定理

Rties of the system are researched by using the comparison theorem of impulsive ordinary differential equations and using the solutions of dominating inpulsive ordinary differential equation to control and estimate the solutions of the system.

利用脉冲常微分方程的比较定理以及利用相应的脉冲常微分方程的解控制和估计所讨论模型的解，研究了系统模型的解的渐近性质。

Based on Floquet theory and the comparison theorem of impulsive differential equation, the analysis of global asymptotic stability of the "infectionfree" periodic solution was given.

运用Floquet乘子理论和脉冲微分方程比较定理，证明了该周期解的全局渐近稳定性，并获得了系统一致持续生存的条件。

It is found and emphasized in the paper that the complete form of differential and integral characteristic theorem automatically incorporates the shift properties in both the frequency and time domains, as well as other important properties of Fourier transform, and so it plays an important role in Fourier transform.

并强调了完整形式的微积特性定理自动地包括了Fourier变换的"频移特性"、"时延特性"等其它的重要特性，因此它在Fourier变换中具有基本的重要意义。关键词：Fourier变换微积特性，Fourier变换的极限定义式，冲激型广义函数，频移特性等

In this chapter,it investigates a new representative theorem under the condition of which themembership degree's lattice is only complete lattice.

本章也正是在值格仅为完备格的条件下，研究一种新的模糊集表现定理。

In this paper, we will investigate the matrix equation in composition over a complete Brouwerian lattice. First, we give an equivalent condition for the solvability of this equation, i.e. theorem 2.2.3 in this paper: The matrix equation in composition over a complete Brouwerian lattice is solvable iff is the minimal solution of this equation.

本文主要探讨完备Brouwer格上的型矩阵方程，首先给出该类矩阵方程可解的一个等价条件，即本文的定理2.2.3：完备Brouwer格上的型矩阵方程可解的充要条件是是它的解，且是最小解。

Firstly, this paper discusses the representation theorems which based onunion-intersection-preserving mapping and intersection-union-preserving map-ping respectively, under the condition of which the membership degree's lattice isonly complete lattice.

本文首先讨论在模糊集的值格仅为完备格时，分别基于并交映射和交并映射的模糊集表现定理。

Erent. In this chapter, under theenvironment of complete lattice, it gives some new solving methods of the threepublic problems. The tool is the representation theorem which based on union-intersection-preserving mapping and intersection-union-preserving mapping.

本章在值格仅为完备格环境下，给出了这些公开问题的新解决办法，主要工具是基于保并交映射和交并映射的模糊集表现定理。

Whereas, what worth to say is thatthe representation theorem in most of literatures is obtained by strengthen thecondition of the membership degree's lattice. Such as it needs the membershipdegree's lattice was dense complete lattice, completely distribute lattice or unitinterval, ect.

但是，值得指出的是，多数文献中的表现定理是对模糊集的值格加强限制条件下得到的，例如有些文献要求值格为稠密完备格、完全分配格或者实单位区间等等。

And based on those measures two I/O linear scalable feature selection algorithms, StaFSOS and EnFSOS, are accurately constructed. 2 On the basis of Quotient Space theory and EnFSOS , granular transformation RBF classification model, GTM-CORBUNfast is constructed. The correctness of this model is proved by complete partial lattice, lattice tree search and property preserved theorems.

二、根据商空间理论，结合本文在特征选择和RBF神经网络的研究结果，给出了基于粒度变换的分类器构造模型GTM-CORBUN〓，并证明了其对应粒度变换的完备半序格、格树搜索和分类判别函数的性质保持性定理。

A Ky Fan matching theorem for transfer compactly open covers in complete L-convex metric space s is established.

在完备L-凸度量空间中建立了一个转移紧开覆盖的Ky Fan匹配定理。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新