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In the fifth section, we obtain some sufficient conditions under which a class of a planar quintic system has at most two limit cycles by transforming it into Abel equation.

第五章讨论了一类可化为Abel方程的五次多项式系统的极限环的个数，得到此类平面五次多项式系统至多存在两个极限环的充分条件。

Kimmerle proved that Coleman outer automorphism group is abelian and gave some sufficient conditions on the group being a p — group and trivial group.

Kimmerle又证明了该群还是交换群，而且他们给出了Coleman外自同构群是p'-群的一些充分条件和该群为平凡群的情况。

Attempted analyses of concepts in terms of necessary and sufficient conditions, even where they fail, abet discovery.

试图从必要条件和充分条件的角度来分析概念，即便失败了，也能有所发现。

But the rolling theory and design methods of abnormity section ring are scarce, and it is not sufficient for need of development.

而关于异形截面环件轧制成形理论和技术设计方法的研究尚处于起步阶段，远远不能满足其轧制成形生产发展的需要。

In our view, this would probably not be sufficient to abort the economic recovery in the euro area.

在我们看来，这中情况可能将不足以停止欧元区的经济复苏。

America's overall foreign population control program is a $543.6 million program which offers various abortifacient drugs to poor third-world women instead of sufficient medical supplies and nutrition for their children.

美国的人口控制计划是一个整体对外$543600000计画提供各种引产药物不良第三世界妇女不是足够的营养和医疗用品为子女。

The inhibition efficiency inside O. C. was more than 90％at the above-stated NO_3~- concentration. The addition of sufficient NO_3~- cancause the steel in occluded cell to become passive, so that O. C. C. can be retarded.

因此，在主体溶液中加入适量NO_3~-能导致闭塞区钝化，从而对孔蚀、缝隙腐蚀及应力腐蚀破裂起缓蚀作用。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

Based on the new functional, delay-dependent sufficient conditions for absolute stability are derived in terms of linear matrix inequalities.

并由此基于线性矩阵不等式，得到了系统与时滞相关绝对稳定的充分条件。

Several sufficient conditions of absolute stability are established, and definiteresults are obtained for some cases of the so-called Letov's problem.

建立了绝对稳定性的若干充分判据，并对所谓列托夫问题的几个情况给出了肯定的回答。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。