充分条件

And the corresponding sufficient condition can be got with respect to classΓ prior distribution in restricted space.

容许估计的充分条件，并将此方法推广到限制空间中该类先验分布族Γ的情形。

For the some classes of neural networks with time delays, by constructing proper vector Liapunov functions and nonlinear integro-differential inequalities involving both variable delays and unbounded delay, using matrix theory, sufficient conditions for absolute exponential stability are obtained.

对于几类具有变时间滞后和无穷时滞的人工神经网络，利用矢量Liapunov函数法，得到了的神经网络平衡点指数稳定的充分条件。

A theorem of the alternative for the generalized subconvexlike set-valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set-valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top-base constrained optimization of set-valued maps with the Benson proper efficiency are obtained.

刘莹 ，刘三阳，盛宝怀运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理。引入向量优化弱Benson真有效元的概念，对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足Lagrange乘子型的必要及充分条件，并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件。

We study the properties of BR0-algebra and the total complication triple I method on complete BR0-algebra, and we apply the results to R0-Unite interval W. Not only we have simplified the proof of the results of R0-type triple I method on R0-Unite interval W, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the R0-type triple I method is a matching fuzzy inference with B?

研究了基础BR0-代数的性质和基于完备基础BR0-代数的全蕴涵三I算法，对—般蕴涵算子给出了三I算法解存在的—个充分条件，并将结果应用于R0-单位区间W，不但极大的简化了R0-单位区间W的R0-型α-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了R0-型三I算法是与B？

Sufficient conditions of linear and quadratic feedback stabilizability are obtained for nonlinear systems with uncontrollable critical mode (a single zero eigenvalue, or a pair of pure imaginary eigenvalues), corresponding algorithms are given for constructing stabilizing laws.

结合中心流形方法和范式理论研究了临界情形下非线性系统的稳定性问题，针对临界模态为单零特征值、一对纯虚特征值和一对零特征值的情形，分别获得了渐近稳定或不稳定的充分条件，给出了相应稳定性判据。

First, a new integral inequality for quadratic terms is established by using the Park inequality. Next, the integral inequality in combination with the Lyapunov-Krasovskii functional method is used to derive a new delay dependent sufficient condition based on LMI which can guarantee that the closed-loop system is not only internal asymptotically stable but also with the prescribed H-infinity performance via the slow subsystem's memoryless state feedback.

首先利用Park不等式建立了一个基於二次型项的积分不等式，然后利用Lyapunov-Krasovskii泛函方法，获得了系统经慢子系统的无记忆状态反馈后不仅内部稳定，而且具有给定的H性能的，基於LMI的时滞相关充分条件。

It is shown that a fuzzy subset of a BCI algebra is an FSI ideal if and only if it is both an FSC ideal and a fuzzy BCI positive implicative ideal.2. A new class of quotient BCK/BCI algebras and a new class of bounded quotient BCK algebra are constructed, respectively. By investigating their applications, it is shown that these quotient structures are more reasonable than ever before and possess good properties.

构造了一类新的商BCK／BCI代数和一类新的有界商BCK代数，利用这种构造，各类型商BCK／BCI代数可以被相应的Fuzzy理想／滤子完全刻画，以往的商构造被Fuzzy理想／滤子刻画时只有充分条件而没有必要条件，因此新构造弥补了以往构造的不足，比以往的构造更加合理。

In this paper, we get several properties about this kind of matrix including three adequate conditions and two contract forms according to the important properties of regular matrix and exchangeable matrix.

利用正规矩阵和乘积可交换矩阵的重要性质，给出了亚正定矩阵的三个充分条件以及其合同矩阵的两个分解形式。

It is assumed that the reinsurer's risk must be less than a given constant and in such a condition the optimal reinsurance contract in order to minimize the insurer's risk is found out.

对于原保险人的风险度量，本文采用了方差风险函数、半方差风险函数和最小一乘L_1风险函数，并且分别讨论了这三种风险度量下最优再保险函数存在的充分条件。

By utilizing Schur complement formula and the related notion of LMI, a series of sufficient conditions are presented, which guarantee the robustly globally uniformlyasymptotic stability of the closed-loop switched system.

利用Schur补公式和线性矩阵不等式的相关概念，给出了闭环切换系统鲁棒全局一致渐近稳定的一系列充分条件。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！