广义smash积

引入了广义ｓｍａｓｈ积的概念,讨论了它的性质,推广了Ｙ．Ｄｏｉ有关方面所作的工作,改进了Ｙ．Ｄｏｉ的一个同构定理。     

基于灰关联分析和时空偏好特征的兴趣点推荐算法

为了提高动态推荐效果,从时间个性化和连续性的角度出发,细化了签到用户的时间特征,利用灰关联分析度量时间向量的相似度,与矩阵分解算法结合,给出了一种新的矩阵分解算法。该算法可缓解时间戳细化签到矩阵后带来的数据稀疏的影响。同时为了提高个性化推荐,采用自适应核密度估计方法捕捉用户的空间偏好,增强用户的个性化体验,进而提高推荐质量。在此基础上,设计了一种新的兴趣点推荐算法。实验结果表明,该算法能有效地提高推荐准确率和召回率。     

关于丢番图方程x~2+27y~2=4p

分类讨论了方程x2 +2 7y2 =4p解的存在性 ,给出其有解的一个充要条件 .     

一种基于KCCA的小样本脸像鉴别方法

基于典型相关分析和Fisher线性鉴别分析的等价性,提出了利用核典型相关分析来抽取小样本人脸图像的非线性鉴别特征,并用其进行脸像鉴别.这样得到的非线性特征本质上等价于核Fisher非线性最佳鉴别特征.基于ORL库的实验表明,对小样本人脸图像,KCCA可以得到和广义鉴别分析近似的识别性能,其所得非线性特征明显优于FLDA的线性鉴别特征.     

有界导出范畴的描述

利用预覆盖类描述Abel范畴A的有界导出范畴D^b( A ), 并给出相应的应用. 结果表明, 模范畴的有界导出范畴可用Gorenstein平坦模和余挠对描述.     

关于投射根和亚投射模

给出了有限反生成的亚投射模的结构及半局部环上的亚投射模的结构，并用亚投射性刻半并单纯环和半局部环。     

循环冗余校验算法分析和实现

在网络中传输报文时,噪声干扰或传输中断等因素往往使接收端收到的报文出现错码。为了及时可靠地把报文传输给对方并有效地检测错误,需要采用差错控制。循环冗余校验CRC（Cyclic Redundancy Check）是由分组线性码分支而来,其主要应用是二元码组。循环冗余校验CRC编码简单且误判概率很低,在通信系统中得到了广泛的应用。文中详细介绍了循环冗余校验CRC的差错控制原理及其实现方法。     

Starch-binding domains in the post-genome era

Starch belongs to the most abundant biopolymers on Earth. As a source of energy, starch is degraded by a large number of various amylolytic enzymes. However, only about 10% of them are capable of binding and degrading raw starch. These enzymes usually possess a distinct sequence-structural module, the so-called starchbinding domain (SBD). In general, all carbohydrate-binding modules (CBMs) have been classified into the CBM families. In this sequence-based classification the individual types of SBDs have been placed into seven CBM families: CBM20, CBM21, CBM25, CBM26, CBM34, CBM41 and CBM45. The family CBM20, known also as a classical C-terminal SBD of microbial amylases, is the most thoroughly studied. The three-dimensional structures have already been determined by X-ray crystallography or nuclear magnetic resonance for SBDs from five CBM families (20, 25, 26, 34 and 41), and the structure of the CBM21 has been modelled. Despite differences among the amino acid sequences, the fold of a distorted β-barrel seems to be conserved together with a similar way of substrate binding (mainly stacking interactions between aromatic residues and glucose rings). SBDs have recently been discovered in many non-amylolytic proteins. These may, for example, have regulatory functions in starch metabolism in plants or glycogen metabolism in mammals. SBDs have also found practical uses. Received 25 May 2006; received after revision 26 June 2006; accepted 3 August 2006     

余有限扩张模

作为扩张模的真推广,引入余有限扩张模,并讨论该模的基本性质.证明余有限扩张模的任意直和项(完全不变的余有限子模)仍是余有限扩张模.若M是余有限扩张模且N是M的闭子模,则M/N是余有限扩张模.设M=M1M2是duo模.若M1和M2都是余有限扩张模,则M是余有限扩张模.     

点阵式液晶显示模块中T6963C的应用与分析

为了方便地实现点阵式液晶显示,使用了内置T6963C控制芯片的液晶显示模块.采用8155对单片机的并行I/O口扩展和通过对电路的硬件、软件合理设计达到对T6963C显示模块的控制.此外,给出了T6963C正常工作的基本条件以及相关控制程序、程序流程图,并介绍了一种绘画直线的算法,从而更方便地实现了人机对话.