渐近的

The asymptotic behavior of the weak solution is obtained when an enthalpy function is made in L(superscript 2 subscript +) and a differential inequality is proved after using Cauchy inequality, Poincare inequality and the definition of weak solution.

在L(上标2 下标+)空间上构造了一个熵函数，利用带ε的Cauchy不等式和poincare不等式及弱解的定义，推导出了此函数满足的一个微分方程不等式，通过求解微分方程，证明了弱解的渐近性问题。

The central limit theorem states that the standardized average of any population with mean m and variance s2 is asymptotically ~N(0,1), or

的总体的标准化平均值的分布渐近趋向于N0，1

In order to prove the global asymptotical stability of the endemic equilibrium, we introduce the change of variable which can reduce our original four-dimensional system to a three-dimensional asymptotical autonomous system with limit system.

利用复合矩阵理论以及竞争系统的Poincaré性质排除了渐近自治三维系统的极限系统周期解的存在性，进而利用极限方程理论得到了原四维系统地方病平衡点的全局稳定性。

Only two papers known to the author discussed the possible relationship between the estimates of Km and Vmax. Colquhoun (196 9) found a strong positive correlation between these estimates in a simulation study. Subsequently, Oliver (1970) examined this relationship by the asymptotic variance-covariance matrices. These simulation and mathematical analyses were based on the assumption that the substrate concentration is error-free, with the error confined to the reaction velocity. In addition, their work was confined to the several estimation methods.

就作者所知，在本研究发表之前仅有两篇文章讨论过估计值之间的相关性。1969年，Colquhoun通过计算机仿真，发现了估计值之间存在正相关关系，1970年，Oliver用渐近方差-协方差矩阵检验了这一点，但是他们的发现有很大的局限性，其一是限于仅反应速度的测量值有误差这一种情况，其二是限于某几种估计方法。

Some priori estimates, Turing instability and global stability of positive constant steady-state solution are obtained by comparison principle, operator spectrum theory and Turing theory.

利用比较原理，算子谱理论及Turing理论，得到了正解的一些先验估计，正常数平衡态解的Turing不稳定性及正常数平衡态解的一致渐近稳定性。

By using Floquet theory, Comparison theorem of impulsivedifferential equation and analytic method, we investigate the dynamics of thesystem in detail.

通过利用脉冲微分方程的Floquet理论和比较原理，证明了当脉冲周期小于某个临界值时，系统存在一个全局渐近稳定的害虫根除周期解，最后给出了系统持续生存的条件。3。

For the purpose of evaluating the efficacy of description dosage in a clinical trial in which compliance is observed, a new parameter estimation method is proposed for a structure linear model based on the combination of least square and pseudo-likelihood , and under general regular conditions, the consistency and asymptotic normality of the estimators are verified.

为了研究依从性对药物效果的影响，对一种结构线性模型，结合最小二乘和拟似然的思想，提出了一种新的参数估计方法，并在一般的条件下，证明了参数估计的相合性和渐近正态性。

To prove that OLS estimators are asymptotically efficient, one needs to (1) present an estimator that is consistent but its variance is larger.

为了证明OLS估计量是渐近有效的，我们需要(1)给出一致的估计量但证明它有更大的方差。

Construction of confidence bands for continuous distribution functions is considered.

研究连续分布函数的置信带的构造问题，利用Kolmogorov-Smirnov统计量构造了具有渐近频率性质的连续置信带。

A class of uncertainty T-S dynamical fuzzy systems is given using the Lyapunov function method.The non-fragile controller design of continuous uncertain dynamical fuzzy system is given.

首先给出不确定T-S动态模糊系统的模型；然后利用Lyapunov函数方法，研究连续不确定动态模糊系统的非脆弱控制器设计，得到基于LMI的不确定动态模糊系统的全局渐近稳定性条件。

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。