共查询到20条相似文献,搜索用时 31 毫秒
1.
C. Jayaram 《Czechoslovak Mathematical Journal》2004,54(1):119-130
In this paper we establish some conditions for an almost -domain to be a -domain. Next -lattices satisfying the union condition on primes are characterized. Using these results, some new characterizations are given for -rings. 相似文献
2.
In this paper, we present a basic theory of mean-square almost periodicity, apply the theory in random differential equation, and obtain mean-square almost periodic solution of some types stochastic differential equation. 相似文献
3.
A subset A of a topological space is said to be -open [1] if A Cl(Int(Cl(A))). A function f : X Y is said to be almost -continuous [18] if for each point x X and each open neighbourhood V of f(x) there exists a -open set U containing x such that f(U) Int(Cl(V)). Some new characterizations and several fundamental properties are obtained. 相似文献
4.
Beceren et al. [2] introduced and investigated a new class of functions called almost strongly -semi-continuous functions. The purpose of this paper is to investigate some more properties of these functions. It is shown that these functions are weaker than strongly -semi-continuous functions and stronger than -semi-continuous functions. 相似文献
5.
Let R be a ring. It is well-known that R is a semigroup with respect to the composition a b=a b-ab for a,b∈R. An element a of R is said to be (right; left) quasi-regular if there exists an element b in R such that (a b=0; 相似文献
6.
Given any natural numberd, 0<<1, letf
d
() denote the smallest integerf such that every range space of Vapnik-Chervonenkis dimensiond has an-net of size at mostf. We solve a problem of Haussler and Welzl by showing that ifd2, then
相似文献
7.
By constructing Liapunov functions and building a new inequality, we obtain two kinds of sufficient conditions for the existence and global exponential stability of almost periodic solution for a Hopfield-type neural networks subject to almost periodic external stimuli. In this paper, we assume that the network parameters vary almost periodically with time and we incorporate variable delays in the processing part of the network architectures. 相似文献
8.
9.
Tao Zheng 《Journal of Geometric Analysis》2018,28(3):2129-2165
We consider the evolution of an almost Hermitian metric by the (1, 1) part of its Chern–Ricci form on almost complex manifolds. This is an evolution equation first studied by Chu and coincides with the Chern–Ricci flow if the complex structure is integrable and with the Kähler–Ricci flow if moreover the initial metric is Kähler. We find the maximal existence time for the flow in term of the initial data and also give some convergence results. As an example, we study this flow on the (locally) homogeneous manifolds in more detail. 相似文献
10.
In studying a dynamical system, one finds that there frequently exist some pertur-bations or false phenomena. In order to exclude them, we introduce the notion ofmeasure centre which is defined as the least compact invariant absolutely measure 1set. According to the ergodic theory, all of the important dynamical behaviors of asystem are embeded over its measure centre. In order to determine the structure of 相似文献
11.
T. Noiri 《Acta Mathematica Hungarica》1999,82(3):193-205
We introduce a new class of functions called almost g-closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost g-closed continuous surjections. 相似文献
12.
13.
J. Flesch F. Thuijsman O. J. Vrieze 《Journal of Optimization Theory and Applications》2000,105(2):371-389
We show the existence of almost stationary -equilibria, for all > 0, in zero-sum stochastic games with finite state and action spaces. These are -equilibria with the property that, if neither player deviates, then stationary strategies are played forever with probability almost 1. The proof is based on the construction of specific stationary strategy pairs, with corresponding rewards equal to the value, which can be supplemented with history-dependent -optimal strategies, with small > 0, in order to obtain almost stationary -equilibria. 相似文献
14.
In this paper, the authors define a multifunction F : X Y to be upper (lower) almost -continuous if F+(V) (F- (V)) is -open in X for every regular open set V of Y. They obtain some characterizations and several properties concerning upper (lower) almost -continuous multifunctions. 相似文献
15.
