The Problem Of Moments

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The Moment Problem

Author : Konrad Schmüdgen
Publisher : Springer
ISBN 13 : 3319645463
Total Pages : 512 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Moment Problem by : Konrad Schmüdgen

Download or read book The Moment Problem written by Konrad Schmüdgen and published by Springer. This book was released on 2017-11-09 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments. In both the one-dimensional and multidimensional cases, the full and truncated moment problems are carefully treated separately. Fundamental concepts, results and methods are developed in detail and accompanied by numerous examples and exercises. Particular attention is given to powerful modern techniques such as real algebraic geometry and Hilbert space operators. A wide range of important aspects are covered, including the Nevanlinna parametrization for indeterminate moment problems, canonical and principal measures for truncated moment problems, the interplay between Positivstellensätze and moment problems on semi-algebraic sets, the fibre theorem, multidimensional determinacy theory, operator-theoretic approaches, and the existence theory and important special topics of multidimensional truncated moment problems. The Moment Problem will be particularly useful to graduate students and researchers working on moment problems, functional analysis, complex analysis, harmonic analysis, real algebraic geometry, polynomial optimization, or systems theory. With notes providing useful background information and exercises of varying difficulty illustrating the theory, this book will also serve as a reference on the subject and can be used for self-study.

The Problem of Moments

Author : James Alexander Shohat
Publisher : American Mathematical Soc.
ISBN 13 : 0821815016
Total Pages : 140 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Problem of Moments by : James Alexander Shohat

Download or read book The Problem of Moments written by James Alexander Shohat and published by American Mathematical Soc.. This book was released on 1943-12-31 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed. The book also contains some results on the trigonometric moment problem and a chapter devoted to approximate quadrature formulas.

Moments, Positive Polynomials and Their Applications

Author : Jean-Bernard Lasserre
Publisher : World Scientific
ISBN 13 : 1848164467
Total Pages : 384 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Moments, Positive Polynomials and Their Applications by : Jean-Bernard Lasserre

Download or read book Moments, Positive Polynomials and Their Applications written by Jean-Bernard Lasserre and published by World Scientific. This book was released on 2010 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The generalized moment problem. 1.1. Formulations. 1.2. Duality theory. 1.3. Computational complexity. 1.4. Summary. 1.5. Exercises. 1.6. Notes and sources -- 2. Positive polynomials. 2.1. Sum of squares representations and semi-definite optimization. 2.2. Nonnegative versus s.o.s. polynomials. 2.3. Representation theorems : univariate case. 2.4. Representation theorems : mutivariate case. 2.5. Polynomials positive on a compact basic semi-algebraic set. 2.6. Polynomials nonnegative on real varieties. 2.7. Representations with sparsity properties. 2.8. Representation of convex polynomials. 2.9. Summary. 2.10. Exercises. 2.11. Notes and sources -- 3. Moments. 3.1. The one-dimensional moment problem. 3.2. The multi-dimensional moment problem. 3.3. The K-moment problem. 3.4. Moment conditions for bounded density. 3.5. Summary. 3.6. Exercises. 3.7. Notes and sources -- 4. Algorithms for moment problems. 4.1. The overall approach. 4.2. Semidefinite relaxations. 4.3. Extraction of solutions. 4.4. Linear relaxations. 4.5. Extensions. 4.6. Exploiting sparsity. 4.7. Summary. 4.8. Exercises. 4.9. Notes and sources. 4.10. Proofs -- 5. Global optimization over polynomials. 5.1. The primal and dual perspectives. 5.2. Unconstrained polynomial optimization. 5.3. Constrained polynomial optimization : semidefinite relaxations. 5.4. Linear programming relaxations. 5.5. Global optimality conditions. 5.6. Convex polynomial programs. 5.7. Discrete optimization. 5.8. Global minimization of a rational function. 5.9. Exploiting symmetry. 5.10. Summary. 5.11. Exercises. 5.12. Notes and sources -- 6. Systems of polynomial equations. 6.1. Introduction. 6.2. Finding a real solution to systems of polynomial equations. 6.3. Finding all complex and/or all real solutions : a unified treatment. 6.4. Summary. 6.5. Exercises. 6.6. Notes and sources -- 7. Applications in probability. 7.1. Upper bounds on measures with moment conditions. 7.2. Measuring basic semi-algebraic sets. 7.3. Measures with given marginals. 7.4. Summary. 7.5. Exercises. 7.6. Notes and sources -- 8. Markov chains applications. 8.1. Bounds on invariant measures. 8.2. Evaluation of ergodic criteria. 8.3. Summary. 8.4. Exercises. 8.5. Notes and sources -- 9. Application in mathematical finance. 9.1. Option pricing with moment information. 9.2. Option pricing with a dynamic model. 9.3. Summary. 9.4. Notes and sources -- 10. Application in control. 10.1. Introduction. 10.2. Weak formulation of optimal control problems. 10.3. Semidefinite relaxations for the OCP. 10.4. Summary. 10.5. Notes and sources -- 11. Convex envelope and representation of convex sets. 11.1. The convex envelope of a rational function. 11.2. Semidefinite representation of convex sets. 11.3. Algebraic certificates of convexity. 11.4. Summary. 11.5. Exercises. 11.6. Notes and sources -- 12. Multivariate integration 12.1. Integration of a rational function. 12.2. Integration of exponentials of polynomials. 12.3. Maximum entropy estimation. 12.4. Summary. 12.5. Exercises. 12.6. Notes and sources -- 13. Min-max problems and Nash equilibria. 13.1. Robust polynomial optimization. 13.2. Minimizing the sup of finitely many rational cunctions. 13.3. Application to Nash equilibria. 13.4. Exercises. 13.5. Notes and sources -- 14. Bounds on linear PDE. 14.1. Linear partial differential equations. 14.2. Notes and sources

