等价函数

For its two special cases: N = 0 and R=0, based on nongradient and gradient methods respectively, neural networks for the two cases are constructed. With the Lyapunov theorem and the LaSalle invariant set principle, the proposed networks are proved to be

推广了R_0性质的定义，并证明无约束优化问题目标函数的水平集的有界性与矩阵对的R_0性质是等价的，最后运用Lyapunov稳定性理论和LaSalle不变原理，严格分析了网络模型的稳定性和收敛性，这些模

In the mean time we also give out a reduction way for nonlinear generalized system F =0 by use of the special projection mappings Q . Based on these we prove that the qualitative structure near the isolated equilibrium point of regular nonlinear generalized system is qualitatively equivalent with the structure near the equilibriun point of the linearization system of nonlinear generalized system, so we give out a way for qualitative analysis near equilibrium point of nonlinear generalized system.

其次，对一般形式的非线性广义系统F=0，利用特殊选择的投影函数Q，给出了一种归约方法，在此基础上，并证明了正则非线性广义系统问题的孤立平衡点的小邻域的定性结构等价于其线性化后的线性广义系统平衡点的定性结构，从而为非线性广义系统的平衡点的定性分析提供了一条途径。

First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

通过引入可靠性安全系数，并利用结构力学的三个基本方程，将结构的位移和杆件应力可靠性约束等价显示化为设计变量的线性函数，使原基于可靠性的优化模型转化为常规的序列线性规划问题，利用修正的单纯形法求解。

Byusing several technologies including linearization method, penalty function, virtual observation equation and equivalent weights method, the robust data reconciliation problem can be transformed into a least squares estimator problem.

通过使用线性化方法、罚函数法、虚拟测量方程和等价权法，鲁棒数据校正问题被转化为最小二乘估计问题。

In this paper , we have turned the fourth - dimension linear system with contant coefficient into the different equivalence systems and figured out the Liapunov\'s functions .

本文将四阶常系数线性系统化成不同的等价系统，计算出它们的李雅普诺夫函数。

Using a method of algebraic transformation such as power series expansion, it is found that, three crop water production functions, the Jensen mold, Rao model and Stewart model, are transformable mutually, and their water sensitive indices are approximately equivalent.

通过幂级数展开等代数变换发现，3种作物水分生产函数Jensen模型、Rao模型和Stewart模型可以近似相互转化，其各自水分敏感指数近似等价。

The Neumann boundary value prob-lem is firstly reduced into the equivalent natural boundary integral equation withthe kernel possessing 2nd-order singularity,and then the corresponding variationalproblem on the boundary is obtained.By applying Quak trigonometric wavelet basisBjsee(1.2.3as boundary elements and the method of expanding kernel functionto its Galerkin discretization,we obtain simple computational formulae of the en-tries in the stiffness matrix.

首先，我们将Neumann边值问题归化为等价的带有2阶强奇性核的自然边界积分方程，然后化为边界上相应的变分形式，以Hermite插值Quak三角小波基Bj见(1.2.3作为边界元并利用积分核函数展开法将其离散，得到了十分简单的刚度矩阵系数的计算公式，而且刚度矩阵具有十分简单的形式，它是分块循环对角阵。

At the same time,Security of RSA is based on the difficulty in resolving a large number.The public key and the secret key are functions of a pair of large prime numbers.The difficulty in converting the cipher text into the plaintext through the public key equals to that of resolving the product of two large prime numbers.

RSA 的安全基于大数分解的难度，其公开密钥和私人密钥是一对大素数的函数，从一个公开密钥和密文中恢复出明文的难度等价于分解两个大素数之积。

We define I-quasi-invex vector function ., I-strictly quasi-invex vector function and KT-I-strictly quasi invex vector function, and derive the above equivalent condition for unconstrained or constrained multiobjective programming.

于是，在本文的第三部分，我们定义了Ⅰ类不变拟凸、Ⅰ类严格不变拟凸、KT-Ⅰ类严格不变拟凸的向量值函数，并且在无约束或约束多目标规划中，获得了每个驻点是有效解的等价条件。

In view of network structure, FCP is equivalent to the radial basis function network.

在结构上，FCP网络同径向基函数网络是等价的。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。