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 160 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.

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.

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

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.

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:

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.

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.

Download or read book Great Moments in Mathematics Before 1650 written by Howard Eves and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Great Moments in Mathematics: Before 1650 is the product of a series of lectures on the history of mathematics given by Howard Eves. He presents here, in chronological order, 20 ``great moments in mathematics before 1650'', which can be appreciated by anyone who enjoys mathematics. These wonderful lectures could be used as the basis of a course on the history of mathematics but can also serve as enrichment to any mathematics course. Included are lectures on the Pythagorean Theorem, Euclid's Elements, Archimedes (on the sphere), Diophantus, Omar Khayyam, and Fibonacci.

Download or read book The Problem of Moments written by J. A. Shohat and published by . This book was released on 1970 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

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.

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:

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.

Download or read book The Eureka Factor written by John Kounios and published by Random House. This book was released on 2015-04-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a book perfect for readers of Charles Duhigg’s The Power of Habit, David Eagleman’s Incognito, and Leonard Mlodinow’s Subliminal, the cognitive neuroscientists who discovered how the brain has aha moments—sudden creative insights—explain how they happen, when we need them, and how we can have more of them to enrich our lives and empower personal and professional success. Eureka or aha moments are sudden realizations that expand our understanding of the world and ourselves, conferring both personal growth and practical advantage. Such creative insights, as psychological scientists call them, were what conveyed an important discovery in the science of genetics to Nobel laureate Barbara McClintock, the melody of a Beatles ballad to Paul McCartney, and an understanding of the cause of human suffering to the Buddha. But these moments of clarity are not given only to the famous. Anyone can have them. In The Eureka Factor, John Kounios and Mark Beeman explain how insights arise and what the scientific research says about stimulating more of them. They discuss how various conditions affect the likelihood of your having an insight, when insight is helpful and when deliberate methodical thought is better suited to a task, what the relationship is between insight and intuition, and how the brain’s right hemisphere contributes to creative thought. Written in a lively, engaging style, this book goes beyond scientific principles to offer productive techniques for realizing your creative potential—at home and at work. The authors provide compelling anecdotes to illustrate how eureka experiences can be a key factor in your life. Attend a dinner party with Christopher Columbus to learn why we need insights. Go to a baseball game with the director of a classic Disney Pixar movie to learn about one important type of aha moment. Observe the behind-the-scenes arrangements for an Elvis Presley concert to learn why the timing of insights is crucial. Accessible and compelling, The Eureka Factor is a fascinating look at the human brain and its seemingly infinite capacity to surprise us. Praise for The Eureka Factor “Delicious . . . In The Eureka Factor, neuroscientists John Kounios and Mark Beeman give many other examples of [a] kind of lightning bolt of insight, but back this up with the latest brain-imaging research.”—Newsweek “An incredible accomplishment . . . [The Eureka Factor] is not just a chronicle of the journey that numerous scientists (including the authors) have taken to examine insight but is also a fascinating guide to how advances in science are made in general. Messrs. Kounios and Beeman examine how a parade of clever experiments can be designed to answer specific questions and rule out alternative possibilities. . . . Wonderful ideas appear as if out of nowhere—and we are delighted.”—The Wall Street Journal “An excellent title for those interested in neuroscience or creativity . . . The writing is engaging and readable, mixing stories of famous perceptions with explanations of how such revelations happen.”—Library Journal (starred review) “A lively and accessible ‘brain’ book with wide appeal.”—Booklist “[An] ingenious, thoughtful update on how the mind works.”—Kirkus Reviews “The Eureka Factor presents a fascinating and illuminating account of the creative process and how to foster it.”—James J. Heckman, Nobel laureate in economics

Download or read book Real Moments written by Barbara De Angelis and published by Dell. This book was released on 2013-01-09 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many of us, the experiences that we grew up taking for granted leave become distant dreams in our adult lives: marriages that last a lifetime; safe neighborhoods to call home; the certainty that our children will have a better life than we did; and most of all, lots of time to spend as we wish, living for the moment. Instead, we find our time and energy spent recovering from the past or protecting ourselves from the future. The result is a desperate, sometimes dangerous, and often unsuccessful, search for meaning in our lives. In Real Moments, Barbara De Angelis defines happiness not as an acquisition, but as a skill--the skill of capturing every moment and living it completely. With insight, wisdom, and vision, she teaches us how to rediscover real moments with our mates and our children, with our work and our play, in sex and intimacy, and real moments with ourselves. It is an examination of our relationship with the process of living itself, offering inspiration as well as practical tools for creating more of one of the most precious moments of all--moments of true meaning in our lives.

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.

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: