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Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration

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Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi-Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.

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Machine Learning with R - Second Edition
Machine Learning with R - Second Edition

Key Features

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Book Description

Machine learning, at its core, is concerned...

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The fifth edition continues to provide a balance between theory and practice. Volume 1 discusses ship geometry and
...

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The Rational Unified Process, Third Edition, is a concise introduction to IBM's Web-enabled software engineering process. Rational Unified Process®, or RUP®, Lead Architect Philippe Kruchten quickly and clearly describes the concepts, structure, content, and motivation that are central to the RUP. Readers will...


Radical Embodied Cognitive Science (Bradford Books)
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How To Do Everything with JavaScript
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have some experience with that
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The growth of the internet has been spectacular. There are now more 1.5 billion internet users across the globe, about one quarter of the world’s population. This is certainly a new phenomenon that is of enormous significance for the economic, political and social life of contemporary societies.

However, much popular and...

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