Decompositions of Manifolds
Author | : |
Publisher | : Academic Press |
Total Pages | : 331 |
Release | : 1986-12-22 |
Genre | : Mathematics |
ISBN | : 0080874436 |
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Decompositions of Manifolds
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Author | : |
Publisher | : Academic Press |
Total Pages | : 331 |
Release | : 1986-12-22 |
Genre | : Mathematics |
ISBN | : 0080874436 |
Decompositions of Manifolds
Author | : W. Frank Moore |
Publisher | : Springer |
Total Pages | : 387 |
Release | : 2018-10-24 |
Genre | : Mathematics |
ISBN | : 3319968769 |
This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in abstract algebra that includes polynomial rings and ideals, this book serves as a core text for a course in combinatorial commutative algebra or as preparation for more advanced courses in the area. The text contains over 600 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2 with tutorials and exercises for most sections of the text, preparing them for significant computational work in the area. Connections to non-monomial areas of abstract algebra, electrical engineering, combinatorics and other areas of mathematics are provided which give the reader a sense of how these ideas reach into other areas.
Author | : Cheryl E. Praeger |
Publisher | : London Mathematical Society Le |
Total Pages | : 338 |
Release | : 2018-05-03 |
Genre | : Mathematics |
ISBN | : 0521675065 |
Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.
Author | : Gérard Favier |
Publisher | : John Wiley & Sons |
Total Pages | : 386 |
Release | : 2021-08-31 |
Genre | : Technology & Engineering |
ISBN | : 1786301555 |
The second volume will deal with a presentation of the main matrix and tensor decompositions and their properties of uniqueness, as well as very useful tensor networks for the analysis of massive data. Parametric estimation algorithms will be presented for the identification of the main tensor decompositions. After a brief historical review of the compressed sampling methods, an overview of the main methods of retrieving matrices and tensors with missing data will be performed under the low rank hypothesis. Illustrative examples will be provided.
Author | : I. Erdelyi |
Publisher | : Springer |
Total Pages | : 130 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540369910 |
Author | : Howard E. Powell |
Publisher | : |
Total Pages | : 52 |
Release | : 1965 |
Genre | : Siderite |
ISBN | : |
Author | : Svante Janson |
Publisher | : American Mathematical Soc. |
Total Pages | : 90 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 082182595X |
We define an orthogonal basis in the space of real-valued functions of a random graph, and prove a functional limit theorem for this basis. Limit theorems for other functions then follow by decomposition. The results include limit theorems for the two random graph models [italic]G[subscript italic]n, [subscript italic]p and [italic]G[subscript italic]n, [subscript italic]m as well as functional limit theorems for the evolution of a random graph and results on the maximum of a function during the evolution. Both normal and non-normal limits are obtained. As examples, applications are given to subgraph counts and to vertex degrees.
Author | : Theodore G. Faticoni |
Publisher | : CRC Press |
Total Pages | : 344 |
Release | : 2007-03-28 |
Genre | : Mathematics |
ISBN | : 9781584887270 |
With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups
Author | : Steve Armentrout |
Publisher | : American Mathematical Soc. |
Total Pages | : 76 |
Release | : 1971 |
Genre | : Decomposition (Mathematics) |
ISBN | : 0821818074 |
Author | : Elías Cueto |
Publisher | : Springer |
Total Pages | : 103 |
Release | : 2016-03-01 |
Genre | : Science |
ISBN | : 3319299948 |
This book is intended to help researchers overcome the entrance barrier to Proper Generalized Decomposition (PGD), by providing a valuable tool to begin the programming task. Detailed Matlab Codes are included for every chapter in the book, in which the theory previously described is translated into practice. Examples include parametric problems, non-linear model order reduction and real-time simulation, among others. Proper Generalized Decomposition (PGD) is a method for numerical simulation in many fields of applied science and engineering. As a generalization of Proper Orthogonal Decomposition or Principal Component Analysis to an arbitrary number of dimensions, PGD is able to provide the analyst with very accurate solutions for problems defined in high dimensional spaces, parametric problems and even real-time simulation.