方向余弦

To resolve the question about direction cosine when three-COMERO produced by COORD3 works, the formula of direction cosine of every probe is demonstrated in geometrical relationship from the explanation about gauging and qualification of probe, which provides academic proof for the probe worked correctly.

摘 要：针对COORD3公司三坐标测量机使用中有关方向余弦的疑点，从探针的标定和校正入手，对每个探针的方向余弦公式进行了几何关系上的论证，为探针的正确使用提供了理论依据。

In this paper, a simple calculating method to establishthe interconversion between Eulerian angles and direction cosine by Spherical Trigonometry is presented.

为了从多个角度使用不同的手段研究旋转变换问题，本文提供了一种非常直观、简捷的计算方法，即利用"球面三角"的方法建立了用欧拉角与用方向余弦描述三维图形旋转变换的转换关系。

At the same time, according to the CMM operational principle and the direction cosine of geometric elements, a thought of using direction cosine to analyze the oversize geometric tolerance reasons was proposed and its relevant example was shown, which can expand the way of quality analyses and guide to produce eligible machine parts.

同时在描述三坐标测量机工作原理和几何元素方向余弦的基础上，提出了利用方向余弦进行形位公差超差原因分析的总体思路，并辅以实例，这一办法拓宽了产品质量分析手段，有助于指导制造出合格的机械零部件。

Based on the description of three-COMERO operational principle and the direction cosine of geometric element, a thought that uses direction cosine to analyze reasons of oversize geometric tolerance is advanced and relevant example is showed, which can expand the way of analyzing quality and direct to produce an eligible machine part.

在描述三坐标测量机工作原理和几何元素方向余弦的基础上，提出了利用方向余弦进行形位公差超差原因分析的总体思路，并辅以实例，拓宽了产品质量分析手段，有助于指导制造出合格的机械零部件。

In this thesis, with the aid of the method of reconstructive direction cosine matrices of the analysis and synthesis of spatial mechanism, the more overall and systematic theoretical research is done about trident-bar universal joint and drawn some useful conclusions about kinematics analysis, dynamics analysis, kinematical precision analysis, vibration analysis, simulation and experimental results analysis, mechanism type selection analysis based method of fuzzy distinguishable pattern, integrated designing prototype system.

本文以改造的方向余弦矩阵为数学工具，以三叉式万向节为研究对象。进行了机构有关的解析求解、仿真和试验结果分析，基于模式识别技术的机构选型及机构的集成设计原型系统，得出了以下结论：(1)采用改造的方向余弦方法适用于空间机构的运动求解及动力求解。它的特点是解析明了，以矩阵方式体现，适合计算机求解。并以万向节为实例进行了万向节的详细的运动分析，建立了求解的各个变换矩阵，得出了机构的详细的运动关系。

In this beamline, with the neutron depolarization technique, provides information of the mean domain size, the mean square direction cosine of the magnetic induction in the domains, and the mean magnetization of a magnetic sample.

三维去极化中子仪主要为观察极化中子通过磁性材过程，受到内部磁区的扰动使得极化中子向的方向和大小改变，进分析后可以观察出材内部平均磁区大小、平均感应磁场强、磁区平均方向余弦的平方。

Direction cosine analysis based on winmeil;2. According to the directioncosine formula in hexahedron tubular hea ter,the direction cosine of energy bind in inclined and symmetry tubular heater is stuided.

分析了用蒙特卡罗法计算加热炉辐射传热时能束的发射方向和行程长度，根据六面体加热炉中能束的方向余弦公式，对斜顶对称加热炉中发射能束的方向余弦进行了研究，得到了其修正公式，对斜顶壁面相交坐标进行了修正。

The launching direction and journey length of energy bind in calcula ting the radiation heat transferring in tubular heater by method of Monte-Carlo are analysed. According to the directioncosine formula in hexahedron tubular hea ter,the direction cosine of energy bind in inclined and symmetry tubular heater is stuided.

分析了用蒙特卡罗法计算加热炉辐射传热时能束的发射方向和行程长度，根据六面体加热炉中能束的方向余弦公式，对斜顶对称加热炉中发射能束的方向余弦进行了研究，得到了其修正公式，对斜顶壁面相交坐标进行了修正。

Where is the direction cosines of the direction .

其中是方向的方向余弦。

The bar directions are conveniently specified by direction cosines.

杆的方向通常用方向余弦来表示。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。