查询词典 orthogonality

The algorithm transform the line parallelism and plane orthogonality into some new constraints on auto-calibration equations, which makes the affine and Euclidean characteristics of the absolute quadric close to the practical one.

该算法将景物中出现的直线的平行性和平面的正交性转换为新的求解相机自定标方程的约束条件。

A novel direction of arrival and polarization estimation of electromagnetic vector sensors mounted on the airframe is proposed based on biquaternion. The signal processing model for EM-sensor mounted on the airframe is made by biquaternion and then the eigenvalue decomposition of spectral matrix is obtained by means of the EVD of its quaternion adjoint matrix. The memory requirement for data is reduced, and more accurate estimation result is gotten by deducing the stronger orthogonality constraint between the sin- gal and noise subspaces on the field of biquaternion. The performance of the new algorithm is confirmed through numerical examples.

针对机载电磁矢量传感器阵列DOA和极化参数估计问题，提出了一种基于复四元数估计方法，该算法利用四元数建立机载电磁矢量传感器阵列信号处理模型，然后利用四元数联合矩阵的特征分解得到阵列数据相关矩阵的特征分解，一方面使得计算过程中数据的贮存量大大减少，另一方面通过推导得到信号子空间和噪声子空间在四元数域上的正交性从而使DOA和极化参数佑计的精度更高，仿真证实了本算法的有效性。

First, based on all that have been mentioned above, the geometric constant D, which was introduced to characterize the quantitative difference between Birkhoff orthogonality and isosceles orthogonality, is studied further. Moreover, attainability as well as continuity and monotony of D in two-dimensional sequence spaces are presented.

基于上述原因，本文首先在已有结论的基础上，对用以刻画等腰正交和Birkhoff正交性之间量化差异的几何常数D进行了进一步的研究，解决了D的可达性，二维序列空间中D的连续性与单调性等问题。

Based on hexahedra vector finite element in ANSYS,a new orthogonal-reinforced hexahedra vector element is created by modifying vector basis functions.Due to orthogonality of sampling nodes and orthogonality of integral simultaneously,the new vector element can strengthen diagonal elements' predominance and quicken speed of solving system question group.

在ANSYS采用的六面体矢量单元的基础上，对矢量基函数作了一些增强正交性的修改，使其同时具备采样点正交性和积分正交性，得到了一种新的正交增强六面体矢量单元；这种新单元能增强系统矩阵的对角占优特性，加快系统方程组的求解速度。

In Chapter 2, we study Isosceles orthogonality and Pythagorean orthogonality, which are natural extensions of orthogonality in Hilbert space.

首先给出Isosceles正交性的性质，揭示了这种正交性与等距算子的密切联系。

In Chapter 3, we discuss the other orthogonalities in in Banach space, and give some properties of them. The emphase of the chapter is to study the relations of Birkhoff orthogonality, Isosceles orthogonality and Pythagorean orthogonality, and it is proved that if one of these induces another, then the space is an inner product space.

第三章研究其它几种正交性问题，讨论Birkhoff正交性、Isosceles正交性与Pythagorean正交性之间的关系，证明了：如果这三种正交性的任一种都蕴含另一种，那么此空间就是内积空间。

First, we give the relation of Birkhoff orthogonality and functionals in Banach space, then use functionals as a tool to investigate the relations of Birkhoff orthogonality and underling Banach space.

首先，建立了Banach空间中两个元素的Birkhoff正交性和线性泛函的关系，然后以线性泛函为主要工具，讨论了Birkhoff正交性和Banach空间结构的关系。

Based on the transfinite interpolation theory, an improved algebraic grid generation method is presented in this paper. Our improvements of existing algebraic grid generation method include:(1) orthogonality control, which greatly improves grid orthogonality adapted to viscous flow calculation;(2) weighted average smoothing, which efficiently handles with grid intersection due to concave corner existence;(3) normal vector control, which adjusts grid smoothing near convex corner.

基于无限插值理论，引入本文提出的网格正交控制、物面法向量控制、加权平均光顺措施，给出了一种改进的空间网格生成方法，有效克服了传统无限插值网格生成方法在复杂外形网格生成方面的缺陷，有效改善了网格的法向疏密性、贴体性及周向网格的均匀性，对真实飞行器部件网格生成非常迅速。

We introduced the method of alternative adjust of orthogonality and concentrativeness. In the process of adjusting orthogonality, concentrativeness is adjusted simultaneously.

本文提出了一种生成网格的改进方法，此方法的本质是交替地改善网格的正交性和汇聚性。

Flow pattern computation is carried out by using a modified function of stream function Laplace equation proposed by the author, and the flow fields of heterogeneous goafs with complicated shapes and along the boundary direction can meet the condition of orthogonality of flow net, and at the same time the orthogonality can be controlled by the precision of split meshes.

指出用 流函数Laplace方程修正函数，对复杂形状和沿多边界方向非均质的采空区流场计算，仍能满足流网正交，其正交性可通过剖分网格精度来控制。

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。