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The Basis Problem for Modular Forms on $\Gamma _0(N)$
The "basis problem'' for modular forms (of degree one) is to find a basis for a space of modular forms with elements whose Fourier coefficients can be computed explicitly. The authors give a general treatment for all cases. The main idea in the solution is to consider two kinds of forms: theta series associated with special order, and bases of primitive neben space.
The (p,n) Reaction and the Nucleon-Nucleon Force
This volume contains the proceedings of the "Conference on the (p,n) Reaction and the Nucleon-Nucleon Force" held in Telluride, Colorado, March 29-31, 1979. The idea to hold this conference grew out of a program at the Indiana University Cyclotron Facility to study the (p,n) reaction in the 50-200 MeV energy range. The first new Indiana data, in contrast to low energy data, showed features suggestive of a dominant one pion exchange interaction. It seemed desir able to review what was known about the fre·e and the effective nucleon-nucleon force and the connection between the low and high energy (p,n) data. Thus the conference was born. The following people served as the organizing committee...
The Phoebe A. Hearst Expedition to Naga ed-Deir, Cemeteries N 2000 and N 2500
The Phoebe A. Hearst Expedition to Naga ed-Deir, Cemeteries N 2000 and N 2500 presents the results of excavations directed by George A. Reisner and led by Arthur C. Mace. The site of Naga ed-Deir, Egypt, is unusual for its continued use over a long period of time (c. 3500 BCE–650 CE). Burials in N 2000 and N 2500 date to the First Intermediate Period/Middle Kingdom and the Coptic era. In keeping with Reisner’s earlier publications of Naga ed-Deir, this volume presents artifacts in chapter-length studies devoted to a particular object type and includes a burial-by-burial description. The excavators’ original drawings, notes, and photographs are complemented by a contemporary analysis of the objects by experts in their subfields.
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of cele...
Baby Boomer Rock 'n' Roll Fans
Based on 18 years of sociological research and 52 years of rock 'n' roll fandom, Baby Boomer Rock 'n' Roll Fans: The Music Never Ends draws on data collected from participant observations and interviews with artists, fans, and producers to explore our aging rock culture throug...
Smarandache N-subalgebras (resp. filters) of CI-algebras
In this paper, we introduce the notions of N-subalgebras and N-filters based on Smarandache CI-algebra and give a number of their properties.
New Strategies for N-Heterocyclic Carbenes Catalyzed Annulations
This thesis focuses on NHC-catalyzed annulation of nitroalkenes, enals and α,β-unsaturated carboxylic acids. (1) NHCs were found to be efficient catalysts for the [4+2] annulation of β-substituted nitroalkenes. The scope of Rauhut–Currier reaction was successfully extended to the most challenging β-substituted alkenes by this method; (2) Enals were successfully used for [4+2] annulations with azodicarboxylates catalyzed by NHC via γ-addition. Highly enantiopure tetrahydropyridazinones and γ-amino acid derivatives could be easily prepared by subsequent transformations of the resulting dihydropyridazinones. (4) The readily available α,β-unsaturated carboxylic acids were first successfully employed to generate the α,β-unsaturated acyl azolium intermediates by using NHC for the enantioselective [3+2] and [3+3] annulations.
