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Dealing with Uncertainties : A Guide to Error Analysis
Dealing with Uncertainties proposes and explains a new approach for the analysis of uncertainties. Firstly, it is shown that uncertainties are the consequence of modern science rather than of measurements. Secondly, it stresses the importance of the deductive approach to uncertainties.
Data Mining in Bioinformatics
8. 1. 1 Protein Subcellular Location The life sciences have entered the post-genome era where the focus of biological research has shifted from genome sequences to protein functionality. Withwhole-genomedraftsofmouseandhumaninhand,scientistsareputting more and more e?ort into obtaining information about the entire proteome in a given cell type. The properties of a protein include its amino acid sequences, its expression levels under various developmental stages and in di?erent tissues, its3Dstructure and activesites,its functionalandstructural binding partners, and its subcellular location. Protein subcellular location is important for understanding protein function inside the cell. For example, the observation that the product of a gene is localized in mitochondria will support the hypothesis that this protein or gene is involved in energy metabolism. Proteins localized in the cytoskeleton are probably involved in intracellular tra?cking and support.
Data Mining for Biomedical Applications ; PAKDD 2006 Workshop, BioDM 2006, Singapore, April 9, 2006, Proceedings
This book constitutes the refereed proceedings of the International Workshop on Data Mining for Biomedical Applications, BioDM 2006, held in Singapore in conjunction with the 10th Pacific-Asia Conference on Knowledge Discovery and Data Mining (PAKDD 2006). The 14 revised full papers presented together with 1 keynote talks were carefully reviewed and selected from 35 submissions. The papers are organized in topical sections on protein-protein interactions, database and search, bio data clustering, and in-silico diagnosis.
Data Assimilation : The Ensemble Kalman Filter
Data Assimilation comprehensively covers data assimilation and inverse methods, including both traditional state estimation and parameter estimation. This text and reference focuses on various popular data assimilation methods, such as weak and strong constraint variational methods and ensemble filters and smoothers. It is demonstrated how the different methods can be derived from a common theoretical basis, as well as how they differ and/or are related to each other, and which properties characterize them, using several examples.It presents the mathematical framework and derivations in a way which is common for any discipline where dynamics is merged with measurements. The mathematics level is modest, although it requires knowledge of basic spatial statistics, Bayesian statistics, and calculus of variations. Readers will also appreciate the introduction to the mathematical methods used and detailed derivations, which should be easy to follow, are given throughout the book. The codes used in several of the data assimilation experiments are available on a web page.The focus on ensemble methods, such as the ensemble Kalman filter and smoother, also makes it a solid reference to the derivation, implementation and application of such techniques. Much new material, in particular related to the formulation and solution of combined parameter and state estimation problems and the general properties of the ensemble algorithms, is available here for the first time.
Data Analysis Using the Method of Least Squares : Extracting the Most Information from Experiments
The preferred method of data analysis of quantitative experiments is the method of least squares. Often, however, the full power of the method is overlooked and very few books deal with this subject at the level that it deserves. The purpose of Data Analysis Using the Methods of Least Squares is to fill this gap and include the type of information required to help scientists and engineers apply the method to problems in their special fields of interest.Linear and non-linear least squares, the use of experimental error estimates for data weighting, procedures to include prior estimates, methodology for selecting and testing models, prediction analysis, and some non-parametric methods are discussed.
Data Analysis and Decision Support
Presents advances in data analysis and decision support and gives an actual overview on the interface between mathematics, operations research, statistics, computer science, and management science. Areas that receive considerable attention in the book are discrimination and clustering, multidimensional scaling, data mining and more.
Current Trends in High Performance Computing and Its Applications ; Proceedings of the International Conference on High Performance Computing and Applications, August 8-10, 2004, Shanghai, P.R. China
This book contains variety of subjects in modern high performance computing and its applications, such as numerical and software algorithm design and analysis, grid computing advance, adaptive and par- lel algorithm development, distributing debugging tools, computational grid and network environment design, computer simulation and visualization, and computational language study and their applications to science, engineering, and medicine.
