查询词典 normal vector

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要：行列式矩阵的概念及其运算，方阵的行列式，矩阵的分块与初等变换，可逆矩阵，矩阵的秩；向量及其运算，向量间的线性关系，向量组的秩；线性方程组的性质与结构，线性方程组的求解；矩阵的特征值与特征向量，相似矩阵与矩阵可对角化条件，二次型的标准形与规范形，二次型和对称阵的有定性。

The multi-dimensional signals measured by sensors with a machine working under normal condition or fault condition, can be used to build Q statistic and T^2 statistic respectively to detect the state of the machine. Meanwhile, the feature vector is constructed by the Q value and the T^2 value, the geometrical distance between the normal feature vector and the feature vector H when the machine goes wrong is used to realize the fault location. The results show that the method is feasible.

利用多个传感器测量的异步电机多维信号参量，构建电机在正常工作和发生故障时的Q统计和T^2统计，以实现电机的状态检测；利用Q统计和T^2统计值构建电机的状态特征向量，通过比较度量当前电机的特征向量与电机发生故障时的特征向量H的几何距离来实现电机故障的定位与分离实验证明，该方法可以有效地实现故障的诊断与分离。

Also the cases for modifying geometric features such as position, tangency or normal vector of one selected point and a series of selected points are discussed respectively.

根据给定的几何约束，首先在各参数点处分别构造出一系列满足该点处几何约束的局部曲面，并由此构造总曲面。

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。

Testing in terrain relief, and the algorithms can optimize the structure of TIN nicely.(2) According to the smoothness of the terrain and correlation between adjacency data points, the paper studied the possibility of smooth surface constructing of DEM based on TIN. Then based on Tayor fomula, vertical normal vector, triangular decomposition, continuous and smooth of surface and so on, a new kind of interpolate model of DEM was proposed based on TIN.

2分析原始地形起伏变化的连续光滑性以及邻近数据点之间的相关性，探讨了基于TIN的DEM光滑曲面构造的可行性，并基于二元泰勒公式、三角面剖分、曲面的连续光滑性等，提出了一种TIN上的DEM表面光滑插值模型，并通过构造数学曲面进行精度评估，并对模型进行了可视化分析。

Based on the improvement of Taubin s discrete curvature estimation method of triangular mesh by the adoption of area and angle weighted triangle vertex normal vector calculation formula and triangle centroid weights, a novel algorithm for triangular mesh regularization is presented.

采用面积夹角加权的三角网格模型顶点法矢及三角片质心权值对Taubin的三角网格模型离散曲率计算方法进行了改进，在此基础上提出了一种新的三角网格模型优化调整方法。

The wing-edge and wing-patch data structure and fast searching method which combines the index rectangle with compass based normal vector are designed to speed the triangulation algorithm. Application in visualization of oil geological data and griding of mechanical part, the algorithm is efficient, steady and broad-spectrum. It can provide Delaunay triangular mesh for scientific computing and engineering analysis.

算法中采用了翼边、翼面型数据结构和自行设计的索引矩形与基于法矢的指南针法相结合的快速查询法，在石油地质勘探数据场可视化和机械零件网格剖分中的应用表明本文三角化算法具有高效、稳定、适用范围广的特点，能够为科学计算和工程分析提供边界一致的Delaunay三角网格。

Based on the scatted data , a suitable method has been proposed in this paper , in which the least eigenvector of covariance matrix for the local data points is used as the normal vector of the data .

这里针对散乱测量数据点云，以局部数据点协方差矩的最小特征向量作为数据点的方向矢量，并根据实际测量情况，对基于二次曲面拟合的数据点曲率估算算法进行了改进。

For resolving the compromising issue of traditional uniform slicing, adaptive slicing method in Pro/E environment was researched, an adaptive direct slicing algorithm was present that bases on the area change and normal vector of slicing sections.

在RP中，实体模型的描述和分层片堆积成型的阶梯效应是影响快速成形零件的成型精度的主要因素。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。