整数的

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）。

In this thesis, we will mainly do research on the novel scheme for Digital image Steganography, Digital Image Secret Transmission in network and the development of the information hiding device for application. The main contributions of this thesis are as following: The novel conversion method for mapping image to complex number is proposed, and the plus, minus, multiply and complex conjugate operation of image are defined based on Positional number systems and complex number system. Following new results have been gotten: 1 The suitable complex number basis to be used to express integers is a big set. 2 Any image can be mapping into a one-to-one point. 3 Lots of image processing problem can be considered based on geometric theory.

在本论文中，研究工作集中在数字图像伪装算法的新模型、图像在网络中的加密传输的新方案和信息伪装设备的研发等三个方面，主要包括：基于位值制记数法和复数系理论，提出利用复数作为基底的数字图像新的表示方法，用复数运算定义了图像和图像间的"加"、"减"、"乘"、"共轭"等运算关系；得到理论结果： 1、能表示任何整数的复数基是很大的一个集合。2、任何一幅图像，都能和复平面上的一个点一一对应。3、可以将图像问题化归为平面几何问题处理。4、复数系下的图像表示适合用于信息伪装。

GPS precise positioning, baseline precision, general normal equation, decorrelated and admissible integer transformation, ambiguity integer solution, success rate, admissible integer estimation, pull-in region, probability density function

GPS 精密定位，基线精度，通用法方程式，降相关的可容许整数变换，模糊度的整数角，成功率，可容许整数估计，归整域，概率密度

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。

All other nonstatic data members, such as integers, pointers to integers, arrays of integers, and so on, are not initialized.

所有其它的非静态数据成员，如整数、整数指针、整数数组等等都不会被初始化。

In the procedure of using the two city block template to find centriod of object in image, the calculations are all addition and subtraction of integer digitals, and the centriod is only concern with the contour points and its neighbor point's characteristic.

利用街区距离模板搜索目标质心，算法的计算只含整数的加、减运算，而且动态质心的移动方向判断也较原算法简化。在本文提出的质心快速搜索算法中，质心只与目标的轮廓及轮廓上点的上、下、左、右点的属性有关。

Questions in this content area are based on basic operations using whole numbers, decimals, fractions, and integers; place value; square roots and approximations; the concept of exponents; scientific notation; factors; ratio, proportion, and percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simple probability; data collection, representation, and interpretation; and understanding simple descriptive statistics.

这方面的考试内容包括实数、小数、分数和整数的基本运算；位值；平方根和近似值；指数的概念；科学记数法；项；比率，比例以及百分比；只有一个未知数的线性方程；绝对值和数值的排列；初级的计数技巧和简单的概率；数据的收集、整理与说明；并理解简单的描述性统计数据。

We once believed that such things as the growth patterns of tree branches, and the networks of tree roots, the contours of mountain chains, and the directional meanderings of rivers and streams were random, because that was the simplest of explanations.

……我们曾经认为树枝的生长模式、树根的分布网络、山脊的外形轮廓，以及河流的蜿蜒曲折都是随意产生的，因为这是最简单的解释。但随着分形几何（分形几何学fractal geometry，空间具有不一定是整数的维，而存在一个分数维数。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。