Critical point theory and its applications
The book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition.
Critical Infrastructures at Risk : Securing the European Electric Power System
This book explores the potential risks and vulnerabilities of the European electricity infrastructure, other infrastructures and our society as whole increasingly depend on. The work was initiated by the need to verify the potential effects of the ongoing market and technical transformation of the infrastructure, which is fundamentally changing its operation and performance. The final aim is to set the basis for an appropriate industrial and political European-wide response to the risk challenges.
Coordination models and languages ; Vol.3454 : 7th international conference, COORDINATION 2005, Namur, Belgium, April 20-23, 2005, Proceedings
This book constitutes the refereed proceedings of the 7th International Conference on Coordination Models and Languages, COORDINATION 2005, held in Namur, Belgium in April 2005. The 19 revised full papers presented were carefully reviewed and selected from 88 submissions. Among the topics addressed are Web services, safe ambients, process calculus, abstract verification, role-based software, delegation modeling, distributed information flow, adaptive Web content provision, global computing, mobile agents, mobile computing, multithreaded code generation, shared data space coordination languages, automata specifications, time aware coordination, and service discovery.
Cooperative Design, Visualization, and Engineering ; Vol. 4101 ; 3rd International Conference, CDVE 2006, Mallorca, Spain, September 17-20, 2006, Proceedings
This book constitutes the refereed proceedings of the Third International Conference on Cooperative Design, Visualization, and Engineering, CDVE 2006, held in Mallorca, Spain in September 2006.
Convexity and Well-Posed Problems
This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Thus many of its properties can be seen also as properties of a certain convex set related to it. Moreover, we shall consider extended real valued functions.
Convex Functions and their Applications : A Contemporary Approach ; 1st ed.
Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov’s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory.
Convex Functional Analysis
This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.
Contributions to Ubiquitous Computing
This book puts the larger vision of ubiquitous computing in the context of today’s mobile and distributed computing systems and presents innovative solutions at all system layers ranging from hardware over vertical and horizontal infrastructure services and novel middleware techniques to various types of application software. Some chapters address core properties of ubiquitous applications including mobility, self-healing and self-organisation of both technical and social-technical systems. Other contributions deal with common facilities like secure e-payment or semantic web techniques and business solutions like wireless asset management or e- maintenance. Distributed systems management with self-monitoring capabilities, Internet congestion control, and novel security solutions coping with denial of service attacks against mobile agent systems and software- and hardware-based data encryption methods are further topics addressed.
Contributions to Nonlinear Analysis : A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday
This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations.It is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping.
Continuum Mechanics using Mathematica® : Fundamentals, Applications and Scientific Computing
This book's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. The book covers essential principles and fundamental applications, and provides a solid basis for a deeper study of more challenging and specialized problems related to elasticity, fluid mechanics, plasticity, materials with memory, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes.
Constrained optimization and image space analysis ; Vol.1 : Separation of sets and optimality conditions
Constrained Optimization and Image Space Analysis unites his results and presents optimization theory and variational inequalities in their light.It presents a new approach to the theory of constrained extremum problems, including Mathematical Programming, Calculus of Variations and Optimal Control Problems. Such an approach unifies the several branches: Optimality Conditions, Duality, Penalizations, Vector Problems, Variational Inequalities and Complementarity Problems. The applications benefit from a unified theory.
Conjoint measurement : Methods and applications
Covering developments in Conjoint Analysis, this book presents the theory and applications of this technique. It discusses: normative models that maximize return, extension of choice-based conjoint simulations, latent class, hierarchical Bayes modelling, choice simulators, and normative models for representing competitive actions and reactions.
Conics and Cubics : A Concrete Introduction to Algebraic Curves
Its focus on curves of degree at most three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas: homogenous coordinates and intersection multiplicities. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout's Theorem on the number of intersections of two curves.The book is a text for a one-semester course on algebraic curves for junior-senior mathematics majors. The only prerequisite is first-year calculus.
