线性代数中几个定理的新证法

对线性代数中关于矩阵秩的几个公式与特征多项式的性质定理给出了新的证明方法，用齐次线性方程组解空间的理论证明了矩阵秩的６个定理，利用矩阵和的行列式定理给出了矩阵Ａ的特征多项式系数及Ａ的主子式关系定理的新证法。     

共形平坦黎曼流形中具有平行第二基本形式的子流形

设Ｍ＾ｎ＋ｐ是ｎ＋ｐ维共形平坦黎曼流形，本文对具有平行第二基本形式的子流形作了讨论，将我们现有结论推广到了更一般的情形。     

New Bundle Methods for Solving Lagrangian Relaxation Dual Problems

Bundle methods have been used frequently to solve nonsmooth optimization problems. In these methods, subgradient directions from past iterations are accumulated in a bundle, and a trial direction is obtained by performing quadratic programming based on the information contained in the bundle. A line search is then performed along the trial direction, generating a serious step if the function value is improved by or a null step otherwise. Bundle methods have been used to maximize the nonsmooth dual function in Lagrangian relaxation for integer optimization problems, where the subgradients are obtained by minimizing the performance index of the relaxed problem. This paper improves bundle methods by making good use of near-minimum solutions that are obtained while solving the relaxed problem. The bundle information is thus enriched, leading to better search directions and less number of null steps. Furthermore, a simplified bundle method is developed, where a fuzzy rule is used to combine linearly directions from near-minimum solutions, replacing quadratic programming and line search. When the simplified bundle method is specialized to an important class of problems where the relaxed problem can be solved by using dynamic programming, fuzzy dynamic programming is developed to obtain efficiently near-optimal solutions and their weights for the linear combination. This method is then applied to job shop scheduling problems, leading to better performance than previously reported in the literature.     

Projective Structure,Symplectic Connection and Quantization

Let X be a connected Riemann surface equipped with a projective structure . Let E be a holomorphic symplectic vector bundle over X equipped with a flat connection. There is a holomorphic symplectic structure on the total space of the pullback of E to the space of all nonzero holomorphic cotangent vectors on X. Using , this symplectic form is quantized. A moduli space of Higgs bundles on a compact Riemann surface has a natural holomorphic symplectic structure. Using , a quantization of this symplectic form over a Zariski open subset of the moduli space of Higgs bundles is constructed.     

支持向量机及其在羽绒识别中的应用研究

在分析支持向量机原理的基础上,对支持向量机近年来在羽绒识别中的应用进行了综述和探讨.实践和实验证明基于支持向量机的羽绒自动识别是羽绒检测领域的一个创新和尝试,最后,指出了支持向量机的优点和不足,并且对其在羽绒识别方面的应用前景进行了展望.     

蒜薹薹茎的解剖特征

对蒜薹薹茎进行了扫描电镜和光学显微镜观察，其解剖结构分别为表皮，皮层，其内侧有大量维管束分布在薄壁组织中，蒜薹薹茎表面具有相互平行、平坦或隆起的条形纹饰结构，有丰富的蜡质，表面分布大量气孔，气孔长轴方向与条形纹饰的走向相同，有的气孔下陷或内部被一些物质堵塞。不同产地的蒜薹其解剖结构有一定的差异。     

混纺试样束强测试中的实验方法

探讨混纺试样束强测试的实验方法，采用澳大利亚CSIRO研究所生产的SIROLAN－TENSOR束强测试仪，手工混制不同混纺比的毛涤试样，通过实验作比例分析，制定出可行的混纺试样测试方法（平铺式测试法）。     

Z──循环矩阵及其对角化

文［１］讨论了循环矩阵的对角化问题。本文讨论更广泛的一类循环矩阵──Ｚ─循环矩阵。首先确定了交换环上Ｚ──循环矩阵集的代数结构，然后解决复Ｚ──循环矩阵的对角化问题。     

Singular cycles of vector fields on regular parts of the boundary of Morse-Smale systems

At the boundary of the class of Morse-Smale vector fields there are vector fields whose unique degenerate phenomena is a singular cycle. We first characterize and classify all singular cycles which contains only one degeneracy (thesimple singular cycles: ssc). Each of these cycles defines a condimension one submanifold of vector fields. For some ssc its codimension one submanifold is a regular part of the boundary of the Morse-Smale systems. We characterize those ssc that defines this type of submanifold. Our ambient space isn dimensional,n2.Supported by Fondecyt, Proyecto 1930863.     

Berry相因子与主纤维丛的关系及其拓扑性质

用纤维丛理论描述Ｂｅｒｒｙ相因子。将Ｂｅｒｒｙ相位作为联络１－形式及相应参数空间的曲率２－形式。利用Ａｔｉｙａｈ－Ｓｉｎｇｅｒ指数定理。讨论了Ｂｅｒｒｙ相因子的拓扑性质及其与反常之间的关系。