The Problem of Moments

Author : James Alexander Shohat
Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Problem of Moments by : James Alexander Shohat

Download or read book The Problem of Moments written by James Alexander Shohat and published by American Mathematical Society(RI). This book was released on 1950 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. This book discusses the initial developments by Stieltjes, Markov, and Chebyshev, and later contributions by Hamburger, Nevanlinna, Hausdorff, and Stone.

Moments of Impact

Author : Chris Ertel
Publisher : Simon and Schuster
ISBN 13 : 1451697694
Total Pages : 272 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis Moments of Impact by : Chris Ertel

Download or read book Moments of Impact written by Chris Ertel and published by Simon and Schuster. This book was released on 2014-02-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moments of Impact is a book on a mission: to eradicate time-sucking, energy-depleting workshops and meetings. In our fast-changing world, organizations have important challenges and opportunities to address—and no time to waste. Moments of Impact delivers the single most useful resource for managers and leaders who need better strategic conversation—now—to shape the future of their organizations. Moments of Impact is an essential guide for ambitious leaders who get assigned the hardest and most vexing strategic issues in their organizations, for entrepreneurs trying to manage board expectations, for social change agents pioneering new business models for community impact, for hopeful educators and healthcare practitioners trying to transform slow-to-change industries, and for enterprising students committed to tackling global challenges. Drawing on decades of combined experience as innovation strategists, Ertel and Solomon articulate the purpose, principles, and practices of well-designed strategic conversations. They weave together a lively and compelling mix of social science theories and research, interviews with more than 100 thought leaders, organization leaders, and practitioners, as well as dozens of anecdotes and practical cases from diverse organizations. The book also includes a sixty-page Starter Kit with diagnostic questions, best practices, tips and suggestions, and recommended readings to enable you to put the ideas to work immediately.

The Power of Moments

Author : Chip Heath
Publisher : Simon and Schuster
ISBN 13 : 1501147765
Total Pages : 320 pages
Book Rating : 4.5/5 (11 download)

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Book Synopsis The Power of Moments by : Chip Heath

