均匀分布U〔θ-1/2,θ+1/2〕中参数θ的四种估计量

给出均匀分布U〔θ-1/2,θ+1/2〕中θ的四种估计量,并分别比较了四种估计量的优劣性.     

单圈图的最大特征值的上界的改进

Let G（V, E） be a unicyclic graph, Cm be a cycle of length m and Cm G, and ui ∈ V（Cm）. The G - E（Cm） are m trees, denoted by Ti, i = 1, 2,..., m. For i = 1, 2,..., m, let eui be the excentricity of ui in Ti and ec = max{eui ： i = 1, 2 , m}. Let κ = ec＋1. Forj = 1,2,...,k- 1, let δij = max{dv ： dist（v, ui） = j,v ∈ Ti}, δj = max{δij ： i = 1, 2,..., m}, δ0 = max{dui ： ui ∈ V（Cm）}. Then λ1（G）≤max{max 2≤j≤k-2 （√δj-1-1＋√δj-1）,2＋√δ0-2,√δ0-2＋√δ1-1}. If G ≌ Cn, then the equality holds, where λ1 （G） is the largest eigenvalue of the adjacency matrix of G.     

阵列天线最大输出信干噪比下最优权重降维算法

本文研究阵列天线系统最大输出信干噪比准则下最优权重的降维算法。在求最优权重的过程中，计算复杂度是我们要关心的重要的问题，而计算复杂度与权重矢量的维数成正比。权重矢量的维数和天线阵的阵元个数相同。在期望方向和干扰方向小于天线阵元个数的情况下，完全可以通过某种变换，降低计算最优权重的实际维数，从而降低计算复杂度。     

Stochastic Resonance in a Time-Delayed Mono-Stable System with Multiplicative and Additive Noise

The stochastic resonance （SR） in a time-delayed mono-stable system driven by multiplicative white noise, additive white noise, additive dichotomous noise as well as a periodic square-wave signal is considered from the view of the signal-to-noise ratio （SNR）. It is found that the SNR increases monotonically with the increase of the delay time. The SNR exhibits the SR behavior when it is plotted as a function of intensities of the noises, displaying the asymmetry of the dichotomous noise. The SNR varies non-monotonically with the increase of the system parameter and the amplitude of the input square-wave signal.     

A Model for Fractal Dimension of Rough Surfaces

We report a model for the fractal dimension D8 of rough surfaces based on the fractal distribution of roughness elements on surfaces and the fractal character of surface profiles. The proposed model for the fractal dimension Ds is expressed as a function of the fractaJ dimensions D for conic roughness diameter/height and Dp for surface profile, maximum roughness base diameter λmax, the ratio β of conic roughness height to its base radius as well as the ratio λmin/λmasx of the minimum to the maximal base diameter.     

Loading of cold ~(87)Rb atom with diffuse light in an integrating sphere

<正>Cold ~(87)Rb atom's loading in an integrating sphere with diffuse light is analyzed theoretically and experimentally. The experimental results show that diffuse light cooling has the greatest efficiency to cool the most atoms when the red detuning between the frequencies of cooling light and atom transition is about 3.3r(Γis the natural linewidth,6.065 MHz).Theoretical analysis using rate equation and numerical calculations on the cold atom number and loading time agree with the experimental results.This integrating sphere cooling would be a novel method for cooling atoms and lead to a new and robust cold atom source for atomic clock.     

微分方程解的存在区间的确定

从六个方面说明了确定一阶微分方程解的存在区间的方法.     

线性唯象传热定律下光驱动发动机的最优路径

以存在热漏、摩擦等不可逆性,以双分子反应系统2SO3FS2O6F2为工质的光驱动发动机为研究对象,考虑工质与环境之间传热服从线性唯象传热定律[q∝Δ(T-1)],分别以输出功最大和熵产生最小为目标对整个循环活塞运动的最优路径进行研究.利用最优控制理论得出了活塞运动路径及工质温度的最优构型,给出了最优构型的数值算例,并与牛顿传热定律[q∝Δ(T)]下的最优构型进行了比较.     

考虑最大与最小孔隙半径比的相渗曲线计算模型

相对渗透率对指导油田开发具有十分重要的作用,分形理论的出现为计算相对渗透率曲线提供了一种新的方法,但已有求取相对渗透率曲线的分形模型都将最大与最小孔隙半径比视为无穷大进行简化计算,误差较大.因此建立了考虑最大与最小孔隙半径比求取油水相渗曲线的模型,并分析了最大与最小孔隙半径比对相渗曲线的影响,结果表明最大与最小孔隙半径比的增大对油相渗透率影响微弱,对水相渗透率影响巨大,且水相渗透率曲线随着最大最小半径比的增大渐向右移,两相区面积逐渐减小,当比值为无穷大时两相区面积为零.最后,结合F储层,验证了采用比值变化模型计算的相渗曲线与实验测得曲线误差甚微.说明该方法简单易行,精准度高,值得推广与应用.     

关于最大公因数的一个定理的推广

本文推广了关于最大公因数的一个定理.