The Discrepancy Method
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The Discrepancy Method
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Author : Bernard Chazelle
language : en
Publisher: Cambridge University Press
Release Date : 2000
The Discrepancy Method written by Bernard Chazelle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
The discrepancy method is the glue that binds randomness and complexity. It is the bridge between randomized computation and discrepancy theory, the area of mathematics concerned with irregularities in distributions. The discrepancy method has played a major role in complexity theory; in particular, it has caused a mini-revolution of sorts in computational geometry. This book tells the story of the discrepancy method in a few short independent vignettes. It is a varied tale which includes such topics as communication complexity, pseudo-randomness, rapidly mixing Markov chains, points on the sphere and modular forms, derandomization, convex hulls, Voronoi diagrams, linear programming and extensions, geometric sampling, VC-dimension theory, minimum spanning trees, linear circuit complexity, and multidimensional searching. The mathematical treatment is thorough and self-contained. In particular, background material in discrepancy theory is supplied as needed. Thus the book should appeal to students and researchers in computer science, operations research, pure and applied mathematics, and engineering.
Geometric Discrepancy
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Author : Jiri Matousek
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-02
Geometric Discrepancy written by Jiri Matousek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-02 with Mathematics categories.
Discrepancy theory is also called the theory of irregularities of distribution. Here are some typical questions: What is the "most uniform" way of dis tributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? For a precise formulation of these questions, we must quantify the irregularity of a given distribution, and discrepancy is a numerical parameter of a point set serving this purpose. Such questions were first tackled in the thirties, with a motivation com ing from number theory. A more or less satisfactory solution of the basic discrepancy problem in the plane was completed in the late sixties, and the analogous higher-dimensional problem is far from solved even today. In the meantime, discrepancy theory blossomed into a field of remarkable breadth and diversity. There are subfields closely connected to the original number theoretic roots of discrepancy theory, areas related to Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in clude financial calculations, computer graphics, and computational physics, just to name a few. This book is an introductory textbook on discrepancy theory. It should be accessible to early graduate students of mathematics or theoretical computer science. At the same time, about half of the book consists of material that up until now was only available in original research papers or in various surveys.
The Sage Encyclopedia Of Educational Research Measurement And Evaluation
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Author : Bruce B. Frey
language : en
Publisher: SAGE Publications
Release Date : 2018-01-29
The Sage Encyclopedia Of Educational Research Measurement And Evaluation written by Bruce B. Frey and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-29 with Education categories.
In an era of curricular changes and experiments and high-stakes testing, educational measurement and evaluation is more important than ever. In addition to expected entries covering the basics of traditional theories and methods, other entries discuss important sociopolitical issues and trends influencing the future of that research and practice. Textbooks, handbooks, monographs and other publications focus on various aspects of educational research, measurement and evaluation, but to date, there exists no major reference guide for students new to the field. This comprehensive work fills that gap, covering traditional areas while pointing the way to future developments. Features: Nearly 700 signed entries are contained in an authoritative work spanning four volumes and available in choice of electronic and/or print formats. Although organized A-to-Z, front matter includes a Reader’s Guide grouping entries thematically to help students interested in a specific aspect of education research, measurement, and evaluation to more easily locate directly related entries. (For instance, sample themes include Data, Evaluation, Measurement Concepts & Issues, Research, Sociopolitical Issues, Standards.) Back matter includes a Chronology of the development of the field; a Resource Guide to classic books, journals, and associations; and a detailed Index. Entries conclude with References/Further Readings and Cross References to related entries. The Index, Reader’s Guide themes, and Cross References will combine to provide robust search-and-browse in the e-version.
Numerical Methods For The Solution Of Ill Posed Problems
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Author : A.N. Tikhonov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Numerical Methods For The Solution Of Ill Posed Problems written by A.N. Tikhonov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.
Discrepancy Theory
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Author : Dmitriy Bilyk
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-01-20
Discrepancy Theory written by Dmitriy Bilyk and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Mathematics categories.
The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.
Learning Disabilities Screening And Evaluation Guide For Low And Middle Income Countries
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Author : Anne Hayes
language : en
Publisher:
Release Date : 2018
Learning Disabilities Screening And Evaluation Guide For Low And Middle Income Countries written by Anne Hayes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Learning disabilities categories.
