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Book Synopsis Mathematics of Data Fusion by : I.R. Goodman
Download or read book Mathematics of Data Fusion written by I.R. Goodman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data fusion or information fusion are names which have been primarily assigned to military-oriented problems. In military applications, typical data fusion problems are: multisensor, multitarget detection, object identification, tracking, threat assessment, mission assessment and mission planning, among many others. However, it is clear that the basic underlying concepts underlying such fusion procedures can often be used in nonmilitary applications as well. The purpose of this book is twofold: First, to point out present gaps in the way data fusion problems are conceptually treated. Second, to address this issue by exhibiting mathematical tools which treat combination of evidence in the presence of uncertainty in a more systematic and comprehensive way. These techniques are based essentially on two novel ideas relating to probability theory: the newly developed fields of random set theory and conditional and relational event algebra. This volume is intended to be both an update on research progress on data fusion and an introduction to potentially powerful new techniques: fuzzy logic, random set theory, and conditional and relational event algebra. Audience: This volume can be used as a reference book for researchers and practitioners in data fusion or expert systems theory, or for graduate students as text for a research seminar or graduate level course.
Book Synopsis Data Fusion Mathematics by : Jitendra R. Raol
Download or read book Data Fusion Mathematics written by Jitendra R. Raol and published by CRC Press. This book was released on 2015-08-27 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fills the Existing Gap of Mathematics for Data FusionData fusion (DF) combines large amounts of information from a variety of sources and fuses this data algorithmically, logically and, if required intelligently, using artificial intelligence (AI). Also, known as sensor data fusion (SDF), the DF fusion system is an important component for use in va
Book Synopsis Mathematical Techniques in Multisensor Data Fusion by : David Lee Hall
Download or read book Mathematical Techniques in Multisensor Data Fusion written by David Lee Hall and published by Artech House. This book was released on 2004 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this book, advances in algorithms, logic and software tools have transformed the field of data fusion. The latest edition covers these areas as well as smart agents, human computer interaction, cognitive aides to analysis and data system fusion control. data fusion system, this book guides you through the process of determining the trade-offs among competing data fusion algorithms, selecting commercial off-the-shelf (COTS) tools, and understanding when data fusion improves systems processing. Completely new chapters in this second edition explain data fusion system control, DARPA's recently developed TRIP model, and the latest applications of data fusion in data warehousing and medical equipment, as well as defence systems.
Book Synopsis Fusion Systems in Algebra and Topology by : Michael Aschbacher
Download or read book Fusion Systems in Algebra and Topology written by Michael Aschbacher and published by Cambridge University Press. This book was released on 2011-08-25 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.
Book Synopsis Mathematics of Data Fusion by : I R Goodman
Download or read book Mathematics of Data Fusion written by I R Goodman and published by . This book was released on 1997-08-31 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data fusion or information fusion are names which have been primarily assigned to military-oriented problems. In military applications, typical data fusion problems are: multisensor, multitarget detection, object identification, tracking, threat assessment, mission assessment and mission planning, among many others. However, it is clear that the basic underlying concepts underlying such fusion procedures can often be used in nonmilitary applications as well. The purpose of this book is twofold: First, to point out present gaps in the way data fusion problems are conceptually treated. Second, to address this issue by exhibiting mathematical tools which treat combination of evidence in the presence of uncertainty in a more systematic and comprehensive way. These techniques are based essentially on two novel ideas relating to probability theory: the newly developed fields of random set theory and conditional and relational event algebra. This volume is intended to be both an update on research progress on data fusion and an introduction to potentially powerful new techniques: fuzzy logic, random set theory, and conditional and relational event algebra. Audience: This volume can be used as a reference book for researchers and practitioners in data fusion or expert systems theory, or for graduate students as text for a research seminar or graduate level course.
Book Synopsis Methods of Mathematical Oncology by : Takashi Suzuki
Download or read book Methods of Mathematical Oncology written by Takashi Suzuki and published by Springer Nature. This book was released on 2021-08-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents original papers reflecting topics featured at the international symposium entitled “Fusion of Mathematics and Biology” and organized by the editor of the book. The symposium, held in October 2020 at Osaka University in Japan, was the core event for the final year of the research project entitled “Establishing International Research Networks of Mathematical Oncology.” The project had been carried out since April 2015 as part of the Core-to-Core Program of Japan Society for the Promotion of Science (JSPS). In this book, the editor presents collaborative research from prestigious organizations in France, the UK, and the USA. By utilizing their individual strengths and realizing the fusion of life science and mathematical science, the project achieved a combination of mathematical analysis, verification by biomedical experiments, and statistical analysis of chemical databases. Mathematics is sometimes regarded as a universal language. It is a valuable property that everyone can understand beyond the boundaries of culture, religion, and language. This unifying force of mathematics also applies to the various fields of science. Mathematical oncology has two aspects, i.e., data science and mathematical modeling, and definitely helps in the prediction and control of biological phenomena observed in cancer evolution. The topics addressed in this book represent several methods of applying mathematical modeling to scientific problems in the natural sciences. Furthermore, novel reviews are included that may motivate many mathematicians to become interested in biological research.
