Measures with Symmetry Properties

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540002352
Total Pages : 184 pages
Book Rating : 4.0/5 (23 download)

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Book Synopsis Measures with Symmetry Properties by : Werner Schindler

Download or read book Measures with Symmetry Properties written by Werner Schindler and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries and invariance principles play an important role in various branches of mathematics. This book deals with measures having weak symmetry properties. Even mild conditions ensure that all invariant Borel measures on a second countable locally compact space can be expressed as images of specific product measures under a fixed mapping. The results derived in this book are interesting for their own and, moreover, a number of carefully investigated examples underline and illustrate their usefulness and applicability for integration problems, stochastic simulations and statistical applications.

Symmetry Properties of Average Densities and Tangent Measure Distributions of Measures on the Line

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Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (645 download)

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Book Synopsis Symmetry Properties of Average Densities and Tangent Measure Distributions of Measures on the Line by : Peter Mörters

Download or read book Symmetry Properties of Average Densities and Tangent Measure Distributions of Measures on the Line written by Peter Mörters and published by . This book was released on 1997 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coexistence of Symmetry Properties for Bayesian Confirmation Measures

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Coexistence of Symmetry Properties for Bayesian Confirmation Measures by : Emilio Celotto

Download or read book Coexistence of Symmetry Properties for Bayesian Confirmation Measures written by Emilio Celotto and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many Bayesian Confirmation Measures have been proposed so far. They are used to assess the degree to which an evidence (or premise) E supports or contradicts an hypothesis (or conclusion) H, making use of prior probability P(H), posterior probability P(H|E) and of probability of evidence P(E). Many kinds of comparisons of those measures have already been made. Here we focus on symmetry properties of confirmation measures, which are partly inspired by classical geometric symmetries. We define symmetries relating them to the dihedral group of symmetries of the square, determining the symmetries that can coexist and reconsidering desirable/undesirable symmetry properties for a Bayesian Confirmation Measure.

Measures of Symmetry for Convex Sets and Stability

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Publisher : Springer
ISBN 13 : 3319237330
Total Pages : 289 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Measures of Symmetry for Convex Sets and Stability by : Gabor Toth

Download or read book Measures of Symmetry for Convex Sets and Stability written by Gabor Toth and published by Springer. This book was released on 2015-11-26 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook treats two important and related matters in convex geometry: the quantification of symmetry of a convex set—measures of symmetry—and the degree to which convex sets that nearly minimize such measures of symmetry are themselves nearly symmetric—the phenomenon of stability. By gathering the subject’s core ideas and highlights around Grünbaum’s general notion of measure of symmetry, it paints a coherent picture of the subject, and guides the reader from the basics to the state-of-the-art. The exposition takes various paths to results in order to develop the reader’s grasp of the unity of ideas, while interspersed remarks enrich the material with a behind-the-scenes view of corollaries and logical connections, alternative proofs, and allied results from the literature. Numerous illustrations elucidate definitions and key constructions, and over 70 exercises—with hints and references for the more difficult ones—test and sharpen the reader’s comprehension. The presentation includes: a basic course covering foundational notions in convex geometry, the three pillars of the combinatorial theory (the theorems of Carathéodory, Radon, and Helly), critical sets and Minkowski measure, the Minkowski–Radon inequality, and, to illustrate the general theory, a study of convex bodies of constant width; two proofs of F. John’s ellipsoid theorem; a treatment of the stability of Minkowski measure, the Banach–Mazur metric, and Groemer’s stability estimate for the Brunn–Minkowski inequality; important specializations of Grünbaum’s abstract measure of symmetry, such as Winternitz measure, the Rogers–Shepard volume ratio, and Guo’s Lp -Minkowski measure; a construction by the author of a new sequence of measures of symmetry, the kth mean Minkowski measure; and lastly, an intriguing application to the moduli space of certain distinguished maps from a Riemannian homogeneous space to spheres—illustrating the broad mathematical relevance of the book’s subject.

