查询词典 The Matrix

Under the helix boundary condition, the Helmhotz matrix has Toeplitz structure with positive definite property.

在螺旋边界条件下，该矩阵H具有Toeplitz结构的正定厄密矩阵，其快速求逆可由谱法LU分解或直解法快速实现。

Firstly, the mode space transformation is used to transform the UCA into a Virtual ULA. On this base, a Toeplitz matrix can be reconstructed. Then EigenSpace-Based beamforming is applied to suppress the coherent interference successfully.

该算法在对均匀圆形阵列的输出信号进行模式空间转换的此基础上，重新构一个特殊的Toeplitz矩阵，然后进行基于特征空间的波束形成，可以有效地抑制相干干扰。

Levin pine Act TOEPLITZ symmetric matrix solution composed of linear equations, fewer iterations, the computational complexity is at the end of time, and the calculation accuracy is very high, is a very good way!

详细说明：列文松法解对称TOEPLITZ矩阵组成的线性方程组，迭代次数少，计算复杂读很底，且计算精度相当高，是一种非常好的方法！

Firstly, the mode excitation method is used to transform the UCA in element space into a virtual ULA in mode space. Then a Toeplitz matrix can be reconstructed to estimate DOA of coherent signals successfully.

该算法对均匀圆形阵列的输出信号进行模式激励，使其成为模式空间内的虚拟阵列；在此基础上重构一个Toeplitz 矩阵，成功地估计出相干源的来波方向。

An obvious appproach to study the properties of Toeplitz matrix is to approximate them by sequences asymptotically equivalent of circulant matrices and then applying the results developed thus far.

在研究Toeplitz矩阵的性质时用循环矩阵来渐进等价或近似能得到很好的结果，这样有关循环矩阵和渐进等价等结论能够运用到Toeplitz矩阵的讨论中。

Correlation and signal-to-noise ratio of the space sources can affect the resolution of DOA estimation of subspace algorithms. Using this relation, the algorithm changes the correlation and SNR of the equivalent sources by processing the Toeplitz matrix based on the Toep-MUSIC algorithm, so that the resolution of DOA estimation can be improved.

改进算法利用信源间相关性和信噪比对子空间类DOA估计算法分辨力的影响，在Toep-MUSIC算法基础上，通过对Toeplitz重构矩阵的处理，改变了等效信源的相关系数和信噪比，从而使DOA估计分辨力得到提高。

In addition, we make use of the Trench algorithm to save the computation complexity of the Toeplitz matrix inversion required in the proposed algorithms, The Trench algorithm needs only O.

再者可以利用Trench演算法来搭配实现Toeplitz反矩阵进而只需要O的运算量。

But the residual cells were survival and secreted metachromatic staining proteoglycan with toluidine blue, which was characteristic cartilage matrix.

但剩余的少量细胞成活，形成类似的软骨陷窝并分泌甲苯胺蓝异染的软骨基质。

The theory of graphs and relations between the spectra and fixed variate (e.g. chromatic number, degree sequence, diameter and connectivity) of graphs by means of the well-developed theory and technique of algebra, topological structure properties of graph, combination and matrix theories so as to establish firm essential relation between the algebraic properties and topological properties of graphs and networks.

图谱理论的研究主要是利用成熟的代数理论和技巧，并结合图的拓扑结构性质和组合数学的理论、矩阵理论来研究图谱及其与图的结构性质、图的其它不变量(如色数，度序列，直径，连通度等)之间的关系，将图与网络的代数性质与图的拓扑性质紧密地联系在—起。

The innovations of this paper as follows:(1)The topological relation model between complex spatial objects is brought forward, which represented by some composite basic 9I matrix and results in general signification.(2)Time and space integrated topological model is suggested to reason about spatio-temporal change types;(3)Sweep-line algorithm is improved, and a new little circles of polyline nodes overlapped with region method is proposed. As result, it's efficient to calculate line-line, line-region and region-region topological relations.

本文的创新之处在于提出了一种能够描述复杂对象的数学表达模型，将复杂对象间的复合拓扑关系表示成基本拓扑关系的组合，具有一定的普适意义；研究了时空拓扑关系的内涵和表达方法，说明利用时空拓扑关系可隐性地实现时空变化语义的查询；对平面扫描线法进行了改进，提出了一种新的节点微小圆求交的算法，可有效地解决线面、线线、面面拓扑关系的计算问题。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。