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Illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their $L$-functions, and both local and global theory are addressed. Topics discussed in the articles include Langlands functoriality, the Rankin-Selberg method, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of $p$-adic groups, Plancherel formula and its consequences, and the Gross-Prasad conjecture.
The book deals with complexity, imprecision, human valuation, and uncertainty in spatial analysis and planning, providing a systematic exposure of a new philosophical and theoretical foundation for spatial analysis and planning under imprecision. Regional concepts and regionalization, spatial preference-utility-choice structures, spatial optimization with single and multiple objectives, dynamic spatial systems and their controls are analyzed in sequence.The analytical framework is based on fuzzy set theory. Basic concepts of fuzzy set theory are first discussed. Many numerical examples and empirical studies are provided to substantiate the theoretical arguments and empirical relevance of this approach.The book provides a more comprehensive perspective on uncertainty and a flexible framework for analysis in the real world, for problems such as commonly encountered spatial problems, urban and regional economic problems, and planning problems. Though the treatment is unconventional, it generally includes conventional analyses as special cases.
Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.
In this comprehensive resource the Editor draws together experts from the field and provides an insightful introduction into the technology and methodology.
This book contains 35 chapters written by experts in developing techniques for making aerial vehicles more intelligent, more reliable, more flexible in use, and safer in operation.It will also serve as an inspiration for further improvement of the design and application of aeral vehicles. The advanced techniques and research described here may also be applicable to other high-tech areas such as robotics, avionics, vetronics, and space.
This handbook comprehensively covers the rapidly evolving field of power generation using triboelectric nanogenerators. Since their emergence in 2012, triboelectric nanogenerators have experienced fast development both in fundamental science aspects and technological innovations resulting in a plethora of outstanding applications and commercial opportunities in e.g. micro-nano energy systems, self-powered sensors, blue energy, and high-voltage power sources. The Handbook of Triboelectric Nanogenerators provides an indispensable overview of the state of the art in the field. It begins with a review of the physical and technological fundamentals and provides detailed coverage of triboelectric ...
This self-contained text/reference provides a basic foundation for practitioners, researchers, and students interested in any of the diverse areas of multiscale (geo)potential theory. New mathematical methods are developed enabling the gravitational potential of a planetary body to be modeled using a continuous flow of observations from land or satellite devices. Harmonic wavelets methods are introduced, as well as fast computational schemes and various numerical test examples. Presented are multiscale approaches for numerous geoscientific problems, including geoidal determination, magnetic field reconstruction, deformation analysis, and density variation modelling With exercises at the end of each chapter, the book may be used as a textbook for graduate-level courses in geomathematics, applied mathematics, and geophysics. The work is also an up-to-date reference text for geoscientists, applied mathematicians, and engineers.