Table of Contents:
Preface; Elasticity of Factorizations in Graded Integral Domains
(H. Kim); The Homogenous Class Group of A+XB[X] Domains (D.
Anderson, S. Baghdadi, and S. Kabbaj); A Note on Finitely
Generated Ideals of an Arithmetical Ring (R. Gilmer); Primes that
Become Primal in a Pullback (T. Dumitrescu, N. Radu, and M.
Zafrullah); Some Remarks on Distinguished Domains (D. Anderson, D.
Kwak, and M. Zafrullah); On Divided Rings and ?-Pseudo-Valuation
Rings (A. Badawi); Generalizations of Pseudo-Valuation Rings (G.
W. Chang); G-Domain Pairs (D. Dobbs); Star-Operations and Trace
Properties (A. Mimouni); Automorphisms and Zero Divisor Graphs of
Commutative Rings (Frank DeMeyer and Kim Schneider); Sums and
Intersections of Submodules of a Free Module Over a Finite
Special Principal Ideal Ring (Grady D. Bullington); GD(1) and GD(2)
are not Preserved in Integral Closures (Jim Coykendall); Normal
Maximal Ideal in One-Dimensional Local Rings (Vincenzo Micale);
On Locally Isomorphic Torsion-Free Modules (Pat Goeters and Bruce
Olberding); On Chains of Overrings of an Integral Domain (David E.
Dobbs); Note on the Number of Semistar-Operations, III (Ryuki
Matsuda); Order Bases of Subalgebras of k[[X]] (V. Micale, G.
Molica and B.Torrisi); Three Families of Free Numerical
Semigroups with Arbitrary Embedding Dimension (J. C. Rosales and
M. B. Branco); The Zero-Divisor Graph of a Non-Commutative Ring (Shane
P. Redmond); Index.
Binding: Hardcover
Pub. Date: 2004
ISBN: 1-59033-926-6
Book Description:
If, presumably, the definition of a Boolean algebra employs the
notion of a partially ordered set, whereas a general definition
of a topological space is based on the notion of a metric, then
by considering a more general situation with quasi metrics one
may obtain the notion of a bitopological space (i.e., a set
endowed with two arbitrary topologies). A further development of
the theory of bitopological spaces has made it possible to
introduce and study an algebra of a new type that is based on a
nonordinary variant of a quasi ordered set and the corresponding
representation of which brings one to bitopological spaces. The
author calls this a generalized Boolean algebra, which is
interesting not only as the subject of independent research, but
also can be used as an important tool in establishing its various
relationships with other areas of mathematics and, in particular,
as in related double Boolean algebras with mathematical studies.
Table of Contents:
Chapter 1. Introduction; Chapter 2. Gosets, Generalized Lattices,
Generalized Boolean Algebras, and the Corresponding Operations;
Chapter 3. Generalized Ideals and their Variety. Stone Family of
Prime Generalized Ideals; Chapter 4. Generalized Filters and
their Variety. Generalized Duality between Generalized Ideals and
Generalized Filters; Chapter 5. Generalized Homomorphisms and
Generalized Isomorphisms; Chapter 6. ( i, j) ? Atoms and ( i, j)
? Atomic Generalized Boolean Algebras; Chapter 7. Generalized
Boolean Factor Algebras; Chapter 8. Generalized Fields of Sets
and the Generalized Field Representation of a General Boolean
Algebra; Chapter 9. Bitopological Representation of a Generalized
Boolean Algebra; Chapter 10. Generalized Boolean Rings; List of
Special Symbols and Notations; Index; References.
Binding: Hardcover
Pub. Date: July 2005
ISBN: 1-59454-205-8
Book Description:
The monograph is devoted to an investigation of cooperative
effects in stochastic models. It includes original results of the
authors in the last decade. The main object of the monograph is
an analysis of an influence of a stochastic model structure on
its characteristics. Problems of a cooperation and a
decomposition are actual in a solution of a lot of concrete
problems. These problems are: a parallelization of algorithms and
programs, a modelling of supercomputers, computer networks,
systems of mobile telephones catastrophes in complex systems, a
design and an improvement of technological and economical
processes etc. The cooperative effects create a source of
significant dependencies between complex system characteristics
under large random disturbances. To analyze these effects is is
necessary to create special methods based on structural analysis
of multielement stochastic models together with majoral
asymptotic bounds of these models characteristics. At the same
time it demands to develop new approaches to a processing of
statistical data and a skill in an usage of the probability
theory limit theorems and related asymptotic series and bounds. A
choice of the monograph material is defined as by initial applied
problems so by probability methods of their solution.