Book Synopsis The Theory of Fusion Systems by : David A. Craven
Download or read book The Theory of Fusion Systems written by David A. Craven and published by Cambridge University Press. This book was released on 2011-06-23 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to deal comprehensively with the theory of fusion systems.
Book Synopsis Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type by : Carles Broto
Download or read book Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type written by Carles Broto and published by American Mathematical Soc.. This book was released on 2020-02-13 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a finite group G of Lie type and a prime p, the authors compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is the defining characteristic of G, they are all isomorphic, with a very short list of exceptions. When p is different from the defining characteristic, the situation is much more complex but can always be reduced to a case where the natural map from Out(G) to outer automorphisms of the fusion or linking system is split surjective. This work is motivated in part by questions involving extending the local structure of a group by a group of automorphisms, and in part by wanting to describe self homotopy equivalences of BG∧p in terms of Out(G).
Book Synopsis Bulletin by : Kansas Association of Teachers of Mathematics
Download or read book Bulletin written by Kansas Association of Teachers of Mathematics and published by . This book was released on 1927 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fusion of Defects by : Arthur Bartels
Download or read book Fusion of Defects written by Arthur Bartels and published by American Mathematical Soc.. This book was released on 2019-04-10 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal nets provide a mathematical model for conformal field theory. The authors define a notion of defect between conformal nets, formalizing the idea of an interaction between two conformal field theories. They introduce an operation of fusion of defects, and prove that the fusion of two defects is again a defect, provided the fusion occurs over a conformal net of finite index. There is a notion of sector (or bimodule) between two defects, and operations of horizontal and vertical fusion of such sectors. The authors' most difficult technical result is that the horizontal fusion of the vacuum sectors of two defects is isomorphic to the vacuum sector of the fused defect. Equipped with this isomorphism, they construct the basic interchange isomorphism between the horizontal fusion of two vertical fusions and the vertical fusion of two horizontal fusions of sectors.
Book Synopsis On Fusion Systems of Component Type by : Michael Aschbacher
Download or read book On Fusion Systems of Component Type written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the finite simple groups. Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.
Book Synopsis Tensor Categories by : Pavel Etingof
Download or read book Tensor Categories written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2016-08-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.
Book Synopsis Quaternion Fusion Packets by : Michael Aschbacher
Download or read book Quaternion Fusion Packets written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2021-04-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let p p be a prime and S S a finite p p-group. A p p-fusion system on S S is a category whose objects are the subgroups of S and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory. The book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program. The first part of the program aims to determine a large subclass of the class of simple 2-fusion systems, while part two seeks to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups.
Book Synopsis The Fusion Mathematics Movement by : Mary Webb Gooding
Download or read book The Fusion Mathematics Movement written by Mary Webb Gooding and published by . This book was released on 1916 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Networked Multisensor Decision and Estimation Fusion by : Yunmin Zhu
Download or read book Networked Multisensor Decision and Estimation Fusion written by Yunmin Zhu and published by CRC Press. This book was released on 2012-07-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the increased capability, reliability, robustness, and survivability of systems with multiple distributed sensors, multi-source information fusion has become a crucial technique in a growing number of areas-including sensor networks, space technology, air traffic control, military engineering, agriculture and environmental engineering, and i
Book Synopsis Physics and Mathematics of Strings by : Lars Brink
Download or read book Physics and Mathematics of Strings written by Lars Brink and published by World Scientific. This book was released on 1990 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vadim Knizhnik was one of the most promising theoretical physicists in the world. Unfortunately, he passed away at the very young age of 25 years. This memorial volume is to honor his contributions in Theoretical Physics. This is perhaps one of the most important collections of articles on the theoretical developments in String Theory, Conformal Field Theory and related topics. It consists of contributions from world-renowned physicists who have met Vadim Knizhnik personally and whom the late Knizhnik really respected. The contributions are systematic and pedagogical in format.
Book Synopsis Unification of Mathematics by : Estelle Ruth Stone
Download or read book Unification of Mathematics written by Estelle Ruth Stone and published by . This book was released on 1924 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
