查询词典 almost complex manifold

Based on the concept of secondary eigenvalue and secondary eigenvector, the author gives the model for the inverse problem of secondary eigenvalue of the matrix, discusses the inverse problems of secondary eigenvalue for anti-skew-symmetric matrices on a linear manifold.

在第三章中，本文对矩阵的一类逆特征值问题进行了研究，针对次特征值、次特征向量概念，提供了矩阵的逆次特征值问题模型，讨论了一类线性流形上次反对称矩阵的逆次特征值问题。

The main achievements of this dissertation are as follows: Let W be a nonsingular matrix. 1. Problem I and Problem II are considered under the matrix set S is as the following: 1 the set of real W-symmetrizable matrices; 2 the set of real W-symmetrizable nonnegative definite matrices; 3 the set of real W-symmetrizable matrices on the linear manifold.

对于问题I和问题II，本文就S是W可对称化矩阵集合、W可对称非负定化矩阵集合以及线性流形上W可对称化矩阵集合等三种情况进行了研究，分别给出了这三种情况下问题I的解存在的充分必要条件，以及解集合的通式表达式，给出了这三种情况下的最佳逼近解，并提供了相应的数值算法和数值实例。

In Chapter 6, the symmetric ortho-symmetric solution of the matrix equation AXAT = Bon the linear manifold S ={X 6 SPRnxn\XZ = Y, ZjYt = Y?

运用矩阵对的标准相关分解，给出了上述两类线性流形上矩阵方程A~TXA=B的双对称最小二乘解的通解表达式。

The data in LLE are optimized using the small world algorithm, and the shortest path and the local neighbor set clustering coefficients are used as the local parameters. As a result, the problem of the embedding distortion using only local linear patch of the manifold to define neighborhood in Euclidean space is effectively solved. Three groups of standard data sets are selected to test and to compare the efficiency and robustness of SLLE and LLE.

将复杂网络算法引入到流形学习中，利用小世界算法对LLE算法进行数据优化，并以最短路径和局部集群系数作为局部优化参数，解决了数据点不规则时以欧氏空间作为邻域判别标准在构建局部超平面造成嵌入结果扭曲的难题。

In addition, by applying the quotient singular value decomposition of a matrix pair, we obtained a general expression of the least-squares solutions of the matrix equation A~TXA — B on the linear manifold.

在第四章，我们研究了线性流形S={X∈CSR~|‖XY-Z‖=min，Y，Z∈R~}上矩阵方程A~TXA=B的中心对称解。

Under certain donditions ,the existence of generalized synchronization can be turned to the problem of compression fixed point in the family of Lipschitz functions.Theoretical proofs are proposed to the Lipschitz smooth,H lder continuity and exponential attractive property of generalized synchronization manifold.

若满足一定条件，广义同步流形的存在性问题可转化为Lipschitz函数族压缩不动点问题，并且理论上证明了两类广义同步流形的Lipschitz光滑性、H lder连续性和指数吸引性。

We discussed the compact speudo-umbilical submanifolds in a locally symmetric conformally flat Riemannian manifold.

2中的积分不等式推广到局部对称共形平坦黎曼流形中的伪脐子流形。

In this paper, we discuss the 2-harmonic spacelike submanifolds in a locally symmetric and conformally flat pseudo-riemannian manifold and get two sufficient conditions under which Mn turns into a maximal submanifold,and the results in [2] are improved.

讨论局部对称共形平坦伪黎曼流形的2-调和类空子流形，得到这类子流形成为极大的二个充分条件，推广了文[2]中的结论。

The compact minimal submanifold of a Locally symmetric and conformally flat Riemannian manifold are studied, and obtain the following intrinsic rigidity theorem.

研究了局部对称共形平坦黎曼流形的紧致极小子流形，即设M是局部对称共形平坦黎曼流形的n维紧致极小子流形，得到了这种子流形的若干内蕴刚性积分不等式，给出了流形全测地的限制条

Locally projectively flat manifolds;equiaffine differential geometry;projective Blaschke manifold

局部射影平坦流形；等仿射微分几何；射影Blaschke流形

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。