共查询到19条相似文献,搜索用时 93 毫秒
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In this paper, the concept of degree of compactness is introduced in the general framework of I-fuzzy topological spaces, and its property is discussed. All good compactness are generalized to I-fuzzy topological spaces accordingly. 相似文献
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王振宇 《数学物理学报(B辑英文版)》1985,(3)
D. E. Knuth in his book introduced the concept of degree path length of a tree, it is the sum, taken over all leaf nodes, of She internalnodes degree on the path from the leaf to the root. D. E. Knuth applied the concept to solve the problem of constructing good merge patterns for disk. Furthermore, he gave a theorem answering the question: what 相似文献
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ZhiqiangXu RenhongWang 《逼近论及其应用》2002,18(1):68-80
In this paper ,the dimension of the spaces of bivariate spline with degree less that 2r and smoothness order r on the Morgan-Scott triangulation is consdered.The concept of the instability degree in the dimension of spaces of bivariate spline is presented.The resulats in the paper make us conjecture the instability degree in the dimension of spaces of bivariate spline is infinity. 相似文献
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In this paper, the dimension of the spaces of bivariate spline with degree less that 2r and smoothness order r on the Morgan-Scott triangulation is considered. The concept of the instability degree in the dimension of spaces of bivariate spline is presented. The results in the paper make us conjecture the instability degree in the dimension of spaces of bivariate spline is infinity. 相似文献
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《分析论及其应用》2002,(1)
In this paper, the dimension of the spaces of bivariate spline with degree less that 2r and smoothness order r on the Morgan-Scott triangulation is considered. The concept of the instability degree in the dimension of spaces of bivariate spline is presented. The results in the paper make us conjecture the instability degree in the dimension of spaces of bivariate spline is infinity. 相似文献
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In this article, we focus on discussing the degree distribution of the DMS model from the perspective of probability. On the basis of the concept and technique of first-passage probability in Markov theory, we provide a rigorous proof for existence of the steady-state degree distribution, mathematically re-deriving the exact formula of the distribution. The approach based on Markov chain theory is universal and performs well in a large class of growing networks. 相似文献
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In recent years, F.E. Browder has constructed the topological degree for nonlinear monotone mappings.In the paper[1], we have introduced the classes of mappings of type (S)_ ~* and of type quasi-(S)_ ~* and the concept of weakly-demicontinuity and we have constructed the generalized topological degree for these classes of mappings. Some important results in [2] and [3] have 相似文献
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The cutwidth problem for a graph G is to embed G into a path such that the maximum number of overlap edges is minimized. This paper presents an approach based on the degree sequence of G for determining the exact value of cutwidth of typical graphs (e. g. , n-cube,cater-pillars). Relations between the cutwidth and other graph-theoretic parameters are studied as well. 相似文献
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潘祖梁 《数学物理学报(B辑英文版)》1984,(3)
In this paper,pseudopotential method is applied to KdV equation and higher degree KdV equation. For KdV equation we find the relative connection between pseudopotential and various travelling wave solutions of KdV equation, i. e. the discontinuous solution, the unbounded periodic solution and the soliton-like solution of KdV equation are determined by zero of pseudopotential function. The pseudopotential and solitary wave solution of the higher degree KdV equation and n-dimension higher degree KdV equation are presented. 相似文献
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在不分明化拓扑空间中,从pre-开集出发引入了强紧性的概念,并且给出了它的一些性质.这些概念的结合有助于我们对不分明化拓扑的研究. 相似文献
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借助于格L的蕴涵算子,在L-拓扑空间中引入了模糊集的α-紧度的概念.一个L-模糊集G是α-紧的当且仅当它的α-紧度coma(G)=(T).我们还研究了α-紧度的一系列性质. 相似文献
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F. Tardella 《Journal of Optimization Theory and Applications》1989,60(1):105-116
We study some topological properties of the vector sum of two sets, and we introduce the concept of strong cone compactness, a slightly strengthened version of the notion of cone compactness, which is used frequently in vector optimization. Furthermore, we establish a generalization of the well-known fact that the continuous image of a compact set is compact. 相似文献
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仿紧空间和S-闭空间的共同推广 总被引:3,自引:0,他引:3
李进金 《纯粹数学与应用数学》1999,15(2):62-64,61
定义了仿S紧空间的概念,它是仿紧空间和S-闭空间的共同推广,文中讨论了仿S紧密空间的一些性质,推广了仿紧空间和S-闭空间的部分结果。 相似文献
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Anders Holmbom Jeanette Silfver Nils Svanstedt Niklas Wellander 《Applications of Mathematics》2006,51(3):247-262
A general concept of two-scale convergence is introduced and two-scale compactness theorems are stated and proved for some
classes of sequences of bounded functions in L
2(Ω) involving no periodicity assumptions. Further, the relation to the classical notion of compensated compactness and the
recent concepts of two-scale compensated compactness and unfolding is discussed and a defect measure for two-scale convergence
is introduced. 相似文献
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Ginzburg-Landau minimizers with prescribed degrees. Capacity of the domain and emergence of vortices
Let Ω⊂R2 be a simply connected domain, let ω be a simply connected subdomain of Ω, and set A=Ω?ω. Suppose that J is the class of complex-valued maps on the annular domain A with degree 1 both on ∂Ω and on ∂ω. We consider the variational problem for the Ginzburg-Landau energy Eλ among all maps in J. Because only the degree of the map is prescribed on the boundary, the set J is not necessarily closed under a weak H1-convergence. We show that the attainability of the minimum of Eλ over J is determined by the value of cap(A)—the H1-capacity of the domain A. In contrast, it is known, that the existence of minimizers of Eλ among the maps with a prescribed Dirichlet boundary data does not depend on this geometric characteristic. When cap(A)?π (A is either subcritical or critical), we show that the global minimizers of Eλ exist for each λ>0 and they are vortexless when λ is large. Assuming that λ→∞, we demonstrate that the minimizers of Eλ converge in H1(A) to an S1-valued harmonic map which we explicitly identify. When cap(A)<π (A is supercritical), we prove that either (i) there is a critical value λ0 such that the global minimizers exist when λ<λ0 and they do not exist when λ>λ0, or (ii) the global minimizers exist for each λ>0. We conjecture that the second case never occurs. Further, for large λ, we establish that the minimizing sequences/minimizers in supercritical domains develop exactly two vortices—a vortex of degree 1 near ∂Ω and a vortex of degree −1 near ∂ω. 相似文献