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Author: Don H. Tucker
Publisher: Academic Press
ISBN: 1483261026
Category : Mathematics
Languages : en
Pages : 475
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Book Description
Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.
Author: Don H. Tucker
Publisher: Academic Press
ISBN: 1483261026
Category : Mathematics
Languages : en
Pages : 475
Get Book Here
Book Description
Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.
Author: Jayadev S. Athreya
Publisher: American Mathematical Society
ISBN: 147047655X
Category : Mathematics
Languages : en
Pages : 195
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Book Description
This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associated renormalization techniques. Proofs that go beyond the introductory nature of the book are deftly omitted, allowing readers to develop essential tools and motivation before delving into the literature. Beginning with the fundamental example of the flat torus, the book goes on to establish the three equivalent definitions of translation surface. An introduction to the moduli space of translation surfaces follows, leading into a study of the dynamics and ergodic theory associated to a translation surface. Counting problems and group actions come to the fore in the latter chapters, giving a broad overview of progress in the 40 years since the ergodicity of the Teichmüller geodesic flow was proven. Exercises are included throughout, inviting readers to actively explore and extend the theory along the way. Translation Surfaces invites readers into this exciting area, providing an accessible entry point from the perspectives of dynamics, ergodicity, and measure theory. Suitable for a one- or two-semester graduate course, it assumes a background in complex analysis, measure theory, and manifolds, while some familiarity with Riemann surfaces and ergodic theory would be beneficial.
Author: Gary David Bouton
Publisher: McGraw Hill Professional
ISBN: 0071625607
Category : Computers
Languages : en
Pages : 372
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Book Description
Master the world's fastest drawing program! Learn the principles of vector drawing as you learn technique, composition, and other art essentials--then apply your skills to creating websites, animations, logos, photographic retouches, and more. Xara Xtreme 5: The Official Guide shows you how to customize the software, use QuickShapes, draw vector paths, use fills for photorealistic effects, and compose professional desktop publishing documents. This hands-on resource brings you from concept to completion with examples that span a range of art styles--using the vector drawing program that thinks it's a bitmap editor. With these tutorials that apply to Xara Xtreme, Xtreme Pro, and Magix Xtreme Photo & Graphic Designer, you'll: Work with vector paths that look like paint strokes Tag colors to dramatically change complex drawings in seconds Build multi-page, graphically rich websites in a few hours Convert bitmap web graphics to resizable vector shapes Design artwork in minutes that looks like it took days Create and export original Flash animations for the web in no time Create 3D text and apply special effects to imported photos and vector shapes Invisibly retouch photographs with feathering, fractal fills, multi-step gradients, and transparencies Inside you'll find an inspirational Xara GrandMasters Gallery of award-winning artwork from around the world. Get started today by downloading free trial software from www.xara.com! Download lesson files from www.mhprofessional.com/computingdownload and www.theboutons.com. Gary David Bouton, an international award-winning illustrator, has authored 25 books on graphics software, including CorelDRAW X4: The Official Guide. He practices what he teaches: his work can be seen on Graphics.com, TalkGraphics, The CG Society, and YouTube.
Author: Joseph Diestel
Publisher: American Mathematical Soc.
ISBN: 0821815156
Category : Mathematics
Languages : en
Pages : 338
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Book Description
In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.
Author: C. Wade Savage
Publisher: University of California Press
ISBN: 0520367065
Category : Philosophy
Languages : en
Pages : 590
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Book Description
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1970.
Author: A. Boros
Publisher: Elsevier
ISBN: 0444598162
Category : Science
Languages : en
Pages : 229
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Book Description
The information obtained about a measured object is called ``crude'' measurement information and must be related to the conditions under which the measurement took place. Using ``crude'' measurement information as a starting point, evaluation produces physically correctly interpreted data with their estimated (or corrected) error. Although a number of works deal with the evaluation of measurements, they either appeared a long time ago or serve essentially different aims. This book gives a comprehensive and current overview on the basic principles, aids, devices, and methods in the evaluation of measurements performed in all fields of technology and science in order to gain information about physical or technical objects. It also provides an introduction to the more recent problem areas such as frequency analysis, stochastic measurement information, real time treatment of measurement information, etc.The book will prove useful in solving the problem areas encountered by those involved in measurement technology and measurement evaluation. It will also serve as an introduction to those not possessing any specialized and advanced technical training in the subject matter.
Author: Anatoly M. Vershik
Publisher: Springer
ISBN: 354044890X
Category : Mathematics
Languages : en
Pages : 245
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Book Description
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.
Author:
Publisher:
ISBN:
Category : Ordnance
Languages : en
Pages : 430
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Book Description
Author: Arnt-Borre Salberg
Publisher: Springer Science & Business Media
ISBN: 3642022308
Category : Computers
Languages : en
Pages : 797
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Book Description
This volume contains the papers presented at the Scandinavian Conference on Image Analysis, SCIA 2009, which was held at the Radisson SAS Scandinavian Hotel, Oslo, Norway, June 15–18. SCIA 2009 was the 16th in the biennial series of conferences, which has been organized in turn by the Scandinavian countries Sweden, Finland, D- mark and Norway since 1980. The event itself has always attracted participants and author contributions from outside the Scandinavian countries, making it an international conference. Theconferenceincludedafulldayoftutorialsand?vekeynotetalksprovided by world-renowned experts. The program covered high-quality scienti?c cont- butions within image analysis, human and action analysis, pattern and object recognition,colorimagingandquality,medicalandbiomedicalapplications,face andheadanalysis,computer vision,andmultispectralcoloranalysis. The papers werecarefully selected based on at least two reviews. Among 154 submissions 79 wereaccepted,leadingtoanacceptancerateof51%. SinceSCIAwasarrangedas a single-track event, 30 papers were presented in the oral sessions and 49 papers were presented in the poster sessions. A separate session on multispectral color science was organized in cooperation with the 11th Symposium of Multispectral Color Science (MCS 2009). Since 2009 was proclaimed the “International Year of Astronomy” by the United Nations General Assembly, the conference also contained a session on the topic “Imageand PatternAnalysis in Astronomyand Astrophysics. ” SCIA has a reputation of having a friendly environment, in addition to hi- quality scienti?c contributions. We focused on maintaining this reputation, by designing a technical and social program that we hope the participants found interesting and inspiring for new research ideas and network extensions. We thank the authors for submitting their valuable work to SCIA.
Author: Francis S. Tse
Publisher: CRC Press
ISBN: 1351432761
Category : Technology & Engineering
Languages : en
Pages : 792
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Book Description
Presenting a mathematical basis for obtaining valid data, and basic concepts inmeasurement and instrumentation, this authoritative text is ideal for a one-semesterconcurrent or independent lecture/laboratory course.Strengthening students' grasp of the fundamentals with the most thorough, in-depthtreatment available, Measurement and Instrumentation in Engineeringdiscusses in detail basic methods of measurement, interaction between a transducer andits environment, arrangement of components in a system, and system dynamics ...describes current engineering practice and applications in terms of principles andphysical laws .. . enables students to identify and document the sources of noise andloading . .. furnishes basic laboratory experiments in sufficient detail to minimizeinstructional time ... and features more than 850 display equations, over 625 figures,and end-of-chapter problems.This impressive text, written by masters in the field, is the outstanding choice forupper-level undergraduate and beginning graduate-level courses in engineeringmeasurement and instrumentation in universities and four-year technical institutes formost departments.
