粘性导电流体在磁场作用下流过多孔通道时传热传质振荡流的数值解——用于病理状态动脉中血液的流动

当血管内壁出现多孔性结构时,流过多孔性血管的血液将作不稳定的MHD流动.研究血液在其中的传热传质问题,考虑了与时间相关的渗透率和振荡引起的吸入速度,并数值地求解该问题.对分析中出现的参数取不同数值时,图形给出了速度、温度、浓度场,以及表面摩擦因数、Nusselt数和Sherwood数的计算结果.研究表明,血液流动受磁场和Grashof数的影响明显.     

伴有化学反应的磁流体传热传质混合对流流经吸入/喷出多孔楔形体时的局部非相似解

研究伴有化学反应的流经多孔楔形体的,传热传质磁流体的自由、受迫和混合对流.使用结合打靶法的Runge-Kutta-Gill方法,和直到3阶截断误差的局部非相似法,将偏微分的控制方程简化为9个常微分方程.通过Falkner-Skan变换,将边界层控制方程表示为无量纲形式.由于楔形体壁面的吸入/喷出,以及可变的壁面温度和浮力的影响,使得流场呈局部非相似性.就一些特定的无量纲参变数,给出具有3阶截断误差的数值计算.图形显示可变壁面温度和浓度条件下,伴有化学反应时磁场强度对无量纲速度、温度和浓度分布的影响.     

文丘里面罩加温湿化法在气管切开脱机患者氧疗中的应用

正常人体上呼吸道对吸入气体有加温、湿化和过滤作用,保证气道黏膜纤毛正常活动,从而起到气管自净作用。在温度37℃、相对湿度100％的情况下,黏液可保持适当的黏度。气管切开患者机械通气期间,南于呼吸机本身携带湿化器,可以满足患者气道湿化的要求,但此类患者多数需要反复间断的进行脱机锻炼直至最后完全撤机,部分患者虽无需呼吸机帮助,     

流经有热辐射的无限垂直多孔平板时非稳定MHD流动的Soret和Dufour效应

不可压缩粘性导电流体,流经无限垂直多孔平板,平板存在振荡吸入速度和热辐射时,研究流动参数对自由对流和传质的非稳定磁流体动力学流动的Dufour(扩散热)和Soret(热扩散)效应.应用有限单元法,数值求解该问题的速度、温度和浓度场,还得到了表面摩擦、传热传质率的表达式.数值结果以图表方式给出,对外表致冷的平板(Gr0)和外表加热的平板(Gr0),给出了该方程中所遇参数的影响.     

咳嗽变异性哮喘患儿白三烯水平与白三烯受体拮抗剂疗效的相关研究

目的探讨不同白三烯（LT）水平的咳嗽变异性哮喘（CVA）患儿接受白三烯受体拮抗剂（LTRA）治疗后体内LT水平变化与临床疗效的关系。方法以本地300例同年龄儿童所测定的尿LTE4值（25.17±14.26）ng/L作为基础对照,将使用LTRA孟鲁司特治疗的67例CVA患儿按LTE4水平是否高于基础对照水平的2SD,分成LTRA-高（H）组25例和LTRA-低（L）组42例,治疗1个月后观察尿LTE4水平变化和临床疗效;采用相同方法将使用吸入糖皮质激素（ICS）氟替卡松治疗的60例患儿分成ICS-H组20例和ICS-L组40例进行对照。结果所有CVA患儿尿LTE4水平与基础对照相比均有统计学差异（均P＜0.05）;在接受2种不同方法治疗1个月后,LTRA-H组、LTRA-L组和ICS-H组患儿尿LTE4水平均有明显下降（均P＜0.05）,但ICS-L组无明显变化（P＞0.05）。LTRA组与ICS组总体疗效相当（P＞0.05）;LTRA-H组疗效优于LTRA-L组（P＜0.05）,LTRA-L组与ICS-H组、ICS-L组疗效均无统计学差异（均P＞0.05）。结论 CVA患儿采用LTRA和ICS治疗总体疗效相当;体内LT水平与LTRA临床疗效密切相关,LT水平高者疗效优于低者;尿LTE4检测可以作为临床选用LTRA的指标。     

复合索赔次数模型与混合索赔次数模型中的若干结果

本文利用完整描述方法研究复合索赔次数模型与混合索赔次数模型中总索赔次数的概率分布 ,得到了十余例典型索赔次数模型的相关结果 ,这些结果推广了文献 [1]、[2 ]、[6 ]的有关结论。     

无穷维Hamilton算子的二次数值域

研究了一类无界无穷维Hamilton算子的二次数值域的性质,进而,应用二次数值域来刻画了无穷维Hamilton算子谱的分布范围,并给出了二次数值域的闭包包含谱集的结论.     

拟对称马尔可夫过程穿越次数估计

本文研究了马尔可夫过程穿越次数估计问题.利用向前向后鞅分解方法,获得了拟对称马尔可夫过程的穿越次数估计,将Lyons-Zheng的马尔可夫过程的穿越次数估计从对称情形推广到拟对称情形.     

