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Author: Jean-Paul Brasselet Publisher: Springer Science & Business Media ISBN: 3642052045 Category : Mathematics Languages : en Pages : 242
Book Description
Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.
Author: Jean-Paul Brasselet Publisher: Springer Science & Business Media ISBN: 3642052045 Category : Mathematics Languages : en Pages : 242
Book Description
Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.
Author: Herbert Anderson Publisher: Fortress Press ISBN: 1506454801 Category : Religion Languages : en Pages : 236
Book Description
Shaping our journey into the Divine This moving and enlightening book presents us with a compelling vision of what can happen when we take the opportunity to connect stories and rituals--a vision of individuals and communities transformed through a deeper sense of connection to our loved ones, our communities, and God. Herbert Anderson and Edward Foley reveal how when stories and rituals work together, they have the potential to be both mighty and dangerous--mighty in their ability to lift us up and help us make these connections beyond ourselves and dangerous in challenging us to learn to live with complexity and contradiction. They show how much more meaningful a baptism, wedding, or funeral can be when liturgy is made to include and recognize the personal stories of those involved. Suddenly, these familiar life-cycle rituals are infused with new life as participants become connected in a narrative web linking past and present, human and divine. Newly created rituals can also help us connect our stories to the divine story, giving meaning to what we experience and bringing us closer to God. Ministers, worship leaders, and pastoral caregivers can use this approach to storytelling and ritual to find ways to bring together worship and pastoral care.
Author: Vladimir Koltchinskii Publisher: Springer ISBN: 3642221475 Category : Mathematics Languages : en Pages : 259
Book Description
The purpose of these lecture notes is to provide an introduction to the general theory of empirical risk minimization with an emphasis on excess risk bounds and oracle inequalities in penalized problems. In recent years, there have been new developments in this area motivated by the study of new classes of methods in machine learning such as large margin classification methods (boosting, kernel machines). The main probabilistic tools involved in the analysis of these problems are concentration and deviation inequalities by Talagrand along with other methods of empirical processes theory (symmetrization inequalities, contraction inequality for Rademacher sums, entropy and generic chaining bounds). Sparse recovery based on l_1-type penalization and low rank matrix recovery based on the nuclear norm penalization are other active areas of research, where the main problems can be stated in the framework of penalized empirical risk minimization, and concentration inequalities and empirical processes tools have proved to be very useful.
Author: John M. Connor Publisher: Springer Science & Business Media ISBN: 1461302935 Category : Business & Economics Languages : en Pages : 611
Book Description
Some books get written, others write themselves. This book is the latter type. I have devoted myselfto studying the economic organization of industries related to food and agriculture for almost twenty-five years. It has been my good fortune to work at places that tolerated my gadfly approach to research. So long as I produced a few publications each year and wooed a few graduate students to share those interests, I was free to pursue an array of topics: why firms diversifY, the competitive role of advertising, strategies for selling in overseas markets, measuring market power, and many others. Although firmly anchored in the eclectic analytical framework of industrial economics and focused on the food system, I traversed a wide field at will. Some years ago, I had pretty much convinced myself that naked price fixing was not a high priority for scholarship in these industries. True, collusion was rife in a few food industries, such as bid-rigging among suppliers of fluid milk to school districts in isolated rural districts. Ripping off milk money from school children is reprehensible enough, but the size of the economic losses from localized price fixing paled besides other sources of imperfect competition.
Author: Nicholas Wu Publisher: Teacher Created Materials ISBN: 1433356368 Category : Juvenile Fiction Languages : en Pages : 20
Book Description
Tiddalick the Frog has drunk all the water from the river! The animals try their best to get Tiddalick to give back the water. Kangaroo, Emu, Bandicoot, Kookaburra, and Lizard attempt to make him laugh to get the water back, but nothing seems to work--until a tiny little eel shows up. This enchanting Australian tale will have young readers engaged and impressed with the creativity of these resourceful animals.
Author: Richard Stillwell Publisher: Princeton University Press ISBN: 1400886589 Category : Art Languages : en Pages : 1068
Book Description
Here are over 1,000 pages of authoritative information on the archaeology of Greek and Roman civilization. The sites discussed in the more than 2,800 entries are scattered from Britain to India and from the shores of the Black Sea to the coast of North Africa and up the Nile. They are located on sixteen area maps, keyed to the entries. The entries were written by 375 scholars from sixteen nations, many of whom have worked at the sites they describe. Until now our knowledge of the Classical period has been scattered in hundreds of sources dating from antiquity to our own times. This volume provides essential information on work accomplished, in progress, and still to be undertaken. Originally published in 1976. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Jagmohan Bhanver Publisher: Hachette India ISBN: 935195062X Category : Biography & Autobiography Languages : en Pages : 176
Book Description
An incisive look into the world?s most innovative tech company and the man chosen to lead it. On 10 August 2015, an unassuming product expert who learnt his ropes at IIT Kharagpur was declared the next CEO of tech giant Google. Sundar Pichai?s appointment was hardly an unexpected one. Pichai is a man known as much for his veritable Midas touch with every product he has developed or led for Google ? Chrome, Chrome OS and Android, to name just a few ? as for his superlative people skills and open-minded approach to innovation. Yet, the company?s decision to restructure its product lines and appoint Pichai as the head of a leaner, more focused Google, has raised inevitable questions: ? What does Pichai?s role augur for the future of the tech giant? ? Will Google consolidate its position for existing products or will they focus on creating new ones? ? And will Pichai transform the organization that Schmidt, Page and Brin created and led, or confirm the belief of a minority of naysayers that he is not yet ready for this daunting role? Pichai: The Future of Google provides answers to these questions while throwing light on Sundar Pichai?s childhood and education; his entry into the tech world and quick rise up the ranks in Google; and his key contributions as a leader and tech-guru to Google?s most successful properties. Timely and insightful, this book offers a rare glimpse into the fascinating ecosystem of a path-breaking company and shows us what it takes to be a dynamic leader in the 21st century.
Author: Jean-Paul Brasselet
Author: Jean-Paul Brasselet
Author: Herbert Anderson
Author: Vladimir Koltchinskii
Author: John M. Connor
Author: John Bird
Author: William Gardiner
Author: Nicholas Wu
Author: Richard Stillwell
Author: Jagmohan Bhanver
Author: Sergio Benedetto