coordinate geometry

1. Several coordinate measuring machine geometry error models of several kinds in common use are analyzed in this paper.
   分析了坐标测量机几何误差的几种常用模型，提出了基于神经网络的单项几何误差模型。
2. The spatial attribute is a coordinate geometry, or vector-based representation of the shape of the feature.
   而空间数据则为空间对象的几何坐标或向量表示。
3. Life can precisely coordinate Lifestyle can also pinpoint! Read the Geometry Timber design inspiration to experience the diversity of current style Together to find your own lifestyle!
   人生可以精确坐标，生活方式同样可以精确定位！阅读几何实木的设计灵感，体验多样潮流风格，一同找寻属于你的生活方式！
4. This paper presents a simple method with which complex calculating can be avoided and next unknown node coordinate can be found from known one by using simple geometry relationship.
   文章提出了一个用直线逼近渐开线的简易计算方法，这个方法避免了复杂的运算。
5. The main idea of coordinate geometry was not eagerly seized upon by mathematicians for many reasons.
   由于种种原因，使坐标几何的主要思想没有被数学家热情地接受并利用。
6. An improved coordinate transform is proposed and then the differential geometry approach can be directly used to obtain the nonlinear control strategy of SSSC.
   提出了一种改进的坐标变换，使得微分几何方法可直接应用于求解静止同步串联补偿器（SSSC）非线性控制策略。
7. The approach is to solve z-axis coordinate according to the sensed x-axis and y-axis coordinate data, as well as the spherical geometry relationship analysis, the orientation matrix describing the spherical motor motion can be given and solved based on the screw theory.
   这种方法是通过球面的几何关系，由检测到的x和y坐标方向的位置数据计算出z坐标方向的数据，并根据旋量理论建立球电机运动的旋转矩阵和计算出旋转矩阵的旋转角度。
8. Applicafion of the Coordinate of Center of Gravity in Solid Geometry
   重心坐标在立体几何中的应用
9. With special relational expression, we prove that the coordinate alternate of hyperbolic geometry correspond to relativized velocity's alternate and the hyperbolic space is a part embedded equidistantly in pseudo-Euclidean space of velocity.
   结果表明，在一定的映射关系下，双曲坐标变换对应于相对论速度变换，双曲几何空间构成伪欧速度空间的等距浸入子空间。
10. Single view metrology compute the 3D coordinate of a point based on the projective geometry's characteristic of cross-ratio invariability.
    单视图测量理论主要是利用了射影几何中的交比不变性来计算图像上点的三维坐标。
11. The results showed that using universal coordinate transform program and analytic geometry method could resolve the problem of measuring area for GPS without function of measuring area.
    结果表明，利用通用坐标转换程序，结合解析法求算面积的方法是解决无测积功能GPS测量面积的理想方法。
12. In the dual-galvanometric laser scanning, there was non-linearity mapping relation between the output Cartesian coordinates of object lens scanning plane system and the coordinate of laser scanner. It made the laser scanning geometry to be distorted.
    双振镜激光加工中，物镜平场扫描系统中，输出平面笛卡儿坐标系与扫描器球面坐标系之间存在着非线性映射关系，使扫描加工图形产生图形加工畸变。
13. The range of local body-fitting coordinate mesh adjacent to the wall with special geometry should not be too wide or extended, or it would cause the aberration of computational results.
    特殊几何形状壁面附近局部贴体坐标网格的范围不宜太大，否则会引起计算结果的畸变。
14. This method transforms the reduction ratio measurement into 3-dimensions coordinate measuring of joint end according to the basic geometry principles.
    该方法根据基本的几何原理把减速比的测量转化成了机器人关节末端所处位置三维坐标的测量。
15. A Study of Coordinate Measuring Machine Geometry Error Model Based on Neural Network
    基于神经网络的坐标测量机几何误差模型研究