LU Chuanrong QIU Jin & XU Jianjun School of Mathematics Statistics Zhejiang University of Finance Economics Hangzhou China Department of Mathematics Zhejiang University Hangzhou China 《中国科学A辑(英文版)》2006,49(12):1788-1799
Let {Xn,-∞< n <∞} be a sequence of independent identically distributed random variables with EX1 = 0, EX12 = 1 and let Sn =∑k=1∞Xk, and Tn = Tn(X1,…,Xn) be a random function such that Tn = ASn Rn, where supn E|Rn| <∞and Rn = o(n~(1/2)) a.s., or Rn = O(n1/2-2γ) a.s., 0 <γ< 1/8. In this paper, we prove the almost sure central limit theorem (ASCLT) and the function-typed almost sure central limit theorem (FASCLT) for the random function Tn. As a consequence, it can be shown that ASCLT and FASCLT also hold for U-statistics, Von-Mises statistics, linear processes, moving average processes, error variance estimates in linear models, power sums, product-limit estimators of a continuous distribution, product-limit estimators of a quantile function, etc. 相似文献
16.
William Stout 《Probability Theory and Related Fields》1979,49(1):23-32
Summary Let {Y
i} be iid with EY
1=0, EY
1
2
=1. Let {Xi} be iid normal mean zero, variance one random variables. According to Strassen's first almost sure invariance principle {X
i} and {Y
i} can be reconstructed on a new probability space without changing the distribution of each sequence such that
a.s., thus improving on the trivial bound obtainable from the law of the iterated logarithm:
a.s. In this work we establish analogous improvements for symmetric {Y
i} in the domain of normal attraction to a symmetric stable law with index 0<<2. (We make this assumption of symmetry in order to avoid messy details concerning centering constants.) Let {X
i} be iid symmetric stable random variables with index 0<<2. Then, for example, hypotheses are stated which imply for a given satisfying 2> that
a.s., thus improving on the trivial bound:
a.s., >0.This research was supported in part by a National Science Foundation grant, USA 相似文献
17.
18.
Yuguang ZHANG 《数学年刊B辑(英文版)》2007,28(4):421-428
Compact Kähler manifolds with semi-positive Ricci curvature have been investigated by various authors. From Peternell’s work, if M is a compact Kähler n-manifold with semi-positive Ricci curvature and finite fundamental group, then the universal cover has a decomposition \( \ifmmode\expandafter\tilde\else\expandafter\~\fi{M} \cong X_{1} \times \cdots \times X_{m} \), where X j is a Calabi-Yau manifold, or a hyperKähler manifold, or X j satisfies H 0(X j , Ω p ) = 0. The purpose of this paper is to generalize this theorem to almost non-negative Ricci curvature Kähler manifolds by using the Gromov-Hausdorff convergence. Let M be a compact complex n-manifold with non-vanishing Euler number. If for any ∈ > 0, there exists a Kähler structure (J ∈, g ∈) on M such that the volume \({\text{Vol}}_{{g_{ \in } }} {\left( M \right)} < V\), the sectional curvature |K(g ∈)| < Λ2, and the Ricci-tensor Ric(g ∈)> ?∈g ∈, where V and Λ are two constants independent of ∈. Then the fundamental group of M is finite, and M is diffeomorphic to a complex manifold X such that the universal covering of X has a decomposition, \( \ifmmode\expandafter\tilde\else\expandafter\~\fi{X} \cong X_{1} \times \cdots \times X_{s} \), where X i is a Calabi-Yau manifold, or a hyperKähler manifold, or X i satisfies H 0(X i , Ω p ) = {0}, p > 0. 相似文献
19.
Deng Guantie 《东北数学》1998,(1)
in this paper, we obtain the calculating formulas for Bouligand dimension offractal curves represented by some almost periodic function series. 相似文献
20.
We study almost K?hler-Einstein structures on 8-dimensional Walker manifolds, i.e., pseudo-Riemannian 8-manifolds admitting
a field of parallel null 4-planes, whence the metric is of neutral signature. We construct on
explicit almost K?hler-Einstein Walker metrics which are not K?hler. An appropriate restriction induces examples of such
metrics on the 8-torus, thereby producing a counterexample to Goldberg’s conjecture in the case of neutral signature.
S. Haze passed away on 15 March 2006. 相似文献
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