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。

Use moment of inertia terms to rigid oval ring around the long axis and the short axis of the moment of inertia, and then use orthogonal axis theorem calculation rigid oval ring around the ring with the vertical plane through the central axis and the moment of inertia.

运用转动惯量定义计算出椭圆环刚体绕长轴和短轴的转动惯量，然后用正交轴定理计算椭圆环刚体绕垂直与环平面且通过中心轴的转动惯量。

By taking the energy integral as Lyapunov function,it is proved that nonlinear transverse vibrations of the beam undergoing uniform extension or retrieval are stable when there are not controlling moment in the central rigid body and driving force on the beam,according to the partial stable theorem.

利用能量积分构造Lyapunov函数，根据部分变量稳定性定理，证明了当中心刚体无控制力矩，附件驱动力为零时，梁在等速伸展或收缩时的横向非线性振动是稳定的。

By taking the energy integral as Lyapunov function, it is proved that nonlinear transverse vibrations of the beam undergoing uniform extension or retrieval are stable when there are not controlling moment in the central rigid body and driving force on the beam, according to the partial stable theorem.

利用能量积分构造Lyapunov函数，根据部分变量稳定性定理，证明等速伸展或收缩梁的横向非线性振动稳定。

By taking advantage of a corollary of the Desargues theorem and the corresponging extension of Desarguesian configuration, the concept of stereohomology has been defined in projective geometry and presented based on homogeneous coordinates. Consequently, a series of geometrical transformations, such as central projection, parallel projection, centrosymmetry, translation transformation, reflection, rotation transformation, which can be contained in it or derived from it have also been analytically defined.

利用Desargues定理的一个推论和引申的Desargues图形，给出"空间透射"在射影几何意义下基于齐次坐标表象的解析定义，从而解析定义了可蕴涵其中的中心投影、平行投影、中心对称、平移、反射等几何变换以及可由此衍生出的旋转变换。

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。