An Introduction to Measure Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470466406
Total Pages : 206 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introduction to Measure Theory by : Terence Tao

Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

Measures with Symmetry Properties

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Publisher : Springer
ISBN 13 : 9783540002352
Total Pages : 174 pages
Book Rating : 4.0/5 (23 download)

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Book Synopsis Measures with Symmetry Properties by : Werner Schindler

Download or read book Measures with Symmetry Properties written by Werner Schindler and published by Springer. This book was released on 2002-12-12 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries and invariance principles play an important role in various branches of mathematics. This book deals with measures having weak symmetry properties. Even mild conditions ensure that all invariant Borel measures on a second countable locally compact space can be expressed as images of specific product measures under a fixed mapping. The results derived in this book are interesting for their own and, moreover, a number of carefully investigated examples underline and illustrate their usefulness and applicability for integration problems, stochastic simulations and statistical applications.

Dimensional Analysis

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Publisher : Courier Corporation
ISBN 13 : 048615047X
Total Pages : 80 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Dimensional Analysis by : Hans G. Hornung

Download or read book Dimensional Analysis written by Hans G. Hornung and published by Courier Corporation. This book was released on 2013-01-18 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derived from a course in fluid mechanics, this text for advanced undergraduates and graduate students employs symmetry arguments to illustrate the principles of dimensional analysis. 2006 edition.

Symmetry 2

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Publisher : Elsevier
ISBN 13 : 148329949X
Total Pages : 1091 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Symmetry 2 by : I. Hargittai

Download or read book Symmetry 2 written by I. Hargittai and published by Elsevier. This book was released on 2016-02-25 with total page 1091 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry 2 aims to present an overview of the contemporary status of symmetry studies, particularly in the arts and sciences, emphasizing both its role and importance. Symmetry is not only one of the fundamental concepts in science, but is also possibly the best unifying concept between various branches of science, the arts and other human activities. Whereas symmetry has been considered important for centuries primarily for its aesthetic appeal, this century has witnessed a dramatic enhancement of its status as a cornerstone in the sciences. In addition to traditionally symmetry-oriented fields such as crystallography and spectroscopy, the concept has made headway in fields as varied as reaction chemistry, nuclear physics, and the study of the origin of the universe. The book was initiated in response to the success of the first volume, which not only received good reviews, but received the award for "The Best Single Issue of a Journal" by the Association of American Publishers for 1986. The second volume extends the application of symmetry to new fields, such as medical sciences and economics, as well as investigating further certain topics introduced in Symmetry. The book is extensively illustrated and with over 64 contributions from 16 countries presents an international overview of the nature and diversity of symmetry studies today.

Logics in Artificial Intelligence

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Publisher : Springer
ISBN 13 : 3319115588
Total Pages : 719 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Logics in Artificial Intelligence by : Eduardo Fermé

Download or read book Logics in Artificial Intelligence written by Eduardo Fermé and published by Springer. This book was released on 2014-09-16 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th European Conference on Logics in Artificial Intelligence, JELIA 2014, held in Funchal, Madeira, Portugal, in September 2014. The 35 full papers and 14 short papers included in this volume were carefully reviewed and selected from 121 submissions. They are organized in topical sections named: description logics; automated reasoning; logics for uncertain reasoning; non-classical logics; answer-set programming; belief revision; dealing with inconsistency in ASP and DL; reason about actions and causality; system descriptions; short system descriptions; and short papers. The book also contains 4 full paper invited talks.

