求解非线性网络的一个新算法

本文对非线性电阻性网络多值问题的求解作了新的探讨，在给出若干定理的基础上提出了一种能保证找到分段线性电阻性网络所有解的新算法。     

Time series forecasting using robust regression

The method of ordinary least squares (OLS) and generalizations of it have been the mainstay of most forecasting methodologies for many years. It is well-known, however, that outliers or unusual values can have a large influence on least-squares estimators. Users of automatic forecasting packages, in particular, need to be aware of the influence that outlying data values can have on statistical analyses and forecasting results. Robust methods are available to modify least-squares procedures so that outliers have much less influence on the final estimates; yet these formal methods have not found their way into general forecasting procedures. This paper provides a case study in which classical least-square-estimation procedures are complemented with a robust alternative to enhance statistical fit criteria and improve forecasting performance. The study suggests that much can be gained in understanding the nature of outliers and their influence on forecasting performance by performing a robust regression in addition to OLS.     

一类非线性薛定谔方程的孤子解

 研究了具有V(x,t)=f₁(t)x+f₂(t)x²形式的外部势的非线性薛定谔方程的单一孤立子解.结果表明:当孤立子的中心满足带有势V(x,t)的牛顿方程,孤立子的内部结构由"体固定"坐标系决定.孤立子的结构与f₁(t)无关.若f₂(t)与t无关,孤立子是固定的.原则上,若f₂(t)剧烈变化,则孤立子将扩散.但数值计算表明,在一定条件下,孤立子还是经得起f₂(t)的剧烈变化.     

一种改进的蚁群算法用于灰色约束非线性规划问题求解

针对灰色约束非线性规划问题,设计了一种改进蚁群算法．该算法采用了正反馈机制。在对灰色约束非线性规划问题白化处理后,将罚函数方法引入到目标函数中,同时给出了改进蚁群算法的仿真流程．实例应用表明,将改进后的蚁群算法应用于灰色约束非线性规划问题的求解是可行有效的。     

Alternative splicing of Bcl-2-related genes: functional consequences and potential therapeutic applications

Apoptosis is a morphologically distinct form of cell death. It is executed and regulated by several groups of proteins. Bcl-2 family proteins are the main regulators of the apoptotic process acting either to inhibit or promote it. More than 20 members of the family have been identified so far and most have two or more isoforms. Alternative splicing is one of the major mechanisms providing proteomic complexity and functional diversification of the Bcl-2 family proteins. Pro- and anti-apoptotic Bcl-2 family members should function in harmony for the regulation of the apoptosis machinery, and their relative levels are critical for cell fate. Any mechanism breaking down this harmony by changing the relative levels of these antagonistic proteins could contribute to many diseases, including cancer and neurodegenerative disorders. Recent studies have shown that manipulation of the alternative splicing mechanisms could provide an opportunity to restore the proper balance of these regulator proteins. This review summarises current knowledge on the alternative splicing products of Bcl-2-related genes and modulation of splicing mechanisms as a potential therapeutic approach.Received 5 January 2004; received after revision 31 March 2004; accepted 6 April 2004     

一类非线性微分方程的周期解

研究了一类四阶非线性微分方程,运用Liapunov函数,得到了该微分方程存在周期解的充分条件．     

用分段回归方法计算孔隙结构的分形维数

储层岩石的孔隙空间具有良好的分形特征,孔隙结构的分形维数可以用来定量描述孔隙结构的复杂程度。应用分形几何的原理,推导了储层岩石不同孔隙分布和毛细管压力曲线的分形几何模型。根据毛管压力曲线资料,用分段回归的方法计算了不同孔隙结构的分形维数。计算结果表明,用分段回归方法计算孔隙结构的分形维数能更好地反映孔隙结构的实际情况。若孔隙大小相差不大,孔隙结构的分形维数相等或比较接近;若孔隙大小相差较大、非均质性较强,得到的孔隙结构分形维数不同。     

绝望边缘的体认与言说——以《伤逝》为个案解析鲁迅的时间观与生命意识

在《伤逝》中 ,启蒙身份的丢失是根源于面对家庭的困惑。用什么来维系家庭成员 ,这是整个五四时期启蒙者的困境。小说采用叙述与体验两种截然不同的方式建构文本 ,透露出人生的悲剧 ,更重要的是凸现出鲁迅独特的时间观。在乌托邦与反乌托邦的平衡中 ,鲁迅与现实之间难以分割的关系促使他形成了“死后之生”的人生哲学     

Protein folds: molecular systematics in three dimensions

Advances in methods of structure determination have led to the accumulation of large amounts of protein structural data. Some 500 distinct protein folds have now been characterized, representing one-third of all globular folds that exist. The range of known structural types and the relatively large fraction of the protein universe that has already been sampled have greatly facilitated the discovery of some unifying principles governing protein structure and evolutionary relationships. These include a highly skewed distribution of topological arrangements of secondary-structure elements that favors a few very common connectivities and a highly skewed distribution in the capacity of folds to accommodate unrelated sequences. These and other observations suggest that the number of folds is far fewer than the number of genes, and that the fold universe is dominated by a small number of giant attractors that accommodate large numbers of unrelated sequences. Thus all basic protein folds will likely be determined in the near future, laying the foundation for a comprehensive understanding of the biochemical and cellular functions of whole organisms.     

香港恒生指数期权市场的过度反应现象研究

论文以香港恒生指数期权市场为实证,对期权隐含波动率的“期限结构”进行了建模和研究。实证分析表明期权的隐含波动率具有很强的“中心回复”特性,那么,在有效市场假设和Black-Scholes期权定价模型正确性的前提之下,当一个期限较短的期权的隐含波动率发生变动时,另一个其他方面与之完全相同,但期限较长的期权,其隐含波动率的变动幅度应小于前一个期权隐含波动率的变动幅度。然而,通过对香港恒生指数期权市场的实证分析,两种不同统计检验方法的结果都对香港恒生指数期权市场的有效性假设提出了质疑－－市场并不是有效的基于理性预期的,而是存在着显著的“过度反应”现象。