Learning disabilities are among the most common disabilities experienced in childhood and adulthood. Although identifying learning disabilities in a school setting is a complex process, it is particularly challenging in low- and middle-income countries that lack the appropriate resources, tools, and supports. This guide provides an introduction to learning disabilities and describes the processes and practices that are necessary for the identification process. It also describes a phased approach that countries can use to assess their current screening and evaluation services, as well as determine the steps needed to develop, strengthen, and build systems that support students with learning disabilities. This guide also provides intervention recommendations that teachers and school administrators can implement at each phase of system development. Although this guide primarily addresses learning disabilities, the practices, processes, and systems described may be also used to improve the identification of other disabilities commonly encountered in schools.
Nonparametric Statistics
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Author : Ricardo Cao
language : en
Publisher: Springer
Release Date : 2016-09-12
Nonparametric Statistics written by Ricardo Cao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-12 with Mathematics categories.
This volume collects selected, peer-reviewed contributions from the 2nd Conference of the International Society for Nonparametric Statistics (ISNPS), held in Cádiz (Spain) between June 11–16 2014, and sponsored by the American Statistical Association, the Institute of Mathematical Statistics, the Bernoulli Society for Mathematical Statistics and Probability, the Journal of Nonparametric Statistics and Universidad Carlos III de Madrid. The 15 articles are a representative sample of the 336 contributed papers presented at the conference. They cover topics such as high-dimensional data modelling, inference for stochastic processes and for dependent data, nonparametric and goodness-of-fit testing, nonparametric curve estimation, object-oriented data analysis, and semiparametric inference. The aim of the ISNPS 2014 conference was to bring together recent advances and trends in several areas of nonparametric statistics in order to facilitate the exchange of research ideas, promote collaboration among researchers from around the globe, and contribute to the further development of the field.
Handbook Of Response To Intervention
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Author : Shane R. Jimerson
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-14
Handbook Of Response To Intervention written by Shane R. Jimerson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-14 with Psychology categories.
Until now, practitioners have had access to few detailed descriptions of RTI methods and the effective role they can play in special education. The Handbook of Response to Intervention fills this critical information gap. In this comprehensive volume, more than 90 expert scholars and practitioners provide a guide to the essentials of RTI assessment and identification as well as research-based interventions for improving students’ reading, writing, oral, and math skills.
Nonparametric Analysis Of Univariate Heavy Tailed Data
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Author : Natalia Markovich
language : en
Publisher: John Wiley & Sons
Release Date : 2008-03-11
Nonparametric Analysis Of Univariate Heavy Tailed Data written by Natalia Markovich and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-11 with Mathematics categories.
Heavy-tailed distributions are typical for phenomena in complex multi-component systems such as biometry, economics, ecological systems, sociology, web access statistics, internet traffic, biblio-metrics, finance and business. The analysis of such distributions requires special methods of estimation due to their specific features. These are not only the slow decay to zero of the tail, but also the violation of Cramer’s condition, possible non-existence of some moments, and sparse observations in the tail of the distribution. The book focuses on the methods of statistical analysis of heavy-tailed independent identically distributed random variables by empirical samples of moderate sizes. It provides a detailed survey of classical results and recent developments in the theory of nonparametric estimation of the probability density function, the tail index, the hazard rate and the renewal function. Both asymptotical results, for example convergence rates of the estimates, and results for the samples of moderate sizes supported by Monte-Carlo investigation, are considered. The text is illustrated by the application of the considered methodologies to real data of web traffic measurements.
Rti In Practice
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Author : James L. McDougal
language : en
Publisher: John Wiley & Sons
Release Date : 2010-01-07
Rti In Practice written by James L. McDougal and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-07 with Psychology categories.
A must-have resource for educational professionals implementing Response to Intervention (RTI) programs in their schools RTI in Practice: A Practical Guide to Implementing Effective Evidence-Based Interventions in Your School is an innovative and timely guide that presents concrete, balanced perspectives and directions for implementing an effective RTI model in your school. Built upon the three tiers of effective general education and universal screening, targeted interventions, and intensive interventions, this authoritative resource addresses: Effective academic programs for all students How to use data to make decisions in general education Guidelines for setting goals, monitoring progress, and graphing intervention outcomes Multicultural considerations Realistic case scenarios appear throughout to bring the implementation strategies to life, and the book is packaged with a CD-ROM containing numerous reproducible and customizable forms, surveys, and screening tools, as well as an annotated list of resources for charting and monitoring individual student and classroom progress. RTI in Practice: A Practical Guide to Implementing Effective Evidence-Based Interventions in Your School is a complete resource providing educators and school professionals with the tips¿and tools needed for successful RTI program implementation.