查询词典 normalization theorem

Furthermore, based on the Lyapunov stability theorem, asymptotic stability results can be obtained.

此外，根据Lyapunov稳定理论，我们将能得到渐进稳定的结果。

Here′s a continuous study about paper of Cai-ping Yang,Yan-nuan Jia and otherwise on the asymptotic behavior of the intermediate value in the value theorem for integrals as the length of integral interval tends to zero.

继续杨彩萍、贾云暖等人对积分中值定理的中值当区间长度趋于零时的渐近性研究，这里又得到系列新结果。

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容：第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统，利用微分方程比较原理得到该系统一致持续生存的条件；通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

With the help of comparison theorem, sufficient conditions which guarantee permanence of the system are obtained. For the almost periodic case, by constructing a suitable Liapunov function, we obtained that the system has a unique globally asymptotically stable positive almost periodic solution. Finally, we study a multispecies predator-prey system with stage structure and Holling II type functional response.

第二部分考虑具有阶段结构的非自治扩散捕食系统，利用比较定理得到该系统持久生存的充分条件，其后在概周期情形下通过构造合适的Liapunov函数得到了保证该系统存在唯一一个全局渐近稳定的概周期解的条件。

By the corollary to Theorem 4.3, the origin is asymptotically stable.

根据定理4.3的推论，原点是渐近稳定的。

Using high-speed ADC front-end to cover a given monitor bandwidth, carrier frequency at a rough estimate and considering some of the protection zone, use less uniform bandpass sampling theorem interpolation line drawn in order to get the signal after subsampling.

详细说明：利用前端高速ADC来覆盖给定的监视带宽，在粗略估计载频并考虑一定的保护带，利用带通信号的均匀欠采样定理行内插抽取，以获得欠采样后的信号。

The main results in this chapter are as follows:Theorem 2.1.2Let〓be a countable atomic model.If〓is infinite,then〓is a countable atomic model.

本章的主要结果有：定理2.1.2若〓是可数的原子模型，〓不是〓的代数公式，则〓也是可数的原子模型。

In this paper,the asymptotic property for two kinds of ecological systems and oscillation for solutions of a neutral differential equations is studied by employing differential inequalities and using eigenvalue analysis,iterative algorithm,induction and comparison theorem etc.Here, the system\'s asymptotic property includes the uniform persistence,the global attractability of the solutions,the asmptotic stability of the solutions and the oscillation of solutions.

本文利用微分不等式、特征根分析法、迭代法、归纳法及比较原理等方法和理论，研究了两类生态模型解的渐近性和一类脉冲中立型微分方程解的振动性，其中包括模型的一致持久生存性，正平衡态的全局吸引性、局部与全局渐近稳定性以及解的振动性。

Most of the traditional maximum flow problems are based on "Augmented chain theorem".

传统的最大流问题大多都是基于"增广链定理"。

By studying the generalized automorphism groups,we obtain some results which generalize some related classical theorems,including a theorem of P.

通过研究群的广义自同构群，该文得到了若干结果，推广了一些相关的经典定理，包括P。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。