2 edition of Algebraic switching theory and broadband applications found in the catalog.
Algebraic switching theory and broadband applications
Shuo-Yen Robert Li
Includes bibliographical references (p. 381-387) and index.
|Statement||Shuo-Yen Robert Li.|
|The Physical Object|
|Pagination||xv, 406 p. :|
|Number of Pages||406|
Some applications of algebraic number theory The following examples are meant to convince you that learning algebraic number theory now will be an excellent investment of your time. If an example below seems vague to you, it is safe to ignore it. Integer factorization using the number field sieve. The number field sieve is the asymptotically. Algebraic coding theory is an area of discrete applied mathematics that is concerned (in part) with developing error-control codes and encoding/decoding procedures. Many areas of mathematics are used in coding theory, and we focus on the interplay between algebra and coding theory. The topics in this packetFile Size: KB.
Abstract Algebra: Theory and Applications is open-source in the fullest sense of the word. The source code is kept in a repository under version control and textbook adopters are encouraged to submit changes. The book has sufficient material for a complete two-semester course covering groups, rings, and fields. 8 Algebraic Coding Theory. In Abstract Algebra: Structure and Application, Finston and Morandi intend to develop the structures and basic theorems of modern algebra through applications that have relevance to the students’ daily lives. Some of these applications include identification numbers like zip codes and UPCs, error-correcting codes, linear codes, ruler and.
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By linking switching theory to industrial practice throughout the book, readers benefit from exposure to more than a pure mathematical treatment. Algebraic Switching Theory and Broadband Applications is unique in its focus on developing an algebraic foundation for switching networks.
This focus will be of great value to researchers and Cited by: Algebraic switching theory and broadband applications. San Diego: Academic Press, © (OCoLC) Online version: Li, Shuo-Yen Robert.
Algebraic switching theory and broadband applications. San Diego: Academic Press, © (OCoLC) Document Type: Book: All Authors / Contributors: Shuo-Yen Robert Li. Find helpful customer reviews and review ratings for Algebraic Switching Theory and Broadband Applications (Telecommunications) at Read honest and 5/5.
Home Browse by Title Books Algebraic switching theory and broadband applications. Algebraic switching theory and broadband applications September September Read More.
Editor: Shuo-Yen Robert Li. Chinese Univ. of Hong Kong, Shatin, Hong Kong. Publisher: Academic Press, Inc. Algebraic switching theory and broadband applications / Shuo-Yen Robert Li.
Format Book Published San Diego: Academic Press, c Description xv, p.: ill. ; 24 cm. Series Series in telecommunications Notes Includes bibliographical references and index. Subject headings. Some applications of algebraic number theory The following examples are meant to convince you that learning algebraic number theory now will be an excellent investment of your time.
If an example below seems vague to you, it is safe to ignore it. Integer factorization using the number ﬁeld sieve. The number ﬁeld sieve isFile Size: KB. Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence.
Although algebraic topology primarily uses algebra to study topological problems, using topology to. Linear Algebra, Theory And Applications. This is a book on linear algebra and matrix theory. It provides an introduction to various numerical methods used in linear algebra.
This is done because of the interesting nature of these methods. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra.
Mollin's book "Algebraic Number Theory" is a very basic course and each chapter ends with an application of number rings in the direction of primality testing or integer factorization. Chapter 16 of Washington's book on cyclotomic fields (2nd ed.) starts with a section on the use of Jacobi sums in primality testing.
For underlying data forwarding, we introduce an innovative Load-Balanced Multipath Self-routing Switching Architecture and start on the implementation on an Altera StratixIV FPGA. The inspiring test results prove that our theory and practiceguarantee the high communication transmission quality for Wide-Sense : Qian Zhan, Hui Li, Li Ma, Shijie Lv.
Switching and traffic theory for integrated broadband networks / by Joseph Y. Hui ; foreword by Robert G. Gallager. Switching and traffic theory for integrated broadband networks.
Hui, Joseph Yu Ngai. TKH85 Algebraic switching theory and broadband applications. Li, Shuo-Yen Robert.
TKL52 Photonic switching. Unified Algebraic Theory of Sorting, Routing, Multicasting, and Concentration Networks Article in IEEE Transactions on Communications 58(1) - February with 3 Reads.
His “martingale of patterns” () engenders a research area with applications to genetics and other fields. The “algebraic switching fabric” adopted by the “Metro Switch” project of ITRI in Taiwan is derived from his book “Algebraic Switching Theory and Broadband Applications” (). He holds 35 US patents.
What are some nice applications of algebraic topology that can be presented to beginning students. To give examples of what I have in mind: Brouwer's fixed point theorem, Borsuk-Ulam theorem, Hairy Ball Theorem, any subgroup of a free group is free.
The deeper the methods used, the better. All the above can be proved with just the fundamental. Algebraic Number These notes are concerned with algebraic number theory, and the sequel with class field theory.
Topics covered includes: Preliminaries from Commutative Algebra, Rings of Integers, Dedekind Domains- Factorization, The Unit Theorem, Cyclotomic Extensions- Fermat’s Last Theorem, Absolute Values- Local Fieldsand Global Fields. Book Description. Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.
The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial.
Switching circuit theory is the mathematical study of the properties of networks of idealized switches. Such networks may be strictly combinational logic, in which their output state is only a function of the present state of their inputs; or may also contain sequential elements, where the present state depends on the present state and past states; in that sense, sequential circuits.
Principles of Broadband Switching and Networking is written for senior undergraduate and first-year postgraduate students with a solid background in probability theory.
Discover the world's. Great introduction to algebraic topology. For those who have never taken a course or read a book on topology, I think Hatcher's book is a decent starting point. However, (IMO) you should have a working familiarity with Euclidean Geometry, College Algebra, Logic or Discrete Math, and Set Theory before attempting this book/5.
theory. These topics could only be touched on in a ﬁrst course, and we feel that more time should be spent on them if they are to be appreciated.
In Chapter 2 we discuss boolean algebras and their application to switching circuits. These provide a good example of algebraic structures whose elements are nonnumerical.Information Theory and Wireless Networking.
Search this site. Home. Book. Journal. Boolean algebra or switching algebra is a system of mathematical logic to perform different mathematical operations in binary system.
These are only two elements 1 and 0 by which all the mathematical operations are to be performed. There only three basis binary operations, AND, OR and NOT by which all simple as well as complex binary mathematical operations are .