张量广义特征值的S-型包含区域

设{A,B}为m阶n维正则张量对,通过将指标集N={1,2,…,n}划分为非空真子集S及其补集S珚=N/S,利用分类讨论的思想以及张量对{A,B}某些元素选取的任意性和不等式缩放技巧,解决了张量对{A,B}的特征值定位问题,并给出张量对{A,B}特征值的S-型包含区域.数值结果表明,所得包含区域比已有包含区域更精确.     

星星草种群地上生物量形成规律的数学拟合

在松嫩盐碱草地上，我们对人工种植在碱斑土壤上生长一年、二年、三年、六星星草坪以及野生的天然星星草地中的星星草种群地上生物量的季节动态进行了测定，并进行数学拟合。用Ｌｏｇｉｓｔｉｃ曲线拟合时，抽穗期以前拟合情况较好，但不能很好地拟合星星草种群大生物量后衰老的过程。用一元多次曲线则能很好地拟合星星草种群地上生物量随生育时间的季节动态。     

河流COD污染通量变化规律研究

分析了两种类型河流COD污染通量变化特征。汇水面积较大的河流 ,下游断面汛期COD通量远大于点源COD入河排污量 ,典型河流断面可达其 9～ 2 2倍。这类河流COD污染通量与河水流量呈显著正相关 ,r值在 0 .90 3～ 0 .997范围 ,文中给出线性回归方程。河流点源污染量变异系数一般在 30 %～ 6 0 %,面源可达 12 7%～ 2 0 7%。     

论壮汉语s-与t-的对应

壮语里t-(t‘-)>s-的音变现象是存在的,不论是汉语,或者是壮语,它们的内部或两者之间都存在着s-与t-(t‘-)对应的规律。     

E-n-伪矩形性拟正则半群

本文是在[1]的基础上,将半群s的幂等元集E(S)由埋想推广为n-伪理想,然后来给出S的结构。本文未用到格林关系,因而证明有别于[1],而且[1]是我们的特例。     

The estimation-valued property of B-valued asymptotic martingale

In this paper, with the Doob decomposition of B-valued asymptotic martingale, we study the estimation-valued property of B-valued asymptotic martingale in Banach space B,which has the Radon-Nikodym Property and is dual-separable, and give a series of result and proof.     

一阶线性非齐次微分方程求解方法的讨论和一个简化的求解方法

本文证明了一阶线性非齐次微分方程y＇+P(x)·y=f(x)三个求解方法:参数变易法、积分公式、积分因子法之间的等同关系.从参数变易法中引出一个简化的积分公式.事实上此公式恰是对用参数变易法解高阶线性非齐次微分方程时对n=1的拓广.最后以实例验证此公式的简易.     

蒙山脆枣与枣及酸枣亲缘关系的研究

以蒙山脆枣及山东省内的9个枣品种和32个酸枣类型(株系)为试材,采用形态学分析和RAPD分析,对蒙山脆枣与枣及酸枣的亲缘关系进行研究,并初步探讨了蒙山脆枣的起源及枣的演化过程。形态学性状数据主成分分析结果表明,蒙山脆枣第1主成分值为5.42,第2主成分值为0.64,介于枣品种和酸枣类型之间,地位较为特殊。对形态学性状数据聚类,结果表明,蒙山脆枣先与酸枣1号在6.40阈值处聚为一类,再与大枣品种的聚类群在11.75阈值处聚为1类之后,才与其它酸枣类型的聚类群聚为一类,显示出蒙山脆枣的分类地位介于枣和酸枣之间。进一步的RAPD分析结果表明,蒙山脆枣与酸枣亲缘关系较近。蒙山脆枣果实长2cm左右,外果皮较薄,中果皮较厚,平均单果重为3.64g,叶片纵横径为6.93cm×3.08cm,形态学性状与枣接近,推测蒙山脆枣可能为供试酸枣类型与枣品种的中间类型。     

仿真模型中复杂三维实体集的选择与交互技术研究

鉴于目前商用图形软件包对于复杂模型中三维实体集显示与选择的局限性，本文提出了一种新的判断点与面域从属关系的方法，此方法借鉴计算机图形学中扫描转换填充算法的射线法，并在此基础上对射线法进行扩充和完善，文章同时对三维复杂实体群的交互手段和技术进行了研究，在解决实际问题中取得了良好的效果。     

The genetic diversity of cen-tral and peripheral popula-tions of ratlike hamster(Cricetulus triton)

The impact of habitat fragmentation and isolation on the genetic diversity of populations has attracted much attention in studies of meta-population and conservation biology. In this work, using the randomly amplified polymorphic DNA (RAPD) technique, we studied the genetic diversity of central, peripheral and peninsular populations of ratlike hamster, which were collected in five locations of the North China Plain and its surrounding areas, in 1999. The study revealed that, ⅰ) the genetic diversity of central population of Raoyang County＞the sub-central populations of Gu'an County and Taikang County＞the peripheral population of Shunyi District＞the peninsular population of Mentougou District; ⅱ) the genetic diversities of the five populations were positively correlated to the nearest distances to the peripheral line of population distribution; ⅲ) there were significant differences of gene frequencies of some RAPD fragments among the five populations. More RAPD fragments disappeared in peripheral populations than in central or sub-central populations. The frequencies of two RAPD fragments were correlated to the latitude. This study clearly indicated that the variation of the genetic diversities of the five populations was caused by edge effect and frag- mentation through the enhanced inbreeding and genetic drift, and thus supported the view that habitat fragmentation and related edge effect reduce the population genetic diversity.