充分条件

The existence of the solution is also demonstrated according to the sufficient conditions for the solution of the elliptic variational inequality.

首先证明了所构造泛函的强制性，从而证明了所构造的等价变分不等式解的惟一性，并根据椭圆型变分不等式解存在的充分条件论证了弹塑性接触问题解的存在性，为该问题的变分极值原理的建立莫定了数学理论基础。

Some sufficient conditions are presented, which all solutions of the proposed neural network are globally exponentially convergent to the unique solution of the linear variational inequality problem.

得到了一些保证该神经网络的所有解全局指数地收敛到线性变分不等式问题的解的充分条件。

Womanhood is not a sufficient condition for princesshood; it is not enough to establish princesshood.

女人身份不是公主身份的一个充分条件；它不足以建立公主身份。

In chapter 2, we investigate the structure of finite groups under the condition that all special subgroups are conjugate-permutable subgroups and obtain some sufficient conditions for solvability, Abelian property of finite groups.

第二章主要是利用一些特殊子群的共轭置换性得到了有限群成为可解群、交换群的一些充分条件，改进和推广了文[1]和[4]中的部分结果，有些结果是新的。

There is no reason to presume that the concepts that we explore by means of this method will turn out to be analysable in terms of necessary and/or sufficient conditions.

没有什么理由假定我们用这种方法来探索的那些概念，从必要条件和/或充分条件的角度来说，到头来果真是能够得到分析的。

We expressed skepticism about whether such concepts are a priori analyzable in microphysical terms (or whether there are microphysical sufficient conditions for their application).

我们表达了针对是否有这样的概念在微观物理上是先天可分析的（或是否有对其使用来说对微观物理学上的充分条件）的怀疑。

In this paper, through stability analysis based on a novel Lyapunov function and Lyapunov's direct method, the sufficient conditions of global asymptotical stability and the deductions are given.

文中引入一种新的 Lyapunov 预选函数，采用 Lyapunov 直接法研究系统的稳定性问题，得到了系统全局渐近稳定的充分条件及推论。

Then, the Lyapunov function and linear matrix inequality methods are used to derive a sufficient condition for the asymptotical stability of the hybrid system.

然后采用李亚普诺夫函数、线性矩阵不等式的方法推导出了该混合系统渐近稳定的一个充分条件。

We obtain the sufficient conditions for the global attractivity of the zero solution and the positive equilibrium N.

研究具有多个滞量的离散Nicholson苍蝇模型的全局吸引性，获得了零解全局一致渐近稳定及正平衡态N＊全局吸引的充分条件，推广了已有的相应结论。

Secondly, combining with our previous discussion on permanence and global attractivity, we weaken our sufficient conditions for permanence and extinction of the species further, and get better results by now.

利用函数的上、下平均值，我们得到系统持久和全局吸引的充分条件，从而，推广了Ahmad和Lazer的有关结果。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。