Interest in the topic of structural reliability and optimal design has been rapidly growing in recent years. Besides, the field of numerical methods and artificial intelligence is experiencing a surge of new methods and the refinement of existing ones to expand opportunities to apply robust formulations to complex engineering problems. Today, more than ever, the field is receiving fresh ideas on how to face the challenges of finding a balance between cost and benefits that may lead towards the optimal design of systems. Recently, the probability density evolution method (PDEM) was proposed by Prof. Jie Li as an alternative way to obtain the stochastic and dynamic solution of the safety level of engineering systems under any kind of hazard. This work deals with the application of this powerful method to derive optimal design recommendations for large engineering systems under natural hazards. The three case studies illustrate to engineers and academic specialists how to strike a cost-effective balance in designing such systems.
Searching for the causes of mental disorders is as exciting as it it complex. The relationship between pathophysiology and its overt manifestations is exceedingly intricate, and often the causes of a disorder are elusive at best. This book is an invaluable resource for anyone trying to track these causes, whether they be clinical researchers, public health practitioners, or psychiatric epidemiologists-in-training. Uniting theory and practice in very clear language, it makes a wonderful contribution to both epidemiologic and psychiatric research. Rather than attempting to review the descriptive epidemiology of mental disorders, this book gives much more dynamic exposition of the thinking and techniques used to establish it. Starting out by tracing the brief history of psychiatric epidemiology, the book describes the study of risk factors as causes of mental disorders. Subsequent sections discuss approaches to investigation of biologic, genetic, or social causes and the statistical analysis of study results. The book concludes by following some of the problems involved in the search for genetic causes of mental disorders, and more complex casual relationships.
This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.
We could start writing this book by saying, with several other authors, that the brain is the most powerful and complex information processing device known, whether naturally developed or created artificially. Although we fully agree with this statement, in doing so we would be misleading the reader, in the sense that the present book basically aims to formalize the knowledge concerning brain physiology accumulated over the past few decades. Instead of merely describing the complexity of the cerebral str- ture or presenting a collection of commentaries and reviews of interesting experimental results, we take into account novel achievements in quantum information and quantum computation, and avail ourselves of recently - veloped mathematical tools. Neuroscience was bom in the 19'~ century with the works of Paul Brocca. However, this fledgling field experienced a boom only in recent times, following the development of powerful non-invasive techniques for probing the neural circuitry supporting the complex cognitive functions of the human brain. Although sophisticated mathematical models and phy- cal theories are the basic tools behind the conceptual foundations and a- lytical implementation of these modem techniques, to the best of our knowledge no effort was made to formalize the actual knowledge about brain function into a coherent theoretical framework incorporating the - cent developments in mathematical and physical science. Addressing this lack was our first motivation in writing this book.
The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.
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