英汉词典

1.In an infinite dimensional space there always exist two subspaces whose vector sum is different from their span.

在一无限空间中恒存在两个子空间，其矢量和与其张成空间不同。

2.The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.

尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。

3.A general difficulty of using singular value decomposition (SVD) to split signal and noise subspaces is in the right choice of effective rank.

用奇异值分解界定信号和噪声子空间的困难之处，在于有效秩的确定。

4.It is proved that the (a, b) invariant subspaces can be always decomposed into a direct-sum form of some radical subspaces.

证明了任意一个(A,B)不变子空间一定能分解成一些根子空间的直和。

5.In the direction of arrival (DOA) estimation problem, the relationship between the second-order and the fourth-order subspaces is found and proved in the paper.

本文分析了在高阶统计应用阵来波方向估计问题中二阶子空间与四阶子空间的概念及形式关系。

6.Lastly, the characteristics between fault outputs and measuring inputs in different subspaces have been obtained by processing off line learning.

最后，通过离线学习获得不同子空间故障输出与测量输入的非线性动力特性。