查询词典 closed

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。

This is quite useful: one may safely enlarge the field ''K'', for instance to get an algebraically closed field; Jordan forms can then be computed over the large field and can be used to determine whether the given matrices are similar over the small field.

不是所有的矩阵都可以对角化，但至少在复数域内，所有的矩阵都相似于一些被称为

It is shown that, any reprersentation finite special biserial algebra has a Groebner basis theory, and a finite-dimensional basic algebra over an algebraically closed field is representation finite if and only if every module over it has a right Groebner basis theory.

证明了表示有限特殊双列代数有Groebner基，从而扩大了Groebner基理论的应用范围；证明了一个代数封闭域上的有限维代数是表示有限特殊双列代数当且仅当其上每个右模都有右Groebner基理论，从而扩大了右Groebner基理论的应用范围。

From the famous Gabriel's theorem ,a basic connected finite dimensional associative algebra A over an algebraically closed field can be looked as a quotient of a path algebra decided by a connected finite quiver Q.

由Gabriel 定理，代数闭域上基的，连通的有限维结合代数A 同构于一个由连通有限箭图Q 确定的路代数的商代数。

The amination takes place more efficiently in open air than in closed system.

以V10/γ-Al2O3为催化剂，在2 mL苯为底物的情况下nNH2OH？

In the thesis,mass transport in metallic multilayers and growth of β-FeSi2 singlecrystals in a closed quartz ampoule have been investigated.

本论文对金属多层膜质量输运过程以及在封闭石英安瓿中β-FeSi2单晶的化学气相生长进行了深入的研究工作。

With analogue computer employed as controller, expriemental open and closed loop tests are performed.

用模拟计算机作为控制器，进行了开环、闭环实验，实验结果表明取得较好的控制效果。

With the hydraulic press as the actuator, we designed a computer analogue control system by closed-loop electro hydraulic proportional valve to the moving speed of sliding block of the hydraulic press, which lays a foundation for the further key parameter control.

以试验液压机作为执行机构，设计了对液压机速度进行控制的计算机模拟量闭环电液比例流量控制系统，为进一步实现液-固挤压复合材料关键参数的控制奠定了理论基础。

By means of plane elastic complex variable method and the theory of boundary value problems for analytic function, the stress distribution of elastic body is given in closed forms.

本文研究集中力作用下带任意孔洞的各向同性半平面焊接问题，利用复变函数方法和解析函数边值问题的理论，给出了弹性体应力分布封闭形式的解。

The shift from the closed garden internet of AOL to today's anarchic online world is one of the biggest stories of the decade.

从美国在线"封闭花园式"的互联网，到今日无政府状态在线世界的转变，是这十年最重要的事件之一。

For every one of my New Year resolutions, I have been a backslider for years.

说到我的新年决心，我每年都做

With empathy and focus on a feeling level, we can all relate to the common ground of mutuality of emotions.

有了同情心和感觉上一级的重点，我们都可以涉及到相互的情感共同点。