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61.
Vsevolod F. Lev 《Combinatorica》1996,16(4):587-590
In this note the method of [5] and a result from [3] are combined to treat the following classical problem: Given a finite setA and an infinite sequenceS (both inZ), what is the minimal number of elements ofA whose sum lies inS? We obtain an upper bound depending only on the densities ofA andS (but not on their arithmetic nature). 相似文献
62.
Sisto Baldo Giandomenico Orlandi 《Calculus of Variations and Partial Differential Equations》1996,4(4):369-384
We define a class
p
(M,N) of Sobolev maps from a manifoldM into a manifoldN, in such a way that each mapu
p
(M, N) has a well defined [p]-homotopy type, providedN satisfies a topological hypothesis. Using this, we prove the existence of minimizers in [p]-homotopy classes for some polyconvex variational problems. 相似文献
63.
Yong Zhang 《Order》1996,13(4):365-367
G. Grätzer, H. Lakser, and E. T. Schmidt proved that every distributive lattice with n join-irreducible elements can be represented as the congruence lattice of a small lattice L, that is, a lattice L with O(n
2
) elements. G. Grätzer, I. Rival, and N. Zaguia proved that, for any <2, O(n
2
) can not be improved to O(n
). In this note we show that the theorem about small representation can be improved further to get a more delicate result. 相似文献
64.
Huzihiro Araki 《Letters in Mathematical Physics》1996,38(4):399-410
Continuing the earlier work on soliton sectors, we determine all finite energy representations of the XY model for almost all parameter values. In the interior of unique vacuum regions of parameters (i.e. the large external magnetic field region ||>1), the unique irreducible vacuum representation is the only finite energy representation.At the critical values of the parameters (||=1 as well as theXY symmetric case =0, ||1), there is an infinite number of mutually nonequivalent irreducible finite energy representations. Apart from the unique irreducible ground state representation and another associated irreducible representation, these infinite number of representations arise from an infinite number of nearly zero energy excitations of the ground state with a finite total energy and may be called infrared representations.In the remaining cases, as have been studied earlier, there are two additional irreducible finite energy representations besides two irreducible ground state representations and they are topological soliton sectors with different ground state limits in positive and negative spatial infinity. (For two exceptional values of parameters (, )=(0, ±1), they also become ground state representations.) 相似文献
65.
用B样条曲线构造几何物体模型的方法 总被引:2,自引:1,他引:1
根据B样条曲线原理,提出了先用若干个截平面去切割几何物体,得到一组与几何物体轮廓线相交的点。根据这些点,再用B样条曲线去构造几何物体的近似轮廓线,从而得到几何物体模型。该方法方便、精确,便于在计算机几何造型系统中应用。 相似文献
66.
周巍 《太原理工大学学报》1998,29(3):256-259
所论系统的控制由两个神经网络完成,即对象放识器和系统控制器。并且提出了一种 新的学习算法,它能利用存贮于辨识网络的信息改进控制策略。该控制系统可以对非线性系统,不确定系统等进行无监督的学习控制。 相似文献
67.
A.K. Tashmukhamedova I.A. Stempnevskaya 《Journal of inclusion phenomena and macrocyclic chemistry》1998,30(2):91-98
The effect of the nature of the substituent in the monosubstituted derivatives of dibenzo-18-crown-6 on the reactivity and direction of the electrophilic substitution reaction of the unsubstituted benzene ring has been determined. This transfer is carried out via the macrocycle and therefore is called transannular transmission. The possible mechanism of this transmission is discussed. 相似文献
68.
We consider a class of vertex models describing directed lines on a lattice in arbitraryd dimensions, and solve the model exactly for the Cartesian lattice and in the case that each loop of lines carries a fugacity - 1. Our analysis, which can be carried out for arbitrary lattices, is based on an equivalence of the vertex model with a dimer problem. The dimer problem is, in turn, solved using the method of Pfaffians. It is found that the system is frozen below a critical temperatureT
cwith the critical exponent = (3 –d)/2. 相似文献
69.
The property of self-adjointness of the operatorQ =a
+ +a
- in three types ofq-oscillator algebras is considered. Spectral measures and generalized eigenfunctions ofQ are found in the cases when this operator is bounded. Generalized eigenvectors are expressed in terms ofq-Hermite polynomials. If the operatorQ is unbounded, then its closure
is not self-adjoint. However, in this case,
admits self-adjoint extensions. Deficiency subspaces are one-dimensional. These subspaces are explicitly found. 相似文献
70.
Robert D. Skeel 《BIT Numerical Mathematics》1993,33(1):172-175
For fixed step-sizeh the Störmer method is stable for the standard test equationÿ=
2
y,>0, if and only ifh<2. We show that for variable step sizeh
n there does not exist a (positive) limit onh which ensures stability. Nor can we guarantee stability if, in addition, we limit the step size ratioh
n/h
n–1.This work was supported in part by National Science Foundation Grant DMS 90 15533. 相似文献