Author: Thomas Rappé HoustonPublisher:
ISBN:
Category : Magic squares
Languages : en
Pages : 94
Book Description
On the Construction of Latin Squares Counterbalanced for Immediate Sequential Effects
Author: Thomas Rappé HoustonPublisher:
ISBN:
Category : Magic squares
Languages : en
Pages : 94
Book Description
Latin Squares and Their Applications
Author: A. Donald KeedwellPublisher: Elsevier
ISBN: 0444635580
Category : Mathematics
Languages : en
Pages : 443
Book Description
Latin Squares and Their Applications, Second edition offers a long-awaited update and reissue of this seminal account of the subject. The revision retains foundational, original material from the frequently-cited 1974 volume but is completely updated throughout. As with the earlier version, the author hopes to take the reader ‘from the beginnings of the subject to the frontiers of research’. By omitting a few topics which are no longer of current interest, the book expands upon active and emerging areas. Also, the present state of knowledge regarding the 73 then-unsolved problems given at the end of the first edition is discussed and commented upon. In addition, a number of new unsolved problems are proposed. Using an engaging narrative style, this book provides thorough coverage of most parts of the subject, one of the oldest of all discrete mathematical structures and still one of the most relevant. However, in consequence of the huge expansion of the subject in the past 40 years, some topics have had to be omitted in order to keep the book of a reasonable length. Latin squares, or sets of mutually orthogonal latin squares (MOLS), encode the incidence structure of finite geometries; they prescribe the order in which to apply the different treatments in designing an experiment in order to permit effective statistical analysis of the results; they produce optimal density error-correcting codes; they encapsulate the structure of finite groups and of more general algebraic objects known as quasigroups. As regards more recreational aspects of the subject, latin squares provide the most effective and efficient designs for many kinds of games tournaments and they are the templates for Sudoku puzzles. Also, they provide a number of ways of constructing magic squares, both simple magic squares and also ones with additional properties. Retains the organization and updated foundational material from the original edition Explores current and emerging research topics Includes the original 73 ‘Unsolved Problems’ with the current state of knowledge regarding them, as well as new Unsolved Problems for further study
Latin Squares
Author: József DénesPublisher: Elsevier
ISBN: 9780080867861
Category : Mathematics
Languages : en
Pages : 452
Book Description
In 1974 the editors of the present volume published a well-received book entitled ``Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved. The present work comprises six contributed chapters and also six further chapters written by the editors themselves. As well as discussing the advances which have been made in the subject matter of most of the chapters of the earlier book, this new book contains one chapter which deals with a subject (r-orthogonal latin squares) which did not exist when the earlier book was written. The success of the former book is shown by the two or three hundred published papers which deal with questions raised by it.
Resources in Education
Author: Research in Education
Author: Handbook of Design and Analysis of Experiments
Author: Angela DeanPublisher: CRC Press
ISBN: 146650434X
Category : Mathematics
Languages : en
Pages : 946
Book Description
This carefully edited collection synthesizes the state of the art in the theory and applications of designed experiments and their analyses. It provides a detailed overview of the tools required for the optimal design of experiments and their analyses. The handbook covers many recent advances in the field, including designs for nonlinear models and algorithms applicable to a wide variety of design problems. It also explores the extensive use of experimental designs in marketing, the pharmaceutical industry, engineering and other areas.
NBS Special Publication
Author: Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 574
Book Description
An Author and Permuted Title Index to Selected Statistical Journals
Author: Brian L. JoinerPublisher:
ISBN:
Category : Annals of mathematical statistics
Languages : en
Pages : 512
Book Description
All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
Comparable Common Factors in English Homophone Recognition
Author: Thomas Rappe HoustonPublisher:
ISBN:
Category : English language
Languages : en
Pages : 366
Book Description
Technical Report
Author: Wisconsin Research and Development Center for Cognitive LearningPublisher:
ISBN:
Category : Learning ability
Languages : en
Pages : 574
Book Description