查询词典 commutative

The reporter is in Shanghai the discovery on the skill exchange platform of a website, the skill that the white-collar registers is multifarious: Spiccato, photograph makes guitar, all sorts of photography technology, languages, cooking, land belonging to one production unit but enclosed in that of another etc, look from commutative post, the person that exchange commonly decides study place in him home or tea lane.

记者在上海一家网站的技能交换平台上发现，白领登记的技能五花八门：吉他弹奏、照片制作、摄影技术、各种语言、烹饪、插花等，从交换帖上看，一般交换者都把学习地点定在自己家或者茶坊。

We also introduced the guage transformation, by this transformation, obtain the Lax equation and commutative family on the reduction space.

此外，还引入了规范变换，通过规范变换，就可以在约化相空间上得到Lax方程与对合系。

In chapter 3,we will consider the automorphisms of triangular matrix algebras over commutative semirings.

利用矩阵的一些性质，克服了环上可逆矩阵在半环中未必可逆的难点，证明交换半环R上的n阶三角矩阵代数Tn的自同构都是内自同构。

In quantum case,we ex-tend the Sklyanin's approach and find that unitarity condition of quantum R-matrix issufficient to construct commutative quantities with boundary,and its reflection equationsare obtained.

在量子情形下，我们把Sklyanin的构造方法扩充到一般的情形，即量子R矩阵只拥有幺正性条件。我们给出了此时守恒量的构造办法，及其相应的边界反射方程。

It should be clear that vector addition is commutative.

可清楚地看0剑0矢量加法满足对易律。

Both methods are invertible, commutative and associative, which facilitates practical manipulation and control.

约束的线性关系表明，两种方法都存在逆过程，修改的结果与过程无关，便于实际操作与控制。

In section 2 of Appendix, we give the Hamiltonian theory of generic noncommutative case, it shows that in this case, Hamiltonian theory of generic noncommutative case is corresponding to the commutative case under a new operation rule.

在附录二中本文给出了非交换情形下一般的Hamiltonian理论，它说明非交换的Hamiltonian理论与交换的Hamiltonian理论在一种新的运算规则下形式上保持一致。

In Chapter 1, briefly introduce the concept of noncommutative space and nori-commutative field theory, review the history and important results of studying the noncommutative soliton solution.

第一章，简要介绍非对易的概念及非对易场论，回顾前人在非对易孤子解方面的研究。

The free theory of noncommutative fields is the same as in the commutative case, therefore we mainly focus on the interaction of noncommutative fields.

由于非对易空间下的自由场与相应的对易空间自由场在表现形式上完全相同，因此我们主要关心场之间的相互作用。

In Chapter 2, starting from a generalization of Hensel's Lemma to non-commutative case, we introduce the Brauer characters and the generalized decomposition numbers, and construct a kind of maximal semisimple algebras; then, similarly to Puig's methods, we prove Brauer's Second Main Theorem over arbitrary fields; applying it to blocks with nilpotent coefficient extensions, a formula on characters of such blocks is given; the formula of characters of nilpotent blocks is just an easy consequence of the fomula.

在第二章中，我们将Hensel的引理推广到非交换的情况，以此为起点，定义了Brauer特征标和广义分解数，构造了一类极大的半单的代数，类似于Puig的方法，给出了任意域上Brauer的第二主要定理；作为该定理的应用，我们给出了具有幂零系数扩张的块的特征标公式，幂零块的特征标公式只是它的一个简单的推论。

This matter overthrew all basises I learned from Sunday school .

这件事把我从周日学校学到的所有道理都颠覆了。

It's one of the cruel ironies of aging: if you want to remember your favorite restaurants, the less you should eat at them.

这是一个老化的残酷讽刺：如果你想记住你最喜欢的餐馆，你应该更少吃到它们。