一类多点边值问题的算法研究

针对一类拉普拉斯方程多点边值问题的数学计算方法进行了研究,构造出了一类差分格式。对该差分方法进行了误差分析,并给出了数值实验结果。     

Remote sensing of spatial patterns of urban renewal using linear spectral mixture analysis: A case of central urban area of Shanghai (1997―2000)

It is very important to integrate remote sensing with urban geography that the spectral mixture analysis technique is applied to urban land cover evolvement and its eco-environmental effect. Urban land cover is mainly composed of complicated artificial materials, which is the key factor to limit the development of the spectral mixture analysis technique. There are two main aspects in which the technique of spectral mixture analysis is applied to urban geography： one is to calculate vegetation fraction; the other is to build quantitative model of the urban impervious surface obtained from the combination between high albedo fraction and low albedo fraction. The technique of spectral mixture analysis is firstly applied to study urban renewal pattern, scale and mode which happened in Shanghai City from 1997 to 2000,     

Strategy for the mapping of interactive genes using bulked segregant analysis method and Mapmaker/Exp software

A qualitative trait is usually controlled by a single gene, but it may be sometimes controlled by two or even more genes. This phenomenon is called gene interaction. Rapidly searching for linked mo- lecular markers via bulked segregant analysis (BSA) and then constructing regional linkage map with Mapmaker/Exp has become a common approach to mapping single major genes. However, methods and computer programs developed for mapping single major genes cannot be simply applied to interactive genes because the genetic patterns of gene interac- tions are quite different from that of single-gene in- heritance. Up to now, experimental methods for quickly screening molecular markers linked to inter- active genes and statistical methods and corre- sponding computer softwares for simultaneously analyzing the linkage relationships of multiple mo- lecular markers to an interactive gene have not been available. To solve this problem, in this paper, we propose a strategy for mapping interactive genes using BSA and Mapmaker/Exp. We demonstrate that all interactive genes can be mapped by the 'BSA Mapmaker/Exp' strategy using F2 generation (in a few cases, F3 generation is also needed). As BSA and Mapmaker/Exp have been broadly used in gene mapping studies and are well known by many re- searchers, the strategies proposed in this paper will be useful for practical researches.     

催陈酒的氨基酸分析

对新生产的未经催陈处理的酒,自然陈酿3年的出厂成品酒、经催陈处理的0.33t中试酒及4.5t生产性实验的酒样,测定其17种游离氨基酸的含量,并对氨基酸含量的增减及味感进行分类,结果表明,甜味氨基酸增加较多,苦味氨基酸减少较多,结果使酒的苦涩味减少,口感更加舒适、协调,达到了陈化的目的.     

北京市SARS数学模型的建立与拟合

SARS对中国社会的发展产生了重大影响，本人经典的SIR模型为理论基础，以2003年4月21日至6月23日有关SARS的数据为参考资料，着重从教学的角度对SARS疫情进行了分析和拟合。结果表明，SIR模型能近似地描述SARS疫情的发展和变化。     

弹塑性梁柱非线性分析的变截面法

在偏心受压梁柱M.P-ψ(弯矩一轴力一曲率)关系的基础上，分析了从弹性到塑性状态时梁柱截面刚度的变化规律，建立了弹塑性梁柱非线性分析的变截面法，即采用幂函数模拟塑性梁柱截面惯性矩变化规律。应用此法可将梁柱的非线性问题转化为几何非线性问题。用本方法对实际算例的分析结果与已有的解析法结果相符。此方法为进一步研究梁柱的非线性行为提供了一种新的思路。     

干式机体有限元分析中的前处理过程

在求解计算过程越来越自动化的前提下，有限元计算结果的准确与否主要依赖于前处理过程处理是否得当，前处理过程已成为直接决定有限元计算结果成败的重要因素。本文详细阐述了I-DEAS9软件在采用薄壁干式气缸套的XN2105型柴油机机体的有限元分析前处理过程中，实体造型、单元选择、网格划分、单元质量的检查与修理、计算工况的选择及边界条件的确定与施加等方面的具体应用。通过采取整体分块、手动局部加密和自动划分网格相结合的方法建立了该机体的有限元模型。经验表明，文中所采用的思路和方法具有实用、高效、适应性强的特点，对类似的处理与分析具有借鉴意义。     

乳腺癌诊断指标的数理统计分析

以UCI机器学习知识库提供的683个乳腺癌数据为基础，利用相关分析、逐步线性回归和主成分分析等数理统计方法，对用于诊断检测乳腺癌各指标间的相互关系及主要判断指标进行了深入研究，指出细胞大小的均匀性(X2)、细胞形状的均匀性(X3)是检测乳腺癌诸指标中最重要的指标。     

低速气体流动不可压缩性理论解析

通过理想流体定常流动的理论解析,导出了微马赫数下密度的相对变化率与压强、温度的相对变化率的关系式,得到了当M<<1时的低速气体流动问题可视作不可压缩来处理的直观理论解析.     

衡枣高速公路盘古祠边坡稳定性分析

盘古祠边坡由于边坡初步设计不合理，2002年4月出现了滑坡，体积达万余m^3，滑坡治理费达40万元．为了对设计和施工起到超前预报与辅助决策的作用，本文对大量边坡工程实例进行了集成，建立了预测安全系数的ANN模型，并应用ANN技术对盘古祠边坡设计方案的Fs进行了计算，结果表明，初步设计方案导致滑坡是必然的．同时又进一步对治理后的边坡进行了Fs预测，治理方案由于Fs值较高，则是可行的，能保证更改设计后的边坡稳定。