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Property 1 (Boundedness and max-min theorem) Let be a continuous function of several variables on a closed region D, then has an absolute maximum and an absolute minimum on the region.

性质1(有界性与最大值最小值定理)在有界闭区域D上的多元留恋许函数,必定在D上有界且一定能取得它的最大值和最小值。

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。

Automatically according to input data to choose the minimum value of the largest longitudinal coordinates, according to the time the largest choice of horizontal coordinates of the minimum value.

详细说明:自动根据输入数据的最大最小值选择纵向坐标,根据时间最大最小值选择横向坐标。

The method can be used not only for predicting the maximum or minimum parallel execution time, but also for solving any problem about the maximum or minimum of identically, indentical distributed random variables.

这种方法不仅适于解决"最大"或"最小"的并行执行时间预测问题,而且适于任何求独立同分布随机变量的最大值与最小值问题。

Firstly, applying spectral factorization to minimize an integral square performance criterion containing tracking error and control energy, an optimal control law for the nominal model is derived on condition of control energy constraint. Then, for model uncertainty, using spectral factorization to minimize the variance of the actual system performance from the nominal performance over all frequency range, a robust controller design method is abtained, which has optimal robustness of the system nominal performance to model errors.

首先针对控制对象的标称模型应用谱分解最小化一个包含跟踪误差和控制能量在内的积分平方性能指标,导出一个控制能量约束条件下的最优控制律;然后再针对模型不确定性应用谱分解最小化实际系统性能和标称性能在整个频段上的方差,得到一个鲁棒控制器的设计方法,可使系统的标称性能对模型误差具有最优的鲁棒性。

As an extension of the traditional mathematical expectation, Choquet expectation and minimax expectation have many applications in finance and insurance.

Choquet期望和最大、最小数学期望作为传统数学期望的一个延伸,在金融和保险上已经有了广泛的应用。一般来说,由于它们的非线性性,Choquet期望和最大,最小期望不容易算出。

This method corrected the Wien approximate based on the mathematical principle, and calculated the spectral shape using ADE to identify the band which had the maximum and minimum emissivity, then deduced the relationship of each band's emissivity after the correction of Wien approximate and derived the actual emissivity using this relationship and MMD model.

对维恩近似从基本原理上进行修正,利用ADE计算光谱大致形状以确定发射率最大最小的波段,推导出了在修正维恩近似后各个波段发射率的关系,再利用这个关系以及最大最小值差模型计算实际的发射率。

Based on the obtained results, a simulation method for evaluating the performance of multiuser detection on the condition of average, maximal, and minimal partial correlation coefficients is proposed.

进一步分析了平均部分互相关系数的解析表达式并给出了计算方法,采用进化算法求解了最大以及最小部分互相关系数存在的相对时延条件,提出了异步系统中多用户检测在平均、最大以及最小部分互相关系数条件下的性能仿真评估方法。

Registers are always the most efficient way to store immediate values, and using them always generates the fastest and smallest code (smallest because most instructions have short preassigned codes for accessing registers).

寄存器是存放马上要使用的变量的最有效的方式,因为只有这样才能产生最快最小的代码(产生最小的代码是因为大多数指令都有用于访问寄存器的较短的预处理指令)。

In order to compare the results for the three different die gaps, the ratio of the two principal strains is introduced, being min/max, where max and min are the major and the minor principal strains, respectively. Hosford and Caddell [5] have shown that if the absolute value of is greater than a critical value, wrinkling is supposed to occur, and the larger the absolute value of , the greater is the possibility of wrinkling.

为了比较三种不同模具间隙的结果,两种主要张力的比率被介绍-是最小值/最大值,这里最小值/最大值是主要的和次要的张力,分别的, Hosford and Caddell [5] 显示如果他的绝对值比临界值大,起皱应该会产生,越大的绝对值,则越大的起皱产生。

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I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。