الصفحة 34
الصفحة 34
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Functional and operatorial statistics

An increasing number of statistical problems and methods involve infinite-dimensional aspects. This is due to the progress of technologies which allow us to store more and more information while modern instruments are able to collect data much more effectively due to their increasingly sophisticated design. This evolution directly concerns statisticians, who have to propose new methodologies while taking into account such high-dimensional data (e.g. continuous processes, functional data, etc.). The numerous applications (micro-arrays, paleo-ecological data, radar waveforms, spectrometric curves, speech recognition, continuous time series, 3-D images, etc.) in various fields (biology, econometrics, environmetrics, the food industry, medical sciences, paper industry, etc.) make researching this statistical topic very worthwhile. This book gathers important contributions on the functional and operatorial statistics fields

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Functional and logic programming ; 9th International Symposium, FLOPS 2008, Ise, Japan, April 14-16, 2008. Proceedings

This volume contains the proceedings of the 9th International Symposium on Functional and Logic Programming (FLOPS 2008), held in Ise, Japan, April 14-16, 2008 at the Ise City Plaza. FLOPS is a forum for research on all issues concerning functional progr- ming and logic programming. In particular it aims to stimulate the cro- fertilization as well as integration of the two paradigms. The Program Committee meeting was conducted electro- cally, for a period of two weeks in December 2007. After careful and thorough discussion, the ProgramCommittee selected20 papers(33%)for presentationat theconference.

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Functional Analysis and Evolution Equations : The Günter Lumer Volume

Günter Lumer was an outstanding mathematician whose work has great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips of 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Günter Lumer.

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Function algebras on finite sets : Basic course on many-valued logic and clone theory

Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied. This book gives a broad introduction to the theory of function algebras and leads to the cutting edge of research. To familiarize the reader from the very beginning on with the algebraic side of function algebras the more general concepts of the Universal Algebra is given in the first part of the book. The second part on fuction algebras covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, clone theory.

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Fuchsian Reduction : Applications to Geometry, Cosmology, and Mathematical Physics

Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein's equations and cosmology, stellar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for semilinear wave equations, Fuchsian reduction research has grown in response to those problems in pure and applied mathematics where numerical computations fail.

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FSTTCS 2007 : Foundations of software technology and theoretical computer science; 27th International Conference, New Delhi, India, December 12-14, 2007, Proceedings

This book constitutes the refereed proceedings of the 27th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2007. The papers provide original research results in fundamental aspects of computer science as well as reports from the frontline of software technology and theoretical computer science.

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FSTTCS 2006 : Foundations of software technology and theoretical computer science ; 26th International Conference, Kolkata, India, December 13-15, 2006, Proceed

This book constitutes the refereed proceedings of the 26th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2006, held in Kolkata, India, in December 2006. It contains 38 papers that cover a broad variety of current topics from the theory of computing, ranging from formal methods, discrete mathematics, complexity theory, and automata theory to theoretical computer science in general.

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FSTTCS 2005 : Foundations of software technology and theoretical computer science ; 25th International conference, Hyderabad, India, December 15-18, 2005, Proceedings

This year marks a milestone in the history of FST&TCS, which ?rst took place in 1981. We would like to take this opportunity to express our appreciation of the foresight and commitment to excellence shown by the early organizersof the conference. The conference is now organized by IARCS (Indian Association for Researchin Computing Science), and the conference has been the foundation on which the IARCS community has been built. To commemorate the Silver Jubilee of FST&TCS.

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FSTTCS 2004 : Foundations of software technology and theoretical computer science ; 24th International Conference, Chennai, India, December 16-18, 2004, Proceedings

The international conference on the Foundations of Software Technology and Theoretical Computer Science (FSTTCS) is the longest-running conference on computer science in India, and is organized under the aegis of the Indian As- ciation for Research in Computing Science, IARCS. Since its inception in 1981, the conference (held annually in the month of December) has helped in nurt- ing and creating an environment for the exchange of ideas amongst the research community in the country, by attracting top scientists around the world to the conference. This volume contains the proceedings of the 24th FSTTCS conf- ence held in December 2004. A strong point of the FSTTCS programmes has been excellent invited talks by eminent computer scientists of international renown.

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Frontiers of Numerical Analysis : Durham 2004

Contains lecture notes on four topics at the forefront of research in computational mathematics. This book presents a self-contained guide to a research area, an extensive bibliography, and proofs of the key results. It is suitable for professional mathematicians who require an accurate account of research in areas parallel to their own.

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Frontiers in Statistical Quality Control 8

The proportion of nonconforming meters in a lot has traditionally defined lot quality for utility meter sampling inspection purposes. However, lot quality is usually measured on the basis of two criteria for such products: the proportion of nonc- forming packages in the lot and the lot mean quantity.

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Frontiers in Number Theory, Physics, and Geometry II : On Conformal Field Theories, Discrete Groups and Renormalization

The present book collects most of the courses and seminars delivered at the meetingentitled"FrontiersinNumberTheory, PhysicsandGeometry", which took place at the Centrede PhysiquedesHouches in theFrenchAlps, March9- 21,2003. Itisdividedintotwovolumes. VolumeIcontainsthecontributionson three broad topics: Random matrices, Zeta functions and Dynamical systems. The present volume contains sixteen contribution sonthreethemes:Conformal?eld theories for strings and branes, Discrete groups and automorphic forms and?nally, Hopf algebras and renormalization. The relation between Mathematics and Physics has a long history.

