查询词典 classification theorem

It contains random events and probabilities, random variables and their distributions, multi dimension random variables and their distributions, the number character of random variables, laws of large number and the central limit theorem, etc.

学习概率论的目的是对随机现象有充分的感性认识和比较准确的理解，初步掌握处理不确定性事件的理论和方法，培养学生运用概率方法分析和解决实际问题的能力。

The generalized central limit theorem shows that these heavy-tailed fluctuations accumulate to a stable probability distribution.

如果尾不是太厚，则方差是有限的，且我们可以找到常见的正态极限分布，即稳定分布一种特殊情况。

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。

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

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。

The role of the environment is very important.

的作用，环境是非常重要的。

At that time, the High Court of England and Wales Court of Queen's Bench president of William Murray, Lord Mansfield in June 22, 1772 ruling:"No matter then there is the inconvenience, but there must be a decision, I can not say that this case under the law in England are permitted or authorized; are so black should be released."

当时的英格兰及威尔士高等法院王座法庭院长William Murray， Lord Mansfield于1772年6月22日宣判：「无论有那麽不便，但总要有个决定，我不能说这件案在英格兰法律之下是准许或认可；所以黑人是应该被释放。