A counterexample is any example or result that is the opposite of one's intuition or to commonly held beliefs. Counterexamples can have great educational value in illuminating complex topics that are difficult to explain in a rigidly logical, written presentation. For example, ideas in mathematical sciences that might seem intuitively obvious may be proved incorrect with the use of a counterexample. This monograph concentrates on counterexamples for use at the intersection of probability and real analysis, which makes it unique among such treatments. The authors argue convincingly that probability theory cannot be separated from real analysis, and this book contains over 300 examples related to both the theory and application of mathematics. Many of the examples in this collection are new, and many old ones, previously buried in the literature, are now accessible for the first time. In contrast to several other collections, all of the examples in this book are completely self-contained--no details are passed off to obscure outside references. Students and theorists across fields as diverse as real analysis, probability, statistics, and engineering will want a copy of this book.
Intellectual Property Litigation: Pretrial Practice, Third Edition offers up-to-date, comprehensive case analysis and a clear framework for streamlining the procedural requirements and issues involved in resolving patent disputes. You'll find unparalleled analysis of crucial procedures and guiding case law on key phases of pretrial litigation practice including: preliminary injunction, bifurcation, discovery, summary judgment, and more. With Intellectual Property Litigation, youand’ll learn cutting-edge, evidence-based practices to establish facts, test the sufficiency of your opponentand’s case, commit your opponent to a position, and focus the issues toward your advantage. This must-have resource provides expert guidance and in-depth case analysis to pave your way through complex intellectual property litigation, including: How to use injunctive relief, bifurcation, discovery, and summary judgment to resolve disputes The best methods for protecting sensitive information from discovery Recognizing and using the claims and defenses commonly encountered in patent litigation Recent Federal Circuit and Supreme Court cases on the evolving standards for invalidating patents And much more!
The most comprehensive and up-to-date optics resource available Prepared under the auspices of the Optical Society of America, the five carefully architected and cross-referenced volumes of the Handbook of Optics, Third Edition, contain everything a student, scientist, or engineer requires to actively work in the field. From the design of complex optical systems to world-class research and development methods, this definitive publication provides unparalleled access to the fundamentals of the discipline and its greatest minds. Individual chapters are written by the world's most renowned experts who explain, illustrate, and solve the entire field of optics. Each volume contains a complete chapter listing for the entire Handbook, extensive chapter glossaries, and a wealth of references. This pioneering work offers unprecedented coverage of optics data, techniques, and applications. Volume V covers atmospheric optics, modulators, fiber optics, and x-ray and neutron optics.
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