整数的

Prime Factorization.

素因子。以刚才练习中的 isprime 和 getfactors 函数为基础编写一个函数，它接受一个整数作为参数，返回该整数所有素数因子的列表。

It is a difficult problem for a big prime integer, if we select a primitive root according to its definition the performance of the secret communication could be affected seriously since the operation cost is very high. So this paper presents and proves an algorithm for searching a primitive root with high efficiency and gives the design of flow and corresponded JAVA program.

第一步：随机选取大素数P和在GF上的本原根g，并将P和g作为公开信息；第二步：用户A想和用户B建立保密通信时，就要交换共享的密钥KAB，A随机选取整数XA(1≤XA≤P-1)，并且计算出YA=gXAmodP经共用信道传给B，将XA保密；第三步：用户B随机选取一整数XB(1≤XB≤P-1)，计算出YB=gXBmodp，也经共用

Here consists of two parts: quadratic residue code over integer ring modulo 16 residue class ring—Z〓 and integer ring modulo 2〓 residue class ring—Z〓.

讨论的内容分为两大部分：整数环模16剩余类环－－Z〓与整数环模2〓剩余类环－－Z〓上的二次剩余码。

The revised simplex method is used at first to calculate the optimal line extensions without integer constraints of the variables so that it can be determined which lines should be constructed.

第一步不考虑变量的整数约束，用修正单纯形法求解，由此可确定一部分线路是否需要建设。第二步在缩小的可选线路范围内进行整数规划计算，从而快速形成电网发展方案。

Theses models optimize combination of the equipments in the distribution station and tank cars of each technology.The integer variables and 0 ?

运用整数非线性规划理论建立前四种供气技术气化站和运输方面的设备优化组合模型，转化模型中的整数变量和0 ？

This is basic andit has many applications in the theory of diophantine equations.

并证明了，该D为给定正整数，〓且非平方数，则〓〓，其中k、l过所有适合kl=D的正整数，中有且仅有一个方程有解，这一在不定方程中有许多应用的基本结论。

The integer types have density 1, which means that there are no unrepresentable integer numbers between abt and abt (i.e. there are no gaps).

整数类型的密度为1，这意味着在 abt 和 abt 之间没有不可表示的整数。

The integer types have density 1, which means that there are no unrepresentable integer numbers between abt and abt (i.e. there are no gaps).

整数类型的密度为1，这意味著在 abt 和 abt 之间没有不可表示的整数。

It is general for Integer GCD algorithms to use one or several basic transformations which reduce the size of the inputs integers, these transformations are denned as Reduction in this paper.

另外，本文给出了约简的定义，整数GCD算法中逐步减小输入整数规模的变换都可以看作约简。

Data: all integer types, including char; truncates floating point numbers to integers

数据：所有的整数类型，包括char；截去浮点的整数。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。