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Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性,可引出相关的一些特殊矩阵问题,包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

This paper gives an exact solution for free vibration of a physically nonuniform straight bar with vary-ing section by the use of a class of integrable linear ordinary differential equation.

本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解,我们应用这一精确解验证了渐近解的精确度。

In this paper, the asymptotic synchronization in a lattice of partial-state couplednonidentical Lorenz and pendula equations are studied.

本文主要研究部分耦合的Lorenz和单摆格点动力系统的解的渐近同步性。

Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.

综合利用Lyapunov 函数方法,结合矩阵测度和矩阵范数的性质,通过加强不等式,给出线性多时滞系统时滞无关渐近稳定的新的充分条件。

The maximum likelihood estimator for population average treatment effect is proved to be consistent, unbiased and asymptotically normal .

并且证明了在正态分布的假设下,该总体平均因果效应的极大似然估计是相合无偏且渐近正态的。

Comparing with the maximum likelihood estimator, the new estimator obtaining from this method not only has simple form and need not much computation,but also has good asymptotic properties.

这种方法得到的新的估计量跟极大似然相比,不仅形式更简单,不需要复杂的计算,而且具有相当好的渐近性质。

Analysis implies that when a different weighting matrix is used in the R-WSF method, the criterion function of the R-WSF method is asymptotically equivalent to that of the determinate maximum likelihood estimator and the classical WSF method, respectively.

理论分析表明,当加权矩阵取不同的值时,R-WSF方法的代价函数可以分别渐近地等效于确定性最大似然法和常规WSF方法的代价函数。

Firstly,we propose likelihoodratio test statistic by using maximum likelihood ratio method.

对于由Schwarz信息准则方法获得的检验统计量,利用Csorgo and Horváth(1997)的结果,我们得到了检验统计量的渐近分布。

Then, the GP〓-stability of the multistep Runge-Kutta method for neutral delay differential system with different delay terms is considered. A sufficient condition of asymptotic stability for the system is attained.

在分析中立项与非中立项具有不同延迟的中立型延迟微分系统多步Runge-Kutta方法的GP〓-稳定性时,给出了系统渐近稳定的一个充分条件。

We also obtain the necessary and sufficient condition for the correspondence between the points of $S_1$ and $S_2$ at the same rays preserving the net of asymptotic curves.

对于$T$的两个焦曲面$S_1$和$S_2$之间沿着同一光线的对应,还证明了其保持渐近曲线网的充要条件。

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Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说,如果是/否的问题回答f可看的价值观念在许多最有限坐标,然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明:基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小,它既能去除奇异点,又能保持图像中目标的边缘不变性,具有很好的滤波效果。

It explains in detail how the methods of elicitation, discussion, and induction are to be used in the physics teaching.

本文根据心理学原理论述了改革初中物理教学的必要性,并对"启发、讨论、归纳法"在物理教学中的应用作了详细的阐述。