Explicit Stationary Distribution of the （L, 1）-reflecting Random Walk on the Half Line

In this paper,we consider the（L,1） state-dependent reflecting random walk（RW） on the half line,which is an RW allowing jumps to the left at a maximal size L.For this model,we provide an explicit criterion for（positive） recurrence and an explicit expression for the stationary distribution.As an application,we prove the geometric tail asymptotic behavior of the stationary distribution under certain conditions.The main tool employed in the paper is the intrinsic branching structure within the（L,1）-random walk.     

On the Constant Metric Dimension of Generalized Petersen Graphs P（n, 4）

In this paper,we consider the family of generalized Petersen graphs P(n,4).We prove that the metric dimension of P(n,4) is 3 when n ≡ 0(mod 4),and is 4 when n = 4k + 3(k is even).For n ≡ 1,2(mod 4) and n = 4k + 3(k is odd),we prove that the metric dimension of P(n,4) is bounded above by 4.This shows that each graph of the family of generalized Petersen graphs P(n,4)has constant metric dimension.     

丹麦:童话之都

正伍丽青丹麦是北欧发达国家,气候温和宜人,一年四季都适合旅游。在丹麦,无论走到哪里,都能感受到那种激发安徒生创作美丽童话的氛围和景观。丹麦的乡村美丽宁静,众多的庄园和古城堡更为丹麦增添许多妩媚。中世纪风情的国徽丹麦国徽的历史可以追溯到12世     

一般化凸空间上截口定理及其对择一不等式的应用

我们根据一般化凸空间上的KKM型定理得到了截口定理,然后作为它的应用讨论了若干个择一不等式.最后,引进了一个具体的一般化凸空间并在该空间上讨论了择一不等式解的存在性问题.     

量子尺寸二氧化钛的制备与光谱表征

本文报道了一种通过直接解胶工业粉体制备 Ti O2 溶胶的新方法。利用 AFM测定溶胶粒子的尺寸 ,发现解胶溶液的酸度可以有效地控制溶胶粒子的尺寸。它们的吸收光谱显示了显著的量子尺寸效应 ,并且分别在 2 60 nm和 3 1 0 nm处出现了两个明显的激子峰。在它们的荧光光谱中 3 40 nm处出现一个由于表面 Ti OH基电子跃迁引起的强荧光峰 ,说明在这此溶胶胶粒表面存在着丰富的表面羟基。同时 ,通过理论物理模型讨论了其价带与粒子尺寸之间的关系。     

Cooling-induced increase of methane cluster size investigated under a Coulomb explosion scheme

In this letter, we discuss the increase in the average cluster size by lowering the stagnation temperature of the methane （CH4） gas. The Coulomb explosion experiments are conducted to estimate the cluster size and the size distribution. The average CH4 cluster sizes Nay of 6 230 and 6 580 are acquired with the source conditions of 30 bars at 240 K and 60 bars at 296 K, respectively. Empirical estimation suggests a five-fold increase in the average size of the CH4 clusters at 240 K compared with that at room temperature under a backing pressure of 30 bars. A strong nonlinear Hagena parameter relation （Г^＊∝ T0^-3.3） for the CH4 clusters is revealed. The results may be favorable for the production of large-sized clusters by using gases at low temperature and high back pressures.     

纳米微晶的制备及其性质研究

有机纳米微晶在纳米电子器件等方面具有应用前景, 已成为当前纳米科学的研究热点之一[1]. Nakanishi等[2,3]用再沉淀法制备出了有机纳米微晶, 但并未研究其生长机制和各种制备条件对生长过程的影响. 本文制备了不同粒径的纳米微晶, 研究了晶体结构和光谱性质的变化规律, 讨论了影响粒径大小和生长速率的因素, 为建立可行的有机微晶制备方法提供依据.     

Drop Size Dependence of the Contact Angle of Nanodroplets

The contact angle of nanosized non-polarized argon sessile droplets on a solid substrate is studied by using molecular dynamics simulations. It is found that the drop size dependence of the contact angle is sensitive to the interaction between the liquid molecules and solid molecules. The contact angle decreases with the decreasing drop size for larger interaction between the liquid molecules and the solid substrate, and vice versa. This observation is consistent with most of the previous theoretical and experimental results.     

关于算子连续映射

在算子开集理论中给出了算子拓扑空间的概念，并在该空间中讨论了算子连续映射，得到了算子连续映射的等价刻划。