Conditionally the monograph may be divided into two parts. First
of them contains four sections devoted to a finding of the
cooperative effects and to a development of new related
analytical and numerical methods. This part has presumably
methodological character and creates a theoretical base of an
investigation of applied stochastic systems. Second part contains
three sections devoted to a solution of different applied
problems. It has some interesting substantial results.
Table of Contents:
Introduction; Chapter 1. Cooperative Effects in Discrete Queueing
Models; Chapter 2. Cooperative Effects in Risk Models with
Discrete Time; Chapter 3. New Approaches of Heavy Tails
Asymptotic Analysis; Chapter 4. Cooperative Effects in
Reliability; Chapter 5. New Approaches to Data Processing
Problems; Chapter 6. Cooperative Effects in Stochastic Models of
Mechanics; Chapter 7. Cooperative and Nonlinear Effects in Models
of Mathematical Economics; Index.
Binding: Hardcover
Pub. Date: 2005
ISBN: 1-59454-252-X
0195178769, hardback,
312 pages Feb 2005,
Description
Nam P. Suh focussed his axiomatic design theories on methods to
understand and deal with complexity. Suh is a well-respected
designer and researcher in the fields of manufacturing and
composite materials. He is best known for his systems that aim to
speed up and simplify the process of design for manufacturing.
The 'axioms' in axiomatic design refer to a process to help
engineers reduce design specifications down to their simplest
components, so that the engineers can produce the simplest
possible solution to a problem. Complexity, besides being a key
area of burgeoning research in disciplines interested in complex
systems and chaos theory (like computer science and physics), is
a complicating factor in engineering design that many engineers
find difficult to overcome. Suh's multidisciplinary exploration
of complex systems is meant to eliminate much of the confusion
and allow engineers to accommodate complexity within simple,
elegant design solutions.
Product Details
312 pages; 9 halftones, 101 line illus.; 6-1/8 x 9-1/4; 0-19-517876-9
About the Author(s)
Nam P. Suh, Ralph E. & Eloise F. Cross Professor of
Mechanical Engineering, Massachusetts Institute of Technology
Table of Contents
1. Introduction2. Introduction to Axiomatic Design Principles3.
Complexity Theory Based on Axiomatic Design4. Reduction of Time-Independent
Complexity5. Reduction of Time-Dependent Complexity through the
Use of Functional Periodicity6. Reduction of Complexity in
Manufacturing Systems7. Reduction of Complexity by Means of
Geometric Functional Periodicity8. Reduction of Complexity in
Materials through Functional Periodicity9. Complexity of
Biological Systems10. Complexity of Socio-Political-Economic
Issues
(Hardback)
0-19-856754-5
Publication date: 30 June 2005
350 pages, 213 b/w line figs; 15 b/w halftones, 246mm x 189mm
Description
Unique case study on one physical system.
Interdisciplinary book presenting classical and modern physics.
Draws together a variety of topics in physics.
Written within a technological, cultural and historical context.
Contains many illustrations and chapter-end exercises.
Offers alternative to usual modern physics courses.
The pendulum: a case study in physics is a unique book in several
ways. Firstly, it is a comprehensive quantitative study of one
physical system, the pendulum, from the viewpoint of elementary
and more advanced classical physics, modern chaotic dynamics, and
quantum mechanics. In addition, coupled pendulums and pendulum
analogs of superconducting devices are also discussed. Secondly,
this book treats the physics of the pendulum within a historical
and cultural context, showing, for example, that the pendulum has
been intimately connected with studies of the earth's density,
the earth>'s motion, and timekeeping. While primarily a
physics book, the work provides significant added interest
through the use of relevant cultural and historical vignettes.
This approach offers an alternative to the usual modern physics
courses. The text is amply illustrated and augmented by exercises
at the end of each chapter.
Readership: Final-year undergraduates, graduate students and
professionals (lecturers and researchers) working in physics,
mathematics and engineering.
Contents
1 Introduction
2 Pendulums somewhat simple
3 Pendulums less simple
4 The Foucault pendulum
5 The torsion pendulum
6 The chaotic pendulum
7 Coupled pendulums
8 The quantum pendulum
9 Superconductivity and the pendulum
10 The pendulum clock
A Pendulum Q
B The inverted pendulum
C The double pendulum
D The cradle pendulum
E The long now clock
F The Blackburn pendulum