查询词典 necessary condition

A sufficient and necessary condition for nonlinear continuous-time associate memory neural networks to be locally exponentially stable is obtained, and a unction is defined for characterizing the domain of attraction of equilibrium point.

摘要讨论非线性连续联想记忆神经网络平衡点局部指数稳定的判定条件及平衡点指数吸引域的估计，得到了平衡点局部指数稳定的充要条件，并引入一个特征函数，可以判定平衡点的邻域是否为指数吸引域。

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。

This loss of the form of the word represents a great easement for the thought-processes and may be a necessary condition for the existence of science, but art could never be satisfied with this eroded word.

这个词的损失的形式代表，伟大的缓和进程的思想和科学可能是存在的必要条件，但艺术是永远不会满足于这个词的侵蚀。

This is a necessary condition for the electric field to be zero .

这是使电场为0的一个必要条件。

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法，对该非线性方程进行求解，得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解，讨论了这些解存在的必要条件，这与定性分析的结果完全相同。

The chaotic planar attitude motion of a ligid spacecraft on an elliptic orbit in the gravitational field with air drag and internal damping and its control are studied. The necessary condition of occurring chaos is established by Melnikov's method. A numerical example is presented.

研究了同时存在大气阻力和结构内阻尼的椭圆轨道上平面天平动航天器的混沌姿态运动及其控制，应用〓方法给出了出现混沌的必要条件，用数值算例进行了验证。

energy-efficient building is a necessary condition for economic development.

节能建筑是发展经济的必要条件。

Also, the paper gives a sufficient and necessary condition for a knot being equivalent to a trivial knot.

给出一个纽结等价於平凡纽结的充要条件。

The results show that the stress corrosion is the main failure causing of the bellows expansion joint,while the local pit corrosion,residual stress and the working stress is the necessary condition.

结果表明，应力腐蚀是该膨胀节失效的主要原因，而局部的点蚀和残余应力、工作应力是应力腐蚀的必要条件。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。