旋转向量

A number of condition monitoring and fault diagnosing systems of rotating machinery have been developed and applied in practice.

本文对统计学习理论和支持向量机在旋转机械故障诊断中的应用进行了较全面的研究。

The angle can be calculated according to weighting factor in the three-dimensional space.

2在向量空间中计算旋转变换的角度，不同的角度下对应不同的因子载荷，当因子载荷在不同波段上的分布离散度较大时，具有较好的分类结果，便于结果的解释

In this paper we discuss the existence of surfaces of rotation about given Gauss curvature function in R 3 and give the position vector field of these surfaces.

讨论了R3 内给定 Gauss曲率函数的旋转曲面的存在性问题并且给出了这类曲面的位置向量场。

Based on scale SVD transform, a target feature extracting method is proposed to solve this difficult problem. The experimental result shows that this method has favorable stability to target matrix's SVD feature vectors, and high invariant property to displacement, rotation and scale.

为解决这一技术难题，文中提出了基于尺度奇异值变换的红外图像目标特征提取方法，实验表明该方法提取的目标矩阵的奇异值特征向量具有较好的稳定性，对图像的平移、旋转和比例变化具有良好的不变性，是一种实用的特征提取方法。

Function graphing and analyzing: 2D, 2.5D functiongraphs and animations, extrema, root, tangent, limit,derivative, integral, inverse; sequence of number: arithmetic progression, geometric progression; analytic geometry: vector, line, circle, ellipse,hyperbola and parabola; solid geometry: spatial line, prism, pyramid, cylinder, cone, dado and sphere; Ability to save graph as data file or bmp file; Ability to save animation as AVI file; Ability to move, zoom in, zoom out and rotate the scene.

函数图表和分析：2D， 2.5D 函数图表和动画，极值，根，正切，极限，导数；序列号：等差数列，等比级数；解析几何：向量，矢量，直线，圆，椭圆，双曲线和抛物线；立体几何：空间线，棱柱，三角锥，圆柱，圆锥体，梯形台和球体；保存图形为数据文件或者图像文件的功能；保存动画为 AVI 文件的功能；移动，缩小，放大和旋转场景的功能。

Camera calibration is done to get inter nal projection matrix of cameras and the rotation transformation matrix and tran slation vector between two camera coordinate system.

算法通过相机标定获得投影矩阵、相机坐标系间的旋转变换矩阵和平移向量。

At the next stage, rather than repeating the search process with the same set of orthogonal vectors, as is done for the method of local variations, Rosenbrock rotates the set of directions to capture information about the objective ascertained during the course of the earlier moves.

在下一阶段，就不是像局部变量方法一样重复搜索同样集的正交向量了，Rosenbrock旋转了方向集来获得在早期移动过程中确定的目标的信息。

When rotational axis are unknown, the general solution of camera intrinsic parameters is obtained by the eigenvectors of 2D projective transformation.

在摄像机绕未知轴旋转时，根据相应的2D投影变换，运用矩阵特征向量理论给出了内参数的通解公式。

Inscribed polygons are used to approximate a circle, and the number of line segments compose the polygon is detemined by the radius and its image of a circle. Calculation of rotation angles between circle and world coordinate systems with normal vector of circles is also discussed. The proposed approach is tested with several real image data, and results are very satisfying.

讨论了利用空间圆所在平面的法向向量计算空间圆局部坐标系相对于物方坐标系的两个旋转角的方法，系统论述了基于物方直接解和直线段最小二乘模板匹配方法进行空间圆匹配与重建的数学模型，并利用实际图像数据进行了重建实验，取得了较好的重建结果。

Deducing error equation that used vector rotating and transfer of axes theory,Measuring out measurement parameter error on different orthogonality by testing optical-electrical device.

提出误差推导的一种新方法，利用向量旋转及坐标系变换理论推导出误差公式。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。