Numbers and Symmetry

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Publisher : CRC Press
ISBN 13 : 1000153371
Total Pages : 276 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Numbers and Symmetry by : Bernard L. Johnston

Download or read book Numbers and Symmetry written by Bernard L. Johnston and published by CRC Press. This book was released on 2020-07-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures. In terms of classical algebraic structures, the text divides roughly into three parts:

The Measurement of Grain Boundary Geometry

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Publisher : Routledge
ISBN 13 : 1351409875
Total Pages : 230 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis The Measurement of Grain Boundary Geometry by : Valerie Randle

Download or read book The Measurement of Grain Boundary Geometry written by Valerie Randle and published by Routledge. This book was released on 2017-07-12 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the selection of material for particular engineering properties becomes increasingly important in keeping costs down, methods for evaluating material properties also become more relevant. One such method examines the geometry of grain boundaries, which reveals much about the properties of the material. Studying material properties from their geometrical measurements, The Measurement of Grain Boundary Geometry provides a framework for a specialized application of electron microscopy for metals and alloys and, by extension, for ceramics, minerals, and semiconductors. The book presents an overview of the developments in the theory of grain boundary geometry and its practical applications in material engineering. It also covers the tunneling electron microscope (TEM), experimental aspects of data collection, data processing, and examples from actual investigations. Each step of the analysis process is clearly described, from data collection through processing, analysis, representation, and display to applications. The book also includes a glossary of terms. Exploring both the experimental and analytical aspects of the subject, this practical reference guide is essential for researchers and students involved in material properties, whether in physics, materials science, metallurgy, or physical chemistry.

Software Development Measurement Programs

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Publisher : Springer
ISBN 13 : 3319918362
Total Pages : 271 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Software Development Measurement Programs by : Miroslaw Staron

Download or read book Software Development Measurement Programs written by Miroslaw Staron and published by Springer. This book was released on 2018-07-13 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to promote the structured, standardized and accurate use of software measurement at all levels of modern software development companies. To do so, it focuses on seven main aspects: sound scientific foundations, cost-efficiency, standardization, value-maximization, flexibility, combining organizational and technical aspects, and seamless technology integration. Further, it supports companies in their journey from manual reporting to automated decision support by combining academic research and industrial practice. When scientists and engineers measure something, they tend to focus on two different things. Scientists focus on the ability of the measurement to quantify whatever is being measured; engineers, however, focus on finding the right qualities of measurement given the designed system (e.g. correctness), the system’s quality of use (e.g. ease of use), and the efficiency of the measurement process. In this book, the authors argue that both focuses are necessary, and that the two are complementary. Thus, the book is organized as a gradual progression from theories of measurement (yes, you need theories to be successful!) to practical, organizational aspects of maintaining measurement systems (yes, you need the practical side to understand how to be successful). The authors of this book come from academia and industry, where they worked together for the past twelve years. They have worked with both small and large software development organizations, as researchers and as measurement engineers, measurement program leaders and even teachers. They wrote this book to help readers define, implement, deploy and maintain company-wide measurement programs, which consist of a set of measures, indicators and roles that are built around the concept of measurement systems. Based on their experiences introducing over 40,000 measurement systems at over a dozen companies, they share essential tips and tricks on how to do it right and how to avoid common pitfalls.

Physics, Philosophy and Psychoanalysis

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027715333
Total Pages : 372 pages
Book Rating : 4.7/5 (153 download)

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Book Synopsis Physics, Philosophy and Psychoanalysis by : Robert S. Cohen

Download or read book Physics, Philosophy and Psychoanalysis written by Robert S. Cohen and published by Springer Science & Business Media. This book was released on 1983-04-30 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: To celebrate Adolf Griinbaum's sixtieth birthday by offering him this bouquet of essays written for this purpose was the happy task of an autonomous Editorial Committee: Wesley C. Salmon, Nicholas Rescher, Larry Laudan, Carl G. Hempel, and Robert S. Cohen. To present the book within the Boston Studies in the Philosophy of Science was altogether fitting and natural, for Griinbaum has' been friend and supporter of philosophy of science at Boston University for twenty-five years, and unofficial godfather to the Boston Colloquium. To regret that we could not include contributions from all his well-wishers, critical admirers and admiring critics, is only to regret that we did not have an encyclopedic space at the committee's disposal. But we, and all involved in this book, speak for all the others in the philo sophical, scientific, and personal worlds of Adolf Griinbaum in greeting him on May 15, 1983, with our wishes for his health, his scholarship, his happiness. Our gratitude is due to Carolyn Fawcett for her care and accuracy in editing this book, and for the preparation of the Index; and to Elizabeth McMunn for her help again and again, especially in preparation of the Bibliography of the Published Writings of Adolf Griinbaum; and to Thelma Griinbaum for encouraging, planning, and cheering. Boston University R.S.C. Center for the Philosophy and History of Science M.W.W.

