乘法的

The author mainly realized the method of generating the large random numbers and judging the prime number using Lehmann means,then three pairs of secure key with different lengths (256 bits,512 bits,1024 bits) was generated to meet the demand of different security grade. In encryption module,modular multiplication arithmetic of large number was realized adopting addition chaining. In decryption module,extended Euclid was used to get inverse,and the Chinese remainder theorem was used to realize decryption,which increased the speed of decryption greatly.

作者主要实现了大随机数的生成、采用整除小素数和勒曼测试法判定素数，可以生成三种不同长度的密钥对(256位、512位、1024位)来满足不同的加密安全等级的需求；加密模块中，选用了二进制序列的乘法方法，实现了大数模幂乘运算；解密模块中，引用了扩展的欧几里德法求逆元，并采用中国剩余定理实现解密过程，大大提高了解密速度。

During the five years that we would live with my stepfather in Indonesia, I was sent first to a neighborhood Catholic school and then to a predominantly Muslim school; in both cases, my mother was less concerned with me learning the catechism or puzzling out the meaning of the muezzin's call to evening prayer than she was with whether I was properly learning my multiplication tables.

在我与继父生活在印尼的5年里，我最初被送去附近的天主教学校上学，然后被送去占主导地位的穆斯林学校；在我就读这2种学校时，我母亲对我学习天主教教义问答或是我对宣礼员召唤晚祷含义的思索的关注，和关心我是否正确地学习乘法表是一样的。

Op1 + op2 The addition operator will add two numbers. op1 - op2 The subtraction operator will subtract two numbers. op1 * op2 The multiplication operator will multiply two numbers. op1 / op2 The division operator will divide two numbers. op1 % op2 The modulus operator will return the remainder of the division of two integer operands. op1 xx op2 The exponentiation operator will raise op1 to the power of op2.++op1 The pre-increpment operator will increase the value of op1 first, then assign it. op1++ The post-increment operator will increase the value of op1 after it is assigned.--op1 The pre-decrement operator will decrease the value of op1 before it is assigned. op1-- The post-decrement operator will decrease the value of op1 after it is assigned.

op1 + op2 对两个数值做加法操作 op1 - op2 对两个数值做减法操作 op1 * op2 对两个数值做乘法操作 op1 / op2 对两个数值做除法操作 op1 % op2 求两个整型数值的余数 op1 xx op2 求幂操作：求 op1 的 op2 次幂++op1 前加操作： op1 的值先增加，然后将值赋给自身 op1++后加操作： op1 的值先赋给自身，再增加值--op1 前减操作： op1 的值先减少，然后将值赋给自身 op1—后减操作： op1 的值先赋给自身，再减少值

The implementation processes of those two algorithms on smart card with cryptographic coprocessor are explained separately. The implementation process of RSA includes modular exponentiation and modular multiplication. The process of ECC includes the selection of base field and coordinates, scalar multiplication and field operation.

本文分别阐述了两者在带有加密协处理器的智能卡平台上的实现过程，包括RSA算法中模幂运算、模乘运算的实现；ECC算法中基域的选择、坐标系的选择、标量乘法和域算术运算的实现。

In accordance with these questions, one kind of method solving these issues was put forward in this text, and namely adopting mathematics to build the method of pattern, by w-ay of studying the big needle drum system of PASSIM's cigarette machine, to use the mathematical model of big needle drum system of " black box " method establishment, and uses whole parameter and the correlation coefficient to map out the big needle drum system mathematical model of least square method, the question time lapse that what in accordance with the system exists pure adopts Smith compensator to estimate the compensator in advance solving the issue of system lag, and uses whole fixed method of frequency conversion control engineering and PLC's control engineering and PID etc to put into effect transforming to the system, and finally by way of theory verify and reality to verify to prove the success of system transformation.

针对这些问题，本文提出了一种解决这些问题的办法，即采用数学建模的方法，通过研究PASSIM卷烟机大针鼓系统，利用"黑匣子"方法建立大针鼓系统的数学模型，并运用最小二乘法整定出大针鼓系统数学模型的参数及相关系数，针对系统存在的纯时滞问题，采用史密斯预估计补偿器来解决系统滞后的问题，并利用变频控制技术和PLC控制技术、PID参数整定方法等对系统实施改造，最后通过理论验证和实际验证证明了系统改造的成功。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The number of data points can be reduced down to only several points by applying a comparison operation with a radius of least square circle to the data set prior to the construction of the farthest Voronoi diagram.

交替运用计算几何中的最远点Voronoi图的性质和统计分析方法中的最小二乘法原理，可使最后参与求解最小外接圆的样本点数减至少量几个，相应算法的运算时间比以往的最优化算法快10倍以上。

Based on the example of turbine reverse engineering , the general procedure that can be used to translate the physical object into CAD datum by Surfacer software is determined in this paper1 By going deep into the vector of point-cloud , it's parametrization can be gained by adopting the precept of accumulating chordal parametrization1 According to the principle of const ructing curve using the least square method , the high quality-curve can be gained by modifying curve's parameter1 This paper also empha2sizes on some methods about processing point-cloud , const ructing curve and const ructing surface1 And it can provide several methods to const ruct high quality2CAD model for mould machining1

此栏目为免费论文，可自行复制获取，如需要其他完整论文，可点击论文范文查找摘要本文就涡轮反求造型的实例，采用Surfacer 软件规划出由实物转化为工程CAD 资料的一般流程。在深入分析点云数据的矢量方向基础上，采用积累弦长参数化方案实现点云的参数化；根据最小二乘法曲线拟合原理，修改曲线参数获得高品质曲线；并重点论述了点云处理、曲线生成、建构曲面的方法，为模具加工提供了建构高品质CAD 模型的有效途径。

Discovering passage of event happened by tracing along terminal point of event on probability tree, utilizing multiplication formula and addition of probability again, the probability of an event may be caculated and some problems that students grasp with difficulty and make easily mistakes can be solved.

用概率树法求事件发生的概率，只需在概率树上沿事件的终点向前回溯，便可以发现事件发生的通道，再利用概率的乘法公式和概率的可加性，就解决了概率论中学生很难掌握的、容易出错的问题。

By using isothermal DSC, we obtained the relationship of , and , and by using a non-linear fitting algorithm, we obtained the value of the parameters of the curing kinetics equation, found that the autocatalytic kinetics model with independent reaction order and was more similar with the experimental result then that of .

通过等温DSC分析了不同温度下树脂固化反应的自催化动力学模型，研究了，以及的关系，并通过非线性最小二乘法模拟求出了固化动力学方程的各参数，认为和互相独立的自催化动力学模型比的模型更好地适合于乙烯基酯树脂中高温固化反应的实验结果。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了