Download or read book The Power of Moments written by Chip Heath and published by Simon and Schuster. This book was released on 2017-10-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The New York Times bestselling authors of Switch and Made to Stick explore why certain brief experiences can jolt us and elevate us and change us—and how we can learn to create such extraordinary moments in our life and work. While human lives are endlessly variable, our most memorable positive moments are dominated by four elements: elevation, insight, pride, and connection. If we embrace these elements, we can conjure more moments that matter. What if a teacher could design a lesson that he knew his students would remember twenty years later? What if a manager knew how to create an experience that would delight customers? What if you had a better sense of how to create memories that matter for your children? This book delves into some fascinating mysteries of experience: Why we tend to remember the best or worst moment of an experience, as well as the last moment, and forget the rest. Why “we feel most comfortable when things are certain, but we feel most alive when they’re not.” And why our most cherished memories are clustered into a brief period during our youth. Readers discover how brief experiences can change lives, such as the experiment in which two strangers meet in a room, and forty-five minutes later, they leave as best friends. (What happens in that time?) Or the tale of the world’s youngest female billionaire, who credits her resilience to something her father asked the family at the dinner table. (What was that simple question?) Many of the defining moments in our lives are the result of accident or luck—but why would we leave our most meaningful, memorable moments to chance when we can create them? The Power of Moments shows us how to be the author of richer experiences.

The Problem of Moments

Author : James Alexander Shohat
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (125 download)

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Book Synopsis The Problem of Moments by : James Alexander Shohat

Download or read book The Problem of Moments written by James Alexander Shohat and published by . This book was released on 1943 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Problem of Moments

Author : J. A. Shohat
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Problem of Moments by : J. A. Shohat

Download or read book The Problem of Moments written by J. A. Shohat and published by . This book was released on 1956 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Matrices, Moments and Quadrature with Applications

Author : Gene H. Golub
Publisher : Princeton University Press
ISBN 13 : 1400833884
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Matrices, Moments and Quadrature with Applications by : Gene H. Golub

Download or read book Matrices, Moments and Quadrature with Applications written by Gene H. Golub and published by Princeton University Press. This book was released on 2009-12-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.

The Problem of Moments

Author : James Shohat
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (51 download)

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Book Synopsis The Problem of Moments by : James Shohat

Download or read book The Problem of Moments written by James Shohat and published by . This book was released on 1950 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Problem of Moments

Author : James Alexander Shohat
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis The Problem of Moments by : James Alexander Shohat

Download or read book The Problem of Moments written by James Alexander Shohat and published by . This book was released on 1960 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic Theory of Continued Fractions

Author : Hubert Stanley Wall
Publisher : Courier Dover Publications
ISBN 13 : 0486823695
Total Pages : 449 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Analytic Theory of Continued Fractions by : Hubert Stanley Wall

Download or read book Analytic Theory of Continued Fractions written by Hubert Stanley Wall and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most authoritative and comprehensive books on continued fractions, this monograph presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. 1948 edition.

Moments of Magic

Author : Shep Hyken
Publisher : Shepard Presentations, LLC
ISBN 13 : 0963782002
Total Pages : 80 pages
Book Rating : 4.9/5 (637 download)

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Book Synopsis Moments of Magic by : Shep Hyken

Download or read book Moments of Magic written by Shep Hyken and published by Shepard Presentations, LLC. This book was released on 1993 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Great Moments in Mathematics: After 1650

Author : Howard Eves
Publisher : American Mathematical Soc.
ISBN 13 : 0883853116
Total Pages : 263 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Great Moments in Mathematics: After 1650 by : Howard Eves

Download or read book Great Moments in Mathematics: After 1650 written by Howard Eves and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: What a splendid addition this is to the Dolciani Mathematical Exposition series! This second set of lectures on great moments in mathematics (after 1650) is a fascinating collection of pivotal points in the historical development of mathematics...The four lectures devoted to the liberation of geometry and algebra are of particular interest. The lectures should be required reading for all teachers of mathematics. —Herbert Fremont, The Mathematics Teacher Eves is never less than tantalizing and usually inspiring...each 'great moment' has detailed exercises following it, as these have been carefully chosen to illustrate the depth of the ideas in question. —C. W. Kilmister, The London Times, Higher Education Supplement As is usual with Eves' work, the books are well written and entertaining. They give an historical background to many of the best known mathematical results, and, in addition, provide interesting pieces of information about the mathematicians involved. Eves includes relevant exercises at the end of each chapter. These are a good source of different, interesting problems, and when combined with the material in the chapter, could form the basis for a mathematical project...Eves' book provides an interesting, well-written, and enjoyable account. You won't be disappointed. —David Parrott, The Australian Mathematics Teacher

