不变子空间

In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.

对于 n阶一般的非线性动力系统，根据线性算子的不变子空间理论和共轭算子概念，提出一种计算其规范形的新的矩阵表示方法。

If the dynamicmapping thus determined is continuous,the two topological spaces is said to be homeomorphic and their respective energy shellsdo have the same dynamic property of being subdividable into invariant subspaces according to the same set of quantum num-bers.

如果这样决定的动力学映射是连续的，它就是两个拓扑空间之间的同胚映射，而两个系统的能量壳有同样的动力学性质，即可以按同一套量子数划分不变子空间。

Crystal ; axial symmetry element ; invariant subspace ; the trace of a matrix

晶体；轴性对称元素；不变子空间；矩阵的迹

We also prove that the first invariant subspace is a proper subset of controllable state set rather than the whole of it.

并证明第一不变子空间只是能控状态集的真子集，而非其全体。

In this paper, the sampling theorem is studied in the shift invariant subspace in higher dimension.

本文研究了高维平移不变子空间中的抽样定理。

Every reducible subspace of $T$ is invariant subspace of $T$ too.

人们自然相信，有不变子空间的算子可能有共轭。

Finally, a basic lemma was given to reveal the relation between the solution set of a centain integral equations and the generalized cyclic invariant subspace. This lemma will play an important role in the determination of controllability.

然后以一个基本引理的形式揭式某一积分方程的解集与广义循环不变子空间之间的联系，这个引理将在能控性的判定中起关键作用。

Classification of two-component nonlinear cross-diffusion systemsis presented by a developing invariant subspace method.

将不变子空间方法进行推广，并用于带有交错扩散项的非线性方程组的分类。

Thin film equations; nonlinear cross-diffusion systems; two-dimensional nonlinear reaction-diffusion equations; invariant subspace method; invariant sets

基础科学，数学，数学分析薄膜方程；非线性交错扩散方程组；二维非线性反应扩散方程；不变子空间方法；不变集

In the third chapter, we study the structure of quasi-invariant subspaces of analytic Hilbert spaces over the complex plane.

第三章讨论复平面上解析Hilbert空间的拟不变子空间。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。