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Random Projection Method

Random Projection Method

Santosh S. Vempala

AMERICAN MATHEMATICAL SOCIETY
2005
pokkari
Random projection is a simple geometric technique for reducing the dimensionality of a set of points in Euclidean space while preserving pairwise distances approximately. This book begins with an elementary description of the technique and its basic properties. It then develops the method in the context of applications.
Random Walk and the Heat Equation

Random Walk and the Heat Equation

Gregory F. Lawler

American Mathematical Society
2010
nidottu
The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation by considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equation and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. The first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.
Random Harvest

Random Harvest

James T. Flexner

Fordham University Press
1998
sidottu
James Thomas Flexner has been a professional writer for most of his adult life. After several years spent at the City desk at the New York Herald Tribune after graduating from Harvard University, Flexner went on to become one of America's foremost historians. He has written with great distinction in a unique style accessible to and enjoyed by the scholar and general reader, twenty-six books in the fields of American history and art. Although he is principally known for his kistorical books, notably his four-volume biography of George Washington, Flexner has written in many forms and for many outlets. He has written for print and television; he has been a lecturer, columnist, reviewer, andeven a fiction writer. Collected here are samplings of Flexner's literary accomplishments throughout his long career (spanning over 60 years). In Random Harvest you will find pieces that appeared in Esquire Magaine, Time, The New York Times, Travel and Leisure, and even TV Guide. Included is an essay on George Washington and Watergate, on the art of biography, and many more. For the fan of Flexner, American history, and the art of a writer, in Random Harvest there is something to be enjoyed for everyone.
Random Harvest

Random Harvest

James T. Flexner

Fordham University Press
1998
pokkari
James Thomas Flexner has been a professional writer for most of his adult life. After several years spent at the City desk at the New York Herald Tribune after graduating from Harvard University, Flexner went on to become one of America's foremost historians. He has written with great distinction in a unique style accessible to and enjoyed by the scholar and general reader, twenty-six books in the fields of American history and art. Although he is principally known for his kistorical books, notably his four-volume biography of George Washington, Flexner has written in many forms and for many outlets. He has written for print and television; he has been a lecturer, columnist, reviewer, andeven a fiction writer. Collected here are samplings of Flexner's literary accomplishments throughout his long career (spanning over 60 years). In Random Harvest you will find pieces that appeared in Esquire Magaine, Time, The New York Times, Travel and Leisure, and even TV Guide. Included is an essay on George Washington and Watergate, on the art of biography, and many more. For the fan of Flexner, American history, and the art of a writer, in Random Harvest there is something to be enjoyed for everyone.
Random Testing of Digital Circuits

Random Testing of Digital Circuits

Rene David

CRC Press Inc
1998
sidottu
"Introduces a theory of random testing in digital circuits for the first time and offers practical guidance for the implementation of random pattern generators, signature analyzers design for random testability, and testing results. Contains several new and unpublished results. "
Random Processes

Random Processes

Syski

CRC Press Inc
1988
sidottu
This book develops appreciation of the ingenuity involved in the mathematical treatment of random phenomena, and of the power of the mathematical methods employed in the solution of applied problems. It is intended to students interested in applications of probability to their disciplines.
Random Summation

Random Summation

Boris V. Gnedenko; Victor Yu. Korolev

CRC Press Inc
1996
sidottu
This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop. Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.
Random Signals and Noise

Random Signals and Noise

Shlomo Engelberg

CRC Press Inc
2006
sidottu
Understanding the nature of random signals and noise is critically important for detecting signals and for reducing and minimizing the effects of noise in applications such as communications and control systems. Outlining a variety of techniques and explaining when and how to use them, Random Signals and Noise: A Mathematical Introduction focuses on applications and practical problem solving rather than probability theory. A Firm Foundation Before launching into the particulars of random signals and noise, the author outlines the elements of probability that are used throughout the book and includes an appendix on the relevant aspects of linear algebra. He offers a careful treatment of Lagrange multipliers and the Fourier transform, as well as the basics of stochastic processes, estimation, matched filtering, the Wiener-Khinchin theorem and its applications, the Schottky and Nyquist formulas, and physical sources of noise. Practical Tools for Modern Problems Along with these traditional topics, the book includes a chapter devoted to spread spectrum techniques. It also demonstrates the use of MATLAB® for solving complicated problems in a short amount of time while still building a sound knowledge of the underlying principles. A self-contained primer for solving real problems, Random Signals and Noise presents a complete set of tools and offers guidance on their effective application.
Random Illuminations

