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To solve this problem, an algorithm to analyze and research the multi-harmonic sources was proposed based on certain assumptions, and the calculation formulae of harmonic superposition were deduced based on Big Number Theorem and Central Limit Theorem of probability statistics.

针对这一问题，论文在一定假设条件下，提出了一种研究多谐波源谐波电流叠加的方法，利用概率统计学中的大数定理和中心极限定理，推导出了谐波叠加的计算公式。

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。

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。