算术平均

During one-year period following the acquisition, floating stockholders earn excess return of 15.66 percentand 11.46 percent. We also find: different factors have different influence on value creation.

实证研究结果表明：并购重组为流通股小股东创造了价值，被并购公司股票在并购前后 1年内产生了 15.66%的算术平均超额收益率和 11.46%的加权平均超额收益率。

The concept of the weighted logarithmic power mean is introduced; its relation with two-parameter mean is given; the inequality for weighted logarithmic power mean is derived; the magnitude relation among upper bounds of geometric mean and arithmetic mean of geometrically convex functions are made certain.

建立了几何凸函数的对称拟算术平均不等式，对文献[1]提出的不等式进行了推广统一；引进加权对数幂平均的概念，建立起其与双参数平均之间的关系，得到加权对数平均不等式，从而确定了几何凸函数的几何平均、算术平均的上界的大小关系；最后，提出了几何凸函数的对称拟算术平均不等式的推广问题。

Uses the arithmetic mean of the mean peak force and the mean valley force.

4使用算术平均的平均峰值力及平均谷武力。

The numerical results also indicate that the weighted geometric mean method needs less number of iteration than the weighted arithmetic mean method.

数值结果也显示：加权几何平均法所需的迭代次数比加权算术平均法所需迭代次数少。

Based on these operational laws, some aggregation operators, including pure interval-valued intuitionistic fuzzy weighted arithmetric averaging operator and pure interval-valued intuitionistic fuzzy ordered weighted averaging operator, are proposed.

论文摘要：对纯区间直觉模糊信息的集结算子进行了进一步研究，引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数，并基于这些运算法则，提出了一些新算子：纯区间直觉模糊数加权算术平均算子和纯区间直觉模糊数有序加权平均算子。

In this paper we considered three problems on Asian options pricing: The valuation of geometric average Asian options with stochastic averaging period, the valuation of Asian options with fixed strike price and floating strike price in the case of arithmetic average.

本文考虑了三个关于亚式期权的定价问题：平均周期是随机的几何平均亚式期权的定价；具有固定执行价格的算术平均亚式期权的定价和具有浮动执行价格的算术平均亚式期权的定价。

4Based on a fact that the price formula of Asian options can be transformed into that of vanilla European option when the time to maturity is less than or equal to the length of average, we skillfully obtain the analytical price formula for the option on the minimum or the maximum of two geometric average prices and generalize it to obtain the price formula of several average prices for the first time. We also apply the method of [121], which approximates the arithmetic average by the geometric average, to the pricing of opitons on the minimum or the maximum of two arithmetic average prices to obtain Its approximated price formula. Numerical results show that the approximated price is relatively accurate when the riskless interest rate is large or the option is in the money and the volatility of two underlying assets are high and its accuracy is a little reduced but still good when the dividends are considered. However, it is hardly affected by the sampling number.

我们基于观察到的一个事实即当离到期时间小于或等于平均期间时亚洲期权的价格可变换成普通的欧式期权的价格，从而巧妙地得到了两个几何平均价格的最小或最大值期权价格的解析公式，通过简单地推广，首次得到了多个几何平均时的价格公式；将[121]用于算术平均亚洲期权的定价方法推广到两个算术平均价格的最小或最大值期权，从而得到它的渐进公式，数值结果表明：渐进价格的准确性在无风险利率较大或期权为实值且两标的资产的波动率较小时较好，抽样的个数对它没有影响，但考虑红利时它稍有下降但仍较好。

There are many types of filtering methods, such as the limit speed filter and limit amplitude filter used in the program determination method, mean value filter, arithmetic average filter, sliding average filter, etc. This research adopts the combined average filter method that can eliminate the pulse interference.

有许多种过滤方法，如极限速度滤波和限幅滤波程序测定，均值滤波器算术平均滤波，滑动平均滤波等本研究采用了组合平均滤波法，能有效消除脉冲干扰。

In consideration of the problems in logging interpreting subzone water saturation for reserves calculation, Excel subroutine and functions are used to implement the methods of average calculation of pore volume of water saturation, saturation extreme and water saturation extreme and the extreme of pore volume of water saturation.

针对储量计算中测井解释小层含水饱和度的计算问题，用Excel宏命令和函数实现了含水饱和度孔隙体积平均计算方法、含水饱和度极值算术平均计算方法、含水饱和度厚度极值平均计算方法以及含水饱和度孔隙体积极值平均计算方法的功能。

In addition, deterministic calculations were carried out using (1) arithmetic mean values of untransformed hydraulic parameters,(2) arithmetic mean values obtained after backtransformation of Gaussian distributed parameters, and (3)alternatively using a set of mean bimodal retention and conductivity curves. Predictions obtained with the two stochastic methods and the deterministic cases are compared with measured cumulative outflow and moisture content profiles from fifteen 1 m long undisturbed soil columns collected along the same transect.

此外，决定论计算被实行使用改变与水有关的参数的(1)算术平均价值观，在 backtransformation 以后为得到高斯的(2)算术平均价值观的散布参数和(3)另一种选择使用一套卑鄙双峰的保留和传导性弯曲。，用二有可能的方法和决定论情况为得到的预言被把和仔细斟酌累积的流出比较和从十五1 m 长不受干扰土壤柱，沿着把同样的 transect。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。