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排序方式: 共有9105条查询结果,搜索用时 625 毫秒
991.
In a previous paper, the author introduced a class of multivariate rational interpolants, which are called optimal Padé-type approximants (OPTA). The main goal of this paper is to extend classical results on convergence both in measure and in capacity of sequences of Padé approximants to the multivariate case using OPTA. To this end, we obtain some estimations of the size of multivariate polynomial lemniscates in terms of the Hausdorff content, which we also think are of some interest. 相似文献
992.
L.I. Danilov 《Journal of Mathematical Analysis and Applications》2006,316(1):110-127
We prove that Weyl almost periodic multivalued maps R∋t→F(t)∈clU have Weyl almost periodic selections, where clU is the collection of non-empty closed sets of a complete metric space U. 相似文献
993.
T. Komatsu 《Lithuanian Mathematical Journal》2006,46(4):417-431
The tanh-type, tan-type, and e-type Hurwitz continued fractions have been generalized by the author. In this paper, we study a generalized form
of e2-type Hurwitz continued fractions by using confluent hypergeometric functions. We also obtain a similar type of Tasoev continued
fractions.
Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 4, pp. 513–531, October–December, 2006. 相似文献
994.
YANG Shouzhi & PENG Lizhong Department of Mathematics Shantou University Shantou China LMAM School of Mathematical Sciences Peking University Beijing China 《中国科学A辑(英文版)》2006,49(1):86-97
An algorithm is presented for raising an approximation order of any given orthogonal multiscaling function with the dilation factor a. Let φ(x) = [φ1(x),φ2(x),…,φr(x)]T be an orthogonal multiscaling function with the dilation factor a and the approximation order m. We can construct a new orthogonal multiscaling function φnew(x) = [ φT(x). f3r 1(x),φr 2(x),…,φr s(x)}T with the approximation order m L(L ∈ Z ). In other words, we raise the approximation order of multiscaling function φ(x) by increasing its multiplicity. In addition, we discuss an especial setting. That is, if given an orthogonal multiscaling function φ(x) = [φ1 (x), φ2(x), …, φr(x)]T is symmetric, then the new orthogonal multiscaling function φnew(x) not only raise the approximation order but also preserve symmetry. Finally, some examples are given. 相似文献
995.
The kernel energy method (KEM) has been illustrated with peptides and has been shown to reduce the computational difficulty associated with obtaining ab initio quality quantum chemistry results for large biological compounds. In a recent paper, the method was illustrated by application to 15 different peptides, ranging in size from 4 to 19 amino acid residues, and was found to deliver accurate Hartree–Fock (HF) molecular energies within the model, using Slater‐type orbital (STO)‐3G basis functions. A question arises concerning whether the results obtained from the use of KEM are wholly dependent on the STO‐3G basis functions that were employed, because of their relative simplicity, in the first applications. In the present work, it is shown that the accuracy of KEM does not depend on a particular choice of basis functions. This is done by calculating the ground‐state energy of a representative peptide, ADPGV7B, containing seven amino acid residues, using seven different commonly employed basis function sets, ranging in size from small to medium to large. It is shown that the accuracy of the KEM does not vary in any systematic way with the size or mathematical completeness of the basis set used, and good accuracy is maintained over the entire variety of basis sets that have been tested. Both approximate HF and density functional theory (DFT) calculations are made. We conclude that the accuracy inherent in the KEM is not dependent on a particular choice of basis functions. The first application, to 15 different peptides mentioned above, employed only HF calculations. A second question that arises is whether the results obtained with the use of KEM will be accurate only within the HF approximation. Therefore, in the present work we also study whether KEM is applicable across a variety of quantum computational methods, characterized by differing levels of accuracy. The peptide, Zaib4, containing 74 atoms, was used to calculate its energy at seven different levels of accuracy. These include the semi‐empirical methods, AM1 and PM5, a DFT B3LYP model, and ab initio HF, MP2, CID, and CCSD calculations. KEM was found to be widely applicable across the spectrum of quantum methods tested. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006 相似文献
996.
Densities (ρ) of glycine, L-alanine, and L-valine in aqueous solutions of MgCl2-6H2O (0.1-0.8 mol kg-1) have been measured at 288.15, and 308.15 K. Apparent molar volumes (V
φ), and limiting partial molar volumes (V
φ
0
) of each amino acid have been calculated. These data were combined with the earlier reportedV
φ
0
values of glycine, L-alanine, and L-valine in aqueous MgCl2·6H2O solutions at 298.15 K in order to describe the temperature dependence behaviour of partial molar quantities. Group contributions
to partial molar volumes have been determined for the amino acids. The trends of transfer volumes (△V
φ
0
) have been interpreted in terms of solute-cosolute interactions on the basis of a cosphere overlap model. Pair and triplet
interaction coefficients have also been calculated from transfer parameters. 相似文献
997.
检测线性函数与线性变量的表格方法 总被引:1,自引:1,他引:0
讨论了线性函数、部分线性函数和线性变量的定义、性质和定理,提出了检测基于最小项展开的逻辑函数的线性变量与线性函数的表格方法.提出了直接从RM型逻辑函数的Reed-Muller展开出发以及直接从OC型OC展开出发检测RM型逻辑函数和OC型逻辑函数的线性变量及线性函数的表格方法.文中提出的表格方法具有简单、方便和易于计算机编程操作等优点. 相似文献
998.
Making use of the idea of synthetic discriminant functions (SDF), a simple way to synthesize a shift, rotation and limited size correlation filter is proposed. The SDF is synthesized by superimposing four 2nd order circular harmonics of a training reference pattern in 4 different sizes. Computer simulation experiments have shown that the filter is indeed shift, full rotation and limited size invariant over a size range from 1 to 1.82. The invariant range can be increased if more training patterns are used. 相似文献
999.
Anton STEFANESCU 《数学学报(英文版)》2007,23(4):677-684
The paper produces new versions of the minimax theorem based on original conditions. Moreover, we investigate not only the sufficiency, but also the necessity of such conditions. The proofs are very simple and preclude any topological technique. 相似文献
1000.
In this paper, the p-version hybrid/mixed finite element formulation using the Hu–Washizu principle is presented. The shape functions are assumed to be hierarchical for the displacement variables. The stresses and the strains are interpolated using Legendre polynomials so that the computation of the stiffness matrix will be simplified. For 2-D problems, the higher-order hierarchical shape functions start following the 8-node, quadrilateral shape functions. The geometry mapping of each element is also performed using an 8-node parametric mapping. Numerical examples for a plate with a circular hole and circular inclusion are included. 相似文献