有限维的

It was proved that the existence of an absorbing set and a global finite dimensional attractor which is compact, connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations.

利用了无穷维动力系统理论，证明了两个高频模态耦合的Ginzburg-Landau方程在函数空间中存在吸引域，因而存在连通的、有限维的紧的整体吸引子。

In the study of the recognition of bifurcation broblems, Gaffney establishes D -equivalence theory by introducing unipotent algebraic group and nilpotent Lie algebras.

借助于奇点理论中的一个基本概念，这一问题常常可以转化为有限维的情形来处理。

Let g be a finite dimensional complex semisimple Lie algebra with the Cartan subalgebra h.

令g为一个有限维的复半单李代数，而h是g的Cartan子李代数。

In infinite dimensional RDS, different to finite case, the cocycle can be usually considered only in the positive half-time line.

无穷维的随机动力系(来源：ABd454C论文网www.abclunwen.com)统和有限维的相比，其中的cocycle往往只能定义在正半时间轴上，为此我们首先对无穷维半动力系统进行了负向延拓，使得在负半时间轴上也有定义。

The main aim of this paper is to classify finite dimensional Hopf algebras, especially basic Hopf algebras.

本论文的主要目的是分类有限维的Hopf代数，特别地去分类有限维的基本Hopf代数。

Then,the Galerkin method was used to obtain a finite-dimensional dynamical system.

并利用Galerkin方法得到一个有限维的动力系统。

Note that regularized problems are usually defined in an infinite setting and have to be discTetized for an implementation and there have been many comparatively adult methods of calculating singular system. Therefore, there is no need to avoid the calculation of singular system in inverse problems calculating of numeric value. Here TSVD Regularization Method is very simple and quite effective one.

考虑到反问题的数值计算需要将问题离散化，化为有限维的问题来进行处理，而对于有限维算子的奇异系的计算已经有了相当成熟的各种算法，因此在反问题的数值计算中没有必要避开奇异系的计算，此时TSVD正则化方法是十分简单并相当有效的正则化方法。

From given controller rank number sets out, the L1 problem translate into of will infinite dimension is finite the linear programming problem of dimension.

从给定的控制器阶数出发，将无限维的l1新问题转化为有限维的线性规划新问题。

Comparing to the deterministic case, the base space of RDS is one probability space without any topology, which is one of the essential difficulties from the deterministic case to random case. We conquer the difficulty in this paper.

随机动力系统和确定性动力系统相比，它的底空间是一个没有任何拓扑结构的概率测度空间，这一点恰是从确定性系统到随机动力系统的一个本质困难之一，无论是对有限维的情形还是对无穷维的情形。

The formulation of power system transient stability preventive control based on optimal power flow is presents in this thesis, in which multicontingency is considered. The infinite dimensions nonlinear optimization problem in which differential-algebraic equations are existed is changing into finite dimensions difference-algebraic equations by implicit trapezoid method.

建立了基于最优潮流的电力系统暂态稳定预防控制模型，通过隐式梯形法将含有发电机动态微分-代数方程和暂态稳定约束的无限维优化问题转换成有限维的常规静态最优潮流问题。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。