算术上的

Combining Inclusion-Exclusion principle with Disjoint Sum of products formula,the new formula contains terms which correpond one by one to a class of special subnetworks. For a given newtork,terms of new formula are fewer than those of corresponding stryanarayna formula. Finally,an example illustrates our conclusion.

该公式本质上是将容斥原理公式和不交和公式融合在一起，公式中各项和网络的一类特殊子网络一一对应，与相应的Satyanarayanna公式比较，该公式包含更少的项和更少的算术运算，并给出一个算例验证上述这个结论。

To factor a polynomial of degree n over Fq, the number of arithmetic operations in Fg isO(n1.8010111405662083logq) or On2+o(1 +n1+o(1) log q or On (1,3/4,3/4+ n1+o(1) logq, of which the first one is less by 0. 00433886 than the previous record.

具体地说，为了分解有限域F~q上一个次数为n的多项式，该算法的时间开销为 On~(1.8010111405662083logq或On~(2+o(1)+n~1+o(1logq或On~(ω(1，3/4，3/4)+n~I+o(1logq个F_q中算术运算，其中第一个开销的指数比已知的最好结果降低了

In this paper, an improved technique of static image compression is completed based on the JPEG standard, the technique uses a new Fourier analysis technique called the arithmetic Fourier transform to compute discrete cosine transform coefficient.

本文在国际标准组织制定的静态图像压缩标准JPEG的基础上，提出了一种采用新的傅立叶分析技术—算术傅立叶变换来快速计算离散余弦变换系数值，改进了静态图像压缩技术，克服了DCT运算速度慢的缺点，同时克服了传统的快速离散余弦变换程序复杂，子进程多的缺点。

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。

Unlike BDD, BMD adds weight on edges and thus reduces the node quantity of the diagram. A new circuit abstraction method, half adder graph was proposed to represent arithmetic circuits during the synthesis period.

结合半加图的算术单元验证：论文研究了基于BMD验证乘法电路的方法，该方法使用矩分解方式，在BMD的边和节点上赋予权重信息，减少了图的节点数。

Considering that the trade's price impact function includes the trade size and the liquidity discount of security market at that time,under the assumption that the risky asset's price follows the arithmetic Brown motion,and based on the none-shape,L shape or U shape of intraday liquidity patterns,this paper introduced the Lagrange equation of motion and the method of Frobenius,and found out the optimal intraday liquidation strategies of large security positions.

考虑到交易的价格影响是该时刻的交易量与市场流动性折扣的函数，假设风险资产价格服从算术布朗运动，以及分别在不考虑日内流动性模式，考虑L形和U形日内流动性模式的基础上，采用拉格朗日运动方程以及Frobenius方法，得到了大额风险头寸的日内最优变现策略。

The typical Arithmetic Coding does not map a single source to a word, but maps the whole input symbol sequence to a section of 0,1 on the real number axis, the width of which is equal to the probably of the sequence. A representative binary fraction in the section is chosen as real output to get efficient compressed codes.

典型的算术编码不是将单个的信源符号映射成一个码字，而是将整个输入符号序列映射成为实数轴上0，1区间内的一个小区间，其长度等于该序列的概率；在该小区间内选择一个代表性的二进制小数，作为实际的编码输出，从而达到了高效编码的目的。

In fact, the main goal of bernina is to provide access to selected functionalities of the Sum^it library to other computer algebra systems, or to users who do not own an Aldor compiler, or who feel more confortable with interactive access to a library.

的问题。事实上，它的主要目标是访问加总库的挑选函数到其他的计算机算术系统上，或者提供给那些不想用Aldor 编辑器的用户，或者提供给那些更喜欢对库用交互方式的用户。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。