查询词典 multiplication process

In comparison with traditional pipeline FFT, the complex multiplication was implemented by shifting and addition operations in order to eliminate multiplication unit and coefficient ROM.

与传统的流水线FFT比较，该模块中的复数乘法运算全部采用移位相加操作完成，因而消除了乘法器及旋转因子ROM的使用，降低了功耗。

Using bi-imaginary number representation, complex multiplication is simplified into two multiplication, instead of four ones in the previous method.

为克服空间带宽积的限制，提出了利用有限的外积乘法单元，通过矩阵分块和矢量循环流动进行任意维数矩阵与矢量运算算法，处理器利用率高。

By utilizing the complex multiplication property of the curves and using a modulo reduction and Frobenius expansion technique, it is shown that there is a fast point multiplication method without precomputation on the curves, which is 6 times faster than the ordinary repeated-double-add method.

结果显示，利用这类曲线的复乘性质，使用模约减和Frobenius展开技巧，这类曲线上存在一种不带预计算的快速点乘算法，其运算速度是通常的重复加倍-点加算法的6倍。

Utilizing the complex multiplication property of the curves and using a modulo reduction and Frobenius expansion technique, Bring forward that there is a fast point multiplication method without precomputation on the curves, which is 6 times fast than the ordinary repeated-double-add method.

针对一类特征3的Koblitz椭圆曲线的点乘算法，利用这类曲线的复乘性质，使用模约减和Frobenius展开技巧，提出一种不带预计算的快速点乘算法。

Graph theory and topology was researched to establish graphic interpreter, boolean multiplication ⊙ of a matrix is inferred and defined, and simple sub-graphs are disconnected from complex graph by the multiplication ⊙; parameterization of graph is realized through a sequence of sub-graph entities linked by constraints.

研究了图形翻译器的图论和拓扑学理论基础，推出并定义了矩阵布尔乘运算〓，使用矩阵运算〓将复杂的图形拆分成一系列简单子图；以约束关联的子图实体序列实现图形的参数化。

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。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

The dissertation expatiate on the distribute algorithm. The key operation in FIR digital filter is multiplication operation, and it can convert multiplication to look up table and addition by adopting the distribute algorithm. It is very suitable to adopt distribute algorithm in FPGA, because there are look-up tables in FPGA.

基于FPGA本身具有查找表的结构，非常适合使用分布式算法，在FIR滤波器的结构设计上，将FIR滤波器中关键的乘法运算转化为查找表的过程和加法运算的过程。

Thus, every member of UIO education is willing to dedicate oneself into our business.Our account bill carry on the principle of "addition, subtraction, multiplication and division". Addition means that we must provide the value added service to our customers, and exceed the customer's expectation; Subtraction means that we must refuse the waste inside the company; Multiplication means that we must insist to have a strong teamwork, share with everyone to gain the mutually promotion; Division means that we must refuse any illegal, wrongful or dishonest cooperation.

我们企业的账目清单执行"加减乘除"发展--"加法"：始终坚持为客户提供更多的增值服务，超越客户的期望；"减法"：始终坚持拒绝企业的内耗、最大程度的减少客户的损坏；"乘法"：始终坚持成员之间的紧密协作，优势分享，相互促进，实现企业与合作伙伴的资源共享、联盟合作；"除法"：始终坚持废除无意义的浪费，排除一切非法的、不正当的、不诚信交易与合作。

Besides, how to achieve fast point multiplication will influence the performance efficiency of the whole encryption system; in this article, for different situations, signed binary method and rolling window method are respectively applied to perform quick operation of elliptic curves point multiplication.

在密码层上实现了基于大素数域GFp=2~(192-2~(64)-1的密钥交换、ELGamal加密和椭圆曲线数字签名。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。