查询词典 invariant subspace

In chapter 2. to two classes of specific systems in engineering, we make researches into stability with respect to their own invariant sets through the theoretic techniques of HDS. And then we bring forward sufficient conditions of uniform asymptotic stability and exponential stability with respect to their own invariant sets in the sense of Lyapunov.

第二章针对实际工程之中的两类具体系统用混合动态系统的理论方法对其关于不变集的稳定性进行了研究，提出了它们关于各自的不变集在Lyapunov意义下一致渐近稳定、指数稳定的充分条件。

In this thesis, several problems of time-dependent systems in various branches of physics are investigated by making use of the generalized invariant theory and the invariant-related unitary transformation formulation. The problems are given as follows:(1) Spin model and geometric phase factor in the fiber We investigate the fiber experiment performed by Chiao-Tomita and the Chiao-Wu theory concerning the geometric phase factor in the optical fiber, and then show that the investigation of the propagation of photons inside the noncoplanar optical fiber can be regarded as that of a second-quantization spin model.

本论文用推广的不变量理论和与不变量有关的幺正变换方法研究了一些物理分支中的几个含时系统问题：(1)自旋模型与光纤中光子几何相因子问题重新考察了Chiao-Tomita光纤实验和Chiao-Wu关于光纤中光子几何相因子的理论，证明了在非共面弯曲光纤中传播的光子运动问题实际上可以化为二次量子化含时自旋模型研究。

A translation-invariant extension of multiwavelet transform called stationary multiwavelet transform was proposed,which yields an overcomplete signal representation,and consequently incorporates the advantages of multiwavelet transform and translation-invariant property.

综合了多小波分析和平移不变性质的优势，将多小波分析扩展到静态多小波的范畴，提出了一种基于静态多小波变换的图像融合方法。

A translation-invariant extension of multiwavelet transform called stationary multiwavelet transform was proposed,which yields an overcomplete signal representation,and consequently incorporates the advantages of multiwavelet transform and translation-invariant property.

综合了多小波分析和平移不变性质的优势，将多小波分析扩展到静态多小波的范畴，提出了一种基于静态多小波变换的图像融合方法。通过对源图像进行SMWT，根据变换系数的尺度内多子带联合窗口特性，实现多源图像的融合。

This paper introduces an affine invariant of trapezia, and the explicit constraint equation between the intrinsic matrix of a camera and the similarity invariants of a trapezium are established using the affine invariant.

引入了梯形的一个仿射不变量，并利用这个不变量，建立了梯形的相似不变量与摄像机内参数之间的约束关系。

The Point Spread Functions of every space-invariant blur in the multiple blurred images are combined together by convolving all the linear PSFs to reduce the accumulation of calculation errors during the image restoration,so that the multiple blur made up of the space-invariant blurs can be eliminated by a deconvolution restoration.

对空间不变模糊的点扩散函数进行合并，减少多重模糊恢复过程的计算误差累计，通过一次解卷积运算实现多重空间不变模糊图像的恢复。

In addition, it's found that abridgment methods are comparative to Vector Subspace Method when the spectral image compression application is considered.

另外，还给出了三阶删节方法与"向量子空间法"在光谱图像压缩方面的特性比较，比较的结果发现，三阶删节方法要比"向量子空间法"更好一些。

As face space is always believed to be a low-dimensional submanifold embedded in high-dimensional ambient space, many methods of subspace feature extraction adopt manifold learning to explore intrinsic structure of face patterns.

在人脸识别中，提取有效的鉴别特征是实现人脸准确识别的一个关键因素。

The effective signal subspace effected on by the angular correlation is analyzed through the array covariance matrix. One distributed source from any degree of angular correlation cannot be generally taken as the independent distributed source.

对于实际应用和理论推导中，源内角度何等相关程度的分布源相关模型可等价于分布源独立或相干模型要做具体分析，不能笼统地认为所有分布源相关模型都用分布源独立模型描述和处理。

Based on the idea of frequency domain subspace, a multipath delay estimating method for aperiodic spreading system is proposed.

摘 要：基于频域子空间思想，给出了一种适用于非周期扩频系统的多径时延估计方法。

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。