Multiple cover time

Motivated by applications in Markov estimation and distributed computing, we define the blanket time of an undirected graph G to be the expected time for a random walk to hit every vertex of G within a constant factor of the number of times predicted by the stationary distribution. Thus the blanket time is, essentially, the number of steps required of a random walk in order that the observed distribution reflect the stationary distribution. We provide substantial evidence for the following conjecture: that the blanket time of a graph never exceeds the cover time by more than a constant factor. In other words, at the cost of a multiplicative constant one can hit every vertex often instead of merely once. We prove the conjecture in the case where the cover time and maximum hitting time differ by a logarithmic factor. This case includes almost all graphs, as well as most “natural” graphs: the hypercube, k-dimensional lattices for k ≥ 2, balanced k-ary trees, and expanders. We further prove the conjecture for perhaps the most natural graphs not falling in the above case: paths and cycles. Finally, we prove the conjecture in the case of independent stochastic processes. © 1996 John Wiley & Sons, Inc. Random Struct. Alg., 9 , 403–411 (1996)     

Coexistence of the chaos and the periodic solutions in planar fluid flows

This paper discusses the dynamic behavior of the Kelvin-Stuart cat’s eye flow underperiodic perturbations.By means of the Melnikov method the conditions to havebifurcations to subharmonics of even order for the oscillating orbits and to have bifurcationsto subharmonics of any order for the rotating orbits are given,and further,the coexistencephenomena of the chaotic motions and periodic solutions are presented.     

Asymptotic solution of Brusselator limit cycle in biochemistry

In this paper,two kinds of asymptotic analytic expression of the Brusselator limitcycle are given by means of two simple methods.To some extem,they are better thanthe analytic expression in [2].     

Singular perturbation of boundary value problem for a vector fourth order nonlinear differential equation

We study the vector boundary value problem with boundary perturbations: ε~2y~((4))=f(x,y,y″,ε, μ) ( μ<χ<1-μ) y(χ,ε,μ)l_(χ-μ)= A_1(ε,μ), y(χ,ε,μ)l_(χ-1-μ)=B_1(ε,μ) y″(χ,ε,μ)l_(χ-μ)=A_2(ε,μ),y″(χ,ε,μ)l_(χ-1-μ)=B_2(ε,μ)where yf, A_j and B_j (j=1,2) are n-dimensional vector functions and ε,μ are two small positive parameters. This vector boundary value problem does not appear to have been studied, although the scalar boundary value problem has been treated. Under appropriate assumptions, using the method of differential inequalities we find a solution of the vector boundary value problem and obtain the uniformly valid asymptotic expansions.     

冻融循环后的型钢混凝土黏结滑移性能研究

冻融后型钢与混凝土间的黏结滑移对型钢混凝土结构在冻融环境下的受力性能具有重要影响,为了研究冻融循环后型钢混凝土的黏结强度与滑移特性,对9个常温及冻融后的型钢混凝土短柱试件进行推出试验.结果表明:冻融循环作用后,型钢混凝土各特征黏结承载力与特征黏结强度下降,而保护层厚度增加,使试件端部与柱身裂缝减少,试件的承载力提高.同时冻融前后的型钢混凝土荷载—滑移曲线与黏结—滑移曲线具有大致相同的形状,并在总结规律的基础上构建了冻融型钢混凝土的黏结-滑移本构模型.结合本次试验数据与以往常温及冻融后的型钢混凝土有关试验数据,回归得到冻融型钢混凝土的各黏结强度特征值与相应滑移计算方法,计算结果与试验数据符合性较好.     

电子垃圾污染的防治对策

面对越来越多的电子于垃圾,如何解决其污染问题,充分利用其中的宝贵资源,是摆在人们面前的一个不容忽视的环境问题。通过对电子产品废弃物的形成、所含的成分及其对环境的危害的分析与评估,提出了相应的防治建议及措施,以达到控制电子垃圾污染蔓延的趋势,减少对环境的破坏的目的。     

具有有限周期的无限布尔方阵的传递指数

给出了无限布尔方阵周期的概念,研究了无限布尔方阵伴随有向图的若干性质,研究了有限布尔矩阵幂的图论性质,最后给出了无限布尔方阵传递指数的上、下界估计.     

空气制冷机在食品冷冻中的应用分析

食品冷冻正朝着快速冻结的方向发展。传统的蒸汽压缩式制冷机受到制冷剂替代和制冷温度降低所带来的效率下降等方面约束,使得在低温下具有较高效率的空气制冷机有了生机。文中首先阐述了保证冻结食品质量的关键因素,介绍了可用于食品快速冻结的开式回冷低压直接吸热循环空气制冷机原理,进而分析了空气制冷机在食品快速冻结领域应用所具有的优势。     

非共沸混合工质自复叠热泵循环试验研究

单级压缩式热泵冷凝温度与蒸发温度之差一般为40~50℃,非共沸混合工质自复叠循环具有工作温差大的优点,将其应用于热泵循环,则可产生较大的供热温差。该文通过搭建一个空气源自复叠热泵实验台,利用NIST公司的制冷剂物性数据库Refprop7,绘制出了混合工质的温度-浓度图。经过实验,分析了自复叠热泵循环工作温差的影响因素,得出了自复叠热泵气液分离器简单分离对增大工作温差的作用有限,增加工质的相对挥发度也不能显著改善热泵的运行性能等结论。并进一步得出了增设分凝设施可显著增大工作温差的结论。     

The Effect of Dia2 Protein Deficiency on the Cell Cycle,Cell Size,and Recruitment of Ctf4 Protein in Saccharomyces cerevisiae

Cells have evolved elaborate mechanisms to regulate DNA replication machinery and cell cycles in response to DNA damage and replication stress in order to prevent genomic instability and cancer. The E3 ubiquitin ligase SCF^Dia2 in S. cerevisiae is involved in the DNA replication and DNA damage stress response, but its effect on cell growth is still unclear. Here, we demonstrate that the absence of Dia2 prolongs the cell cycle by extending both S- and G2/M-phases while, at the same time, activating the S-phase checkpoint. In these conditions, Ctf4—an essential DNA replication protein and substrate of Dia2—prolongs its binding to the chromatin during the extended S- and G2/M-phases. Notably, the prolonged cell cycle when Dia2 is absent is accompanied by a marked increase in cell size. We found that while both DNA replication inhibition and an absence of Dia2 exerts effects on cell cycle duration and cell size, Dia2 deficiency leads to a much more profound increase in cell size and a substantially lesser effect on cell cycle duration compared to DNA replication inhibition. Our results suggest that the increased cell size in dia2∆ involves a complex mechanism in which the prolonged cell cycle is one of the driving forces.