الصفحة 1
الصفحة 1
Vortices in the Magnetic Ginzburg-Landau Model
This text presents complete and mathematically rigorous versions of both results either already known by physicists or applied mathematicians, or entirely new. It begins by introducing mathematical tools such as the vortex balls construction and Jacobian estimates. Among the applications presented are: the determination of the vortex densities and vortex locations for energy minimizers in a wide range of regimes of applied fields, the precise expansion of the so-called first critical field in a bounded domain, the existence of branches of solutions with given numbers of vortices, and the derivation of a criticality condition for vortex densities of non-minimizing solutions. Thus, this book retraces in an almost entirely self-contained way many results that are scattered in series of articles, while containing a number of previously unpublished results as well.
Turbulence and Diffusion : Scaling Versus Equations
This book is an introduction to the multidisciplinary field of anomalous diffusion in complex systems, with emphasis on the scaling approach as opposed to techniques based on the quantitative analysis of underlying transport equations. Typical examples of such systems are turbulent plasmas, convective rolls, zonal flow systems and stochastic magnetic fields. From the more methodological point of view, the approach relies on the general use of correlations estimates, quasilinear equations and continuous time random walk techniques. Yet, the mathematical descriptions are not meant to become a fixed set of recipes but rather develop and strengthen the reader's physical intuition and understanding on the underlying mechanisms involved.
Therapy Related Leukemia
As the population of cancer survivors continues to grow, there is a great need to term health of this population. Nearly one in five cancers -understand the longdiagnosed today occurs in an individual with a previous diagnosis of cancer, and cancers” are a leading cause of morbidity and mortality among these “second the etiology, prevention, and which reported esearchOur rcancer survivors. treatment of second cancers has the potential to improve public health, guide clinical management of survivors, and provide further insight into the mechanisms of carcinogenesis. Secondary cancer risk following radiotherapy and chemotherapy is an increasingly important topic in clinical oncology with impact on treatment decision making and on patient management. And one of the highest incidence was leukemia . Much of the evidence that underlies our understanding of secondary cancer risks and our risk estimates are derived from large epidemiologic studies that we will talk about it and predictive models of earlier decades with large uncertainties.
The IT Measurement Compendium : Estimating and Benchmarking Success with Functional Size Measurement
The first step towards success in a software project is to ensure a professional setup. This includes a metrics-based formal estimation process to ensure a solid foundation for project planning. Accurate estimates require quantitative measurements, ideally tool based. In addition, software project managers must also monitor and update these estimates during the project’s lifecycle to control progress and assess possible risks.
The Fourfold Way in Real Analysis : An Alternative to the Metaplectic Representation
The fourfold way starts with the consideration of entire functions of one variable satisfying specific estimates at infinity, both on the real line and the pure imaginary line. A major part of classical analysis, mainly that which deals with Fourier analysis and related concepts, can then be given a parameter-dependent analogue. The parameter is some real number modulo 2, the classical case being obtained when it is an integer. The space L2(R) has to give way to a pseudo-Hilbert space, on which a new translation-invariant integral still exists. All this extends to the n-dimensional case, and in the alternative to the metaplectic representation so obtained, it is the space of Lagrangian subspaces of R2n that plays the usual role of the complex Siegel domain. In fourfold analysis, the spectrum of the harmonic oscillator can be an arbitrary class modulo the integers.
The Fast Solution of Boundary Integral Equations
The use of surface potentials to describe solutions of partial differential equations goes back to the middle of the 19th century. Numerical approximation procedures, known today as Boundary Element Methods (BEM), have been developed in the physics and engineering community since the 1950s. These methods turn out to be powerful tools for numerical studies of various physical phenomena which can be described mathematically by partial differential equations. The Fast Solution of Boundary Integral Equations provides a detailed description of fast boundary element methods which are based on rigorous mathematical analysis. In particular, a symmetric formulation of boundary integral equations is used, Galerkin discretisation is discussed, and the necessary related stability and error estimates are derived. For the practical use of boundary integral methods, efficient algorithms together with their implementation are needed.
The Effective Tax Burden of Companies in European Regions: An International Comparison
The tax burden on investment or companies is an important factor for the attractiveness of a country or a region. In particular, business location and investment decisions are influenced by the relative tax burdens encountered in different regions. This study presents estimates of the effective average and marginal tax rates on company investment for 143 regions in Europe and the USA. Using the approach pioneered by Michael Devereux and Rachel Griffith, it is shown that companies face a wide variation of effective tax burdens across European regions. The results are explained by analysing the importance of specific tax provisions for the tax burden at the various locations.
Survie des patients atteints de cancer en France = Survival of cancer patients in France
The Francim network brings together all the French cancer registries. It has set up an observatory for cancerous pathologies in France, the purpose of which is to provide the community with epidemiological indicators useful for the knowledge and management of this pathology, in conjunction with various institutional partners. A first output of this observatory was to provide estimates of the incidence of cancer in France in 2000. Its second output is reported in this work, and concerns the survival of cancer patients, as it could be estimated. from all cancer cases recorded from 1989 to 1997 in 20 French departmental registers. To achieve these objectives, the network joined forces with the biostatistics service of the civil hospices of Lyon, which provided statistical analysis of the data collected by the various registers. The procedures that have been put in place for the different phases of this work can be implemented on a regular basis, for subsequent estimates. They also lend themselves to the implementation of more in-depth studies that are necessary for certain cancers. These so-called “population” data usefully complement the results of studies carried out in the field of clinical research. An additional tool for epidemiological cancer surveillance is therefore now available in France, thanks to the support of the National Cancer League.
