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51.
姚永芳 《宁波大学学报(理工版)》2002,15(1):6-10
讨论了锥连续函数的性质,对锥连续向量函数最小化问题真有效解集的特征进行了研究,在此基础上讨论了锥连续锥凸函数的真有效解集的连通性。 相似文献
52.
Matthieu Micoulaut 《Comptes Rendus Chimie》2002,5(12)
We present in this article a theoretical approach describing the viscosity increase in an overmelt liquid as the result of an augmentation of covalent bonds in the glass network being created, by means of an agglomeration of well-defined structural entities. Thus, one can study the characteristic temperature of this agglomeration process, identified as the glass-transition temperature, as a function of the modifier rate in a binary system. Result analysis and comparison with experiment points out that connectedness (and the subjacent entropy of the glass network) control mainly the variation of the glass-transition temperature with the modifier rate. 相似文献
53.
类凸向量均衡问题弱有效解集的连通性 总被引:1,自引:1,他引:0
在拓扑线性空间中研究由关于第一个变量是弧类凹、关于第二个变量是类凸的映射所决定的向量均衡问题.在一定的紧性、凸性、与半连续性的条件下,给出了这类向量均衡问题弱有效解的存在性定理.利用向量均衡问题弱有效解的标量化的结果,得到了这类向量均衡问题弱有效解集的连通性结果. 相似文献
54.
与多目标规划问题的G恰当有效解相应,引进了集合的G恰当有效点的概念,并互研究了G恰当有效点集和G恰当有效解集的连通性.利用所得的结果,还获得多目标规划问题的Pareto有效解集是连通的一个新的结论。 相似文献
55.
We present a topological minimax theorem (Theorem 2.2). The topological assumptions on the spaces involved are somewhat weaker than those usually found in the literature. Even when reinterpreted in the convex setting of topological vector spaces, our theorem yields nonnegligible improvements, for example, of the Passy–Prisman theorem and consequently of the Sion theorem, contrary to most results on topological minimax. This work is part of our ongoing effort to elaborate a coherent theory of minimax. 相似文献
56.
LetZ
p
be the partition function over internal configurational degrees of freedom of ap-particle cluster. The existence of the limit, asp, of (p)–1 logZ
p
is demonstrated for the square, triangle, hexagon, simple cubic, face-centered cubic, and body-centered cubic lattice gas models, and for continuous space models with potentials satisfying stability and tempering conditions. Pairwise, finite-range bonding is assumed throughout.Supported in part by the Robert A. Welch Foundation. 相似文献
57.
R. S. Laugesen 《Journal of Fourier Analysis and Applications》2008,14(2):235-266
The affine synthesis operator
is shown to map the coefficient space ℓ
p
(ℤ+×ℤ
d
) surjectively onto L
p
(ℝ
d
), for p∈(0,1]. Here ψ
j,k
(x)=|det a
j
|1/p
ψ(a
j
x−k) for dilation matrices a
j
that expand, and the synthesizer ψ∈L
p
(ℝ
d
) need satisfy only mild restrictions, for example, ψ∈L
1(ℝ
d
) with nonzero integral or else with periodization that is real-valued, nontrivial and bounded below.
An affine atomic decomposition of L
p
follows immediately:
Tools include an analysis operator that is nonlinear on L
p
.
Laugesen’s travel was supported by the NSF under Award DMS–0140481. 相似文献
58.
Danica Jakubikova-Studenovska 《Czechoslovak Mathematical Journal》2005,55(4):1067-1078
The aim of the present paper is to describe all connected monounary algebras for which there exists a representation by means
of connected monounary algebras which are retract irreducible in the class
c (or in
).
This work was supported by the Slovak Grant VEGA 1/0423/03. 相似文献
59.
Alexander A. Ivanov 《Journal of Algebraic Combinatorics》1992,1(1):45-69
The sporadic simple group F
2 known as Fischer's Baby Monster acts flag-transitively on a rank 5 P-geometry
. P-geometries are geometries with string diagrams, all of whose nonempty edges except one are projective planes of order 2 and one terminal edge is the geometry of the Petersen graph. Let
be a flag-transitive P-geometry of rank 5. Suppose that each proper residue of
is isomorphic to the corresponding residue in
. We show that in this case
is isomorphic to
. This result realizes a step in classification of the flag-transitive P-geometries and also plays an important role in the characterization of the Fischer–Griess Monster in terms of its 2-local parabolic geometry. 相似文献
60.
QIANShang-Wu GUZhi-Yu 《理论物理通讯》2003,40(3):329-331
This article shows that in Aharonov-Bohm (AB) effect arrangements, the electron wave propagation space is doubly connected for two real coherent sources, and simply connected under certain condition for two virtual coherent sources, and all known AB experiments belong to the latter case. By the Feynman path integral method, we show that in the former case there is no AB effect, whereas in the latter case there is. 相似文献