BP网络及其应用

基函数选取和系数求解是函数逼近中的两个关键问题,目前广泛应用的回归分析或其它映射方法均有局限性。采用人工神经网络中的BP网较好地解决了这两个问题,对理论和实际的数据进行了比较与验证,结果表明.BP网络有助于提高数据处理的可靠性与预测的精度.     

全氟磺酸树脂中空纤维膜的离子交换性能的研究

本文采用静态和动态离子交换两种方法,对全氟磺酸树脂中空纤维膜的离子交换性能进行了研究。结果表明在静态离子交换过程中,膜的交换能力随着时间增加而增加,最后趋于一平衡值;金属离子的种类对膜的交换能力有很大的影响。在动态离子交换过程中,膜的交换能力随温度升高而增加。并测定了静态和动态交换过程中的各扩散系数。     

应用测力—落刀装置对积屑瘤、鳞刺的研究

本文研制了一种测力—落刀装置,对积屑瘤和鳞剌的某些问题进行了试验研究。结果表明:在积屑瘤存在的区域内,由于刀具实际前角的增加,以及切屑与积屑瘤的接触长度小于自然接触长度,从而导致了切削力的降低。积屑瘤不是整体稳定不变的,也不是高频地整体脱落后再重新生长。而是基体比较稳定,头部产生高频的分裂、成长,其分裂的部分留在工件表面成为鳞剌,同时,引起了切削力的较大波动。切削力动态分量越大,相应的鳞剌高度越高。     

最优受教育年限选择的模型分析

为进一步定量分析个人教育投资现象,构建了一般性地反映人们在就学和就业之间进行选择的最优化模型,并对影响人们教育投资决策行为的因素进行了分析.在简单的假定前提下运用数学语言再现了教育经济和劳动经济研究中的相关结论.     

Cu（Ⅱ） effect on the conformation of regenerated silk fibroin in dilute aqueous solution

Much attention has been paid to the natural mechanism of silkworm spinning due to the impressive mechanical properties of the natural fibers. In this work, we studied the effect of Cu（Ⅱ） ions on the secondary structure of Bombyx mori regenerated silk fibroin （SF） in dilute solution by circular dichroism （CD）. The results indicate that a given amount of Cu（Ⅱ） induces the SF conformational transition from random coil to β-sheet, however, further addition of Cu（Ⅱ） is unfavorable for this conversion. Meanwhile, the conformational changes induced by Cu（Ⅱ） follow a nucleation-dependent aggregation mechanism, which is similar to that found in Prion protein （PrP） denaturation and Aβ-peptide aggregations, leading to the neurodegenerative disease. This work would help one understand further the natural spinning process of silkworm. Additionally, it would be significant for the study of the nervous system diseases, because silk fibroin, extracted in large amounts from Bombyx mori silkworm gland, could be a proper model to study PrP denaturation and Aβ-peptide aggregations.     

On the Foundations of Constructive Mathematics – Especially in Relation to the Theory of Continuous Functions

We discuss the foundations of constructive mathematics, including recursive mathematics and intuitionism, in relation to classical mathematics. There are connections with the foundations of physics, due to the way in which the different branches of mathematics reflect reality. Many different axioms and their interrelationship are discussed. We show that there is a fundamental problem in BISH (Bishop’s school of constructive mathematics) with regard to its current definition of ‘continuous function’. This problem is closely related to the definition in BISH of ‘locally compact’. Possible approaches to this problem are discussed. Topology seems to be a key to understanding many issues. We offer several new simplifying axioms, which can form bridges between the various branches of constructive mathematics and classical mathematics (‘reuniting the antipodes’). We give a simplification of basic intuitionistic theory, especially with regard to so-called ‘bar induction’. We then plead for a limited number of axiomatic systems, which differentiate between the various branches of mathematics. Finally, in the appendix we offer BISH an elegant topological definition of ‘locally compact’, which unlike the current definition is equivalent to the usual classical and/or intuitionistic definition in classical and intuitionistic mathematics, respectively.     

分布交互仿真环境研究

分布交互仿真是一种新兴的仿真技术，分布交互仿真环境的研究具有重人的理论意义和实用价值。本文分析了分布交互仿真环境的功能需求，指出了它的设计原则。     

茴香酸乙酯的合成

从茴香油生产茴香醛的废渣、废液中提取副产品茴香酸，合成茴香酸乙酯。对合成条件进行了研究，取得了满意的结果。     

树与色树

给出了色树的两种性质；（１）色树相关联的两个顶点对应的串是色分划的不同色组对应的串；（２）色树顶点的对应串所含链的上等。并应用构造方法证明了任意树都是以树，从而解决了遗留问题。