查询词典 birational invariant

Then we researched the existence of periodic solution of order one of this modified model by using theories of invariant set of impulsive semi-dynamical system and Brouwer\'s fixed point.

第三章考虑了一类具有非线性传染力函数的传染病模型，其中人口出生率和死亡率相同并且患病者病愈后可自然获得免疫但一段时间后免疫力也会自然丧失。

The proposed method applies the ellipsoid invariant set to the estimated state and state estimation error. The conditions of invariance and feasibility of estimated state, as well as the stability of the closedloop system are given.

该方法采用双模控制策略，将不变椭圆集概念同时应用于观测器的状态方程和误差方程，给出估计状态不变性和控制输入可行性条件并给出了闭环系统的稳定性定理。

For its two special cases: N = 0 and R=0, based on nongradient and gradient methods respectively, neural networks for the two cases are constructed. With the Lyapunov theorem and the LaSalle invariant set principle, the proposed networks are proved to be

推广了R_0性质的定义，并证明无约束优化问题目标函数的水平集的有界性与矩阵对的R_0性质是等价的，最后运用Lyapunov稳定性理论和LaSalle不变原理，严格分析了网络模型的稳定性和收敛性，这些模

We also prove that the first invariant subspace is a proper subset of controllable state set rather than the whole of it.

并证明第一不变子空间只是能控状态集的真子集，而非其全体。

An ecology-epidemic model which takes into account the effective contact rate relying on the total number of persons is proposed and the expression of the threshold value R0 is extracted on the invariant subset.

研究了具有依赖于总人数的有效接触率的生态-传染病模型。建立了一个具有依赖于总人数的有效接触率的模型，在模型的不变子集上先求出阈值R0的表达式。

Under some conditions, we prove that random nonuniformly exponential dichotomy actually imply random uniformly exponential dichotomy. And, using the normal Lyapunov exponents, we also obtain a sufficient condition under which a random compact and invariant subset is a random forward attractor. This is a generalization of the results of Ashwin\'s.

在一定条件下，我们证明了随机非一致指数二分性蕴含着随机一致指数二分性，同时，利用法向Lyapunov指数，我们还给出了一个紧致的随机不(来源：A5cBc765C论文网www.abclunwen.com)变集能成为随机吸引子的一个充分性条件，推广并改进了Ashwin的一些结果。

Last but not least, while happens to be an ordered group, the paper gets the conclu-sion that Ωexists a largest closed θ-invariant proper subset if and only if there exists a smallestsemigroup of G strictly containing G_+.

当是一个序群时，文章得到结论：Ω存在最大θ-不变闭的真子集当且仅当存在一个严格包含G_+的G的最小半群。

In this paper, the sampling theorem is studied in the shift invariant subspace in higher dimension.

本文研究了高维平移不变子空间中的抽样定理。

There exists a nontrivial invariant subspace of $T$.

文章的结果和证明都是对的。

In particular, the paper gives a new description of the largest simultaneous invariant subspace contained in a given subspace H.

特别对 包含在给定子空间H中的最大同时不变子空间给出了新的描述。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48