Euclidean Design Theory
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Euclidean Design Theory
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Author : Masanori Sawa
language : en
Publisher: Springer
Release Date : 2019-07-23
Euclidean Design Theory written by Masanori Sawa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-23 with Mathematics categories.
This book is the modern first treatment of experimental designs, providing a comprehensive introduction to the interrelationship between the theory of optimal designs and the theory of cubature formulas in numerical analysis. It also offers original new ideas for constructing optimal designs. The book opens with some basics on reproducing kernels, and builds up to more advanced topics, including bounds for the number of cubature formula points, equivalence theorems for statistical optimalities, and the Sobolev Theorem for the cubature formula. It concludes with a functional analytic generalization of the above classical results. Although it is intended for readers who are interested in recent advances in the construction theory of optimal experimental designs, the book is also useful for researchers seeking rich interactions between optimal experimental designs and various mathematical subjects such as spherical designs in combinatorics and cubature formulas in numerical analysis, both closely related to embeddings of classical finite-dimensional Banach spaces in functional analysis and Hilbert identities in elementary number theory. Moreover, it provides a novel communication platform for “design theorists” in a wide variety of research fields.
Contemporary Design Theory
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Author : Jeffrey H. Dinitz
language : en
Publisher: John Wiley & Sons
Release Date : 1992-08-04
Contemporary Design Theory written by Jeffrey H. Dinitz 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 1992-08-04 with Mathematics categories.
Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.
Algorithms In Combinatorial Design Theory
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Author : C.J. Colbourn
language : en
Publisher: Elsevier
Release Date : 1985-01-01
Algorithms In Combinatorial Design Theory written by C.J. Colbourn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Mathematics categories.
The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.
Design Theory
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Author : Charles C. Lindner
language : en
Publisher: CRC Press
Release Date : 2017-03-27
Design Theory written by Charles C. Lindner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Mathematics categories.
Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics. This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs. The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems. By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.
Optimal Design
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Author : Valer Vasiliev
language : en
Publisher: CRC Press
Release Date : 1999-03-22
Optimal Design written by Valer Vasiliev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-22 with Technology & Engineering categories.
Optimal Structural Design can be referred to as one of the most important and promising branches of applied mathematics and mechanics. This book reflects the culmination of Russian activity in the field of optimal structural design.
Introduction To Combinatorial Designs Second Edition
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Author : W.D. Wallis
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Introduction To Combinatorial Designs Second Edition written by W.D. Wallis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an overview of basic concepts, the text introduces balanced designs and finite geometries. The author then delves into balanced incomplete block designs, covering difference methods, residual and derived designs, and resolvability. Following a chapter on the existence theorem of Bruck, Ryser, and Chowla, the book discusses Latin squares, one-factorizations, triple systems, Hadamard matrices, and Room squares. It concludes with a number of statistical applications of designs. Reflecting recent results in design theory and outlining several applications, this new edition of a standard text presents a comprehensive look at the combinatorial theory of experimental design. Suitable for a one-semester course or for self-study, it will prepare readers for further exploration in the field. To access supplemental materials for this volume, visit the author’s website at http://www.math.siu.edu/Wallis/designs
Design Theory Language And Architectural Space In Lewis Carroll
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Author : Caroline Dionne
language : en
Publisher: Taylor & Francis
Release Date : 2023-07-31
Design Theory Language And Architectural Space In Lewis Carroll written by Caroline Dionne and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-31 with Design categories.
This volume offers spatial theories of the emergent based on a careful close reading of the complete works of nineteenth-century writer and mathematician Lewis Carroll—from his nonsense fiction, to his work on logic and geometry, including his two short pamphlets on architecture. Drawing on selected key moments in our philosophical tradition, including phenomenology and sociospatial theories, Caroline Dionne interrogates the relationship between words and spaces, highlighting the crucial role of language in processes of placemaking. Through an interdisciplinary method that relates literary and language theories to theories of space and placemaking, with emphasis on the social and political experience of architectural spaces, Dionne investigates Carroll’s most famous children’s books, Alice’s Adventures in Wonderland and Through the Looking-Glass and What Alice Found There, in relation to his lesser-known publications on geometry and architecture. The book will be of interest to scholars working in design theory, design history, architecture, and literary theory and criticism.
Algebraic Combinatorics
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Author : Eiichi Bannai
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-02-22
Algebraic Combinatorics written by Eiichi Bannai 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 2021-02-22 with Mathematics categories.
Algebraic combinatorics is the study of combinatorial objects as an extension of the study of finite permutation groups, or, in other words, group theory without groups. In the spirit of Delsarte's theory, this book studies combinatorial objects such as graphs, codes, designs, etc. in the general framework of association schemes, providing a comprehensive overview of the theory as well as pointing out to extensions.
Design Theory
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Author : D. R. Hughes
language : en
Publisher: Cambridge University Press
Release Date : 1985-05-27
Design Theory written by D. R. Hughes 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 1985-05-27 with Mathematics categories.
Design theory has grown to be a subject of considerable interest in mathematics, not only in itself, but for its connections to other fields such as geometry, group theory, graph theory and coding theory. This textbook, first published in 1985, is intended to be an accessible introduction to the subject for advanced undergraduate and beginning graduate students which should prepare them for research in design theory and its applications. The first four chapters of the book are designed to be the core of any course in the subject, while the remaining chapters can be utilized in more advanced or longer courses. The authors assume some knowledge of linear algebra for the first half of the book, but for the second half, students need further background in algebra.
Computational And Constructive Design Theory
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Author : W.D. Wallis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Computational And Constructive Design Theory written by W.D. Wallis 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 2013-06-29 with Mathematics categories.
Over the last several years, there has been a significant increase in compu tational combinatorics. The most widely reported results were, of course, the proof of the Four Color Theorem and the proof that there is no projective plane of parameter 10. Although the computer was essential in both proofs, the only reason for this was the fact that life is short. The computations involved were not different in kind from those which have been done by human brains without electronic assistance; they were just longer. Another important fact to notice is that both problems were theoretical, pure mathematical ones. The pursuit of the Four-Color Theorem has led to the development of whole branches of graph theory. The plane of parameter 10 is not an isolated case; its nonexistence is the first (and so far, the only) coun terexample to the conjecture that the Bruck-Chowla-Ryser conditions were necessary and sufficient for the existence of a symmetric balanced incomplete block design; the study of this problem has also led to a number of theoretical advances, including investigation of the relationship between codes and designs.