الصفحة 18
الصفحة 18
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Mathematical methods and modelling in hydrocarbon exploration and production

Hydrocarbon exploration and production incorporate great technology challenges for the oil and gas industry. In order to meet the world's future demand for oil and gas, further technological advance is needed, which in turn requires research across multiple disciplines, including mathematics, geophysics, geology, petroleum engineering, signal processing, and computer science. This book addresses important aspects and fundamental concepts in hydrocarbon exploration and production. Moreover, new developments and recent advances in the relevant research areas are discussed, whereby special emphasis is placed on mathematical methods and modelling. The book reflects the multi-disciplinary character of the hydrocarbon production workflow, ranging from seismic data imaging, seismic analysis and interpretation and geological model building, to numerical reservoir simulation. Various challenges concerning the production workflow are discussed in detail.

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Mathematical Aspects of Classical and Celestial Mechanics

In this book we describe the basic principles, problems, and methods of clssical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth first and foremost the “working” apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated.

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Mathematical and Computational Models for Congestion Charging

This book presents rigorous treatments of issues related to congestion pricing. The chapters describe recent advances in areas such as mathematical and computational models for predicting traffic congestion, determining when, where, and how much to levy tolls, and analyzing the impact of tolls on transporation systems. The analyses and methodologies developed in this book provide Mechanisms that aid in determining and comparing congestion pricing schemes; Methodologies for evaluating the efficiency of existing and proposed congestion pricing schemes; A means to predict the impact of pricing on urban transporation systems; and Information essential to the financial and political success of congestion pricing programs.

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Mathematical Analysis I

The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques.

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Mathematica for Theoretical Physics : Classical Mechanics and Nonlinear Dynamics

Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear Dynamics This second edition of Baumann's Mathematica® in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.

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Material Inhomogeneities and their Evolution : A Geometric Approach

The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.).

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Matematica e cultura 2005 = Mathematics and culture 2005

E si parla di arte; oltre che di Pizzinato, di Pollock, grazie alla collaborazione della Guggenheim Collection di Venezia.E si parla di architettura, dalla topologia ai progetti di Ghery e di Renzo Piano.E di modelli matematici per la lotta contro il cancro, contro l’AIDS.Di come la matematica può aiutare a prevenire e intervenire. E si parla di matematica della guerra e di come la matematica possa aiutare a proteggere l’ambiente. Nel gennaio 2005, scrivendo queste parole, diventa di grande e drammatica attualità l’utilizzo dei modelli matematici per la meteorologia. Prevedere per salvare.

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Markov Decision Processes with Their Applications

Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochastic circumstances. There are three basic branches in MDPs: discrete-time MDPs, continuous-time MDPs and semi-Markov decision processes. Starting from these three branches, many generalized MDPs models have been applied to various practical problems. These models include partially observable MDPs, adaptive MDPs, MDPs in stochastic environments, and MDPs with multiple objectives, constraints or imprecise parameters.

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Markov Chains : Models, Algorithms and Applications

Markov chains are a particularly powerful and widely used tool for analyzing a variety of stochastic (probabilistic) systems over time. This monograph will present a series of Markov models, starting from the basic models and then building up to higher-order models. Included in the higher-order discussions are multivariate models, higher-order multivariate models, and higher-order hidden models. In each case, the focus is on the important kinds of applications that can be made with the class of models being considered in the current chapter. Special attention is given to numerical algorithms that can efficiently solve the models. Therefore, Markov Chains: Models, Algorithms and Applications outlines recent developments of Markov chain models for modeling queueing sequences, Internet, re-manufacturing systems, reverse logistics, inventory systems, bio-informatics, DNA sequences, genetic networks, data mining, and many other practical systems.

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Maritime Work Law Fundamentals : Responsible Shipowners, Reliable Seafarers

As the title suggests, a fundamental challenge of this branch of international maritime law is to achieve a balance between the interests of the two main stakeholders. Institutionally, the effort to achieve this balance dates back a number of decades with its genesis mainly found in the work of the International Labour Organization. It has to be said that whilst this effort achieved great progress, it has led to a haphazard, plethora of legal instruments.

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Marine Surface Films : Chemical Characteristics, Influence on Air-Sea Interactions and Remote Sensing

Since the late 1960s, various groups have investigated the influence of marine surface films on mechanisms dominating energy and mass transfer across the ocean/atmosphere interface. However, a compendium summarizing the state-of-the-art research in this field is still missing. The book fills this gap and transfers the accumulated knowledge to the scientific community. After a brief historical chapter basic chemical insights are presented, followed by theoretical and experimental approaches carried out in laboratory facilities. Air-sea interaction experiments are then described and finally, remote sensing applications with sea slicks and crude oil spills are presented.

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Marine Organic Matter : Biomarkers, Isotopes and DNA

The oceans contain a great biodiversity of marine organisms. They include a rich variety of unusual genes and biochemistries and hence a diverse array of organic compounds ranging from colourful carotenoids and chlorophylls to lipids with structures ranging from the simple to the complex. This volume brings together ten chapters on the occurrence and identification of the lipid biomarkers and of pigments in marine waters. It describes how they can be used in conjunction with stable isotopes and molecular biology to ascertain the sources and fate of organic matter (both natural and pollutant) in the sea and underlying sediments. The authors are each experts in their field and the chapters provide both an overview of the state-of-the-art and knowledge gaps together with abundant detail to satisfy the needs of specialists and non-specialists alike.