关于一个概率问题的条件

问题“甲、乙两人掷均匀硬币,其中甲掷n 1次,乙掷n次,求甲掷出正面的次数大于乙掷出正面的次数这一事件的概率”的解答中,应明确写出掷硬币的次数n 1与n。     

可渗透收缩薄膜引起的三维

研究可渗透收缩薄膜上的不稳定粘性流动.通过相似变换得到相似方程.在不同的不稳定参数、质量吸入参数、收缩参数、Prandtl数下,数值地求解相似方程,得到速度和温度的分布,以及表面摩擦因数和Nusselt数等.结果发现,与不稳定的伸展薄膜不同,在质量吸入参数和不稳定参数的某一范围内,可渗透收缩薄膜上的不稳定流动存在双重解.     

Minimizing the number of machines for minimum length schedules

In this paper, we present a new objective function for scheduling on parallel machines: minimizing the number of machines for schedules of minimum length. We study its complexity and we prove the NP-completeness of this problem, even if there is no precedences or for unitary execution times. We propose several polynomial algorithms for various particular cases.     

On the transient behavior of the processor sharing queue

We analyze the transient behavior of the single server queue under the processor sharing discipline. Under fairly general assumptions, we give the rate of growth of the number of customers in the queue as well as the asymptotic behavior of the residual service times described in terms of a renormalized point process.     

Simulation of the radioactive concentrations of radon and its daughters in the dwellings

A compartmental model has been established for simulation of the transport processes of the natural radionuclides as the noble gas ²²²Rn and its daughters in the dwelling. The model has been described by an ordinary differential equation system.According to the simulation results, the differences in the time course of the radiation Energy Rate (ER) and the Radon concentration (Rn) influence both the local and the time-integral values of the ratio. Namely, a very short but intensive ventilation modifies the ratio of EN/Rn by 40–50%. Therefore, the measured radon concentration, in the room does not precisely reflect either the radiation energy or the dose rates due to the inhalation.The relatively high radon exhalation from the building material could provide in equilibrium nearly 1000 Bq/m³ indoor radon concentration and the ratio of ER/Rn contributed to the inhalation dose in a closed room increases to nearly 1.5pW per Bq/m³.The parameter uncertainty analysis provided by the Monte Carlo simulations show that the main parameters contribute to the variation of the ratio EN/Rn are the normal ventilation rate, the deposition of the aerosols to the room surfaces and their resuspension back into the air. The radon exhalation rate from the building material has a large influence on the radiation energy rate and on the indoor radon concentration but not on their ratio.     

重特征根所对解的结构定理的改进

对于常系数齐线性微分方程组ddXt=AX,当A的特征根λi的重数ni 1时,特征根λi所对应解X(t)=(P1(t),…,Pn(t))Teλit中,t的多项式p(ji)(t)的次数ni+秩(A-λiE)-n,改进了多项式p(ji)(t)的次数ni-1的估计式.     

On the Pentomino Exclusion Problem

In this paper we are interested in the Pentomino Exclusion Problem due to Golomb: Find the minimum number of unit squares to be placed on a k\times n chessboard so as to exclude all pentominoes . Using an appropriate definition of density of a tiling, we obtain the asymptotic value of this number, and we establish this number for the k\times n chessboard when k≤ 4 . Received June 7, 1999, and in revised form March 1, 2001. Online publication August 9, 2001.     

延误工件个数与最大加工时间压缩比例之和的可控排序

研究工件加工时间可控的排序问题，讨论的目标函数是延误工件个数与最大加工时间压缩比例之和，证明这一问题是多项式时间可解的。     

Almost sure limit points of and the number of boundary crossings related to SLLN and LIL for record times,inter-record times and the number of record values

In this paper, the almost sure limit points and the moments of the number of boundary crossings of some functions of record times, inter-record times and the frequency of record values of a sequence of independent and identically distributed continuous random variables are studied.     

Bounds on the forcing numbers of bipartite graphs

The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demonstrate several techniques to produce upper bounds on the forcing number of bipartite graphs. We present a simple method of showing that the maximum forcing number on the 2m×2n rectangle is mn, and show that the maximum forcing number on the 2m×2n torus is also mn. Further, we investigate the lower bounds on the forcing number and determine the conditions under which a previously formulated lower bound is sharp; we provide an example of a family of graphs for which it is arbitrarily weak.     

Log-Convexity of Counting Processes Evaluated at a Random end of Observation Time with Applications to Queueing Models

We consider a counting processes with independent inter-arrival times evaluated at a random end of observation time T, independent of the process. For instance, this situation can arise in a queueing model when we evaluate the number of arrivals after a random period which can depend on the process of service times. Provided that T has log-convex density, we give conditions for the inter-arrival times in the counting process so that the observed number of arrivals inherits this property. For exponential inter-arrival times (pure-birth processes) we provide necessary and sufficient conditions. As an application, we give conditions such that the stationary number of customers waiting in a queue is a log-convex random variable. We also study bounds in the approximation of log-convex discrete random variables by a geometric distribution.