平均

The main results are as follows:We review the existing Monte Carlo control variates estimators of the price of Asian options and propose a new one. According to pratical needs, we define efficiency as the inverse of the product of the variance of an estimator and its computational time and make it a standard for comparisons to draw the following conclusions: Firstly, the more control variates correlate with arithmetic average Asian options, the larger is the efficiency of an estimator with these control variates, but among which the geometric average option plays the most important role; Secondly, an estimator with more control variates is better than one with less ones only when the time to maturity is long and the volatility is high.

在综合已有研究工作的基础上，本论文的主要创新成果如下：（1）我们回顾了已有的亚洲期权价格的蒙特卡罗控制变量估计，并提出了一个新的控制变量估计，且从客观实际出发，将估计值的方差和计算时间的乘积的倒数定义为效率并以它为标准比较各估计，得到以下结论：与算术平均亚洲期权相关程度越大的控制变量构成的估计的效率越大，而其中起主要作用的控制变量为几何平均亚洲期权的价格；只有在到期时间较长且标的资产的波动率较大时，元素多的多元控制变量估计比元素少的效率大。

Two amelioration operators were developed, such as the triangular intuitionistic fuzzy numbers weighted arithmetic average operator, and the f interval-valued intuitionistic fuzzy numbers weighted geometric average operator.

定义了三角和区间直觉模糊集的一些运算法则，给出了直觉模糊集两个改进算子，即三角模糊数加权算术平均算子和区间直觉模糊数加权几何平均算子。

By using the multi-year series of the circulation indices P and C for the closed pressure system on the unit radius spherical surface,three characteristic quantities of annual system centers(around the climatological center C-) are defined.1Average distance r,which is defined as the weighted geometric average distance of the annual system centers C deviating from the climatological center C-(i.e.the center location anomaly C′),is a measurement for distribution area of the system...

用单位半径球面上闭合气压系统环流指数P、C的多年序列，构造了历年系统中心在C-周围分布的3个特征量：1平均距离r，它定义为历年系统中心C偏离于气候中心C-的权重几何平均距离，是系统中心分布区域大小的度量；2压缩系数μ，它描述了历年系统中心分布区域偏离于圆形的程度，是历年系统中心位置分布各向异性的度量；3极大异常方向β，它用系统中心极大异常偏离-C处正东方向的角度，给出了系统中心的主要异常方向。

Dynamic pressure averaging pipe was generally applied to blowing rate measurement in rectangular pipe of power plant, the average velocity of flow in the section was represented by the average dynamic pressure at the line through the geometric center of the cross section, and then the blowing rate was determined.

针对这一问题，本文设计了基于"对数契比雪夫法"的送风流量测量装置，将5支动压平均管置于同一截面，按"对数契比雪夫法"选点位置开孔，把这5支动压平均管的静压输出孔、总压输出孔分别连接到一起作为传感器组件的差压输出，实验表明这种方法使测量准确度明显提高。

The algorithms are respectively to compute arithmetic mean of the probabilities and normalized geometric mean of the probabilities.

采用公理化方法给出了相应的算法，这两个算法算法分别是对概率进行算术平均和几何平均，再进行归一化处理。

Results The geometric mean titer and rate of protection for pertussis were 1:77.63 and 21.97%.

结果百日咳抗体几何平均滴度1：77.63，抗体保护率21.97％；白喉、破伤风抗毒素平均滴度1.33IU／ml和0.73IU／ml，阳性率99.08％和81.92％。

The research for the means has a long history, the classical means include algebraic mean, geometric mean and harmonic mean etc.

平均数理论研究的历史久远，经典的平均数包括算术平均，几何平均，调和平均等。

Using the matrix geometric method we get the probability distribution of the number of customers, the mean number of customers and the mean sojourn time of a customer in the steady-state.

用矩阵几何解的方法得到了稳态分布，平均队长以及平均逗留时间的表达式。

The basal diameter, height of aerial stem, leaf length at middle stem, leaf width at middle stem, internode length at middle stem, internodes number and panicle length of 30 plants from every population were recorded. The statistics of morphological characters showed that the distribution trends of the averages of morphological characters are similar among populations. However, the coefficients of variation within population of 7 morphological characters were very different. The CV of internodes was largest and the CV of height was smallest within population. F-statistics showed that the differences of all morphological characters among populations were significant (P.01). But the differences among populations were different between different groups. The cluster analysis proved that all populations could be divided into three types: salty reed, freshwater reed and giant reed.

对来自每个种群的30个个体的基径、株高、中部叶长、中部叶宽、中部节间长、节间数、穗长7个形态特征的统计分析表明：各形态特征平均值在种群间的分布趋势相似，但变化幅度不同，株高、叶长等营养特征变化较大大，生殖特征穗长的变化较小；7个形态指标在种群内的平均变异度从大到小依次为中部节间长、中部叶宽、穗长、中部叶长、基径、节间数、株高，种群内的平均形态变异度与生境异质性有关；7个形态指标在种群间均差异显著，但多重比较分析显示显著差异主要存在于BZH、淡水生境种群和盐渍化生境种群之间，在相似生境种群间的形态差异不显著；以形态特征为依据的聚类分析支持将15个种群分为三类：盐生芦苇、淡水芦苇和巨型芦苇。

In 2007, average currency laborage of employee on-the-job was 18,032 yuan, higher 3,109 yuan than last year, increasing 20.8 percent; governable earning of city resident averaged 10,473 yuan, higher 1,436 yuan, increasing 15.9 percent; net income of family of farmers and herdsmen averaged 7,250 yuan, higher 1,270 yuan; increasing 21.2 percent; farmers' net income averaged 6,061 yuan, higher 346 yuan, increasing 6.1 percent.

2007年在岗职工年平均货币工资18032元，比上年增加3109元，增长20.8%；在岗职工平均货币工资17558元，增加2991元，增长20.5%；城市居民人均可支配收入10473元，增加1436元，增长15.9%；团场农牧工家庭人均纯收入7250元，增加1270元，增长21.2%；农民人均纯收入6061元，增加346元，增长6.1%。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