初等因子

When F is an algebraically closed field char F≠2, A is similar over F to an orthogonal matrix if and only if ( 1 ) the invariant factors of A aer self-reciprocal (2) the elementary divi sors of A of the form x...

ii当F为一个代数闭域且char≠2时，F相似于一个正交矩阵的充要条件为(1)A的不变因子是自反的。(2)A的形为(X±1)~(2k)的初等因子出现偶数次。

Using the elementary methods, we studied the hybrid mean value involving Smarandache function and the least prime divisor function, and gave an asymptotic formula.

用初等的方法研究了一个Smarandache函数与最小素因子的均值，并得到一个渐近公式。

The main work of this paper is: First,we get the condition that the equation 2py~2 = 2x~3 + 3x~2 + x have no positive solution by the method of simple congruence and decomposition.

利用简单同余法、分解因子法等初等方法，给出了方程2py~2=2x~3+3x~2+x无正整数解的条件。

We show a matrix A is similar to an orthogonal matrix over a field of characteristic 2 if and only if ( 1 ) the invariant factors of A are symmetic,(2) A has at least an elementary divisor of the form ( x + 1 ) m.

本文利用矩阵方程证明如下两个结果：设F为一个域char=2，在F上矩阵A相似于一个正交矩阵的充要条件为(1)A的不变因子是对称的。(2)A至少有一个形为(X十1)的初等因子。

Next produced several kind of matrices similar determinations principle, the matrix equally in value from this has similarly drawn out the elementary divisor with the characteristic matrix, invariant factor two related concepts.

其次给出了几种矩阵相似的判定法则，矩阵相似与特征矩阵等价由此引出了初等因子，不变因子两个相关概念。

This paper gives a method that through elementary transformming the row of the matrix , the greatest common factor of the Euclidean Ring＇s factors can be found.

给出了利用矩阵的初等行变换求欧氏环中多个元素的最大公因子的方法。

With the help of its structure, this paper points out that the non-commutative finite solvable subsimple group will necessarily be a qualitative element group. And referring to the nature of qualitative element group, it can be easily identified the conditions that the ordered prime divisors in a solvable initial finite subsimple group should meet. Suppose that G is always a finite group.

利用其结构，指出了非交换可解有限次单群必为质元群，从而利用质元群的性质，可以很容易地初步确定了可解有限次单群的阶中素因子之间所必须满足的条件，主要得到下面的一些结论：定理1 G是非交换的可解有限次单群，则G′是G的唯一的非平凡正规子群，并且G′是初等交换p -群，此时| G |= p~n q，|G′|=p~n，。

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。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。