16. According to the coordinate values and formulas of analytic geometry, the distances ( measured distance) of the lines ( line segment) between the measured points and the angles ( measured angle) of three standard coordinate planes can be calculated.
    根据坐标值和解析几何公式，还可推算出所有测点间连线（线段）的距离（测距）及其与三个基准坐标面的角度（测角）。
17. Detection of Missile Body Coordinate and Geometry Parameters Based on Optical Reference Methods
    基于光学基准法的导弹弹体几何参数检测
18. Coordinate geometry V: Real metric planes ( cont.)
    坐标几何V：实度量平面（续）
19. Coordinate Geometry ⅵ: Complex Planes, Real-complex Planes and their Real Subspaces, the Complexification of Real Planes
    坐标几何Ⅵ：复平面，实复平面及其实子空间，实平面的复化
20. Coordinate Geometry V: Real Metric Planes
    坐标几何V：实度量平面
21. The Computer Aided Quality Inspection method of combining the coordinate measuring machine ( CMM) and 2-D CAD geometry information extracted from DXF is illustrated by an example.
    以一支座为实例介绍了一种利用三坐标测量仪与从二维工程图的DXF文件中提取的CAD几何信息相结合实现计算机辅助产品质量检测的方法。
22. In this paper the polar coordinate system and the polar coordinate translation are unified to the theory of differential geometry, which also leads to the chain rule in the classical analysis: And the results above are extended to a general situation in the meantime.
    本文讨论极坐标系与极坐标变换统一到微分的观点之上，由此也可同样地得出古型分析中的链规则（复合函数的求导法则）：并将上述结果推广到一般情况。
23. The second chapter points that GML is a application of XML in geography, which can describe geography including features, coordinate reference systems, geometry, topology, etc.
    第二章叙述XML技术及其在地理上的应用，GML可表达描述地理信息，SVG为可视化GML提供了方便。
24. THE DEFINING OF THE INNER PRODUCT AND OUTER PRODUCT OF VECTOR BY COORDINATE METHOD& One of the Systems on Space Analytic Geometry
    用坐标法定义向量的内积外积空间解析几何新体系之一
25. The polar coordinate system and the polar coordinate translation in view of differential geometry
    用微分的观点看极坐标系与极坐标变换
26. The paper discussed several problems should be paid attention to in the three-coordinate measuring geometry element as plane, circle, cylinder, bevel, as well as how to correctly determine the distance among various elements.
    探讨了三坐标测量几何元素（平面、圆、圆柱、斜面）时应注意的几个问题以及如何正确评价各种元素之间的距离关系。
27. Utilizing the coordinate transformation of differential geometry, a general way of transforming the nonlinear system into lower triangular form is afforded.
    以微分几何中的坐标变换为工具，给出了将非线性系统化成下三角形式的一般方法。
28. Including comprehensive error modeling bases on the homogeneous coordinate transformation method, ball bar detection geometry and thermal error separation principle, and ball bar ball seat installation error separation method.
    主要包括基于齐次坐标变换法的综合误差建模，球杆仪检测法的几何及热误差分离原理，以及球杆仪球座安装误差的分离方法。
29. The expressions of the constitutive equations and the equilibrium equations were deduced in spherical coordinate system. Then the geometry equations, the compatibility equations and the boundary conditions were obtained by the use of the logarithmic strain.
    在球坐标系下推导出球形孔洞膨胀有限弹塑性变形问题的本构方程及平衡方程的表达式。并利用对数应变，得出几何方程及协调方程和边界条件。
30. The establishment of three coordinate system model to realize geometry assembly operation movement, completed parts of the precise positioning table, adopting the interactive model in virtual assembly system to operate assembly simulation, and records of the assembly sequence and path of the assembly.
    建立建立三坐标系模型实现了几何的装配操作运动，完成了转台零件的精确定位。采用人机交互模式在虚拟装配系统中进行了装配仿真，并记录了装配序列和装配路径。

noun

1. the use of algebra to study geometric properties

   Synonym:    analytic geometryanalytical geometry