算术元素

Element order is an important quantity in finite groups,which influences the integral property of finite groups profoundly.

元素的阶是有限群中重要的算术量，它深刻地反映了有限群的整体性质。

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。

Each tile is simultaneously an element in four distinct bi-directionally infinite arithmetic series.

每一个游戏块同时是四个不同的双向无限算术系列中的一个元素。

It USES a programmable memory, used in its internal storage execution sequence control and logic element, timing, and arithmetic operation instruction, and through digital and analog input and output of various types of machinery, control of the production process.

它采用了可编程序的存储器，用来在其内部存储执行逻辑元素、顺序控制、定时、计数和算术运算等操作的指令，并通过数字式和模拟式的输入和输出，控制各种类型机械的生产过程。

Suppliers of PLC systems have added nonlogical elements such as timers, counters, and arithmetic operators to the ladder structure, thus interfacing the logic directly with computational actions it controls.

PLC 系统的供应者有附加的非合乎逻辑的元素，像是定时器，柜台，和算术操作员对梯结构，如此直接地以计算的行动接口逻辑它控制。

This thesis mainly considers how the arithmetical conditions of conjugacy classes and element order s of a finite group influence its structure respectively.

本文主要研究有限群中共轭类和元素的阶的算术条件对群结构的影响。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。