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Since the information for the generalized Jordan canonical blocks in the generalized Jordan canonical form can not be easily obtained from the characteristic polynomial and the commutative law does not hold for matrix multiplication,we compute the common form of the power of the generalized Jordan canonical form and get a concise expression for the power of the defective matrix.

考虑到不易从它的特征多项式获得构成广义若当标准型的阶数更小的广义若当块的有关信息，针对矩阵乘法不满足交换率，本文从计算广义若当标准型的幂的一般形式出发，获得实数域上亏损矩阵的幂的一个简洁表示。

According to analyzing on the consistent degree of addition modulo 2∧n with XOR addition for commutative law, the computation formulas of the probability distribution of the noise function and the square sum of the probability values were presented, which is applied on the distinguishing attack on Py. The data complexity of our attack is about 2019∧（-1）times of the data complexity of the distinguishing attack on Py proposed by Sekar et al..

通过对模2∧n加与模2加相对于交换律的相容程度的分析，给出了模2n加与模2加相对于交换律所产生的噪声函数的概率分布及其取值平方和的计算公式，并利用此结果提出了一种对Estream候选算法Py的新的区分攻击方法，该方法所需的数据复杂性约为Sekar等提出的区分攻击所需数据复杂性的2019∧（-1）。

The method uses water to boil pure heavy law to undertake to Tibetan angelica polysaccharide thick carry, with Sevag reagent and shade, cation commutative law contrasts rarefied thick polysaccharide.

方法采用水煮醇沉法对西藏当归多糖进行粗提，用Sevag试剂和阴、阳离子交换法对比纯化粗多糖。

Obviously, parsimonious, the greedy acquisitive instinct not yet corrodes the summer Locker innermost feelings affectionately softheartedly, the brutal commercial commutative law has not seized his human nature last castle.

可见，吝啬、贪婪的占有欲尚未侵蚀掉夏洛克内心的脉脉温情，残酷的商业交换律没有占领他人性的最后一座城堡。

A general method to show a commutative ring R with 1 to be not universal for GE〓 is presented.

给出了一种证明含1交换环R为非GE〓泛的环的较一般的方法。

Xu Jinzhong proved that a simple module over commutative ring is injective if and only if it is flat.

徐金中证明了交换环上单模是内射的当且仅当它为平坦的。

Every maximal ideal of every commutative ring with identity is a prime ideal.

带有单位元的交换环的任何极大理想是素理想。

We introduce the concept of compatibility of an ordering of higher level with a valuation pair for a commutative ring with unit .

本文的主要目的是把域上高层序与赋值对的相容性推广到含单位元的交换环上来。

In section 2, we give the notion of M-valuation systems for a commutative ring, and establish some basic results on M-valuation systems.

在第二节中，给出了M-赋值系统的定义，并给出了相关的结论。

Let R be a commutative Noetherian local ring, M a finite R-module and I an ideal of R.

设是交换的Noetherian局部环，I是R中的理想，M是有限生成的R-模。

It's not quite as simple as that.

并没有那么容易。

It debuted in 1992 in Japan and the United Kingdom, and 1993 in the United States.

它首次亮相于1992年在日本和英国，在美国1993年。