A Random Collection Of Events
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A First Look at Rigorous Probability Theory
This textbook is an introduction to rigorous probability theory using measure theory. It provides rigorous, complete proofs of all the essential introductory mathematical results of probability theory and measure theory. More advanced or specialized areas are entirely omitted or only hinted at. For example, the text includes a complete proof of the classical central limit theorem, including the necessary continuity theorem for characteristic functions, but the more general Lindeberg central limit theorem is only outlined and is not proved. Similarly, all necessary facts from measure theory are proved before they are used, but more abstract or advanced measure theory results are not included. Furthermore, measure theory is discussed as much as possible purely in terms of probability, as opposed to being treated as a separate subject which must be mastered before probability theory can be understood.
Heterogeneous Combustion
Progress in Astronautics and Aeronautics—Volume 15: Heterogeneous Combustion focuses on the processes, reactions, methodologies, and techniques involved in heterogeneous combustion. The selection first offers information on the techniques for the study of combustion of beryllium and aluminum particles, study of quenched aluminum particle combustion, and spectroscopic investigation of metal combustion. Discussions focus on the combustion of metal particles in a hot oxidizing atmosphere, experimental apparatus and procedure, selected examples of residue observations, ignition of beryllium, and photographic study of particle combustion. The text then takes a look at the analytical developments, experimental observations in oxygen atmospheres, and experimental observations in carbon dioxide atmospheres of vapor-phase diffusion flames in the combustion of magnesium and aluminum. The publication ponders on the combustion of elemental boron with fluorine, combustion of pyrolytic boron nitride, characteristics of diborane flames, oxidation of diethyldiborane, and reaction of pentaborane and hydrazine and structure of the adduct. The selection is a dependable reference for readers interested in heterogeneous combustion.
Vector Quantization and Signal Compression
Author: Allen Gersho
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Herb Caen, a popular columnist for the San Francisco Chronicle, recently quoted a Voice of America press release as saying that it was reorganizing in order to "eliminate duplication and redundancy. " This quote both states a goal of data compression and illustrates its common need: the removal of duplication (or redundancy) can provide a more efficient representation of data and the quoted phrase is itself a candidate for such surgery. Not only can the number of words in the quote be reduced without losing informa tion, but the statement would actually be enhanced by such compression since it will no longer exemplify the wrong that the policy is supposed to correct. Here compression can streamline the phrase and minimize the em barassment while improving the English style. Compression in general is intended to provide efficient representations of data while preserving the essential information contained in the data. This book is devoted to the theory and practice of signal compression, i. e. , data compression applied to signals such as speech, audio, images, and video signals (excluding other data types such as financial data or general purpose computer data). The emphasis is on the conversion of analog waveforms into efficient digital representations and on the compression of digital information into the fewest possible bits. Both operations should yield the highest possible reconstruction fidelity subject to constraints on the bit rate and implementation complexity.