin used in combination therapy and applied to medicinal materials for clinical applications; use of natural products to enhance the antibiotic activity of Gentamicin and other aminoglycosides; regiospecific Gentamicin functionalization; Gentamicin and particle engineering; and the indications and adverse effects of Gentamicin.
Genomics-assisted crop improvement ; Vol.2 : Genomics applications in crops
Genomics research has great potential to revolutionize the discipline of plant breeding. This two-volume set provides a critical assessment of genomics tools and approaches for crop breeding. Volume 2, entitled "Genomics Applications in Crops", compiles crop-specific studies that summarize both the achievements and limitations of genomics research for crop improvement.
Génetique statistique = Statistical genetics
Presents the main statistical tools useful in genetics: significance tests, analysis methods based on the likelihood function, EM algorithm, modeling, analysis of variance, hierarchical classifications, multiple comparisons, etc. All of them shed light on a number of biological phenomena such as carcinogenesis, population genetics, Hardy-Weinberg equilibrium, natural selection, mutations, heredity, coalescence processes, and even evolution. This book is intended for mathematicians and biologists alike. Written with a great concern for clarity, it is also accessible to non-specialists who will be able, thanks to it, to strengthen their theoretical base and above all to develop their know-how through very concrete applications.
Genetic rogramming ; Vol. 3447 : 8th European conference, EuroGP 2005, Lausanne, Switzerland, March 30-April 1, 2005, Proceedings
In this volume we present the contributions for the 18th European Conference on Genetic Programming (EuroGP 2005). The conference took place from 30 March to 1 April in Lausanne, Switzerland. EuroGP is a well-established conf- ence and the only one exclusively devoted to genetic programming. All previous proceedings were published by Springer in the LNCS series. From the outset, EuroGP has been co-located with the EvoWorkshops focusing on applications of evolutionary computation. Since 2004, EvoCOP, the conference on evolutionary combinatorial optimization, has also been co-located with EuroGP, making this year’s combined events one of the largest dedicated to evolutionary computation in Europe. Genetic programming (GP) is evolutionary computation that solves complex problems or tasks by evolving and adapting a population of computer programs, using Darwinian evolution and Mendelian genetics as its sources of inspiration. Some of the 34 papers included in these proceedings address foundational and theoretical issues and there is also a wide variety of papers dealing with di?erent application areas, such as computer science, engineering, language processing, biology and computational design, demonstrating that GP is a powerful and practical problem-solving paradigm.
Genetic Programming ; 11th European Conference, EuroGP 2008, Naples, Italy, March 26-28, 2008. Proceedings
The 11th European Conference on Genetic Programming, EuroGP 2008, took place in Naples, Italy from 26 to 28 March in the University of Naples Congress Centre with spectacular views over the Gulf of Naples. This volume contains the papers for the 21 oral presentations and 10 posters that were presented during this time. A diverse array of topics were covered refecting the current state of research in the ?eld of Genetic Programming, including the latest work on representations, theory, operators and analysis, evolvable hardware, agents and numerous applications. A rigorous, double-blind peer review process was employed, with each s- mission reviewed by at least three members of the international Program C- mittee.
Genetic algorithms: theory, design and programming
We present a series of scientific contributions that delve into the intricate theoretical foundations and practical nuances of genetic algorithms (GAs). Beyond the academic realm, GAs have demonstrated profound applications in societal decision-making and engineering optimization, showcased through real-world examples and case studies. A dedicated section on programming principles offers a thorough guide for implementing GAs across diverse languages. This edition, tailored for researchers and academics, serves as a testament to the scientific advancements within the field, inviting readers to explore the nuanced journey from theoretical constructs to pragmatic applications in the dynamic landscape of GAs.
Generative programming and component engineering ; 4th International conference, GPCE 2005, Tallinn, Estonia, September 29 - October 1, 2005, Proceedings
Generative Programming and Component Engineering (GPCE) is a leading - searchconferenceonautomaticprogrammingandcomponentengineering.These approaches to software engineering have the potential to revolutionize software development as automation and components revolutionized manufacturing. The conference brings together researchers and practitioners interested in adva- ing automation for software development. It is also a premier forum for cro- fertilization between the programming language and software engineering - search communities. GPCEaroseasajointconference, mergingthepriorconferenceonGenerative and Component-Based Software Engineering (GCSE) and the Workshop on - mantics, Applications, andImplementationofProgramGeneration(SAIG). The proceedingsofthepreviousGPCEconferenceswerepublishedintheLNCSseries of Springer as volumes2487,2830, and 3286.In 2005 GPCE wasco-locatedwith the International Conference on Functional Programming (ICFP) and the s- posium on Trends in Functional Programming (TFP), re?ecting the vigorous interaction between the functional programming and generative programming research communities. GPCE and ICFP are both sponsored by the Association for Computing Machinery. The quality and breadth of the papers submitted to GPCE 2005 was impr- sive. All 86 papers, including 5 papers for tool demonstrations, were rigorously reviewed by 17 highly quali?ed Program Committee members. The members of the Program Committee ?rst provided in-depth individual reviews of the s- mitted papers, and then debated the merits of the papers through an extended electronicProgramCommitteemeeting.After much(friendly) argument,25r- ular papers and 2 tool demonstration papers were selected for publication. The ProgramCommittee provided extensive technical feedback to the authors of the submittedpapers.Theconferenceprogramwascomplementedwiththreeinvited talks, three extended tutorials, and three all-day workshops.
Generative adversarial text to image synthesis
Synthesizing high-quality images from text descriptions is a challenging problem in computer vision and has many practical applications. Samples generated by existing text-to-image approaches can roughly reflect the meaning of the given descriptions, but they fail to contain necessary details and vivid object parts. In order to make the project more specialized, it was approved that the project be dedicated to fashion image generation, we present an effective approach for generating new clothing through generative adversarial learning. Generative Adversarial Networks (GANs) successfully show the capability of synthesizing sharper images compared to other generative models.
