查询词典 finitely generated ideal

By using the partition theorem of unity, a continuous selection theorem for a multimap from a compact Hausdorff topological space to a finitely continuous topological spaces (simply, FC-spaces) without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given.

利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间的集值映射的连续选择定理，并从该结果和Tychonoff不动点定理，得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理，对文献中的相应结果进行了改进和一般化。

In [3], Professor Wang Xian-dong discussed the evaluation modules of Loop algebras of Lie algebras with a triangular decomposition; particularly, irreducibility of the tensor product of finitely many such modules was partially determined.

在[3]中，王宪栋教授讨论了可三角分解李代数其Loop代数的赋值模；特别值得一提的是，在一定程度上确定了有限多个赋值模其张量积的不可约性。

We show that for any subshift of finite type determined by an irreducible and aperodic matrix, there is a finitely chaotic set with full Hausdorff dimension.

指出：对于由本原方阵所决定的符号空间有限型子转移而言，存在满Hausdorff维数的有限型混沌集。

Consequently, when applied to minimize a strictly convex quadratic function, the proposed methods terminate at the solution of the problem finitely.

因此，当目标函数是严格凸的二次函数，且采用精确线性搜索时，这些修正的共轭梯度法具有共轭性和二次终止性。

Based on nonsmooth analysis theory, the viability criterion is verified under the condition that the set-valued mapping in the right hand side is a polytope and the boundary function of the region is subdifferentiable and its subdifferential is a convex hull of finitely many points.

当右端集值映射为多面体，边界为次可微函数，且次微分为有限点集凸包时，基于非光滑分析理论，给出了在一点处检验生存性条件是否成立的方法。

There are finitely many solutions to this problem.

有有限多个解决这个问题的方法。

There are only finitely many boxes, so eventually our choice procedure comes to an end.

只有有限多个盒子，所以我们的选择过程最终会结束。

Finitely,I would think this is one of the most important aspects when dealing with the public in any way.

肯定重要。我认为不论以什么方式与公众打交道都应提供友好的服务。

Home will de finitely ,have in fluence on the happiness of us and the personal development a s well , as for you,what kind of place is it ?

我们的家怎么样，直接影响着我们对幸福感受，影响着我们的个人发展，对你来说：家是一个怎样的地方？

This makes our universe finitely infinite.

这使我们的宇宙有限无限的。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。