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Book Latin Squares and Their Applications

Download or read book Latin Squares and Their Applications written by A. Donald Keedwell and published by Elsevier. This book was released on 2015-07-28 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Book Latin Squares

    Book Details:
  • Author : József Dénes
  • Publisher : Elsevier
  • Release : 1991-01-24
  • ISBN : 0080867863
  • Pages : 469 pages

Download or read book Latin Squares written by József Dénes and published by Elsevier. This book was released on 1991-01-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Research in Education

Download or read book Research in Education written by and published by . This book was released on 1968 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book NBS Special Publication

Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Handbook of Design and Analysis of Experiments

Download or read book Handbook of Design and Analysis of Experiments written by Angela Dean and published by CRC Press. This book was released on 2015-06-26 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Resources in Education

Download or read book Resources in Education written by and published by . This book was released on 1968 with total page 1752 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book An Author and Permuted Title Index to Selected Statistical Journals

Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Technical Report

    Book Details:
  • Author : Wisconsin Research and Development Center for Cognitive Learning
  • Publisher :
  • Release : 1967
  • ISBN :
  • Pages : 574 pages

Download or read book Technical Report written by Wisconsin Research and Development Center for Cognitive Learning and published by . This book was released on 1967 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Annals of Mathematical Statistics

Download or read book The Annals of Mathematical Statistics written by and published by . This book was released on 1966 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Ars Combinatoria

Download or read book Ars Combinatoria written by and published by . This book was released on 1988 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On the Theory of the Existence  Non existence  and the Construction of Mutually Orthogonal F squares and Latin Squares

Download or read book On the Theory of the Existence Non existence and the Construction of Mutually Orthogonal F squares and Latin Squares written by Abdossamad Hedayat and published by . This book was released on 1969 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Some Aspects Of Latin Squares And Their Applications

Download or read book Some Aspects Of Latin Squares And Their Applications written by N. Naga Syamala and published by LAP Lambert Academic Publishing. This book was released on 2014-01 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Present book Chapter - I is an introductory one. It contains the general introduction and statement of the problem of Latin squares. Chapter - II presents the Latin square theory along with the construction of different types of Latin squares. It also gives the description about the layout, analysis and various problems of Latin square design. Chapter - III describes the concept, construction and important application of orthogonal Latin squares. It contains the use of Galois filed in the construction of mutual orthogonal Latin squares. Chapter - IV depicts the various applications of Latin squares in the analysis of design of experiments. It gives the applications of Latin squares, in particular, orthogonal Latin squares in the construction of incomplete block designs such as BIBD, PBIBD., and Latin design. Chapter - V gives the conclusions .study. Some selected references are listed under title 'BIBLIOGRAPHY'.

Book Comparable Common Factors in English Homophone Recognition

Download or read book Comparable Common Factors in English Homophone Recognition written by Thomas Rappe Houston and published by . This book was released on 1971 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Publications of the Wisconsin Research and Development Center for Cognitive Learning  Richard A  Rossmiller  Director

Download or read book Publications of the Wisconsin Research and Development Center for Cognitive Learning Richard A Rossmiller Director written by Wisconsin Research and Development Center for Cognitive Learning and published by . This book was released on 1973 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: