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Handbook of Generalized Convexity and Generalized Monotonicity
Generalized convex functions are the many nonconvex functions which share at least one of the valuable properties of convex functions. Apart from their theoretical interest, they are often more suitable than convex functions to describe real-word problems in disciplines such as economics, engineering, management science, probability theory and in other applied sciences. More recently, generalized monotone maps which are closely related to generalized convex functions have also been studied extensively.The Handbook offers a systematic and thorough exposition of the theory and applications of the various aspects of generalized convexity and generalized monotonicity. It is aimed at the non-expert, for whom it provides a detailed introduction, as well as at the expert who seeks to learn about the latest developments and references in his research area.
Handbook of Fractional Calculus for Engineering and Science
Provides reliable methods for solving fractional-order models in science and engineering. Contains efficient numerical methods and algorithms for engineering-related equations. Contains comparison of various methods for accuracy and validity. Demonstrates the applicability of fractional calculus in science and engineering. Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations.
Handbook of civil engineering calculations
Covering all aspects of civil engineering calculations in an easy-to-understand format, the new edition of the 'Handbook of Civil Engineering Calculations' has been revised and updated with over 500 key calculations that show you exactly how to compute the desired values for a particular design-going quickly from data to finished result.
Grid economics and business models ; 5th International workshop, GECON 2008, Las Palmas de Gran Canaria, Spain, August 26, 2008. Proceedings
This volume constitutes the refereed proceedings of the 5th International Workshop on Grid Economics and Business Models, GECON 2008, held in Las Palmas de Gran Canaria, Spain, August 2008.The 10 full papers included in this volume were carefully selected from 27 submission. They aim at presenting current results and innovative research in the area of grid economics. The papers are organized in topical sections on grid business modeling, market mechanisms for the grid, grid markets, and grid architectures.The proceedings are rounded off by 9 project reports that give an overview of the current and ongoing research in grid economics.
Grey information : Theory and practical applications
he book covers the latest advances in grey information and systems research, providing a state-of-the-art overview of this important field. Covering the theoretical foundation, fundamental methods and main topics in grey information and systems research, this book includes all the elementary concepts: basic principles, grey numbers and their operations, grey equations and matrices, operators of sequences and generations of grey sequences, grey incidence analysis, grey clusters and grey statistical evaluations, grey systems modeling, grey combined models, grey prediction, grey decisions, grey programming, grey input and output and grey controls, etc.
Green Function Theory of Chemisorption
The book provides an introduction to the Green-Function (GF) theory of chemisorption. It is self-contained, and requires only a basic knowledge of quantum mechanics and solid-state physics. The GF approach lends itself well to the pedagogically desirable modellistic treatment of the subject. Throughout each chapter, step-by-step details are provided by which the calculations are performed, so that readers are led from the simple to the more advanced aspects, in a straightforward manner. In this way, students gain confidence to read the current literature on their own.
Graphics Recognition : TenYears Review and Future Perspectives ; 6th International Workshop, GREC 2005, Hong Kong, China, August 25-26, 2005, Revised Selected Papers
This book contains refereed and improved papers presented at the 6th IAPR Workshop on Graphics Recognition (GREC 2005). This year is the tenth anniversary of GREC, Graphics recognition is a particular field in the domain of document analysis, which combines pattern recognition and image processing techniques for the analysis of any kind of graphical information in documents from either paper or electronic formats. In its 10 year history, the graphics recognition community has extended its research topics from the analysis and understanding of graphic documents (including engineering drawings vectorization and recognition), to graphics-based information retrieval and symbol recognition, to new media analysis, and even stepped into research areas of other communities
Gradient Flows : in Metric Spaces and in the Space of Probability Measures ; 2nd ed.
Devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure, this book focuses on gradient flows in metric spaces. It covers gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance.
Gradient Flows : In Metric Spaces and in the Space of Probability Measures ; 1st ed.
This book is devoted to a theory of gradient flows in spaces which are not nec- sarily endowed with a natural linear or differentiable structure. It is made of two parts, the first one concerning gradient flows in metric spaces and the second one 2 1 devoted to gradient flows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the two parts can be read independently, the first one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Differential Equations, Measure Theory and Probability.
