Описание: The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience.
Описание: The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience.
Автор: Pimentel R. Название: Mathematics: Extension 8 ISBN: 0521723817 ISBN-13(EAN): 9780521723817 Издательство: Cambridge Academ Рейтинг: Цена: 2822.00 р. Наличие на складе: Поставка под заказ.
Описание: Cambridge Essentials Mathematics Extension 8 Pupil Book is aimed at National Curriculum Levels 5-7. The book gives a map for the pupil and teacher of how to cover all aspects of the topic whilst focussing on delivering exercises with strong progression. The pupil CD-ROM replicates the book page with buttons acting as links to prior knowledge, keywords and explanations. Functional Maths questions are included at National Curriculum Level 6.
We present queueing-based algorithms to calculate the bandwidth required for a video stream so that the three main Quality of Service constraints, i.e., end-to-end delay, jitter and packet loss, are ensured.
Conversational and streaming video-based applications are becoming a major part of the everyday Internet usage. The quality of these applications (QoS), as experienced by the user, depends on three main metrics of the underlying network, namely, end-to-end delay, jitter and packet loss. These metrics are, in turn, directly related to the capacity of the links that the video traffic traverses from its source to destination. The main problem that this book addresses is how much bandwidth we should allocate on the path from source to destination of a video traffic flow such that the end-to-end delay, jitter and packet loss of the video packets are within some expected required bounds.
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