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Theformulation of this model is simpler and the generalized derivative is easier tocompute,so the method is easier to implement.

这不仅使方法列式更加简洁，而且广义导数的计算也更加容易，使算法更便于实现。

For the previous nonsmooth equations model and fixed mesh method, a new nonsmooth damped Newton method is given based on the definition of the generalized derivative.

本文对不动点法的收敛性分析为迭代法的收敛提供了理论依据。

The nonsmooth damped Newton method is given based on the definitions of the generalized derivative.

数值试验结果也表明该算法同光滑化算法同样有效。

Generalized derivative ; basic deformation ; generalied equilibrium differential equation

广义导数；基本变形；广义平衡微分方程

But the introduction of new basis functions also poses a new problem, that is, the complexity of computation of two matrixes' elements in the derivative generalized eigenvalue problem in NMM. Fortunately we found a recursive algorithm and solved it concisely.

在引入幅度基函数和斜度基函数后，广义特征值问题中矩阵元素的计算变的繁琐，我们运用一种递推算法简洁地解决了这个问题。

On the basic that existing second-order sufficient condition for an isolated minimizer of order 2 for unconstrained multi-objective optimization, using the so called oriented distance from a point to a set, l-stable function and generalized second-order Peano direction derivative, some second-order sufficient conditions for an isolated minimizer of order 2 for constrained multiobjective optimization problems with l-stable functions are obtained.

在已有的无约束l-稳定函数多目标优化问题的二阶充分条件的基础上，借助定向距离函数和l-稳定函数的性质及引入的广义二阶Peano方向导数，进一步刻画了具有抽象约束的l-稳定函数的多目标优化问题的二阶孤立极小点的二阶充分条件。

The derivatives of the nonsmooth equations are computed to make the generalized derivative matrix nonsingular. Then the nonsmmoth damped Newton method is used to solve them.Analytic solutions of the KdV equation with variable coefficients: Shallow water wave problems belong to problems of free surface wave, and can be molded by the nonsmooth equations model given above in principle.

在前面建立的非光滑方程组数学模型和固定网格法基础上，利用广义导数的概念给出了求解渗流自由面的一种新方法-----非光滑阻尼牛顿法，该法是对非光滑方程组求导，适当的处理广义导数矩阵使其非奇异，利用非光滑牛顿法求解。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

A method is proposed for computing the balance parameter between entropy and the generalized weighted distance.

给出了联合熵和加权广义距离之间平衡参数的确定方法。

New type of fuzzy clustering model, based on least sum of entropy and generalized distance of weight, has been put forward. Weight of indexes is considered in the model.

4提出了基于模糊熵及权广义距离之和最小的新型的模糊聚类模型，该模型考虑了指标的权重。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。