相关熵及其有限性的条件

就相关熵的性质进行了讨论，证明了在pp密度逼近中使用的作为“距离”的相关熵不满足距离定义中的第三个条件，并给出了三角不等式成立的条件。     

Desargues定理的推广

本文将射影几何著名的Desargues透视三点形定理推广到四面体和三维射影空间的完全n(n≥4)点形(体)中。     

SW规约下的一些性质

本文进一步分析了SW规约下的SW度结构的一些性质,得到了强可计算实数的两个性质.并且证明了给定可计算可枚举实数,可构造出sw归约下不小于该数的低的可计算可枚举实数.     

Science Letters： A synthetic Toll-like receptor 2 ligand decreases allergic immune responses in a mouse rhinitis model sensitized to mite allergen

It has been proposed that activation of Toll-like receptors （TLRs） plays crucial roles in the polarization of adaptive immune responses. A synthetic Toll-like receptor 2 （TLR2） ligand, Pam3CSK4, has been reported to modulate the balance of Th1/Th2 responses. We evaluated the modulation effect of Pam3CSK4 on allergic immune response in a mouse rhinitis model sensitized to house dust mite allergen （HDM）. Mice were sensitized and challenged with Dermatophagoidesfarinae allergen （Der f）, and then the allergic mice were treated by Pam3CSK4. Nasal allergic symptoms and eosinophils were scored. Der f-specific cytokine responses were examined in the splenocytes and bronchoalveolar lavage fluid （BALF）. Serum level of total IgE was also detected. After establishing a mouse allergic rhinitis model with HDM, we have showed that Pam3CSK4 treatment not only ameliorated the nasal allergic symptoms remarkably but also decreased the eosinophils and total inflammation cells in BALF significantly. Analysis of cytokine profile found that IFN-7 released from either BALF or stimulated splenocytes increased markedly in Pam3CSK4-treated mice, while IL-13 decreased significantly. Moreover, serum level of total IgE was significantly lower in Pam3CSK4-treated mice than in the untreated. Thus, in an allergic rhinitis mouse model developed with HDM, Pam3CSK4 was shown to exhibit an antiallergic effect, indicating its potential application in allergic diseases.     

（BN）n及SiB（n-1）Nn（n=2-11）稳定结构的研究

利用遗传算法及Gastreich提出的经验势函数,研究了（BN）n（n=2-11）和SiBn-1Nn（n=2-11）团簇的可能稳定结构,对能量较低的异构体在HF/STO-3G水平进行优化,得到了（BN）n（n=2-11）和SiBn-1Nn（n=2-11）团簇稳定结构单环及线状结构,并进一步分析了单环的结构特征及相对稳定性。     

线性分式规划的多项式算法

Charnes—Cooper提出了一种线性分式规划的算法。本文在此基础上证明了线性分式规划与一种特定的线性规划等价。将Karmarkar算法用于该线性规划,我们得到了线性分式规划的多项式算法。     

计算机画法几何的研究与应用

以AutoCAD2000i为图形支撑平台，构建一种计算机辅助画法几何方法以直观、精确、高效地求解三维空间几何度量与定位问题，该方法适合于传统画法几何求解，也可用于曲柄滑块机构的行程、运动轨迹等内容的设计。     

凝聚环的几个特征

证明了对于一个环R，下列条件等价：(1)R是左凝聚的；(2)对任意正整数n，Mn(R)是左1-凝聚的；(3)Ext^2R(R／I，N)=0对于任意有限生成左理想I及F-内射模RN成立；(4)若N1≤N都是F-内射左R-模，则N／N1也是F-内射模．     

热轧圆钢外径的激光在线检测研讨

本文报导热轧圆钢激光在线检测外径的阶段性研究结果，给出仪器研制原理及光机结构设计同仪器精度关系的研讨．     

射影点的几何作图

在射影平面的扩大平面模型上的已知射影坐标系下，本文解决了已知射影坐标，几何地作出它所对应的点；已知一射影点，几何地求出这个点的射影坐标三数组这两类基本问题。