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121.
Piotr Niemiec 《Topology and its Applications》2006,153(18):3373-3382
Equicontinuous semigroups of transformations of a compact Hausdorff space and their sets of all invariant (Borel, regular and probabilistic) measures are studied. Conditions equivalent to the existence of at least one invariant measure are given. The (algebraic and topological) structure of the set of invariant measures is researched. 相似文献
122.
The problem of analytic representation of integrable CR functions on hypersurfaces with singularities is treated. The nature of singularities does not matter while the set of singularities
has surface measure zero. For simple singularities like cuspidal points, edges, corners, etc., also the behaviour of representing
analytic functions near singular points is studied.
Received: 8 December 2000; in final form: 24 June 2001/Published online: 1 February 2002 相似文献
123.
Shigeru Yamagami 《Journal of Pure and Applied Algebra》2002,167(1):83-128
A duality for orbifolds is presented as an application of group extensions in tensor categories. 相似文献
124.
采用从头算CCSD(T)/6-311 G(2d,2p)//B3LYP/6-311G(d,p)方法,研究了自由基-分子反应F CH2CHCH3的各种不同的反应通道.该反应主要是通过复合物形成机制进行,即F分别加到碳碳双键的两端形成自由基复合物1和2.这两种亚稳态自由基会解离成三种产物:H C3H5F、CH3 C2H3F和HF C3H5.理论计算结果表明,生成CH3 C2H3F是反应的主要通道,而生成H C3H5F和HF C3H5对产物也有一定的贡献.这一结果和实验符合得很好. 相似文献
125.
Diem Ho 《Numerische Mathematik》1989,56(7):721-734
Summary The acceleration by Tchebychev iteration for solving nonsymmetric eigenvalue problems is dicussed. A simple algorithm is derived to obtain the optimal ellipse which passes through two eigenvalues in a complex plane relative to a reference complex eigenvalue. New criteria are established to identify the optimal ellipse of the eigenspectrum. The algorithm is fast, reliable and does not require a search for all possible ellipses which enclose the spectrum. The procedure is applicable to nonsymmetric linear systems as well. 相似文献
126.
A complete optical characterization in the visible region of thin copper oxide films has been performed by ellipsometry. Copper
oxide films of various thicknesses were grown on thick copper films by low temperature thermal oxidation at 125 °C in air
for different time intervals. The thickness and optical constants of the copper oxide films were determined in the visible
region by ellipsometric measurements. It was found that a linear time law is valid for the oxide growth in air at 125 °C.
The spectral behaviour of the optical constants and the value of the band gap in the oxide films determined by ellipsometry
in this study are in agreement with the behaviour of those of Cu2O, which have been obtained elsewhere through reflectance and transmittance methods. The band gap of copper oxide, determined
from the spectral behaviour of the absorption coefficient was about 2 eV, which is the generally accepted value for Cu2O. It was therefore concluded that the oxide composition of the surface film grown on copper is in the form of Cu2O (cuprous oxide). It was also shown that the reflectance spectra of the copper oxide–copper structures exhibit behaviour
expected from a single layer antireflection coating of Cu2O on Cu.
Received: 19 July 2001 / Accepted: 27 July 2001 / Published online: 17 October 2001 相似文献
127.
Yuri Bilu 《Monatshefte für Mathematik》2002,137(1):1-3
We correct an inaccuracy in the papers of Le, Mignotte, and Bugeaud on the generalized Ramanujan-Nagell equation.
Received June 23, 2001 相似文献
128.
We describe a procedure for determining a few of the largest singular values of a large sparse matrix. The method by Golub and Kent which uses the method of modified moments for estimating the eigenvalues of operators used in iterative methods for the solution of linear systems of equations is appropriately modified in order to generate a sequence of bidiagonal matrices whose singular values approximate those of the original sparse matrix. A simple Lanczos recursion is proposed for determining the corresponding left and right singular vectors. The potential asynchronous computation of the bidiagonal matrices using modified moments with the iterations of an adapted Chebyshev semi-iterative (CSI) method is an attractive feature for parallel computers. Comparisons in efficiency and accuracy with an appropriate Lanczos algorithm (with selective re-orthogonalization) are presented on large sparse (rectangular) matrices arising from applications such as information retrieval and seismic reflection tomography. This procedure is essentially motivated by the theory of moments and Gauss quadrature.This author's work was supported by the National Science Foundation under grants NSF CCR-8717492 and CCR-910000N (NCSA), the U.S. Department of Energy under grant DOE DE-FG02-85ER25001, and the Air Force Office of Scientific Research under grant AFOSR-90-0044 while at the University of Illinois at Urbana-Champaign Center for Supercomputing Research and Development.This author's work was supported by the U.S. Army Research Office under grant DAAL03-90-G-0105, and the National Science Foundation under grant NSF DCR-8412314. 相似文献
129.
The qualitative behavior of buckled states of two different models of elastic beams is studied. It is assumed that random imperfections affect the governing nonlinear equations. It is shown that near the first critical value of the buckling load the stochastic bifurcation is described asymptotically by an algebraic equation whose coeffficients are Gaussian random variables. The corresponding asymptotic expansion for the displacement is to lowest order a Gaussian stochastic process.Work supported by NSF Grant No. DCR81-14726.Work supported by NSF Grant No. DMS87-01895. 相似文献
130.
Z. Sebestyén 《Periodica Mathematica Hungarica》1989,20(1):85-87
We prove, as an application of our positive extension argument, a theorem of Parrott concerning the quotient norm with respect to spaces of Hilbert space operators. 相似文献