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Frontiers in Number Theory, Physics, and Geometry I : On Random Matrices, Zeta Functions, and Dynamical Systems

This book presents pedagogical contributions on selected topics relating Number Theory, Theoretical Physics and Geometry. The parts are composed of long self-contained pedagogical lectures followed by shorter contributions on specific subjects organized by theme. Most courses and short contributions go up to the recent developments in the fields; some of them follow their author?s original viewpoints. There are contributions on Random Matrix Theory, Quantum Chaos, Non-commutative Geometry, Zeta functions, and Dynamical Systems. The chapters of this book are extended versions of lectures given at a meeting entitled Number Theory, Physics and Geometry, held at Les Houches in March 2003, which gathered mathematicians and physicists.

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Frontiers in Algorithmics ; 2nd Annual International Workshop, FAW 2008, Changsha, China, June 19-21, 2008, Proceeedings

This book constitutes the refereed proceedings of the Second International Frontiers of Algorithmics Workshop, FAW 2008, held in Changsha, China, in June 2008.The 33 revised full papers presented together with the abstracts of 3 invited talks were carefully reviewed and selected from 80 submissions. The papers were selected for 9 special focus tracks in the areas of biomedical informatics, discrete structures, geometric information processing and communication, games and incentive analysis.

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Frontiers in Algorithmics ; 14th International Workshop, FAW 2020, Haikou, China, October 19-21, 2020, Proceedings

This book constitutes the proceedings of the 14th International Workshop on Frontiers in Algorithmics, FAW 2020, held in Haikou, China, in May 2020. The conference was held virtually due to the COVID-19 pandemic. The 12 full papers presented in this volume were carefully reviewed and selected from 15 submissions. The workshop provides a focused forum on current trends of research on algorithms, discrete structures, and their applications, and brings together international experts at the research frontiers in these areas to exchange ideas and to present significant new results. The papers detail graph theory, scheduling and algorithm and complexity.

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From Vectors to Tensors

It is true that there exist many books dedicated to linear algebra and some­ what fewer to multilinear algebra, written in several languages, and perhaps one can think that no more books are needed. However, it is also true that in algebra many new results are continuously appearing, different points of view can be used to see the mathematical objects and their associated structures, and different orientations can be selected to present the material, and all of them deserve publication. he book assumes a certain knowledge of linear algebra, and is intended as a textbook for graduate and postgraduate students and also as a consultation book. It is addressed to mathematicians, physicists, engineers, and applied scientists with a practical orientation who are looking for powerful tensor tools to solve their problems.

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From Summetria to Symmetry : The Making of a Revolutionary Scientific Concept

The concept of symmetry is inherent to modern science, and its evolution has a complex history that richly exemplifies the dynamics of scientific change. This study is based on primary sources, presented in context: the authors examine closely the trajectory of the concept in the mathematical and scientific disciplines as well as its trajectory in art and architecture. The principal goal is to demonstrate that, despite the variety of usages in many different domains there is a conceptual unity underlying the invocation of symmetry in the period from antiquity to the 1790s which is distinct from the scientific usages of this term that first emerged in France at the end of the 18th century.

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From Stochastic Calculus to Mathematical Finance : The Shiryaev Festschrift

The Festschrift is a collection of papers, including several surveys, written by his former students, co-authors and colleagues. These reflect the wide range of scientific interests of the teacher and his Moscow school. The topics range from the disorder problems to stochastic calculus and their applications to mathematical economics and finance. A full biobibliography of Shiryaev's works is included. The book represents the modern state of art of many aspects of a quickly maturing theory and will be an essential source and reading for researchers in this area.

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From Nano to Space : Applied Mathematics Inspired by Roland Bulirsch

Graduate students and postgraduates in Mathematics, Engineering and the Natural Sciences want to understand Applied Mathematics for the solution of everyday problems. Scholars of Roland Bulirsch working at universities, at research institutions and in industry combine research and review papers in this anthology. Their work is summed up under the title "From Nano to Space – Applied Mathematics Inspired by Roland Bulirsch". More than 20 contributions are divided into scales: nano, micro, macro, space and real life. The contributions survey current research and present case studies very interesting and informative for both graduate students and postgraduates. The contributions show how modern Applied Mathematics influences our everyday lives. Several contributions include complex graphics and illustrations, many of them in color.

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From Hyperbolic Systems to Kinetic Theory : A Personalized Quest

Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversible Hamiltonian framework? By using probabilities, which destroy physical reality! Forces at distance are non-physical as we know from Poincaré's theory of relativity. Yet Maxwell and Boltzmann only used trajectories like hyperbolas, reasonable for rarefied gases, but wrong without bound trajectories if the "mean free path between collisions" tends to 0. Tartar relies on his H-measures, a tool created for homogenization, to explain some of the weaknesses, e.g. from quantum mechanics: there are no "particles", so the Boltzmann equation and the second principle, can not apply. He examines modes used by energy, proves which equation governs each mode, and conjectures that the result will not look like the Boltzmann equation, and there will be more modes than those indexed by velocity!

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