充分条件

Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.

综合利用Lyapunov 函数方法，结合矩阵测度和矩阵范数的性质，通过加强不等式，给出线性多时滞系统时滞无关渐近稳定的新的充分条件。

At the same time, they proved that a multipartite matroid is representable if and only if the corresponding discrete polymatroid is representable.

他们的工作具有令人振奋的结果：通过研究多部拟阵和离散多拟阵之间的关系，他们得到了多部存取结构为理想存取结构的一个必要条件和一个充分条件，并且证明了一个多部拟阵是可表示的当且仅当其对应的离散多拟阵是可表示的。

Some properties of the pseudo umbilical surface M in R 4 are discussed and thus the lower for the tolal mean curvature of M is estimated.

本文研究了伪脐曲面M的一些性质，基于它并利用M的Gauss映射，给出了M作为R4中平坦环面的一个充分条件。

In the chapter 3,we base on the existence of periodic solution ,using the method of linearization and applying the mean value theorem and the variation-of-constants formula, we get the sufficient condition of the exponential stability of periodic solution of a class of nonlinear functional differential system .

在第三章中，建立在系统周期解存在的基础上，利用线性化的方法，根据微分中值定理和常量变差公式，得到了一类非线性泛函微分系统周期解指数稳定的充分条件。

The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space.

本文提出了中点拟凸函数的概念，在可测函数空间中，给出了中点拟凸函数拟凸的若干个充分条件。

In this paper,we generalize that Polya Theorem for composite of the entire function f is finite order to the form composite and the entire and meromorphic function f is finite order .

将Polya.G关于整函数的复合函数f为有穷级的定理推广到整函数与亚纯函数的复合函数f为有穷级，并得到f为有穷级的一些充分条件

By extending the method of the perturbation control applied to 1-D systems to 2-D discrete dynamical systems, we study its control on spatial chaos in the sense of space.

空间混沌的参数微扰控制将一维系统的参数微扰控制拓展到2-D离散动力系统上，真正从空间意义上研究2-D离散动力系统的混沌控制，实现了其空间混沌的控制，并利用Lyapunov第一方法给出了不动平面稳定的一个充分条件。

By employing the approaches for upper and lower solutions and monotone iterative technique, the authors have obtained the sufficient conditions for the existence of coupled maximal solution and minimal solution.

通过上下解方法和单调迭代技术得到了边值问题存在耦合极大解β-和极小解α-的充分条件。

The minimax estimator is compared to classical regression. Sufficient conditions of this estimator have also been derived.

得出了在各准则下相对原估计更优的充分条件，说明带随机附加信息后的估计相对于原估计的优良性。

For the monostable equation, by considering the mixing of traveling wave solutions and the solution independent of spatial variable, other new types of entire solutions are obtained.

另外，我们也利用单调动力系统理论给出了一些判断与空间变量无关的整体解存在的充分条件。

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％。