Moments of Being

Author : Virginia Woolf
Publisher : Houghton Mifflin Harcourt
ISBN 13 : 9780156619189
Total Pages : 236 pages
Book Rating : 4.6/5 (191 download)

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Book Synopsis Moments of Being by : Virginia Woolf

Download or read book Moments of Being written by Virginia Woolf and published by Houghton Mifflin Harcourt. This book was released on 1985 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published years after her death, Moments of Being is Virginia Woolf's only autobiographical writing, considered by many to be her most important book. A collection of five memoir pieces written for different audiences spanning almost four decades, Moments of Being reveals the remarkable unity of Virginia Woolf's art, thought, and sensibility. "Reminiscences," written during her apprenticeship period, exposes the childhood shared by Woolf and her sister, Vanessa, while "A sketch of the Past" illuminates the relationship with her father, Leslie Stephens, who played a crucial role in her development as an individual a writer. Of the final three pieces, composed for the Memoir Club, which required absolute candor of its members, two show Woolf at the threshold of artistic maturity and one shows a confident writer poking fun at her own foibles.

The Moment of Clarity

Author : Christian Madsbjerg
Publisher : Harvard Business Review Press
ISBN 13 : 1422191907
Total Pages : 224 pages
Book Rating : 4.4/5 (221 download)

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Book Synopsis The Moment of Clarity by : Christian Madsbjerg

Download or read book The Moment of Clarity written by Christian Madsbjerg and published by Harvard Business Review Press. This book was released on 2014-02-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Businesses need a new type of problem solving. Why? Because they are getting people wrong. Traditional problem-solving methods taught in business schools serve us well for some of the everyday challenges of business, but they tend to be ineffective with problems involving a high degree of uncertainty. Why? Because, more often than not, these tools are based on a flawed model of human behavior. And that flawed model is the invisible scaffolding that supports our surveys, our focus groups, our R&D, and much of our long-term strategic planning. In The Moment of Clarity, Christian Madsbjerg and Mikkel Rasmussen examine the business world’s assumptions about human behavior and show how these assumptions can lead businesses off track. But the authors chart a way forward. Using theories and tools from the human sciences—anthropology, sociology, philosophy, and psychology—The Moment of Clarity introduces a practical framework called sensemaking. Sensemaking’s nonlinear problem-solving approach gives executives a better way to understand business challenges involving shifts in human behavior. This new methodology, a fundamentally different way to think about strategy, is already taking off in Fortune 100 companies around the world. Through compelling case studies and their direct experience with LEGO, Samsung, Adidas, Coloplast, and Intel, Madsbjerg and Rasmussen will show you how to solve problems as diverse as setting company direction, driving growth, improving sales models, understanding the real culture of your organization, and finding your way in new markets. Over and over again, executives say the same thing after engaging in a process of sensemaking: “Now I see it . . .” This experience—the moment of clarity—has the potential to drive the entire strategic future of your company. Isn’t it time you and your firm started getting people right? Learn more about the innovation and strategy work of ReD Associates at: redassociates.com

Magnetostatic Modelling of Thin Layers Using the Method of Moments And Its Implementation in OCTAVE/MATLAB

Author : Roman Szewczyk
Publisher : Springer
ISBN 13 : 3319779850
Total Pages : 108 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Magnetostatic Modelling of Thin Layers Using the Method of Moments And Its Implementation in OCTAVE/MATLAB by : Roman Szewczyk

Download or read book Magnetostatic Modelling of Thin Layers Using the Method of Moments And Its Implementation in OCTAVE/MATLAB written by Roman Szewczyk and published by Springer. This book was released on 2018-04-10 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an efficient and robust method of modelling the magnetostatic properties of different technical elements, especially thin layers for magnetic sensors. The solutions presented utilise the principles of the method of moments. However, the principles have been developed both from the point of view of physical analyses as well as from the point of view of numerical optimisation. To enable cost-efficient use of the solutions for commercial applications in industry, the proposed method was implemented as a code optimised for use in the open-source OCTAVE environment. The scripts can be also used with MATLAB software, which is more user friendly, especially for less experienced users.