E~n——伪对称质点集及其充分必要条件

本文提出 E~n——伪对称质点集的概念,从而推广了[1]中关于E~n 伪对称集之重要概念。我们给出 E~n——伪对称质点集的两个充分必要条件,作为其特例,从而获得E~n——伪对称集的两个新的充分必要条件。

面向无网格法的质点生成算法

介绍一种面向无网格数值模拟方法的质点生成算法。将四面体、三角形网格生成算法分别用于空间平面、曲面和实体模型,将网格单元的属性赋予单元内某一点作为质点,并生成对应质点集。为研究不同网格生成算法和质点生成算法对质点集的影响,提出一种质量评价标准,开展对不同算法组合的质量分析,得到网格生成算法和质点生成算法中的最佳组合。

一个高维加权几何不等式

利用距离几何理论与严格的分析方法证明了一个高维加权几何不等式,推广了文[1]建立的一个结果.

一个高维加权几何不等式的应用

最近,我们将距离几何理论与严格的分析方法相结合,证明了一个高维加权几何不等式,推广了一个已知的结果.本文利用该推广结果导出了许多已知或未知的有趣不等式,初步展示了这个几何不等式精彩而广泛的应用.

Immunity clone algorithm with particle swarm evolution

Combining the clonal selection mechanism of the immune system with the evolution equations of particle swarm optimization, an advanced algorithm was introduced for functions optimization. The advantages of this algorithm lies in two aspects. Via immunity operation, the diversity of the antibodies was maintained, and the speed of convergent was improved by using particle swarm evolution equations. Simulation programme and three functions were used to check the effect of the algorithm. The advanced algorithm were compared with clonal selection algorithm and particle swarm algorithm. The results show that this advanced algorithm can converge to the global optimum at a great rate in a given range, the performance of optimization is improved effectively.