查询词典 curvature invariant

And local coordinate representations of left invariant symplectic structure and symplectic left invariant vector field on the Symplectic-Lie group are given.

还给出了辛李群上左不变辛结构和辛左不变向量场的局部坐标表示。

Equivalence of invariant mean and topological invariant mean is showed by two methods.

用两种方法证明左不变平均和拓扑左不变的等价性。

Theoretical analysis and experiment results all demonstrate that the new adaptive wavelet decomposition proposed in this dissertation not only be translation invariant but also scale invariant.

理论分析及实验结果都证实，本文提出的这种自适应小波多尺度分解不仅对信号的平移是不变的，而且对信号的尺度变换也具有不变性。

In this paper, we propose the translation-invariant contourlet-like transform with lower redundancy than both the nonsubsampled contourlet transform and the translation invariant contourlet transform.

本文提出了一种具有平移不变性的类轮廓波变换，其冗余度比非抽样轮廓波变换和平移不变轮廓波变换更低。

In order to improve the sensitivity in phase of Gabor filters, we introduced the rotation and scale invariant filters for texture segmentation based on the circular transform and Mellin transform and their rotation and translation invariant.

并在此基础上，利用圆周变换和Mellin变换的旋转和平移不变性，讨论了具有旋转和伸缩不变性的纹理分割滤波器，以克服Gabor滤波器的相位敏感性缺点。

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。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"