查询词典 sufficient condition

In this paper, the authors consider the even-order neutral difference equations with continuous arguments. By using Lebesgue' dominated convergence theorem, a necessary and sufficient condition for the existence of eventually positive and bounded solutions is obtained.

研究一类具连续变量偶数阶中立型时滞差分方程，利用Lebesgue控制收敛定理给出这类方程存在最终有界正解的一个充分必要条件，得到相应新的比较定理。

On conic optimization, we work over some properties of cone and its dual cone, and solve the relations between special cones (obtuse cone, orthogonal cone, superior and inferior obtuse cones) and their dual cones.Furthermore, sufficient and necessary condition under which they exist are proved detailed .

本文围绕锥规划问题，对锥及其对偶锥的性质进行了研究，解决了一些特殊锥(钝锥、直角锥、优劣钝锥)及其对偶锥之间的关系，并对它们存在的充要条件给予了详细的证明。

Chapter 3 Some properties in Cesaro-Orlicz sequence spaces: In this chapter, the dual spaces of the Cesaro-Orlicz sequence spaces and the criteria for the extreme point are studied and the sufficient and necessary condition of which the spaces has theλ- property and the uniformλ- property is given by the above results.

第三章Cesaro-Orlicz序列空间中的一些基本性质：本章我们主要讨论了Cesaro-Orlicz序列空间的对偶空间，同时给出此空间中端点的判据，然后由此端点的判据我们证明了Cesaro-Orlicz序列空间具有λ-性质，最后我们得到了此空间中一致λ-性质的等价条件。

The sufficient condition for nonexistence of the closed orbit is got by using the method of Dulac function.

运用Dulac函数法，得到了系统不存在闭轨的充分条件。

The sufficient condition for the inexistence of limit cycle is found using the method of Dulac function.

运用Dulac函数法，得到了系统不存在极限环的充分条件。

The sufficient condition for inexistence of the limited ring is gor by using the method of Dulac function.

文章内容丰富，方法初等，论证部分论据充分，所得结果深刻，给出的有关系统相应的全局相图精确、美观。

In theory,this paper gives a sufficient condition about effectivity of this algorithm.

并从理论上给出了算法有效的一个充分条件。

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件，以受限线性矩阵不等式形式，得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件，同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法；然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；最后的数值实例说明了所给方法的有效性和正确性。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下，讨论了一般线性模型线性估计的可容许性特征，给出了在约束条件下齐次线性估计为可容许估计的充分必要条件，同时利用齐次线性估计与非齐次线性估计之间的关系，把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

From the principle of equilibrium, a theorem of necessary and sufficient condition without loss of any working parts in the transfer lines is given, which can help us to solve the problem and obtain the accurate result.

但这样组成的大系统存在生产线的畅通、生产率的协调等问题，给系统可靠性与优化设计造成了很大的困难，长期以来没有得到很好地解决。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。