Shell Structures: Theory and Applications Volume 4

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Publisher : CRC Press
ISBN 13 : 135168048X
Total Pages : 574 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Shell Structures: Theory and Applications Volume 4 by : Wojciech Pietraszkiewicz

Download or read book Shell Structures: Theory and Applications Volume 4 written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2017-10-30 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Medical Image Computing and Computer-Assisted Intervention - MICCAI'99

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Publisher : Springer
ISBN 13 : 3540482326
Total Pages : 1331 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Medical Image Computing and Computer-Assisted Intervention - MICCAI'99 by : Chris Taylor

Download or read book Medical Image Computing and Computer-Assisted Intervention - MICCAI'99 written by Chris Taylor and published by Springer. This book was released on 2006-09-10 with total page 1331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI'99, held in Cambridge, UK, in September 1999. The 133 revised full papers presented were carefully reviewed and selected from a total of 213 full-length papers submitted. The book is divided into topical sections on data-driven segmentation, segmentation using structural models, image processing and feature detection, surfaces and shape, measurement and interpretation, spatiotemporal and diffusion tensor analysis, registration and fusion, visualization, image-guided intervention, robotic systems, and biomechanics and simulation.

Modern Acoustical Techniques for the Measurement of Mechanical Properties

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Author :
Publisher : Elsevier
ISBN 13 : 0080531407
Total Pages : 457 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Modern Acoustical Techniques for the Measurement of Mechanical Properties by :

Download or read book Modern Acoustical Techniques for the Measurement of Mechanical Properties written by and published by Elsevier. This book was released on 2001-10-16 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an overview of modern acoustical techniques for the measurement of mechanical properties. Chapters include Fundamentals of Elastic Constants; Point Source/Point Receiver Methods; Laser Controlled Surface Acoustic Waves; Quantitative Acoustical Microscopy of Solids; Resonant Ultrasound Spectroscopy; Elastic Properties and Thermodynamics; Sound Speed as a Thermodynamic Property of Fluids; Noninvasive Determination of Sound Speed in Liquids; Introduction to the Elastic Constants of Gases; and Acoustic Measurement in Gases.

Quantum Communication, Computing, and Measurement 3

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Publisher : Springer Science & Business Media
ISBN 13 : 0306471140
Total Pages : 472 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Quantum Communication, Computing, and Measurement 3 by : Paolo Tombesi

Download or read book Quantum Communication, Computing, and Measurement 3 written by Paolo Tombesi and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions based on the lectures delivered and posters presented at the Fifth International Conference on Quantum Communication, Measurement and Computing (QCM&C-Y2K). This Conference is the fifth of a successful series hosted this time in Italy, was held in Capri, 3-7 July, 2000. The conference was attended by more than 200 participants from all over the world. There was also a high level of participation from graduate students, who greatly benefited from the opportunity to attend world-class conferences. The Conference Hall was hosted in La Residenza Hotel in Capri, where part of p- ticipants where housed, while others where housed in various cozy nearby - tels. All enjoyed the pleasant atmosphere offered by the island of Capri. There were 59 invited lectures given as oral presentations of 30 minutes and 94 poster papers. The major topics covered at the Conference where new experimental and theoretical results in quantum information. They were divided in five parts; i) Quantum Information and Communication, ii) Quantum Measurement, - coherence, and Tomography, iii) Quantum Computing, iv) Cryptography, v) Entanglement and Teleportation. We were lucky in that almost all major - perimental groups in the world working in this area were represented, as were the major theoreticians. There was very active audience participation. A n- ber of graduate students and post-docs were able to present their contributions in four after dinner poster sessions.