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A new non-conforming finite element FE eigenanalysis method is developed to determine the order and angular variation of singular stress states at material and geometric discontinuities in anisotropic materials subject to antiplane shear loading.

提出采用一种非协调元有限元特征法来计算各向异性材料在反平面剪切载荷作用下的奇性应力指数和奇性场角分布。该方法没有采用奇异变换技术。与以前的几种解析法比较,结果表明这种方法的收敛性好,精度高,可以求解关于复杂几何体问题

This computing system for structural analysis has good properties of stability,approximability and unique convergence.

该系统在稳定性、收敛性和逼近性等方面具有非常良好的性能。

Theory and simulate experiment indicated the astringency and robustness of this algorithm excelled BP net.

理论和仿真实验表明,Gabor小波神经网络的收敛性和鲁棒性均明显优于BP网络。

Its convergence and asymptotic optimality are proved strictly.

证明了它的收敛性和渐近最优性。

Bionic optimization algorithms,simulating the structural characteristics,law of evolution,behavior patterns,and way of thinking of biological or biological population,are computing methods with self-organization,adaptive and self-learning abilities,as well as a good global convergence,parallelism,and robustness.

仿生优化算法是模拟生物或生物种群的结构特点、进化规律、行为模式和思维方法等形成的计算技术和方法,具有自组织、自适应和自我学习能力以及良好的全局收敛性、并行性和鲁棒性等特点。

In the third chapter, we study the approximation and weighted approximation for a kind of generalized Baskakov operators of two-variable. Using different weight functions, we discuss the convergence on weighted space of polynomials and rate of convergence with Jacobi weight for this kind of two-dimensional product-type operators, which extends the results of one-dimensional operators.

第三章研究一类二元广义Baskakov算子的逼近及其加权逼近,主要针对于不同的权函数讨论了这类乘积型的二元算子及其导数在多项式权空间上的收敛性和加Jacobi权的收敛阶,把一元的结果推广到多元的情形。

The analysis of convergence and optimality of the algorithm are also given.

分析了该算法的收敛性和最优性。

Convergence and divergence of infinite series depend upon this concept.

无穷级数的收敛性与发散性与此概念有关。

In chapter 3 constructs firstlya new differential merit function by a perturbation structure of VIP and study theproperties of this merit function.Based on this merit function,a continuation-typeNewton method is proposed,which use the technique of inexact linear search forassuring its global convergence,and improves essentially the method of Taji,Fukushima and Ibaraki which can only solve the strong monotone VIP,and has locallyquadratic convergent rate under some condition.

第三章利用变分不等式问题的一种扰动结构构造了新的可微效用函数,并研究了效用函数的性质;在此基础上,给出了一类求解一般单调变分不等式问题的连续型Newton方法CN,方法采用了不精确的线性搜索技术以确保整体收敛性,从本质上改进了Taji、Fukushima和Ibaraki方法只能求解强单调变分不等式问题的局限性,同时又保持了局部二次收敛率。

According to poisson distribution and percolation theory, we construct stock price model, and use characteristic function to prove the convergence of this model, we can get that the characteristic function of the constructed model converge on the characteristic function of the Black-Scholes function.

根据泊松分布和渗流理论构造了股票价格的随机模型,并利用特征函数的性质论证了该模型的收敛性,得出所构造的股票价格随机模型的特征函数收敛到某一个Black-Scholes公式的特征函数的结论。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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