子流形上的F-调和映射

文章从子流形的平均曲率和第二基本形式长度平方的条件出发,研究了欧氏空间或球面的子流形为出发流形或目标流形的F-调和映照的稳定性,得到一些不存在性定理,从而推广了有关作者的结论.     

基于流形的图像检索算法的研究

针对静止图像中轮廓信息的表示,利用活动基模型,共享简图算法与和数-最大数简图计算结构来分别表示、学习和识别变形的模板,实现了同类图像的检索。     

弱ω-不连通空间

.一个拓扑空间被称为是弱ω不连通的, 如果它可以表示成可数无限个非空闭集的不交并. 在实直线上, 已知任何区间都不是弱ω不连通的. 本文证明了两条更一般的结论: (1) 任何连通, 局部连通, 局部可数紧的T2空间都不是弱ω不连通的; (2) 任何可序化的连通空间都不是弱ω不连通的     

B（H）上广义Jordan triple可导映射

利用算子论方法,证明了YA∈（B）（B）,若δ满足δ（AA＊ A）=δ（A）A＊A-Aδ（A）＊A＋AA＊δ（A）,则（E） S,T∈（B）（B）和λ∈{C＼R}∪{0},且S＊-S=T＊-T=λi,使得（a） A∈（B）（B）有δ（A）=SA-AT.     

Construction of AFLP-based genetic linkage maps for the Chinese shrimp Fenneropaeneus chinensis

Fenneropaeneus chinensis is an important species in marine fishery resources and aquaculture in China. A genetic linkage map is essential for improving the efficiency of its breeding by marker-as- sisted selection and identifying commercially important genes. Linkage maps of F. chinensis were constructed with an F2 mapping population (110 progenies) using amplified fragment length polymor- phic (AFLP) marker in this study. Fifty-five AFLP primer combinations produced 532 AFLP markers fitting for map strategy in mapping family. The markers with 3:1 segregating ratios were analyzed using F2 intercross model for the common linkage map, while the markers with 1:1 ratio were analyzed using the pseudo-testcross strategy. The maps of male, female and common were constructed. The female map included 103 markers that formed 28 linkage groups, covering a total length of 1090 cM. All mark- ers were linked with the linkage groups. Segregation distortion was observed for 6 of 103 markers in the female map. The average distance between markers was 14.53 cM and ranged from 4.4 to 24.8 cM. The male map included 144 markers that formed 35 linkage groups. Ten markers remained unlinked in male map. Segregation distortion was observed for 7 of 144 markers in the male map. The total dis- tance of male map covered 1617 cM. The average distance between markers was 16.36 cM. The male map was 32.6% longer than the female map, which may reflect sex-specific recombination rates in Chinese shrimp. The common map was composed of 216 markers, including in 44 linkage groups covering a total distance of 1772.1 cM. Two markers remained unlinked. No distorted markers of 216 markers were shown in the common map. The distance between markers was 10.42 cM. An average estimated genome size for the Chinese shrimp was 2420 cM, which was consistent with the relative size of the Penaeid genome. The distribution of AFLP markers was relatively even in chromosomes of Chi- nese shrimp maps. The linkage analysis presented in this work provided some insight into the level of polymorphism and genetic variation of Chinese shrimp.     

具有Ricci曲率拼挤的极小子流形的F-调和映射

讨论了具有Ricci曲率拼挤的子流形的F-调和映照的稳定性,得到球面中的极小子流形和任何紧致黎曼流形之间的稳定F-调和映照必为常值映射的一个充分必要条件,改进并推广了前人相应的部分结果。     

一个不动点定理在最佳逼近理论中的应用

本文推广了Habiniak的一个不动点定理,得到了一个最佳逼近定理,从而改进和推广了文献[1,2]中的主要结果。     

关于σ-局部可数弱基

证明如下主要定理：（１）σ－局部可数弱基在开、闭Ｌｉｎｄｅｌｏｆ映射下保持．（２）设Ｘ、Ｙ有σ－局部可数弱基，则Ｘ×Ｙ为ｋ－空间的充分必要条件是下列之一满足：（α）Ｘ和Ｙ有σ－局部可数基，（ｂ）Ｘ或Ｙ为局部紧度量空间，（Ｃ）Ｘ、Ｙ有－σ－局部有限且由紧子集构成的弱基．     

基于改进SPBO算法的水下推进永磁同步电机参数辨识

精确的永磁同步电机(permanent magnet synchronous motor, PMSM)模型是集成电机水下推进器恒转矩控制的关键。为了提高水下推进PMSM参数辨识的精度,提出一种融合Tent映射与t分布变异策略的改进学生心理优化算法辨识水下推进PMSM参数。该算法在标准学生心理优化算法的基础上,引入Tent映射策略增加初始种群多样性,引入t分布变异策略平衡算法的前期与后期搜索能力,提高了算法的收敛速度和收敛精度。仿真和实验结果表明：该算法的辨识误差可达1%以内,且具有更快的收敛速度和更好的辨识稳定性。