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A Mathematical Theory of Evidence
Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamental. The book opens with a critique of the well-known Bayesian theory of epistemic probability. It then proceeds to develop an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set f...
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Special Matrices Of Mathematical Physics: Stochastic, Circulant And Bell Matrices
This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings.
Billboard
In its 114th year, Billboard remains the world's premier weekly music publication and a diverse digital, events, brand, content and data licensing platform. Billboard publishes the most trusted charts and offers unrivaled reporting about the latest music, video, gaming, media, digital and mobile entertainment issues and trends.
Carbon-Based Nanosensor Technology
Carbon nanomaterials have gained relevance in chem/bio sensing applications owing to their unique chemical, mechanical, electrical, and thermal characteristics. Written by leading experts in the field, this book discusses selected, state-of-the art carbon-based nanomaterials, including nanodiamonds, graphene nanodots, carbon nanopores, and nanocellulose. It presents examples of chem/bio sensing applications ranging from biomedical studies, such as DNA sequencing and neurotransmitter sensing, to heavy-metal detection in environmental monitoring scenarios, and reviews the unique properties of carbon-based nanomaterials with respect to targeted sensing applications. Further, it highlights exciting future applications. Providing comprehensive information for practitioners and scientists working in the field of carbon nanomaterial technologies and their application, it is also a valuable resource for advanced students of analytical chemistry, biochemistry, electrochemistry, materials science, and micro-/nanotechnology and -sensing.
