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Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.
Concise treatment of fundamental theory explores two-dimensional Laplace transform and basic definitions, theorems, applications of operational calculus in two variables. Includes tables of formulae for various categories of functions. 1962 edition.
Welcome to the proceedings of the Third International Conference on Sustainability in Energy and Buildings, SEB’11, held in Marseilles in France, organised by the Laboratoire des Sciences del'Information et des Systèmes (LSIS) in Marseille, France in partnership with KES International. SEB'11 formed a welcome opportunity for researchers in subjects related to sustainability, renewable energy technology, and applications in the built environment to mix with other scientists, industrialists and stakeholders in the field. The conference featured presentations on a range of renewable energy and sustainability related topics. In addition the conference explored two innovative themes: the application of intelligent sensing, control, optimisation and modelling techniques to sustainability and the technology of sustainable buildings. These two themes combine synergetically to address issues relating to The Intelligent Building. SEB’11 attracted a significant number of submissions from around the world. These were subjected to a two-stage blind peer-review process. With the objective of producing a high-quality conference, only the best 50 or so of these were selected for presentation at the conference and publication in the proceedings. It is hoped that you will find this volume an interesting, informative and useful resource for your research.
This book examines in detail the use of the pronominal adjective πας («all, each, every») in the Greek New Testament, focusing on how syntactical patterns and the semantic value of words or phrases it modifies are factors determining its sense and scope. These findings are applied to the interpretation of several debated passages in the New Testament.
Proceedings of the Artificial Neural Networks in Engineering Conference, November 2002, St. Louis, Missouri. This annual conference publication presents refereed papers covering the following categories and their applications in the engineering domain: Neural Networks, Complex Systems, Evolutionary Programming, Data Mining, Fuzzy Logic, Adaptive Control, Pattern Recognition and Smart Engineering System Design. These papers are intended to provide a forum for researchers in the field to exchange ideas on smart engineering system design.
In textual criticism, the 'scribal habits' in a manuscript (tendencies to make various sorts of changes) must be known in order to evaluate its testimony. Colwell analyzed the scribal habits in P45, P66, and P75, by examining their singular readings. This book expands on Colwell's work by studying P45, P46, P47, P66, P72, and P75, the six most extensive early New Testament manuscripts. All the singular readings in these papyri are studied along with all the corrections. The results, which incorporate many revised readings of these papyri, make possible the more precise use of these papyri in textual criticism. Among the important discoveries is that the general tendency of these early scribes was to omit rather than to add.
This volume has no such ambitious aim as that of being a final commentary on the Gospel according to S. Luke. The day is probably still far distant when any such commentary can be written. One of the difficulties with which the present commentator has had to contend is the impossibility of keeping abreast of all that is constantly appearing respecting the Synoptic Gospels as a whole and this or that detail in them. And the Third Gospel abounds in details which have elicited special treatment at the hands of a variety of scholars. Every quarter, indeed almost every month, brings its list of new books, some of which the writer wishes that he could have seen before his own words were printed. But to wait is but to prolong, if not to increase, one’s difficulties: it is waiting dum defluat amnis. Notes written and rewritten three or four times must be fixed in some form at last, if they are ever to be published. And these notes are now offered to those who care to use them, not as the last word on any one subject, but simply as one more stage in the long process of eliciting from the inexhaustible storehouse of the Gospel narrative some of those things which it is intended to convey to us. They will have done their work if they help someone who is far better equipped entirely to supersede them. Reasons are stated in the Introduction for regarding a study of S. Luke’s style as a matter of great interest and importance; and it is hoped that the analysis given of it there will be found useful. A minute acquaintance with it tells us something about the writer of the Third Gospel. It proves to us that he is identical with the writer of the Acts, and that the whole of both these books comes from his hand. And it justifies us in accepting the unswerving tradition of the first eight or nine centuries, that the writer of these two books was Luke the beloved physician.
Provides the first comprehensive analysis of the stages of development of the Gospel of Thomas