充分条件

The authors use the condition that some subgroups of a finite group G has a U-s-supplement or be S-quasinormal in G, to give some conditions under which the group G is supersolvable and generalize some of these results into formations.

利用群G的某些子群在G中或有F-s-补充，或为S-拟正规，给出有限群为超可解的若干充分条件，并将其中的一部分结果推广到群系中。

We obtain a sufficient condition to ensure that the supremum of real parts of all characteristic roots is less than zero.

本章的第二部分讨论了非奇异中立型退化时滞方程特征根实部集合的上确界问题，得到了判断特征根实部集合上确界小于零的充分条件。

Neutral differential equations with variable sign coefficients are separated into neutral differential equations with positive and negative coefficients by transformation. According to the characteristic of these equations, a real number set with supremum is constructed, and sufficient conditions for oscillation of all solutions to neutral equations with variable sign coefficients are obtained.

通过变换将具有变号系数的中立型微分方程分解为具有正负系数的中立型微分方程；分析具有正负系数中立型微分方程的特征，构造存在上确界的实数集；并对中立型微分方程的解作细致分析，得到了具有变号系数中立型微分方程所有解振动的充分条件。

Neutral differential equations with variable sign coefficients are separatedinto neutral differential equations with positive and negative coefficients bytransformation.According to the characteristic of these equations,a real number setwith supremum is constructed,and sufficient conditions for oscillation of all solutionsto neutral equations with variable sign coefficients are obtained.

通过变换将具有变号系数的中立型微分方程分解为具有正负系数的中立型微分方程；分析具有正负系数中立型微分方程的特征，构造存在上确界的实数集；并对中立型微分方程的解作细致分析，得到了具有变号系数中立型微分方程所有解振动的充分条件。

The formation that the network organizes is the requirement that realizes synergism, is not sufficient condition.

网络组织的形成是实现协同效应的必要条件，而不是充分条件。

Based on the theory of B spline,this paper discusses the sufficient and necessary conditions of G 1 continuity between two patches of bi cubic tensor product non uniform B spline surfaces in a special type,and gives a kind of sufficient condition of G 1 continuity so as to satisfy the need of application.

依据有关B样条理论，研究了一种特定类型的双三次张量积非均匀B样条曲面间G1光滑拼接的充要条件，且给出了此种类型的两张双三次张量积非均匀B样条曲面间G1光滑拼接的一个充分条件，以满足实际应用的需

In order to research topological vector space,the relations between strong lower K-semi continuity and continuity and K- continuity are investigated.

研究了序拓扑向量空间映射的强下K-半连续性与连续性及K-连续性之间的关系，得到了一些充分条件和必要条件

This kind of decoupling enables us to obtain more easily tractable conditions for analysis and synthesis problems.

推导了系统鲁棒H∞滤波器存在的充分条件，并将滤波器的设计转化为一组线性矩阵不等式的求解。

In this paper,it is introduced that transitivity arise some sufficient condition which sensitive dependence on initial conditions and chaos.

给出由传递性产生初值敏感及混沌的几个充分条件。

In this paper, the theoretical analysis of matrix's triangular decomposition is mainly discussed, including such as the necessary and sufficient condition of uniqueness of existence in matrix's triangular decomposition,the necessary and sufficient condition of existence and so on.

本文主要对矩阵的三角分解理论分析作了比较全面的统述，它包括矩阵三角分解存在唯一性的充要条件、存在性的充要条件、存在性的充分条件等。

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％。