USCO and Quasicontinuous Mappings (De Gruyter Studies in Mathematics)
by Lubica Hola, Dusan Holy, and Warren Moors
This book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued mappings, the second class relaxes the definition of continuity. Both these topological concepts stem naturally from basic mathematical considerations and have numerous applications that are covered in detail.
A Dynamical Systems Theory of Thermodynamics (Princeton Applied Mathematics, #68) (Princeton Series in Applied Mathematics)
by Wassim M Haddad
A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all...
Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers (Foundations and Trends (R) in Machine Learning) (Foundations and Trends(r) in Machine Learning, #8)
by Stephen Boyd, Neal Parikh, Eric Chu, Borja Peleato, and Jonathan Eckstein
Many problems of recent interest in statistics and machine learning can be posed in the framework of convex optimization. Due to the explosion in size and complexity of modern datasets, it is increasingly important to be able to solve problems with a very large number of features or training examples. As a result, both the decentralized collection or storage of these datasets as well as accompanying distributed solution methods are either necessary or at least highly desirable. This book argues...
With growing global competition, the process industries must spare no effort in insuring continuous process improvement in terms of Increasing profitability; Conservation of resources and Prevention of pollution. The question is how can engineers achieve these goals for a given process with numerous units and streams? Until recently conventional approaches to process design and operation put emphasis only on individual units and parts of the process. A more powerful integrated approach was l...