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Maple and Mathematica : A Problem Solving Approach for Mathematics

the history of mathematics there are many situations in which cal- lations were performed incorrectly for important practical applications. the history of computing the number began in Egypt and Babylon about 2000 years BC, since then many mathematicians have calculated (e. g. , Archimedes, Ptolemy, Vi` ete, etc. ). In modern mathematics there exist computers that can perform various mathematical operations for which humans are incapable. Therefore the computers can be used to verify the results obtained by humans, to discovery new results, to - prove the result sthatahumancanobtain without anytechnology

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Map-based Mobile Services : Design, Interaction and Usability

It addresses methods and techniques for topics that range from design and rendering, context modelling, personalisation, multimodal interaction to usability test. Instead of striving for a seamless coverage of all essential theoretical and technical issues with an equal depth and extent, we attempt to pinpoint a number of research highlights and representative development activities at universities, research institutions and so- ware industry. The operational prototypes and platforms reported in the book are on the one hand outcome and feasibility proof of various approaches. On the other hand, they serve as a new starting point for the refinement of user interfaces and iterative usability tests.

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Managing Weather and Climate Risks in Agriculture

In many parts of the world, weather and climate are one of the biggest production risks and uncertainty factors impacting on agricultural systems performance and management. Both structural and non-structural measures can be used to reduce the impacts of the variability (including extremes) of climate resources on crop production. While the structural measures include strategies such as irrigation, water harvesting, windbreaks etc., the non-structural measures include use of seasonal to interannual climate forecasts, improved application of medium-range weather forecasts and crop insurance. This book based on an International Workshop held in New Delhi, India should be of interest to all organizations and agencies interested in improved risk management in agriculture.

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Management of Transboundary Rivers and Lakes

As it circulates in the atmosphere, in the rivers, lakes, soil, rock, and in the oceans, it is the major conveyer of va- ous chemical substances and of energy, and it can also be called as the blood of the ecosystems of this planet. But at the same time water is interwoven in the va- ous functions of the nature and the human society in countless ways which makes water one of the most complicated challenges of the mankind today.Human beings are exploiting and enjoying, but at the same time polluting and deteriorating, the waters in various ways and water is equally important to the - man socio-economic system as it is to the nature. It may sound a bit anecdotal to say that water obeys no borders, but that is true; the hydrologic cycle with its r- ers, river basins, lakes, aquifers, rainfalls, oceans, etc., cross administrational b- ders without any passport control. River and lake basins are in most cases very different from the administrational borders that the human beings have set up.

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Making Fisheries Management Work : Implementation of Policies for Sustainable Fishing

This book seeks to widen the perspective taken on implementation in fisheries management. The cases presented in this volume addresses legal, administrative, and political challenges regarding implementation of resource conservation policies. The book addresses problems relating to goal achievement, but also causes of deliberate change of political goals during implementation. Fisheries management systems are embedded in inert social structures and natural conditions that vary among different states. Consequently, the book takes a historical and comparative approach, describing the historical developments of national implementation systems and the conditions that shaped their development. It thus seeks to explain why national fisheries management systems have evolved differently, focusing on Norwegian, Faeroese, and EU/Danish management systems. The descriptive and explanatory outlines are accompanied by qualitative assessments of the systems effectiveness as tools for collective action.

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Magnetohydrodynamics : Historical Evolution and Trends

Magnetohydrodynamics (MHD) studies the interaction between the flow of an electrically conducting fluid and magnetic fields. It involves such diverse topics as the evolution and dynamics of astrophysical objects, thermonuclear fusion, metallurgy and semiconductor crystal growth, etc. Although the first ideas in magnetohydrodynamics appeared at the beginning of the last century, the "explosion" in theoretical and experimental studies occurred in the 1950s-60s. This state-of-the-art book aims at revising the evolution of ideas in various branches of magnetohydrodynamics (astrophysics, earth and solar dynamos, plasmas, MHD turbulence and liquid metals) and reviews current trends and challenges.

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Magnetism and Structure in Functional Materials

Magnetism and Structure in Functional Materials addresses three distinct but related topics: (i) magnetoelastic materials such as magnetic martensites and magnetic shape memory alloys, (ii) the magnetocaloric effect related to magnetostructural transitions, and (iii) colossal magnetoresistance (CMR) and related magnanites. The goal is to identify common underlying principles in these classes of materials that are relevant for optimizing various functionalities. The emergence of apparently different magnetic/structural phenomena in disparate classes of materials clearly points to a need for common concepts in order to achieve a broader understanding of the interplay between magnetism and structure in this general class of new functional materials exhibiting ever more complex microstructure and function. The topic is interdisciplinary in nature and the contributors correspondingly include physicists, materials scientists and engineers. Likewise the book will appeal to scientists from all these areas.

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Magnetic Functions Beyond the Spin-Hamiltonian

Using the spin-Hamiltonian formalism the magnetic parameters are introduced through the components of the Lambda-tensor involving only the matrix elements of the angular momentum operator. The energy levels for a variety of spins are generated and the modeling of the magnetization, the magnetic susceptibility and the heat capacity is done. Theoretical formulae necessary in performing the energy level calculations for a multi-term system are prepared with the help of the irreducible tensor operator approach. The goal of the programming lies in the fact that the entire relevant matrix elements (electron repulsion, crystal field, spin-orbit interaction, orbital-Zeeman, and spin-Zeeman operators) are evaluated in the basis set of free-atom terms. The modeling of the zero-field splitting is done at three levels of sophistication. The spin-Hamiltonian formalism offers simple formulae for the magnetic parameters by evaluating the matrix elements of the angular momentum operator in the basis set of the crystal-field terms. The magnetic functions for dn complexes are modeled for a wide range of the crystal-field strengths.

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