基本运算

It supports base vector operations, and it is combined to scalar processing totally.

支持向量基本运算操作，并能与标量执行机制完全融合。

This article is divided into three parts:I: It gives the relevant background knowledge, mainly about the study of circulant matrices at home and abroad, the basic concepts, characteristics of circulant matrices, and the basic computing instruments which have been frequently used in matrix theory and matrix calculations.

本文共分三个部分：一：给出相关的预备知识，主要是循环矩阵研究的国内外现状和进展、文中用到的循环矩阵的基本概念、性质以及在矩阵理论和矩阵计算中经常用到基本运算工具。

It is suitable for DOS and WINDOWS act circumstances,can complete the fundamental operation of integral,simple float,double float vector,matrix and dynamic cluster analysis programming with little information.

介绍一种用C＋＋面向对象编程语言开发的动态聚类分析类模板，它适用于DOS和WINDOWS运行环境，只需较少的信息和编程，便可完成整型、单精度实型、双精度实型的向量矩阵、动态聚类分析的基本运算。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

As the objects on which multi-valued modular algebra operation is imposed usually are multivalued signals, so are the operation results. Application of ternary edge-triggered flip-flops makes us be able omit extracoding circuits in timing circuits.

由'J'多值模代数中的两个基本运算的作用对象和运算结果均为多值信号，所以它的应用避免了以往在采用基｝POOI代数的三值触发器时，由于输入、输出信号不匹配而必须增加附加编码电路的问题。

It is wellknown, composition of functions is a fundamental operation in all mathematics and has been studied for a long time, for example, in the iteration of rational functions and in the ergodic theory.

事实上函数的复合是数学各个分支上的一种基本运算，且有悠久的历史，例如有理函数的迭代或可测函数空间上的遍历理论问题。

The paper studied the query language of linear order constraint with existential quantifier under canonical forms.

本文考察了带存在量词的基于代数的线性序约束查询语言，给出其基本运算的定义和实施算法。

In order to improve the HCC speed of realization, the fast problem of implementation which are connected with basis operation on the finite field and the jacobian group is studied, and the corresponding algorithms are presents in this paper.

为提高系统的实现速度，作者主要研究了有限域和Jacobian群中基本运算的快速实现问题，在参考大量有关文献的基础上，分别给出这些运算的有效实现算法，并在系统中予以实现。

The elements in Galois field can be represented in several kinds of basis.In this paper,a Galois field elements are represented first by a polynomial basis.

在RS码的编译码电路中，主要涉及的基本运算电路单元是有限域的加法与乘法运算，其中对译码器性能影响较大的是乘法器的选择与设计。

In this paper, we propose a gridded channel router with the consideration of electromagnetic compatibility. Our approach is based on genetic algorithm and hence the selection, crossover and mutation operators which are the basic operators of genetic algorithm are applied to generate new electromagnetic interference reduced routing solutions.

本文中我们提出一个考虑电磁相容之格子化通道绕线器、我们的方法主要是以基因演算法为基础所发展出来的，利用基因演算法中选择、交配以及突变等基本运算子的重复运算来达到电磁干扰最小化的结果。

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。