multiplication [,mʌltipli'keiʃən]
- multiplication的基本解释
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n.
增加, 乘法, 乘法表
- The multiplication of numbers has made our club building too small.
- 会员的增加使得我们的俱乐部拥挤不堪。
- 相似词
- multiplication的反义词
- n. division
- 拼写相近单词
- multiplications
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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。
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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。
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"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。"
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multiplication:乘法
概述 乘法(Multiplication)亦是最早产生的运算之一,且出现於人类最早的文字记载当中. 中国古人及古希腊的丢番图都不用乘号(Signs of multiplication) ,但後者则以两数并列表示相乘(与加法相同). 印度的巴赫沙里残简中,把数排成表示;
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multiplication:增殖
(3) 宿主:抵抗力(resistance)与敏感性(sensitivity)(3) 侵入(invasiveness)与增殖(multiplication):即进驻与生长无生命物体感染源主要为土壤和水.在土壤中,藏匿的病原菌有真菌和细菌.真菌会造成金钱癣和全身感染;
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multiplication:乘
每次我经过麦当劳,那个大写的字母M对我说就是相乘(multiplication)的意思. 怎么样的相乘呢?比方说,假设你每个星期都向2个人来销售自己,对他们产生良好的影响(不论是朋友、同事、员工或想买汉堡的人). 这样一来,一年就有104个人受你的影响.
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multiplication:倍增
但是财富的累积不是透过相加 (addition) 而来,而是透过倍增(multiplication) !如果投资组合理想的话,更可以每年有10%至15%的复息增长. 在往后的文章,我会向大家详细讲解如何建立不同的收入来源,达致复息增长. 注2: 收入来源:主动收入(Active Income)、被动收入(Passive Income)和组合收入(Portfolio Income)
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multiplication:abbr. mul; 无符号数乘法指令
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