f—M—余正则序列和f—余模

在对模的正则序列、余正则序列及f-正则序列性质学习与研究的基础上，定义了拟局部环（A,Ψ）（Ψ为A的唯一极大理想）上Artin模M的f-余正则序列并给出了一些简单性质，由此定义了一类模－f-余模，并将f-余正则序列用于一类特殊的广义分式模，得到了一个正合性原理。     

广义半内积空间中的Berberian技巧

解决广义半内积空间中的Ｂｅｒｂｅｒｉａｎ技巧，并利用该技巧得到自反、严格凸的Ｂａｎａｃｈ空间中广义ｐ自共轭算子的谱的性质。     

Improved generalized cell mapping for global analysis of dynamical systems

Three main parts of generalized cell mapping are improved for global analysis.A simple method,which is not based on the theory of digraphs,is presented to locate complete self-cycling sets that correspond to attractors and unstable invariant sets involving saddle,unstable periodic orbit and chaotic saddle.Refinement for complete self-cycling sets is developed to locate attractors and unstable invariant sets with high degree of accuracy,which can start with a coarse cell structure.A nonuniformly interior-and...     

The structure and the sufficint and necessary conditions for generalized statistically self-similar sets

We constructed a class of generalized statistically self-similar sets and give the necessary and sufficent conditions to ensure a random recursive set being a generalized statistically self-similar set. The statistically self-similar sets defined by Hutchinson, Falconer, Graf are the special cases of ours. Foundation item: Supported by the National Natural Science Foundation of China Biography: DENG Ai-jiao (1974-), female, Ph.D. candidate, research interes: is in stochastic process and random ractal     

Oppenheim定理的推广

建立了（ＣＰ）Ｄｎ类复广义正定矩阵的Ｏｐｐｅｎｈｅｉｍ定理，推广了已有结果。     

广义m级次加泛函族的一致有界原理

定义了ｍ级次加泛函与（广义）ｍ级次泛函数的概念，得出了这类泛函数的一致有界原理，从而推广了拟加泛函数的相应结论。     

函数空间L~(p_1,p_2,…,p_n)(X_1×X_2×…×X_n)

本文研究函数空间L~(p1,p2,…，pn)（X1×X2×…×Xn），它是L~P（X）的推广。同时还推广了积分型Minkowski不等式和Holder不等式。     

Using the bootstrap to evaluate forecasting equations

The bootstrap, like the jack-knife, is a technique for estimating standard errors. The idea is to use Monte Carlo simulation, based on a non-parametric estimate of the underlying error distribution. The bootstrap will be applied to an econometric equation describing the demand for energy by industry, to determine multi-period forecasting error and choose among competing specifications. The delta method for estimating forecast errors turns out to be too optimistic by a factor of 2.     

沾化凹陷罗家鼻状构造油气运移富集规律研究

近岸水下扇储集砂体是中国陆相含油气盆地碎屑岩储集体的重要组成部分。该文在对沾化凹陷罗家鼻状构造沙四上段沉积微相、生油岩条件和生储盖组合综合研究基础上 ,详细论述了稠油的形成机制 ,总结了该区油气运移和富集规律。通过对沙四上段储层的综合评价 ,指出了区内下一步有利勘探目标