Spanish Economic Growth, 1850–2015
This text offers a comprehensive and nuanced view of the economic development of Spain since 1850. It provides a new set of historical GDP estimates for Spain from the demand and supply sides, and presents a reconstruction of production and expenditure series for the century prior to the introduction of modern national accounts. The author splices available national accounts sets over the period 1958–2015 through interpolation, as an alternative to conventional retropolation. The resulting national accounts series are linked to the historical estimates providing yearly series for GDP and its components since 1850.
Software Process and Product Measurement ; International Conference, IWSM-Mensura 2007, Palma de Mallorca, Spain, November 5-8, 2007. Revised Papers
Deals with aspects of software measurement like function-points measurement, effort and cost estimates, prediction, industrial experiences in software measurement, planning and implementing measurement, measurement-based software process improvement, best practices in software measurement, usability and user interaction measurement, measurement of open source projects, teaching and learning software measurement as well as new trends and ontologies for software measurement.
Sharp Real-Part Theorems : A Unified Approach
Contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations.
Robust Numerical Methods for Singularly Perturbed Differential Equations : Convection-Diffusion-Reaction and Flow Problems
This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations.
Recent Advances in Operator Theory and Its Applications : The Israel Gohberg Anniversary Vol.ume
Contains a selection of papers in modern operator theory and its applications. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 24–27, 2003. The workshop, which was attended by 108 mathematicians – including a number of PhD and postdoctoral students – from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudo differential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics presented and discussed at the workshop, both within and outside the special sessions.
Radiation Risk Estimates in Normal and Emergency Situations
The importance of this paper for genetics and radiobiology was enormous – not only for radiobiology, but for genetics in general. The "target" of the radiation action was indeed the "gene", that for the first time found a clear, operational definition. The organisers of this Conference proposed to convene scientists from all over the world to discuss the impact of radiation risk estimates in normal and emergency situations. This was the starting point of the NATO Advanced Research Workshop, whose proceedings are published in this book. The parallel development of the Conference and the Workshop resulted in a true synergism, both events taking advantage of the mixed environment of molecular biologists, genetists, radiobiologists, radioecologists, biophysicists, etc.
Principles of applied civil engineering design : Producing drawings, specifications, and cost estimates for heavy civil projects
Introduces the fundamentals and process of applied engineering design, including the necessary field investigations to characterize a project site. He provides pragmatic guidance on the "how-to" of producing construction drawings, with advice on graphical representation; legends, abbreviations, and notes; drawing techniques and software; and certification of construction drawings. He offers a wealth of details on developing technical specifications, including good writing practices, types of construction specifications, the standardized Construction Specifications Institute format, measurement and payment provisions, and reference data. Chapters on cost estimating cover quantity estimates, pricing estimates, allowances and contingencies, and bid evaluation.
Numerical solution of Variational Inequalities by Adaptive Finite Elements
Franz-Theo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a numerically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored according to the particular goal of the computation.
Numerical Mathematics and Advanced Applications ; Proceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005
This book include applications such as atmosphere and ocean, water pollution, electromagnetism, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, fluid-structure, plates, solids, hyperbolic equations, multiphase flow, Navier-Stokes, singular perturbation problems, non linear PDE, control, parabolic equations, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, adaptive methods, domain decomposition techniques, exponential integrators, hp-finite elements, level set methods, fractional step methods, penalty procedures, and finite volumes. The book gives an extensive overview of the most recent research in scientific computing, providing to the reader the latest developments concerning the mathematical issues and the applications of this active field of science.
Noise-Induced Phenomena in Slow-Fast Dynamical Systems : A Sample-Paths Approach
Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book presents a new constructive approach to the quantitative description of solutions to systems of stochastic differential equations evolving on well-separated timescales. The method, which combines techniques from stochastic analysis and singular perturbation theory, allows the domains of concentration for typical sample paths to be determined, and provides precise estimates on the transition probabilities between these domains. In addition to the detailed presentation of the set-up and mathematical results, applications to problems in physics, biology, and climatology are discussed. The emphasis lies on noise-induced phenomena such as stochastic resonance, hysteresis, excitability, and the reduction of bifurcation delay.
Introduction to Probability with Statistical Applications
This textbook is an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and common probability distributions such as the binomial, Poisson, and normal distributions. Main statistical concepts considered are point and interval estimates, hypothesis testing, power function, various statistical tests: z, t, chi-square and Kolmogorov-Smirnov.
Introduction to Bayesian Scientific Computing : Ten Lectures on Subjective Computing
Inverse problems are closely related to statistical inference problems, where the observations are used to infer on an underlying probability distribution. This connection between statistical inference and inverse problems is a central topic of the book. Inverse problems are typically ill-posed: small uncertainties in data may propagate in huge uncertainties in the estimates of the unknowns. To cope with such problems, efficient regularization techniques are developed in the framework of numerical analysis. The counterpart of regularization in the framework of statistical inference is the use prior information.
