Local canonical correlation coefficients and canonical variables of groups of random variables

The concepts of local correlation coefficient, local canonical correlation coefficients and local canonical variables of groups of random variables are defined, which generalize the classical concepts in two groups of random variables.These concepts together with total corresponding concepts clarify the correlativity among groups of random variables.     

一类一阶线性非齐次方程组的解法

利用二阶线性微分方程的可解定理,给出一阶线性非齐次方程组的一种新解法     

高阶微分中值定理及其应用

利用向量形式的微分中值定理,把一阶微分中值定理推广到全新的高阶微分中值定理,并研究了它的应用．     

新疆阿克提什坎金-多金属矿床微量元素地球化学

系统地研究了新疆阿尔泰诺尔特地区阿克提什坎金－多金属矿床的微量元素组成特征,并应用Ｇｒａｎｔ等位线方法讨论了热液蚀变作用过程中微量元素的行为。认为在热液蚀变作用过程中,微量元素尤其是Ａｕ、Ａｓ等,活动强烈,围岩为成矿提供了部分物质来源。文章还进行了质量迁移的定量计算。     

组合合成阵的不可约性

本文讨论了布尔矩阵的组合合成的基本性质,用图论方法找出了２级组合合成阵为不可约的一些充分条件。     

合肥地区高校安居园工程可行性研究

文章针对合肥地区高校教师住房面积普遍偏小,尤其是中青年教师住房十分困难。经过对合肥地区高等院校教师现有住房情况的调研,提出了建造高等院校教师安居园工程的设想及实施方案,对实施“科教兴皖”的战略方针具有现实意义。     

Critical slope gradient for compulsory abandonment of farmland on the hilly Loess Plateau

Scientific evidence for the upper limit of farmland is proposed. Shallow gully erosion is one of erosion types distributed extensively on sloping farmland in the hilly regions of the Loess Plateau. Field observation and aerial photos interpretation, as well as laboratory experiments show that the shallow gully erosion occurring on the steeper farmland in the hilly regions of the Loess Plateau is an important factor leading to intensive erosion on slope, because of its extensive distribution and intensive runoff collection. The data on the formation, development and distribution of shallow gullies on sloping farmland indicate that critical slope gradient for shallow gully initiation ranges from 15 to 20 degrees with an average of 18.2 degrees. Therefore, it is suggested that critical slope gradient for compulsory abandonment of farmland on the hilly Loess Plateau should be kept within the critical slope gradient for shallow gully initiation to prevent shallow gully formation in order to control soil loss more effectively. But as the first step, the cultivation on the slopes with slope larger than 25 degrees where the maximum erosion occurs should be strictly forbidden.     

考虑横向变形的薄壁箱梁计算

在符拉索夫的虚功法的理论基础上,对符氏虚功方程进行扩充,讨论多箱带悬壁的薄壁箱梁在截面横向可变形及悬臂转动情况下,截面纵向、横向位移和应力计算方法。通过算例,分析虚功方程的计算结果。     

有限co-H-复形上的同调分解(Ⅱ)

考虑与若干球的一点触空间∨ｌｋ＝１Ｓｎｋ有关的同调分解问题,得到有关结果．然后利用∨ｌｋ＝１Ｓｎｋ上的同调分解获得群［∨ｌｋ＝１Ｓｎｋ,Ｙ］的秩的表达式,即任取∨ｌｋ＝１Ｓｎｋ上的一个同伦可结合的ｃｏ－Ｈ－结构,都有ρ［∨ｌｋ＝１Ｓｎｋ,Ｙ］＝ｋ＞０βｋ（∨ｌｋ＝１Ｓｎｋ）γｋ（Ｙ）     

二阶非线性非驻定系统——周期解的存在性

讨论二阶非线性非驻定系统周期解的存在性,给出相应的例子加以说明。