Numerical Range

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Publisher : Springer Science & Business Media
ISBN 13 : 1461384982
Total Pages : 202 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Numerical Range by : Karl E. Gustafson

Download or read book Numerical Range written by Karl E. Gustafson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimen sions comprise the theory of the numerical range W(T). There are two competing names for W(T), namely, the numerical range of T and the field of values for T. The former has been favored historically by the func tional analysis community, the latter by the matrix analysis community. It is a toss-up to decide which is preferable, and we have finally chosen the former because it is our habit, it is a more efficient expression, and because in recent conferences dedicated to W(T), even the linear algebra commu nity has adopted it. Also, one universally refers to the numerical radius, and not to the field of values radius. Originally, Toeplitz and Hausdorff called it the Wertvorrat of a bilinear form, so other good names would be value field or form values. The Russian community has referred to it as the Hausdorff domain. Murnaghan in his early paper first called it the region of the complex plane covered by those values for an n x n matrix T, then the range of values of a Hermitian matrix, then the field of values when he analyzed what he called the sought-for region.

Numerical Ranges of Hilbert Space Operators

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Publisher : Cambridge University Press
ISBN 13 : 1108787606
Total Pages : 556 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Numerical Ranges of Hilbert Space Operators by : Hwa-Long Gau

Download or read book Numerical Ranges of Hilbert Space Operators written by Hwa-Long Gau and published by Cambridge University Press. This book was released on 2021-08-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are numerous comments and references, allowing you to discover related developments and to pursue areas of interest in the literature. Also included is an appendix on basic convexity properties on the Euclidean space. Targeted at graduate students as well as researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works on the numerical range theory. It serves as an accessible entry point into this lively and exciting research area.

Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras

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Publisher : CUP Archive
ISBN 13 : 0521079888
Total Pages : 149 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras by : F. F. Bonsall

Download or read book Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras written by F. F. Bonsall and published by CUP Archive. This book was released on 1971-03-02 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.

Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other

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Publisher : American Mathematical Soc.
ISBN 13 : 147044383X
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other by : Ulrich Daepp

Download or read book Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other written by Ulrich Daepp and published by American Mathematical Soc.. This book was released on 2018 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry.

Western Range and Livestock, 17 Western States ..., Numerical Rating of Condition, by Months, Range Feed, Cattle, Sheep, Goats

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Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Western Range and Livestock, 17 Western States ..., Numerical Rating of Condition, by Months, Range Feed, Cattle, Sheep, Goats by :

Download or read book Western Range and Livestock, 17 Western States ..., Numerical Rating of Condition, by Months, Range Feed, Cattle, Sheep, Goats written by and published by . This book was released on 1965 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Range of Holomorphic Mappings and Applications

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Publisher : Springer
ISBN 13 : 3030050203
Total Pages : 238 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Numerical Range of Holomorphic Mappings and Applications by : Mark Elin

Download or read book Numerical Range of Holomorphic Mappings and Applications written by Mark Elin and published by Springer. This book was released on 2019-03-11 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.

Application of Synoptic Climatology and Short-range Numerical Prediction to Five-day Forecasting

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Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Application of Synoptic Climatology and Short-range Numerical Prediction to Five-day Forecasting by : William H. Klein

Download or read book Application of Synoptic Climatology and Short-range Numerical Prediction to Five-day Forecasting written by William H. Klein and published by . This book was released on 1965 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Five-day mean and daily meteorological data observed since 1949 are analyzed empirically in order to derive useful climatological and forecasting relationships between surface weather elements and the circulation pattern. The synoptic climatology of 5-day precipitation, surface temperature, 700-1000-mb. thickness, and sea level pressure is investigated by constructing fields of simple linear correlation between these elements and the simultaneous anomaly of 700-mb. height over North American and adjacent oceans. The relation of precipitation and temperature to the field of sea level pressure is studied in a similar fashion. On the basis of the analogy are drawn concerning the association between each weather element and other meteorological factors. Schematic models are then constructed showing preferred portions of the circulation pattern at 700-mb. and sea level for opposite extremes of weather in different parts of the United States.

