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二次曲面方程
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  quadric surface equation
     The Standardization of Quadric Surface Equation and Its Graphic Essence
     二次曲面方程的标准化及其图形实质
短句来源
     Using the method of least square, the parameters of the general 3 D quadric surface equation are solved by the coordinates of measured points. Through coordinate transformation, the canonical equation can be acquired, then it can be compared with designed equation and the drawing of 3 D reconstruction can be plotted.
     该方法首先用被测点的坐标值 ,由最小二乘法获得测量坐标系下的一般三维二次曲面方程的参数 ,然后经过坐标变换得到标准方程的参数 ,再把它与设计的参数相比较 ,并可以由获得的标准方程重构出被测物体的曲面图形。
短句来源
  “二次曲面方程”译为未确定词的双语例句
     In this paper, FEM (Finite Element Method) is used to calculate the contact stress of hybrid ceramic ball faring at 60000r/min by Ansys 5.7. And conicoid function is used to simulate the interface shape.
     本文提出用有限元法,并借助于有限元分析软件ANSYS5.7对转速为60000r/min的深沟混合陶瓷球轴承接触应力进行计算,并用二次曲面方程对接触曲面的形状进行拟合。
短句来源
     From the equation for conic aspheric, derived a set of algorithms from which the conic constant k and the paraxial radius of curvature r be obtained. The experimental results of the 760mm×200mm aspheric are presented, the fitting accuracy arrived to Δk=(0.015), Δr=(0.341)mm, thus the deviation of the two indexes be controlled effectively.
     基于二次曲面方程,推导出确定光学非球面二次曲面常数k以及顶点曲率半径r的一组算法,并在对一块口径为760mm×200mm标准非球面反射镜的实际测算中进行拟合,经过优化,拟合精度达到Δk=0.015,Δr=0.341mm,从而有效的控制了光学非球面制造过程中的顶点曲率及二次曲面常数的偏差。
短句来源
     ,In this paper, the criterion and properties of inverse projective transformation and a special transformation involutory projective transformation in n dimensional projective spaces is studied. At a projective geometry angle,it is proved that for a non degenerate quadric surfaceΣ:∑n+1i,j=1aijxixj=0,aij=aji,|aij|≠0 by selecting a correct self conjugate n+1 planes body as coordinate n+1 planes body,the brief form of quadric surface is ,,,b1x21+b2x22+…+bn+1x2n+1=0 .
     本文研究了n维射影空间中的逆射变换的确定、性质及其一类特殊变换——配极变换的性质.从射影几何角度证明了如下结论:在Pn中对非退化的二次曲面Σ:∑n+1i,j=1aijxixj=0,aij=aji,|aij|≠0.经过适当的射影变换,即选择恰当的自共轭n+1面体作为参考坐标n+1面体时便可把二次曲面方程化简为标准式:b1x21+b2x22+…+bn+1x2n+1=0
短句来源
     The moving direction was defined considering the normal directions of two boundary triangle faces . The equation of the conicoid was used to calculate the new coordinates of the node after moving.
     挪动时根据该边所参与的两个边界三角形面的法向方向来确定加密点的挪动方向,再结合二次曲面方程来计算出挪动后点的新坐标。
短句来源
     The simulation model of light-emitting light was developed. The spatial square curve function was used to express the encapsulated structures in the simulation.
     采用 Monte Carlo方法对不同光学封装结构的 L ED进行模拟 ,建立了小功率 L ED的仿真模型 ,应用空间二次曲面方程描述 L ED的封装结构 ,对其光强分布进行模拟和统计 .
短句来源
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  相似匹配句对
     The Standardization of Quadric Surface Equation and Its Graphic Essence
     二次曲面方程的标准化及其图形实质
短句来源
     INGENIOUS APPLICATION OF TANGENT PLANE EQUATION OF QUADRATIC SURFACE
     巧用二次曲面的切平面方程
短句来源
     The equation is an extensiveSchrodinger one.
     dinger方程
短句来源
     Synthetic Aperture Radar Equations
     合成孔径雷达方程
短句来源
     Research of the Ruled Quadric
     二次曲面讨论
短句来源
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In this paper the problem of correlation of bundles,with the algebric method,is studicddeeply.The major contents as follows:1.Algebraic form of the correlation of bundles;2.Extanding the correlation of field into bundles;3.General equation and properties of the quadratic surface formed by two projectivebunddcs.The results of this paper can be used in computer graphic and reference for futher devel-oping the projective theory of bundles.

本文用解析法对把的异素对应进行了分析和研究。主要内容有:1.给出把的异素对应的解析表达式;2.将平面场的异素变换扩展成把的异素变换;3.给出由两个射影把构成的二次曲面的方程及性质。本文所得结果可供计算机绘图及进一步研究把的射影理论参考。

Classing and simplfing general guadratic curve and its equation is difficult one in teching analytic geomefry.Many teaching materials introduce it through simplifmg invariant.But it is difficult to remember the definition of invariant.and it is not easy to be accepted and used.This paper explain invariant through higher algebra.and introduce a brief table. It can help readers to simplify and classify the equations of general gudratic curucs quickly.Recommending method is this pape/s purpase.Theories concerned...

Classing and simplfing general guadratic curve and its equation is difficult one in teching analytic geomefry.Many teaching materials introduce it through simplifmg invariant.But it is difficult to remember the definition of invariant.and it is not easy to be accepted and used.This paper explain invariant through higher algebra.and introduce a brief table. It can help readers to simplify and classify the equations of general gudratic curucs quickly.Recommending method is this pape/s purpase.Theories concerned cann be consulted in the teaching meterial of analytic geornetry.

一般二次曲线和二次曲面方程的简化和分类是解析几何的教学难点之一,不少教材介绍了利用不变量和半不变量化简的方法,但由于不变量和半不变量的定义冗长,难于记忆,因而难于运用。本文用主子式描述不变量和半不变量,并介绍记忆简表,可帮助读者快速分类并简化二次曲面(线)方程。

A new method of simplifying equations of guadratic surfaces is discussed.By means of this method,the equations of general guadratic surfaces are established,in which one axis of symmetry is given,and classified.

二次曲面方程的化简提供了一种新方法,在已知二次曲面的一条对称轴的情况下,建立二次曲面的方程,并对二次曲面进行分类

 
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