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This thesis is mainly about to discuss the commutativity and the algebra properties of dual Toeplitz operators, and to prove the boundedness and compactness of products of Hankel operators in the several complex variables.

本文主要研究的是多变量的对偶Toeplitz算子的交换性和代数性质,以及Hankel算子乘积的有界性和紧性。

It is appropriate to deal with the discrete and multi-variable combined optimization problem.

遗传算法是一种基于自然选择和进化机制而形成的一种自适应全局优化算法,它非常合适处理离散的、多变量的组合优化问题。

The genetic algorithm is a kind of self-adapting optimization method based on the mechanics of natural selection and evolution. It is appropriate to deal with the discrete and multi-variable combined optimization problem.

遗传算法是一种基于自然选择和进化机制而形成的一种自适应全局优化算法,它非常合适处理离散的、多变量的组合优化问题。

Moreover, we prove that the discriminability remains the same no matter the projection vector is calculated from the original MR volumes or from the smoothed ones.

此种多变量的计量方法能突显群组间较为细微的结构性差异,很适合用於分析脑部结构差异的研究。

I. Altman inventively established multi-variable Z-score creditmodel in 1968, credit risk management has changed from classical qualitative analysisto modern quantitative management. There are several models that have beenacknowledged, for example, KMV, Credit Risk Plus, Credit Metrics, Credit PortfolioView Model and so on.

I。 Altman1在 1968 年开创性地建立了多变量的 Z 计分信用模型之后,信贷风险管理就实现了从古典的定性分析向现代定量技术管理理念的飞跃,并由此掀起了对现代信用风险管理量化技术与方法研究的热潮。

In particular, a multivariate t distribution is attained to characterize the prediction information corresponding to HMM mean vector and precision matrix.

在实作上我们采用一个多变量的t 分布来代表所选出隐藏式马可夫模型所对应平均向量及预测矩阵的预估资讯之特性。

It is also necessary to improve the effective integration of quantitative and qualitative data so as to study the optimum strategy and potential impacts on the economy more precisely.

希望在今后的研究中还可以在更加细分谈判标的基础上,建立考察更多变量的动态局部均衡模型,深化应用动态一般均衡模型,对定量和定性数据进行有效融合等改进,从而可以更精确地对最优策略和潜在经济影响进行研究。

Since most of the studies are based on the Hardy space and the Bergman space of the unit disk, there is still a lack of their properties on the higher dimensional region for the reason that the topological boundary of the higher dimensional region is very complicated and the multi-dimensional complex analysis theory is very whimsical, which make it difficult to be extended.

但对于多变量的Toeplitz算子和Hankel算子还有很多基本问题没有解决,对它们的研究也变得更加困难。一个很重要的原因就是高维区域的拓扑边界变得非常复杂以及多元复分析理论在其中的应用也更困难。

In this way, triers will use the method better to solve the evaluation problems in different environment type.

论文的第二部分意图提出一个场所经验的总体的、多变量的模型,并以此为理论基础构建场所评价的框架。

Multi-rod inverted pendulums are typical multi-variable nonlinear systems, that their movement control is very difficult.

变论域自适应模糊控制器是处理非线性系统的有效工具之一。多级倒立摆为多变量的非线性系统,它的运动控制十分困难。

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