The Oxford Handbook of Numerical Cognition

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Publisher : Oxford Library of Psychology
ISBN 13 : 0199642346
Total Pages : 1217 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Oxford Handbook of Numerical Cognition by : Roi Cohen Kadosh

Download or read book The Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford Library of Psychology. This book was released on 2015 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

Analysis without Borders

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Publisher : Springer Nature
ISBN 13 : 3031593979
Total Pages : 256 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Analysis without Borders by : Sergei Rogosin

Download or read book Analysis without Borders written by Sergei Rogosin and published by Springer Nature. This book was released on with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Continuation Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3642612571
Total Pages : 402 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Numerical Continuation Methods by : Eugene L. Allgower

Download or read book Numerical Continuation Methods written by Eugene L. Allgower and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code format. An appendix supplies five sample FORTRAN programs with numerical examples, which readers can adapt to fit their purposes, and a description of the program package SCOUT for analyzing nonlinear problems via piecewise-linear methods. An extensive up-to-date bibliography spanning 46 pages is included. The material in this book has been presented to students of mathematics, engineering and sciences with great success, and will also serve as a valuable tool for researchers in the field.

Numerical Computing with IEEE Floating Point Arithmetic

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Publisher : SIAM
ISBN 13 : 0898715717
Total Pages : 105 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Numerical Computing with IEEE Floating Point Arithmetic by : Michael L. Overton

Download or read book Numerical Computing with IEEE Floating Point Arithmetic written by Michael L. Overton and published by SIAM. This book was released on 2001-01-01 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Regular Expressions Cookbook

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Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449327486
Total Pages : 613 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Regular Expressions Cookbook by : Jan Goyvaerts

Download or read book Regular Expressions Cookbook written by Jan Goyvaerts and published by "O'Reilly Media, Inc.". This book was released on 2012-08-13 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take the guesswork out of using regular expressions. With more than 140 practical recipes, this cookbook provides everything you need to solve a wide range of real-world problems. Novices will learn basic skills and tools, and programmers and experienced users will find a wealth of detail. Each recipe provides samples you can use right away. This revised edition covers the regular expression flavors used by C#, Java, JavaScript, Perl, PHP, Python, Ruby, and VB.NET. You’ll learn powerful new tricks, avoid flavor-specific gotchas, and save valuable time with this huge library of practical solutions. Learn regular expressions basics through a detailed tutorial Use code listings to implement regular expressions with your language of choice Understand how regular expressions differ from language to language Handle common user input with recipes for validation and formatting Find and manipulate words, special characters, and lines of text Detect integers, floating-point numbers, and other numerical formats Parse source code and process log files Use regular expressions in URLs, paths, and IP addresses Manipulate HTML, XML, and data exchange formats Discover little-known regular expression tricks and techniques

Numerical Algorithms

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Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Space, Time and Number in the Brain

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Publisher : Academic Press
ISBN 13 : 0123859492
Total Pages : 374 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Space, Time and Number in the Brain by : Stanislas Dehaene

Download or read book Space, Time and Number in the Brain written by Stanislas Dehaene and published by Academic Press. This book was released on 2011-07-13 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. - The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition - Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field - Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes

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Publisher : Academic Press
ISBN 13 : 0128117192
Total Pages : 462 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes by : Miguel Cerrolaza

Download or read book Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes written by Miguel Cerrolaza and published by Academic Press. This book was released on 2017-12-28 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes covers new and exciting modeling methods to help bioengineers tackle problems for which the Finite Element Method is not appropriate. The book covers a wide range of important subjects in the field of numerical methods applied to biomechanics, including bone biomechanics, tissue and cell mechanics, 3D printing, computer assisted surgery and fluid dynamics. Modeling strategies, technology and approaches are continuously evolving as the knowledge of biological processes increases. Both theory and applications are covered, making this an ideal book for researchers, students and R&D professionals. - Provides non-conventional analysis methods for modeling - Covers the Discrete Element Method (DEM), Particle Methods (PM), MessLess and MeshFree Methods (MLMF), Agent-Based Methods (ABM), Lattice-Boltzmann Methods (LBM) and Boundary Integral Methods (BIM) - Includes contributions from several world renowned experts in their fields - Compares pros and cons of each method to help you decide which method is most applicable to solving specific problems

Numerical Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387400656
Total Pages : 686 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Numerical Optimization by : Jorge Nocedal

Download or read book Numerical Optimization written by Jorge Nocedal and published by Springer Science & Business Media. This book was released on 2006-12-11 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Accuracy & Probability of Fire

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Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Accuracy & Probability of Fire by : James Henry Glennon

Download or read book Accuracy & Probability of Fire written by James Henry Glennon and published by . This book was released on 1888 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: