Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems (2版)

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【簡介】 This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the exposition and simplified proofs, as well as new results. The book starts with a thorough account of the generic chaining, a remarkably simple and powerful method to bound a stochastic process that should belong to every probabilist’s toolkit. The effectiveness of the scheme is demonstrated by the characterization of sample boundedness of Gaussian processes. Much of the book is devoted to exploring the wealth of ideas and results generated by thirty years of efforts to extend this result to more general classes of processes, culminating in the recent solution of several key conjectures. A large part of this unique book is devoted to the author’s influential work.While many of the results presented are rather advanced, others bear on the very foundations of probability theory. In addition to providing an invaluable reference for researchers, the book should therefore also be of interest to a wide range of readers.

American Empower B2 Upper Intermediate Student's Book with Digital Pack (1版)

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【簡介】 ■學生課本附線上帳號(拆封不退) ■CEFR Level: B2 ■適用程度: Upper Intermediate ■線上學習資源含課程音檔、課程影片、額外聽說讀寫及文法字彙練習 ■線上電子書平台網址：cambridgeone.org   ★購買提示 學生課本不含解答，如需解答者請購買教師手冊(9781108817325) 課堂使用或自修者建議搭配購買作業本(9781108817202) The Upper Intermediate Student's Book with Digital Pack provides clear learning objectives, core grammar and vocabulary input alongside a mix of skills. Speaking lessons offer a unique combination of functional language, pronunciation and conversation skills. Each unit ends with a consolidation of core language from the unit. This version of the Student's Book comes with access to a Digital Pack: Online Assessment, Digital Workbook, Class Audio, Documentary Video, Workbook Audio, and an eBook with audio, available on the Cambridge One platform.

American Empower B2 Upper Intermediate Teacher's Book with Digital Pack (1版)

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【簡介】 ■教師手冊附可下載教學資源(拆封不退) ■線上可下載教學資源包含：課本及作業本聽力音檔、額外學習單、課程影片、考題等 ■線上資源下載網址：cambridgeone.org The Upper Intermediate Teacher's Book with Digital Pack offers detailed teaching notes for every lesson of the Student's Book including extra activities at various stages of the lesson. The Digital Pack is available on Cambridge One and includes a Digital Workbook, Online Assessment, Class Audio, Workbook Audio and Documentary Video. It also includes extra photocopiable activities, providing fun, communicative practice of grammar, vocabulary, and pronunciation.

American Empower B2 Upper Intermediate Workbook with Answers (1版)

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【簡介】 　　■作業本含解答   The Upper Intermediate Workbook with answers can be used alongside the Student's Book and offers additional consolidation activities. Downloadable audio is available on Cambridge One.