Random Illuminations

Eleanor Wachtel

Goose Lane Editions
2007
pokkari
A great conversation can offer insight into the hearts and minds of its participants. In this intimate, wide-ranging collection of conversations (and some correspondence), writer-broadcaster Eleanor Wachtel and her friend, author Carol Shields, touch on both the personal and the professional. Eleanor Wachtel first met Carol Shields in 1980; her first interview with Carol occurred in 1987, following the publication of Swann: A Mystery. They soon became friends, embarking on a correspondence and conversations that would last her almost two decades. In this illuminating book, Eleanor Wachtel brings together her rich collection of interviews with Carol from that first occasion to Shields's death in 2003. Disarmingly direct, Carol Shields talks about her writing, language and consciousness, and her interest in "redeeming the lives of lost or vanished women," all the while touching on topics as diverse as feminism, raising children, the metaphorical search for a home, and the joys and griefs of everyday life. Carol Shields is best known for her Pulitzer Prize-winning novel, The Stone Diaries. She also won the Governor General's Award for fiction, the National Book Critics Circle Award, the Charles Taylor Prize for Literary Non-fiction, the Orange Prize, and numerous other awards. She was twice shortlisted for the Booker Prize.
Random Number Generation and Quasi-Monte Carlo Methods

Random Number Generation and Quasi-Monte Carlo Methods

Harald Niederreiter

Society for Industrial Applied Mathematics,U.S.
1992
pokkari
Winner of the INFORMS 1995 Outstanding Simulation Publication Award Tremendous progress has taken place in the related areas of uniform pseudorandom number generation and quasi-Monte Carlo methods in the last five years. This volume contains recent important work in these two areas, and stresses the interplay between them. Some developments contained here have never before appeared in book form. Includes the discussion of the integrated treatment of pseudorandom numbers and quasi-Monte Carlo methods; the systematic development of the theory of lattice rules and the theory of nets and (t,s)-sequences; the construction of new and better low-discrepancy point sets and sequences; Nonlinear congruential methods; the initiation of a systematic study of methods for pseudorandom vector generation; and shift-register pseudorandom numbers. Based on a series of 10 lectures presented by the author at a CBMS-NSF Regional Conference at the University of Alaska at Fairbanks in 1990 to a selected group of researchers, this volume includes background material to make the information more accessible to nonspecialists.
Random Symmetries

Random Symmetries

Tom Andrews

Oberlin College Press
2002
nidottu
This posthumous volume brings together the poems of Tom Andrews, whose untimely death in 2001 cut off a career marked by early achievement and remarkable innovation. It comprises two previously published books, The Brother's Country and The Hemophiliac's Motorcycle, and two unpublished manuscript, closing with two late uncollected poems.
Random Thoughts ---- for Your Journey

Random Thoughts ---- for Your Journey

Mgdesignsbds Jobity-Gajadhar

978-0-9570040
2018
nidottu
"The journey of a thousand miles begins with a single step" (Lao Tzu). Most of us will journey through difficult and troubling times in our lives. We may face breakdowns in relationships, challenges with illness and loss of loved ones, financial upheavals, job losses, loss of hope, faith, and confidence. 'Random Thoughts for Your Journey' is a gift book of thoughts and sayings that could help you weather the storms of life It is not a quick fix, cure for all but it makes bad times seem better, and more manageable.
Random Thoughts

Random Thoughts

Cliff Woffenden

Howling Moon Productions
2022
pokkari
Life has a way of presenting people and events into our lives that inspire and confound us at times. Our perceptions and opinions are in constant flux, influenced by our environment and circumstances. Random Thoughts is a collection of short essays gathered over the past decade or so, inspired by conversations with many people on social media and forums. They cover many subjects and philosophies. MY hope is that they will cause you to question what has been fed to you by media and the status quo of society.
Random Thoughts from the Road

Random Thoughts from the Road

Robert Louis Demayo

Wayward Publishing
2011
nidottu
This collection of poetry, prose and journal excerpts was composed during a fifteen year period that I was mostly nomadic. I traveledat least six months a year, each year, and preferred overland journeys (at the end of this collection is my travel bio).I've left the writings in their original state, in the hopes that theywill convey the feelings of the time better not cleaned up.Thanks for taking the time, and sharing the road with me.Sincerely yours, Robert DeMayo