极限定理

In order to examine the precision of estimated auto-regressive coefficients,the covariance exprcssion of the estimated auto-regressive coefficients is established using central limit theorem.

为考察AR系数估计的精度，利用中心极限定理建立了估计的自回归系数矩阵协方差的表达式。

A mechanical description of the REV related to the elastic modulus of jointed rockmasses is proposed, and an expression of the REV based on the central limit theorem is suggested.

本文论述了岩体力学性质的尺寸效应，提出了与岩体弹性参数相应的表征单元体REV的力学描述，根据中心极限定理推导了估算裂隙岩体REV 的数学表达式。

Probability of following after them, its central research topics are focused on promoting and improving the Bernoulli law of large numbers and central limit theorem.

概率论继他们之后，其中心研究课题则集中在推广和改进伯努利大数定律及中心极限定理。

In order to get a deeper understanding of law of large number and central limit theorem, random variables are simulated using Mathematica in this article.

概率论中的大数定律及中心极限定理正是两个描述随机现象统计规律性的重要结论。

In Part two, it is proved that, the evolution strategy of uniform distribution for continuous functions, asymptotically converges to the global optimal solutions in probability, by using central limit theorem, under suitable conditions. Then a new kind of evolution strategies is proposed.

第二部分，针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的进化策略是依概率收敛的，然后给出了采用一般连续型随机变量作为变异算子的进化策略依概率收敛的证明。

Progressive pruning can save a lot of simulations,but it is very dangerous in the framework of tree search. When doing tree seach,the central limit theorem does not apply,because the out comes of random simulations are not identically distributed.

渐进式修剪可节省大量的仿真，但在树搜索的范围内它是非常危险的，在做树搜索，中心极限定理并不适用，因为随机仿真的结果是不相同的分配。

Most of them rely on the central limit theorem, that states that the mean of N independent realizations of a random variable with mean u and variance d^2 approaches a normal distribution with mean u and variance d^2/N .

在蒙特卡罗评估框架内大量的各种选择性算法已经被推出，他们中的大部分依赖于中心极限定理，一个均值为U方差为D^2的随机变量的N次独立实现的平均值接近于一个均值为U方差为D^2/N的正态分布。

Law of large number and central limit theorem are demonstrated and verified from the particular point of view by programming and plotting graphs.

笔者运用数学软件Mathematica作为工具，对大数定律及中心极限定理从不同角度进行演示与验证，给出形象直观的解释及说明。

Known by the central limit theorem, the distribution of the absurd will eventually converged on the Gaussian distribution, while the speed chosen by the decision of the tail function.

由中心极限定理所知，这个荒谬的分布将最终汇聚于高斯分布，而其速度由所选择的尾部功能决定。

The the probabilistic forecasting method of the error between the sample mean and expectation value of the random variable utilizing the central limit theory was researched, then the mathematical formula for the relation between sampling size and variance coefficient of loss of load probability was analyzed. Furthermore, the formulas for the relation between confidence intervals of variance coefficient and sampling size are deduced.

基于中心极限定理深入研究随机变量的样本均值与期望值之间误差的概率预测方法，在此基础上分析失负荷概率(loss of load probability，LOLP)指标的方差系数和样本容量之间的关系表达式，导出方差系数给定时的样本容量置信区间公式及样本容量给定时的方差系数置信区间公式。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。