查询词典 necessary and sufficient conditions

What's more important is that it is considered as the dynamic mechanism, and the sufficient and necessary conditions of further development.

本文不仅把网络化作为一种现代区域发展现象加以认识，更重要的是把它作为一种再发展的动力机制和充要条件。

This paper presents the two conditions:Sufficient condition and necessary condition for the links of perspective mapping and projective mapping.

本文给出了射影映射为透视映射的两个充要条件，这两个充要条件与射影变换为对合的充要条件是一致的。

On this basis a pure strategy solution under the condition of grey number position degree was defined and the necessary and sufficient conditions for the existence of the pure strategy solution, or the grey position saddle point were derived.

在此基础上，定义了灰数势意义下的纯策略解，且证明了这一纯策略解存在的充要条件。

According to the Routh criterion, the linear interval mathematical model system stability's necessary and sufficient conditions are the first row numbers and are all positive numbers; they equal to its lower bound over zero.

根据Routh判据，区间数学模型的线性系统稳定性的充要条件是第一列全部为正数，等价于其下界大于零。

Using the result for non-restricted model, we transform the restricted model to common model, and multi collectivity model to single collectivity model, thus, the necessary and sufficient conditions that nonhomogeneous linear estimators for Sβ are admissible in the class of nonhomogeneous linear estimators are obtained which filled the blank for admissibility for restricted linear model.

对线性等式约束的共同均值线性模型，利用无约束单总体模型的现有结果，通过适当变换，把等式约束模型向无约束转换，并把多总体转换为单总体，在矩阵损失下找到了均值参数β的条件可估函数Sβ的线性估计∑mAiyi+a在非齐次线性估计类中可容许的充要条件，填补了等式约束的共同均值线性模型可容许性方i=1面的空白。

The necessary and sufficient conditions for the semidirect product of S and T to be Clifford eventually semigroup are given.

给出了两个左正则拟半群S和T的半直积S×αT和圈积SωXT是左正则拟半群的充分必要条件。

In chapter 4, we study c-section of maximal subgroups, and get some necessary and sufficient conditions on solvability of finite groups.

第四章我们研究了极大子群的c-截断，给出了几个关于群的可解性的充要条件。

This paper discusses the influence of the θ-pairs associted to a famity of special maximal subgroups of a group on the group and establishes some necessary and sufficient conditions for a group to be solvable .

讨论有限群的一类特殊极大子群的θ-子群偶对该群可解性的影响，得到若干充要条件，推广了该方面已有的一些结论。

By using the c-supplementation of Sylow 2-subgroup and Sylow 3-subgroup, we obtain two sufficient and necessary conditions for a finite group to be solvable.

利用Sylow 2-子群和Sylow 3-子群的c-可补性得到有限群成为可解的两个充要条件，推广了几个已知的定理。

At the same time, the sufficient and necessary conditions for holding the control system robust stability are analyzed, and the stability criterion in terms of the spectral radius is presented.

分析了控制系统保证鲁棒稳定性的充要条件，给出基于谱半径的稳定判据。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。