查询词典 invariant subspace

We also adopt the iterative method to study the matrix nearness problem associated with these inconsistent matrix equations systematically in this dissertation, and characterize the minimization property of this iterative method by making use of the matrix function in subspace for the first time, which is the important improvement for the achievements of references.

本文还采用迭代方法系统地研究了问题Ⅰ，并首次利用子空间上的矩阵函数来刻画该迭代方法的极小化性质，这是对已有研究成果的重要补充和完善。

Proposed a representation scheme for 3D face -- Surface UnfoldingFor its irregular sampling in 3D space, 3D face surface cannot be processed by many orthogonal and subspace analysis toolkits directly, i.e. DFT, DCT, PCA, LCA. Surface Unfolding projects the 3D face to a 2D plane while retaining its intrinsic geometry properties of angle and area which issues a surface representation — Unfolded Image.

提出了一个三维人脸的平面表征方法——曲面开折模型不同于传统的数字生物特征，3D人脸数据是非规则采样的，传统的信号处理工具难以对3D数据进行直接处理。

The key points of DGA is to start evolution with initial population evenly distributed in searching space to avoid the leakiness of subspace, to accelerate the searching process by directed crossover and mutation, to improve holistic survival and adaptive ability by means of competition and parallel evolution in genetic system. However, the crossover and mutation act on different lays in space made the searching uniform.

其基本思路是以空间上均匀分布的初始点展开演化以避免子空间的遗漏，以有方向性的杂交和变异加速和调节搜索，同时杂交和变异作用在不同层面上使搜索在整体上均匀化，通过遗传系统里的并行竞争提高整个群体的生存适应力，从而达到整体优化的目的。

An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations. The subspace iterative method is used for the solution of natural frequencies and vibration modes for the free vibration of beam structures.

本研究推导元素的节点惯性力时，先将元素扰动位移表示成当前固定元素座标的扰动位移和旋转之函数，故可直接求得元素的节点惯性力，元素的一致性质量矩阵可由元素节点的惯性力对元素节点的加速度微分求得。

The classic iterative ones need special characters of the coefficient matrix; CG has over linear convergence, but the coefficient matrix is positive definite; Krylov subspace ones can deal with non-symmetric linear systems, but sometimes it must face"collapse"problems.

经典迭代法的收敛需要由系数矩阵的一些特定性质来保证；共轭梯度法具有超线性收敛性，但是系数矩阵必须是正定矩阵；Krvlov子空间法可用于非对称矩阵问题，但可能出现崩溃现象。

The cyclic subspace regression analysis was studied from the viewpoint of linear functional.

从线性泛函的角度分析循环子空间回归方法。

If deg f = n, then Rfc is an empty set. For all the functions of degree 2, Rf have at least 2n-1 vectors, when Rf is a linear subspace, the relationships between Rf and Lf are discussed . Boolean functions have no nonezero linear structure if and only if there are n linear independence vectors in f, the correlation of the vectors in ?

证明了，若degf=n，则R_f~c为空集，对于所有的二次布尔函数而言，均有R_f~c中的元素个数大于等于2~(n-1)，给出了R_f构成线性子空间时，R_f和L_f之间的关系，还给出布尔函数不含有非零线性结构的充分必要条件是ζ_f中含有n个线性无关的元素。

This text is from the linear space made of arrays of numbers of n dimension to study the basis of subspace .

本文是从最简单的n维数组作成的线性空间入手，研究子空间的交的基与维数的确定方法。

Experiments on both synthetic data and real data show that the method is superior to other linear subspace methods.

通过模拟数据和真实数据的实验，表明这种方法的分类正确率比现有的线性子空间方法有明显提高。

Based on the realization theory, the stochastic properties and subspace structures of linear system are described.

基于实现理论讨论了线性系统的随机特性及其子空间结构。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。