扩展乘数法逼近问题

本文建立了扩展乘数法逼近的定量化定理;改进了徐利治与Хлодовский的一些结果。     

模糊集合论在矿山控制网布设和图纸质量评定中的应用

应用模糊数学方法研究和处理矿山测量中存在的具有“模糊性”的问题。例如控制网布设方案及矿山测量图纸质量的综合评判。它能更准确地描述用精确数学模型难以描述的问题。     

平辊薄件轧制的刚塑性有限元计算

本文用钢塑性有限元方法,对平辊同步和异步薄件轧制进行了计算,求出力能参数、速度场和应力应变场,并对二者加以比较。之后,又对异步轧制的特征进行了分析。     

On some significance tests in cluster analysis

We investigate the properties of several significance tests for distinguishing between the hypothesisH of a homogeneous population and an alternativeA involving clustering or heterogeneity, with emphasis on the case of multidimensional observationsx ₁, ...,x _n ^p . Four types of test statistics are considered: the (s-th) largest gap between observations, their mean distance (or similarity), the minimum within-cluster sum of squares resulting from a k-means algorithm, and the resulting maximum F statistic. The asymptotic distributions underH are given forn and the asymptotic power of the tests is derived for neighboring alternatives.     

基于模糊C均值聚类的二维直流电阻率与射频大地电磁联合反演

为结合直流电阻率（direct current resistivity, DCR）与射频大地电磁（radio-magnetotelluric, RMT）法反演优势,开展了二维DCR与RMT数据联合反演研究。在经典最小结构模型正则化的基础上,采用平衡算子调节两个数据间的权重,引入模糊C均值（fuzzy C-means, FCM）聚类对电阻率模型进行约束,根据数据均方根误差自动调整FCM聚类项的权重,提高了联合反演效果。通过单独反演与联合反演结果的对比,分析了两种方法的反演能力,总结了联合反演的优势。模型试算表明,DCR与RMT数据联合反演得到的电阻率模型较单独反演更接近实际模型,FCM聚类约束的应用可进一步提高联合反演的效果。     

|x|在扩展的Chebyshev结点的有理插值

研究|x|在扩展的Chebyshev结点的有理插值,得到逼近阶为O(1/(nln n)).通过数值计算发现相同逼近阶的误差与结点的密集度、结点所在曲线的凹凸性有关.     

σ—可加Fuzzy集上的Fuzzy测度

文[2]在σ-可加 Fuzzy 集上提出了可加 Fuzzy 测度的概念,得到了许多与经典测度一致的很好的结果,但在实际问题中往往会出现非可加的情况,本文研究了σ-可加 Fuzzy集上非可加测度(即 Fuzzy 测度)的结构待征及其性质,并说明文[3]中的绝大多数结果是本文的特殊情形。     

Exogenous fibronectin modifies the aggregation of collagen-stimulated human platelets

Summary Fibronectins (FN) are adhesive glycoproteins whose role in platelet aggregation is unclear. Addition of 3, 6 and 12 g/ml of human plasma FN in vitro to isolated human platelets, which had been freed from plasma FN by gel filtration and subsequently stimulated with collagen, inhibited the last stage of platelet aggregation. With 3 and 6g/ml of FN a shortening of the lag-time was also observed. These data showed that FN may play a role in platelet-collagen interaction as well as in platelet-platelet interaction.     

正规BCI-代数的“拟-广结并”构造

本文进一步讨论BCI—代数的拟结合部分的特征性质,引入正规BCI—代数的概念。同时给出一种构造正规BCI—代数的“拟—广结合并”方法。     

模糊聚类应用于MIS子系统划分的研究

本文介绍了模糊聚类应用于ＭＩＳ子系统划分的新方法,包括基于模糊等价关系的方法和基于模糊相似关系的“最大树”方法．