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Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms
The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $\operatorname{GL}(2)$ over $\mathbf{Q}$. The result is a variant which incorporates a Hecke eigenvalue in addition to two Fourier coefficients on the spectral side. The authors include a proof of a Weil bound for the generalized twisted Kloosterman sums which arise on the geometric side. As an application, they show that the Hecke eigenvalues of Maass forms at a fixed prime, when weighted as in the Kuznetsov formula, become equidistributed relative to the Sato-Tate measure in the limit as the level goes to infinity.
Elements of Applied Bifurcation Theory
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.
Formal Concept Analysis
Formal Concept Analysis (FCA) is a mathematical theory of concepts and c- ceptualhierarchyleadingtomethodsforconceptuallyanalyzingdataandkno- edge. The theoryitselfstronglyreliesonorderandlatticetheory,whichhasbeen studied by mathematicians over decades. FCA proved itself highly relevant in several applications from the beginning, and, over the last years, the range of applicationshaskeptgrowing. The mainreasonfor this comesfromthe fact that our modern society has turned into an “information” society. After years and years of using computers, companies realized they had stored gigantic amounts of data. Then, they realized that this data, just rough information for them, might become a re...
Formal Concept Analysis
This book constitutes the refereed proceedings of the 11th International Conference on Formal Concept Analysis, ICFCA 2013, held in Dresden, Germany, in May 2013. The 15 regular papers presented in this volume were carefully reviewed and selected from 46 submissions. The papers present current research from a thriving theoretical community and a rapidly expanding range of applications in information and knowledge processing including data visualization and analysis (mining), knowledge management, as well as Web semantics, and software engineering. In addition the book contains a reprint of the first publication in english describing the seminal stem-base construction by Guigues and Duquenne; and a position paper pointing out potential future applications of FCA.
Conceptual Structures: Broadening the Base
This book constitutes the refereed proceedings of the 9th International Conference on Conceptual Structures, ICCS 2001, held in Stanford, CA, USA in July/August 2001. The 26 revised full papers presented were carefully reviewed and selected for inclusion in the proceedings. The book offers topical sections on language and knowledge structures, logical and mathematical foundations of conceptual structures, conceptual structures for data and knowledge bases, conceptual structures and meta-data, and algorithms and systems.
Nuclear Science Abstracts
NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.
Alkane Functionalization
Presents state-of-the-art information concerning the syntheses of valuable functionalized organic compounds from alkanes, with a focus on simple, mild, and green catalytic processes Alkane Functionalization offers a comprehensive review of the state-of-the-art of catalytic functionalization of alkanes under mild and green conditions. Written by a team of leading experts on the topic, the book examines the latest research developments in the synthesis of valuable functionalized organic compounds from alkanes. The authors describe the various modes of interaction of alkanes with metal centres and examine theoxidative alkane functionalization upon C-O bond formation. They address the many types...
Novel Insights into the Circulation, Biogeochemistry, and Ecosystem Function of the Gulf of Mexico: A Perspective from Mexican Waters in Support of Oil Spill Preparedness
In response to the Deepwater Horizon oil spill in the Gulf of Mexico (GoM), and given the increased activities of the offshore oil industry, an international multidisciplinary consortium - the CIGOM Consortium - was funded by Mexico's Energy Secretariat (SENER) and its National Council for Science and Technology (CONACyT). Spanning 2015-2022, CIGOM's goals were to establish an environmental baseline to characterize the southern GOM’s natural variability and contribute to the understanding of ecosystem function, use cutting-edge technologies to observe the ocean, couple physical circulation and biogeochemical models to gain understating of oceanographic processes, generate oil spill scenarios using model ensembles and statistical techniques and conducting vulnerability assessments. Over 300 researchers participated in the CIGOM consortium's efforts.
Inductive Logic Programming
This book constitutes the refereed proceedings of the 15th International Conference on Inductive Logic Programming, ILP 2005, held in Bonn, Germany, in August 2005. The 24 revised full papers presented together with the abstract of 4 invited lectures were carefully reviewed and selected for inclusion in the book. The papers address all current topics in inductive logic programming, ranging from theoretical and methodological issues to advanced applications in various areas, also including more diverse forms of non-propositional learning.
