整数

The discussion is based on some property of arithmetic function.

为了判断整数是否为亲和数，在讨论数论函数性质的基础上，找到一种验证一个整数是否是亲和数的方法，从而给出了f=x2x+1不与任何正整数构成亲和数的结论，这里x为偶数，即关于y的方程σf(x=σ=f+y不存在正整数解。

Given six different integers. Find the integer that does not share any common divisor (other than 1) with the other five integers.

奥！就是说，给你6个不同的整数，让你在这6个整数中找出和其他5个整数不共享任何公约数的一个整数（1除外）。

A ring of integers derived from the set of all integers according to the following rule: Let N be an integer greater than 1, and A and B be two other integers; if N is a factor of A?

由全体整数的集合按下列规则产生的整数环：设N为大于1的整数，A和B是两个其它整数，若N是A？

A ring of integers derived from the set of all integers according to the following rule: Let N be an integer greater than 1, and A and B be two other integers; if N is a factor of A·B, then A is said to be congruent to a B modulo-N.

由全体整数的集合按下列规则产生的整数环：设N为大于1的整数，A和B是两个其它整数，若N是A·B的因子，则称A与B是模N的同余式。

The rubber composition for covering a carcass cord of the present invention comprises 25 to 80 parts by mass of silica, 1 to 15 parts by mass of a silane coupling agent and 3 to 30 parts by mass of an organic vulcanizing agent represented by the following general formula (1):- n - wherein R is -(CH 2 -CH 2 -O) m -CH 2 -CH 2 -; x is an integer of 2 to 6; n is an integer of 10 to 400; and m is an integer of 2 to 5, based on 100 parts by weight of a diene rubber, and a tire prepared by using the rubber composition.

以100重量份的二烯橡胶为基准，本发明的用于包覆胎体帘线的该橡胶组合物包含25～80质量份的二氧化硅、1～15质量份的硅烷偶联剂和3～30质量份的由如下化学式(1)表示的有机硫化剂：- n -，其中R是-(CH 2 -CH 2 -O) m -CH 2 -CH 2 -；x是2～6的整数；n是10～400的整数；并且m是2～5的整数，以及使用该橡胶组合物制备的轮胎。

By using the Euclidean algorithm and invertible linear transformation over an integral ring, the solution of integral indeterminate equations of the first degree was investigated in theory, and its matrix solution based on the elementary matrix transformation was proposed.

用欧几里德算法和整数环上的可逆线性变换，从理论上对整数一次不定方程组的解进行了深入研究，提出了用矩阵的初等变换求解整数一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序。

By analyzing the compute results of the integral-exponent-function and the fractional exponent function, conclusion is obtained that the second will improve the precise for its superiority in avoiding "Romberg" phenomenon.

通过对比分析整数次幂和非整数次幂拟合的计算精度，得出了非整数次幂逼近拟合能消除龙格现象，使用非整数次幂进行拟合可使精度提高的结论。

The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization.

本课程对整数最优化的理论、算法和应用做了全面的介绍。课程分为四部分：公式和松弛、整数最优化的代数学和几何学、整数最优化的算法，以及整数最优化的拓展。

A good use of the integer type, the biggest 9999990 to support the decimal integer, It can perform large integers, plus or minus, multiplication, addition and modular, with a big round of the largest factions, extended Euclidean algorithm, the Chinese remainder theorem algorithm, Miller - Rabin primality testing algorithm, random generation of arbitrary integer spaces such as libraries, This kind of dynamic library has been used for commercial software, the reliability and speed is affirmed.

一个很好用的大整数的类，最大可支持9999990位的十进制整数，可进行大整数的加、减、乘、除和取模运算，并带有求大整数的最大公因数、扩展Euclidean算法、中国剩余定理算法、Miller-Rabin素性测试算法、随机生成任意位的大整数等函数库，这个类的动态库曾用于商业软件之中，其可靠性和速度是得到确认的。

An integer is a whole number, and can have a positive (1, 2, 3) or negative (-1,-2,-3) value.

整数是一个整数，而且可以有正整数（1，2，3）或者负整数（-1，-2，-3）。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。