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Latin Squares and Their Applications

Latin Squares and Their Applications PDF Author: A. Donald Keedwell
Publisher: 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 and Their Applications

Latin Squares and Their Applications PDF Author: A. Donald Keedwell
Publisher: 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

History of the Persian Empire

History of the Persian Empire PDF Author: A. T. Olmstead
Publisher: University of Chicago Press
ISBN: 0226826333
Category : History
Languages : en
Pages : 671

Book Description
Out of a lifetime of study of the ancient Near East, Professor Olmstead has gathered previously unknown material into the story of the life, times, and thought of the Persians, told for the first time from the Persian rather than the traditional Greek point of view. "The fullest and most reliable presentation of the history of the Persian Empire in existence."—M. Rostovtzeff

Exhaustion

Exhaustion PDF Author: Anna K. Schaffner
Publisher: Columbia University Press
ISBN: 0231538855
Category : Psychology
Languages : en
Pages : 304

Book Description
Today our fatigue feels chronic; our anxieties, amplified. Proliferating technologies command our attention. Many people complain of burnout, and economic instability and the threat of ecological catastrophe fill us with dread. We look to the past, imagining life to have once been simpler and slower, but extreme mental and physical stress is not a modern syndrome. Beginning in classical antiquity, this book demonstrates how exhaustion has always been with us and helps us evaluate more critically the narratives we tell ourselves about the phenomenon. Medical, cultural, literary, and biographical sources have cast exhaustion as a biochemical imbalance, a somatic ailment, a viral disease, and a spiritual failing. It has been linked to loss, the alignment of the planets, a perverse desire for death, and social and economic disruption. Pathologized, demonized, sexualized, and even weaponized, exhaustion unites the mind with the body and society in such a way that we attach larger questions of agency, willpower, and well-being to its symptoms. Mapping these political, ideological, and creative currents across centuries of human development, Exhaustion finds in our struggle to overcome weariness a more significant effort to master ourselves.

Commentaries on the Four Last Books of Moses, Arranged in the Form of a Harmony

Commentaries on the Four Last Books of Moses, Arranged in the Form of a Harmony PDF Author: Jean Calvin
Publisher:
ISBN:
Category : Bible
Languages : en
Pages : 516

Book Description


The Grand Strategy of the Roman Empire

The Grand Strategy of the Roman Empire PDF Author: Edward Luttwak
Publisher: JHU Press
ISBN: 1421419459
Category : History
Languages : en
Pages : 297

Book Description
A newly updated edition of this classic, hugely influential account of how the Romans defended their vast empire. At the height of its power, the Roman Empire encompassed the entire Mediterranean basin, extending much beyond it from Britain to Mesopotamia, from the Rhine to the Black Sea. Rome prospered for centuries while successfully resisting attack, fending off everything from overnight robbery raids to full-scale invasion attempts by entire nations on the move. How were troops able to defend the Empire’s vast territories from constant attacks? And how did they do so at such moderate cost that their treasury could pay for an immensity of highways, aqueducts, amphitheaters, city baths, and magnificent temples? In The Grand Strategy of the Roman Empire, seasoned defense analyst Edward N. Luttwak reveals how the Romans were able to combine military strength, diplomacy, and fortifications to effectively respond to changing threats. Rome’s secret was not ceaseless fighting, but comprehensive strategies that unified force, diplomacy, and an immense infrastructure of roads, forts, walls, and barriers. Initially relying on client states to buffer attacks, Rome moved to a permanent frontier defense around 117 CE. Finally, as barbarians began to penetrate the empire, Rome filed large armies in a strategy of “defense-in-depth,” allowing invaders to pierce Rome’s borders. This updated edition has been extensively revised to incorporate recent scholarship and archeological findings. A new preface explores Roman imperial statecraft. This illuminating book remains essential to both ancient historians and students of modern strategy.

The Notation of Polyphonic Music 900 1600 (Paperback)

The Notation of Polyphonic Music 900 1600 (Paperback) PDF Author: Willi Apel
Publisher: Ohio University Center for International Studies
ISBN: 9781849028059
Category : Musical notation
Languages : en
Pages : 518

Book Description


Advanced Research Methods for Applied Psychology

Advanced Research Methods for Applied Psychology PDF Author: Paula Brough
Publisher: Routledge
ISBN: 1315517957
Category : Psychology
Languages : en
Pages : 351

Book Description
This is the first comprehensive guide to the range of research methods available to applied psychologists. Ideally suited to students and researchers alike, and covering both quantitative and qualitative techniques, the book takes readers on a journey from research design to final reporting. The book is divided into four sections, with chapters written by leading international researchers working in a range of applied settings: Getting Started Data Collection Data Analysis Research Dissemination With coverage of sampling and ethical issues, and chapters on everything from experimental and quasi-experimental designs to longitudinal data collection and focus groups, the book provides a concise overview not only of the options available for applied research, but also of how to make sense of the data produced. It includes chapters on organizational interventions and the use of digital technologies, and concludes with chapters on how to publish your research, whether it’s a thesis, journal article or organisational report. This is a must-have book for anyone conducting psychological research in an applied setting.

Lost Tribes and Promised Lands

Lost Tribes and Promised Lands PDF Author: Ronald Sanders
Publisher: Echo Point Books & Media
ISBN: 9781626542761
Category : History
Languages : en
Pages : 0

Book Description
In Lost Tribes and Promised Lands, celebrated historian and cultural critic Ronald Sanders offers a compelling and ideology-shattering history of racial prejudice and myth as shaped by political, religious, and economic forces from the 14th Century to the present day.

Stan Brakhage

Stan Brakhage PDF Author: David James
Publisher: Temple University Press
ISBN: 1439905290
Category : Performing Arts
Languages : en
Pages : 250

Book Description
The art and legacy of a towering figure in the independent film movement.

Encyclopedia of Twentieth-Century Photography, 3-Volume Set

Encyclopedia of Twentieth-Century Photography, 3-Volume Set PDF Author: Lynne Warren
Publisher: Routledge
ISBN: 1135205361
Category : Photography
Languages : en
Pages : 1823

Book Description
The Encyclopedia of Twentieth-Century Photography explores the vast international scope of twentieth-century photography and explains that history with a wide-ranging, interdisciplinary manner. This unique approach covers the aesthetic history of photography as an evolving art and documentary form, while also recognizing it as a developing technology and cultural force. This Encyclopedia presents the important developments, movements, photographers, photographic institutions, and theoretical aspects of the field along with information about equipment, techniques, and practical applications of photography. To bring this history alive for the reader, the set is illustrated in black and white throughout, and each volume contains a color plate section. A useful glossary of terms is also included.