查询词典 sufficient condition

Hence, a necessary and sufficient condition for the positivity of polynomials of arbitrary degree is presented in this paper.

由此提出了任意阶多项式为正的一个充要条件，也提出了一个实用的算法。

In the preceding example, womanhood and the right royal lineage are each individually necessary conditions for princesshood and conjointly they comprise a sufficient condition for princesshood.

在这个例子中，女人身份和合法的皇家血统，各自是公主身份的必要条件，合起来就构成公主身份的充分条件。

This feature helps to get a sufficient condition with less conservativeness for the discrete system by using parameter-dependent Lyapunov function.

这个特性有助于通过依赖于参数的Lyapunov函数得到一个关于此类系统保守性更小的充分条件。

In Chapter 3, by using the continuity theorem of coincidence degree theory, we obtain a sufficient condition for the existence of positive periodic solutions to population models with impusives.

在第三章，利用重合度理论中的连续性定理研究了在脉冲作用下种群模型的全局周期解存在性。

A sufficient and necessary condition about a linear weak* densely defined operator is the generator of a contraction weak continuous operator semigroup on X* is given.

叮叫且川人蛋A川＊三5，人＞o 第三章从另一角度出发，利用定义在X"上的耗散算子刻画弱"连续算子半群的生成元。

A sufficient condition is obtained to ensure the existence and uniqueness of almost periodic solution for MAM neural network with time-varying delays by way of exponential dichotomy and contraction map theorem. Moreover, the global exponential stability of the almost periodic solution for this type of MAM neural network is proved by using Halanay inequality.

利用指数二分法结合运用压缩映射原理获得了变时滞多向联想记忆神经网络模型概周期解的唯一存在性，利用Halanay不等式证明了变时滞多向联想记忆神经网络概周期解的全局指数稳定性。

We get a sufficient and necessary condition of controllability about a sequence set which is an ideal.

得到了一个序列集合是一个理想的条件下可控的充分必要条件。

In this paper, the convergent conditions in sequence or parallel update mode and the sufficient condition with only one global stable state for Hopfield network model with discrete time and continuous states when its neurons' activation function is non-decreasing (not being strictly monotone increasing) are discussed.

主要讨论离散时间连续状态的Hopfield网络模型中当神经元的激活函数为单调增函数时，并行和串行收敛的充分条件以及具有全局惟一稳定点的充分条件。

For solving problem (1), this dissertation first presents a sufficient and necessary condition by dealing with inequalities using projection operator in convex analysis, and then proposes a kind of new neural network model based on the constraint domain:〓(2) Where P is a projection operator on Q.

本文利用凸分析中的投影算子处理不等式约束，首先给出二次规划问题(1)解存在的充分和必要条件，据于此提出一种新的基于约束区域神经网络模型〓(2)来进行求解，其中P为Q上的投影算子。

A sufficient condition of quadratic stability for the impulsive and switched systems is given with a switching law by way of convex combination and single Lyapunov function.

在有限个备选状态反馈控制器的条件下，利用凸组合技术和李雅普诺夫函数等方法，给出脉冲切换线性广义系统二次稳定的充分条件及切换律的设计。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。