整除

Seven is an odd number; that is, it can't be divided by two.

七是一个基数，就是不能被二整除的数。

For any positive integer n, letfn denote the index of the highest power of 2 which

对於任何正整数 n，设fn 为可整除 n！的 2 的最高乘幂的指数。例如：因为

In this paper,a new coding scheme is proposed,which is named as prefix division coding scheme.

在对现有编码机制进行综述的前提下，提出一种新的XML文档编码机制——前缀整除编码机制。

The stuff in between, including the internal Lemma, is there only to prove there exists an injective map from the group of rational points on an elliptic curve to the group of points over each finite field of prime order not dividing 2D where D is the discriminant.

证明中间的引理，主要是证明椭圆曲线上有限阶有理点到有限域上椭圆曲线的点之间的嵌入映射的存在性，其中点的阶不整除两倍的判别式2D。

Using the divisible theory of the integer,the underside conclusion is proved:for all the vertex-coloring formulas of the regular polyhedron ,let be any integer,the result of these formulas is still the integer.

利用整数的整除理论，证明了以下结论：在所有正多面体顶点着色公式中，当颜色数取任何一个整数时，这些公式的计算结果仍然是整数。

The reason that zero can not be divisor, is right?Feng XinkongIn the eighth book of six-year primary school's teaching in nine-year compulsory educationmaterials, it states that "zero can not be divisor". But we can find that the formula, a=cq, checking the dividing exactly , is same as the form of direction proportion function, y=kx; the formula of checking the dividing not exactly, a=cq+r, is same as the form of simple function.

在九年义务教育六年制小学教科书《数学》第八册中规定"零不能作除数"，但是当我们学习了正比例函数和一次函数之后就会发现，验算能整除的除法的关系式a=cq和正比例函数y=kx的表示形式相同；验算有余数除法的关系式a=cq+r与一次函数的关系式y=kx+b的表示形式相同。

"Of a second number, then the second number is a factor of the first number."

"某个数的因子是能整除该数的所有数字。例如，6 的因子有 1、2、3和 6.4 不是 6 "

The loop beginning on line 3 in showMaxFactor counts down from half the amount (starts checking if two divides the number, which would give the largest factor).

showMaxFactor 函数中第3行的循环从 amount 的一半开始计数(这样就可以检查这个数是否可以被 2 整除，如果可以，那就找到了最大的约数)。

The primary theory of numbers aspect related integer property basic content.

摘要本论文主要讨论了整数的离散性、代数性质、有序性、整除性、最大公因数与最小公倍数、素因子分解、同余等初等数论方面的有关整数性质的基本内容。

The matrix =( xi, xjp having the e-th power of the greatest common P-divisorp of xi and xj as its-entry is called the e-th power GCD matrix on S. The matrix = having the e-th power of the least common P-multiple p of xi and xj as its-entry is called the e-th power LCM matrix on 5. We obtained the following results:(1) is nonsingular for any set S;(2) If S is an FC set, then the determined of has formula Det =Jpe(x1)...Jpe, where the function Jpe is the generalized Jordan totient function;(3) A formula of the inverse of is given when S is an FC set;(4) If S is an FC set, then |.

以_P的e次方为第i行j列元素的矩阵称为定义在S上的e次幂GCD矩阵，记为；以_P的e次方为第i行j列元素的矩阵称为S上的e次幂LCM矩阵，记为，我们得到了如下结果：①定义在集合S上的e次幂GCD矩阵是非奇异的；②若S是R上的FC集，则S上的e次幂GCD矩阵的行列式Det=J_p~e(x_1)J_P~e(x_2)…，J_p~e，其中J_p~e为R上的Jordan函数；③当S为FC集时，得到了的逆矩阵~-1的表达式；④证明了当S是FC集时，整除，即等于与R上另一个矩阵的乘积。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。