分布参数

Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained.

以时滞量为参数，通过分析对应线性系统特征方程的根的分布，讨论了平凡解的稳定性，得到了平凡解发生Hopf分岔而失稳的临界时滞量以及临界时滞量与系统控制参数的关系。

Parameter changes of Gaussian beams after passing through astigmatic lens

从参数在空间上的分布来考虑，反应器可以区分为各参数不随空间坐标而变和随空间而改变两大类。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

Kulldorf'book(1961)sysmatically studied the MLE of the location and scale pa-rameters belonging to the exponential family,Kulldorf proved that the MLE wasconsistent and has asymptotically normal distribution.

Kull-dorf（1961）在所著的书里系统地研究了如何利用分组数据求指数分布族的位置参数与尺度参数的最大似然估计，并且证明了MLE的相合性与渐近正态性。

Using ABAQUS/Explicit simulation research and experiment research, from the view of statics and kinematics, it deeply analyzed the basic rules of cold ring rolling deformation, researched the distribution laws of residuary stress, deduced formulas about moving parameters of rollers and constructed design and optimization model for technology parameters. All above researches provided academic and experimental basis for the development of cold ring rolling technology.

本文通过ABAQUS／Explicit有限元模拟研究和实验研究，从静力学、运动学方面，深入分析了环件冷辗扩变形基本规律，研究了残余应力分布规律，推导出了轧辊的运动参数设计公式，建立了工艺参数设计和优化模型，为环件冷辗扩技术应用发展提供了理论和实验依据。

Finally, the effects of the geometric and physical parameters on the distributions of deflection and the bending moment in plates are investigated.

最后，分析了结构几何参数和物理参数挠度和动弯矩分布的影响。

It assumes survival time follow exponential distribution and quality of life initial value follow beta distribution. In order to correlate present quality of life with former quality of life, each quality of life were evaluations generated from AR(1) model. In addition, we set parameters of AR(1) model between 0 and 1, calculates expected QAST from different parameter combinations.

假设存活时间服从指数分布、生活品质初始值服从Beta分布，并利用时间序列一阶自我回归过程First-Order Autoregression Process， AR(1的模型产生各次生活品质评量值，使当次的生活品质与前一次的生活品质产生相关性，并将AR(1)模型中的参数设定为介於0与1之间的值，且产生不同的组合。

Methods of computing steady-state distribution of the birth and death process model is presented.

关于时间参数连续DES的稳态分布着重给出了生灭过程模型稳态分布的计算方法。

Based on the invariance of maximum likelihood estimation, the sufficient and necessary condition under which the maximum likelihood estimation has invariance for the parameters are given, then it uses this conclusion to calculate the maximum likelihood estimation of σ^2 and ρ for bivariate normal distribution.

根据参数极大似然估计不变性原则，给出在一定条件下极大似然估计具有不变性的充分必要条件，并利用该结论计算了二元正态分布Z=的未知参数σ^2和ρ的极大似然估计值。

Digital speckle correlation method is adopted to measure parameters ofMooney-Rivlin model of rubber in the simple tension experiment. The globaldeformation of tire, distribution of equivalent Cauchy stress and distributionof normal contact forces between tire and ground are analyzed.

应用数字散斑相关法和单向拉伸实验测定了胶料的Mooney-Rivlin本构参数；分析了轮胎的整体变形、接地法向力分布和等效Cauchy应力分布。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。