查询词典 multiplication

Firstly, some basic concepts about ECC are introduced;then the scalar multiplication under affine coordinate is discussed, we make a research and analysis of the side channel attack of scalar multiplication used in portable device, give out a new scalar multiplication algorithm which has the advantage of efficiency over other protected algorithm; and an improvement of the standard scalar multiplication algorithm proposed by IEEE1363 is made with the efficiency increasing by about 10%; at last, we deal with the using of complex multiplication in scalar multiplication algorithm, we generalize the methods and deduce a complete computing procedure, with proposing a new method which used several different fast endomorphism ,we give out an approach to boost the scalar multiplication with fast endomorphism.

本文首先介绍了椭圆曲线密码的有关基本概念；其次介绍了椭圆曲线上点的标量乘法在仿射坐标下的计算，对一般便携设备上的椭圆曲线点的标量乘法的边信道攻击做了研究与分析，给出了一种在效率上优于其它可抵抗边信道攻击的标量乘法的新算法，并对IEEE P1363 标准给出的标量乘法做了改进，使得标量乘法的运算效率提高了近10%；最后介绍了利用复乘计算标量乘法的方法，对已有的方法进行总结归纳，得出完整的计算过程，并针对两类超奇异椭圆曲线给出了一种利用多个可快速计算的复乘的标量乘法，得出一类普遍的结果，并给出了进一步用复乘加快标量乘法的思路。

The method this paper discussed was based following theoretic analysis: Square and multiplication of large integer are two basic operations in modular exponential m_ary algorithm. The main operations of m_ary algorithm of point multiplication in elliptic curve encryption were doublings and point addition. The steps of m_ary algorithm in point multiplication was similar to modular exponential.

其基于以下理论分析：模幂m_ary算法的基本运算为大数乘法，其中包括大数平方算法和一般大数乘法；椭圆曲线加密算法中点乘的m_ary算法步骤与模幂的m_ary算法相同，后者的基本运算为倍乘和加法。

"A set of elements having two operations, designated addition and multiplication , satisfying the conditions that multiplication is distributive over addition and that both operations are associative and commutative for all elements of the set, with the exception of the additive identity element, which is not commutative in respect to multiplication ."

"一组元素，进行加法和乘法两种运算，满足条件：乘法运算需分配于加法之中，这组元素要将这两种运算结合且换进行，附加的就乘法而言不可交换的恒等元素除外。"

Mathematics A set of elements having two operations, designated addition and multiplication, satisfying the conditions that multiplication is distributive over addition and that both operations are associative and commutative for all elements of the set, with the exception of the additive identity element, which is not commutative in respect to multiplication.

域，体：进行加法和乘法两种运算的一组数，满足如下条件，即乘法分配律同样适用于加法分配律，各数在做加法和乘法两种运算中可相互结合并交换，但在乘法中不可交换的加性恒等幺元除外

We use Hodges-Lehmann statistic to do significance test for those factors. The multiplication model is applied in the quantitative analysis and weighted least squares method is introduced to solve the multiplication model. Although the matrix of coefficients is not of full rank and the solutions of the multiplication model are not unique, we prove that all those solutions are equivalent in some sense.

本文用Hodges-Lehmann统计量对风险因子作显著性检验，将乘法模型用于数据修匀和风险因子的定量分析中，并提出了用加权最小二乘法求解风险因子的风险度量，在系数矩阵不满秩、解不唯一的情况下证明了所有解在某种意义下的等价性。

The improved multiplication algorithm, can be a sign five multiplication, just change a few numbers can be easily extended to more digits multiplication process.

详细说明：采用改进的乘法算法，可进行有符号5位乘法运算，只需更改几个数字便可轻松扩展成更多位数乘法运算程序。

It turned out reproduction rete of chrysanthemum was raised,the regular,non-plant diseases and insect pests could be offered to the market. Shoot tip were used as explants to study the effects of different sterilization methods, illumination intensity and concentrations of 6-BA and NAA on shoot propagation. Rooting with perlite, vermiculite and river sand instead of agar was studied. In the process of preliminary multiplication, the effect of using 0.1% HgCl_2 in sterilization of explants was better than using saturated bleaching solution. The highest multiplication rate was found under whole illumination. MS media with 6-BA from 0.2 mg·L~(-1) to 5 mg·L~(-1) and NAA from 0.05 mg·L~(-1) to 2 mg·L~(-1) were tested and as a result, the highest differentiation rate and the multiplication rate was reached with 0.2 mg·L~(-1) 6-BA, 0.05 mg·L~(-1) NAA.

本实验以菊花的茎尖为外植体，研究了不同灭菌方法，光照强度，全光照、半光照和弱光处理以及不同6-BA和NAA浓度及配比对于试管苗增殖的影响，并研究了珍珠岩、蛭石和河砂等琼脂替代物对于菊花生根的影响，结果表明：在初代培养物建立的过程中采用0.1％升汞进行表面灭菌的效果好于饱和漂白粉的灭菌效果；在全光照条件下外植体的增殖倍数最高；在试管苗增殖培养的过程中，以MS为基本培养基，并在培养基中添加0.2～5mg·L~(-1)6-BA和0.05～2mg·L~(-1)NAA，其中0.2mg·L~(-1)6-BA和0.05mg·L~(-1)NAA最适于外植体的分化和增殖，其分化率为100％，增殖倍数为12。

Based on the analysis to cascading system of electron multiplication, one more general hypothesis about multiplication process statistics is prompted, and the expressions of noise factor and gain variation factor in cascading multiplication system and their relationships are given.

标 签 电子倍增级联系统噪声因子增益起伏因子 electron multiplication cascading system noise factor gain variation factor

A high-performance modular exponentiation coprocessor, SEA, is presented here, and three novel ways are employed. First, a parallel binary modular exponentiation algorithm is used to decrease cycles, and a high radix Montgomery modular multiplication algorithm is modified to the radix based high radix Montgomery modular multiplication algorithm to increase the frequency; second when mapping algorithms to a systolic array, modular square and modular multiplication are alternatively computed to cover up the dependencies between iterations in the RBHRMMM algorithm and the bypass is used to eliminate the dependencies in the PBME algorithm; third, multipliers are split first, and then accumulations are compressed as partial products to decrease carry propagation delay in the critical path.

SEA是一种针对大数模幂的高性能协处理器，其主要采用如下3种加速方法：①采用二进位并行模幂算法和以基数长度为处理字长的高基数Montgomery算法；②将算法映射到脉动阵列处理结构，并交替计算平方和乘以掩盖RBHRMMM算法中的相关，同时应用定向技术消除PBME算法中的相关；③基於"先拆分乘法、后将累加压缩"的思想优化关键路径。

It holds for the integers with addition and multiplication, but it does not hold for matrix multiplication or quaternion multiplication .

它所拥有的整数加法和乘法的，但是它并不拥有的矩阵乘法或四元数乘法。

We are interested in your suggestions about appointing us to be the single dealer.

对贵方建议由我方担任独家经销商一事，我们颇感兴趣。

Three types of empty-shell marriages have been identified. In a devitalized relationship husband and wife lack excitement or any real interest in their spouse or their marriage.

一种是死气沉沉的婚姻：在这种婚姻关系中夫妻俩对于配偶或婚姻缺乏激情，或者缺乏真正的兴趣。