Globalization and Regional Economic Modeling
Globalization is affecting regional economies in a broad spectrum of aspects, from labor market conditions and development policies to climate change. To understand better how this works, we need both conceptual and methodological contributions. We need new schemes to organize our thinking, direct our attention, and frame thought experiments on the basis of which guidance may be offered. And we need methodological innovations that enable us to carry out studies and thought experiments at levels of spatial and temporal resolution and formal complexity adequate to capture and account for the phenomena that characterize globalization. The chapters of this volume, written by an international cast of eminent regional scientists, represent contributions of both types, in many cases introducing and demonstrating the use of new tools for analyzing and understanding enormous changes underway in regional economies around the world.
Global Smoothness and Shape Preserving Interpolation by Classical Operators
This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it presents interesting new results alongwith an excellent survey of past research.
Global optimization and constraint satisfaction ; 2nd International Workshop, COCOS 2003, Lausanne, Switzerland, Nevember 18-21, 2003, Revised Selected Papers
Theformulationofmanypracticalproblemsnaturallyinvolvesconstraintsonthe variables entering the mathematical model of a real-life situation to be analyzed. It is of great interest to ?nd the possible scenarios satisfying all constraints, and, iftherearemanyofthem,eitherto?ndthebestsolution,ortoobtainacompact, explicit representation of the whole feasible set. The 2nd Workshop on Global Constrained Optimization and Constraint S- isfaction, COCOS 2003, which took place during November 18–21, 2003 in L- sanne, Switzerland, was dedicated to theoretical, algorithmic, and application oriented advances in answering these questions. Here global optimization refers to ?nding the absolutely best feasible point, while constraint satisfaction refers to?ndingallpossiblefeasiblepoints.AsinCOCOS2002,the?rstsuchworkshop (see the proceeedings [1]), the emphasis was on complete solving techniques for problems involving continuous variables that provide all solutions with full rigor, and on applications which, however, were allowed to have relaxed standards of rigor.
Global Computing ; IST/FET International Workshop, GC 2004, Rovereto, Italy, March 9-12, 2004, Revised Selected Papers
This book constitutes the thoroughly refereed post-proceedings of the IST/FET International Workshop on Global Computing, GC 2004, held in Rovereto, Italy in March 2004. The 18 revised full papers presented were carefully selected during two rounds of reviewing and improvement from numerous submissions. Among the topics covered are programming environments, dynamic reconfiguration, resource guarantees, peer-to-peer networks, analysis of systems and resources, resource sharing, and security, as well as foundational calculi for mobility.
Glaucoma
The series Essentials in Ophthalmology was initi- to discuss clinically relevant and appropriate t- ated two years ago to expedite the timely trans- ics. Summaries of clinically relevant information fer of new information in vision science and have been provided throughout each chapter. evidence-based medicine into clinical practice.
Getting Started with MuPAD
The world of mathematics is probably one of the most fascinating creations of mankind. The world of mathematics with a Computer Algebra System, like MuPAD, is even more fascinating. With MuPAD, we can develop mathematical concepts, explore them and visualize them with just a few simple commands.This book is a gentle introduction to MuPAD - a modern Computer Algebra System. A large chapter of the book is devoted to the graphical visualization of mathematical concepts ,and MuPAD graphics are also used extensively throughout the rest of the book.
Gesture smart control
Nowadays actions are increasingly being handled in electronic ways, instead of physical interaction. From earlier times biometrics is used in the authentication of a person. It recognizes a person by using a human trait associated with it like eyes (by calculating the distance between the eyes) and using hand gestures, fingerprint detection, face detection etc. Advantages of using these traits for identification are that they uniquely identify a person and cannot be forgotten or lost. These are unique features of a human being which are being used widely to make the human life simpler. Hand gesture recognition system is a powerful tool that supports efficient interaction between the user and the computer.
Geometry of Principal Sheaves
The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth models of physical phenomena and spaces with singularities. Starting with a brief survey of the required sheaf theory and cohomology, the exposition then moves on to differential triads (the abstraction of smooth manifolds) and Lie sheaves of groups (the abstraction of Lie groups). Having laid the groundwork, the main part of the book is devoted to the theory of connections on principal sheaves, incorporating connections on vector
Geometric Problems on Maxima and Minima
Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a uniquely intuitive approach to the subject: it presents hundreds of extreme-value problems, examples, and solutions primarily through Euclidean geometry.
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 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.
