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12.
赵林 《佛山科学技术学院学报(社会科学版)》1994,(4)
以直线上概率测度卷积半群的有关性质为基础,证明了半直线R+上的概率测度卷积半群(,*)的弱素元全体在(.*)中稠密及I0元全体在(,*)的无穷可分元全体中稠密.这些结果对广义卷积代数(,*)的半群结构的研究具有重要意义. 相似文献
13.
在圆柱坐标系中对径向不均匀媒质填充的矩形弯曲波导进行了研究。在截止频率上,波导中的电磁场可分解为E模和H模。利用摄动理论和低阶模近似,讨论了特征方程。研究表明,HE模和EH模在弱不均匀媒质和低阶模近似条件下是简并的。 相似文献
14.
汪文珑 《绍兴文理学院学报》2006,26(1):6-9,16
在C空间研究有界凸体迁移系统中一类单能、各向同性、非均匀介质的临界方程,使用Banach空间上的拟总体列紧算子理论,证明了近似计算临界尺寸及其相应的非负本征函数的离散纵标方法的收敛性. 相似文献
15.
倪仁兴 《绍兴文理学院学报》2007,27(8):1-11
设C是实Banach空间X中有界闭凸子集且0是C的内点,PC(·)是关于C的Minkowski泛函.设K是Banach空间X中非空闭的有界相对弱紧子集.对X中的点x,称最大化问题maxC(x,K)为适定的是指存在唯一的(z)∈K使得pC((z)-x)=uC(x,K)和每一满足limnn→∞pC(zn-x)=uC(x,K)的序列{zn}(∈)K均强收敛到(z),其中uC(x,K)=supz∈KpC(z-x).在C是严格凸和Kadec的假定下,证得了使得最大化问题maxC(x,k)为适定的所有x∈X的全体组成的集合X0(K)是X中的剩余集.进一步,如果关于Pc(·)的凸性模是严格正的,K是X中闭的有界子集,证明了集X\X0(K)是X中的σ-多孔集.这些本质地推广和延拓了包括De Blasi等,Fitzpatrick,Panda和Kapoor,Li和作者等人结果在内的近期相应结果. 相似文献
16.
讨论了一般弱交换富足序半群的结构.从弱交换序半群和富足序半群结构性质入手,解决了弱交换序半群与双阿基米德序半群的关系和结构特征,给出了弱交换富足序半群的一般结构定理. 相似文献
17.
Filipiak and Markiewicz (2012) proved the universal optimality of circular weakly neighbor balanced designs (CWNBDs) under the interference model with fixed neighbor effects among the class of complete block designs. In two special cases where a CWNBD cannot exist, Filipiak et al. (2012) characterized D-optimal designs. The aim of this paper is to show the universal optimality of CWNBDs and to characterize D-optimal designs under the interference model with random neighbor effects. 相似文献
18.
Antti J. Kanto 《统计学通讯:理论与方法》2013,42(20):2503-2510
The inverse autocorrelation function of a weakly stationary stochastic process Xt at lag h, γi h, is shown to equal the negative of the partial correlation between random variables Xt and Xt+h after elimination of the influence of random variables Xk, k≠t5,t+h. 相似文献
19.
Many neuroscience experiments record sequential trajectories where each trajectory consists of oscillations and fluctuations around zero. Such trajectories can be viewed as zero-mean functional data. When there are structural breaks in higher-order moments, it is not always easy to spot these by mere visual inspection. Motivated by this challenging problem in brain signal analysis, we propose a detection and testing procedure to find the change point in functional covariance. The detection procedure is based on the cumulative sum statistics (CUSUM). The fully functional testing procedure relies on a null distribution which depends on infinitely many unknown parameters, though in practice only a finite number of these parameters can be included for the hypothesis test of the existence of change point. This paper provides some theoretical insights on the influence of the number of parameters. Meanwhile, the asymptotic properties of the estimated change point are developed. The effectiveness of the proposed method is numerically validated in simulation studies and an application to investigate changes in rat brain signals following an experimentally-induced stroke. 相似文献
20.
The concept of neighbor designs was introduced and defined by Rees (1967) along with giving some methods of their construction. Henceforth, many methods of construction of neighbor designs as well as of their generalizations are available in the literature. However, there are only few results on their optimality. Therefore, the purpose of this article is to give an overview of study on this problem. Recent results on optimality of specified neighbor balanced designs under various interference models with block effects are presented and then these results are compared with respective models where block effects are not significant. 相似文献