rational space curve

We shall explore the theory and computational methods of the singularities of rational planar curves and rational space curves fromμ-bases.

本文中我们将首先讨论基于μ基的平面有理曲线与空间有理曲线奇点的理论及计算。

A expression of tangential vector about space curve;

空间曲线切向量的一种表达

By making some improvement on the space curve and be.

针对唐钢高线吐丝机存在的吐丝质量问题,采用三次样条拟合现场实测数据得到吐丝管曲线方程;根据吐丝管中线材的速度和受力模型,分析线材在吐丝管中的运动状态,研究吐丝管空间曲线对吐丝质量的影响,得到吐丝管空间曲率波动过大和出口速度变化过快是导致吐丝质量不好的主要原因;通过改善吐丝管空间曲线和规范煨管工艺制度,显著改善了甩尾、吐圈摆动等吐丝质量,吐丝管寿命提高了1倍。

In order to process conveniently,we need to fit out with suitable style space curve usually in (numerical) control processing.

在数控加工中,通常需要将空间曲线用合适的样条拟合出来,以方便加工。

Description of GIS spatial curve based on ant colony algorithms;

用蚁群算法实现地理信息系统空间曲线的描述

Method of drawing spatial curves in 3D-GIS;

3D-GIS中空间曲线绘制方法研究

In spatial analytic geometry,a spatial curve is an intersecting line of two curved surfaces.

在空间解析几何中,空间曲线是两曲面的交线,在空间曲线中消去一元,即得投影柱面。

It is special example that gets requesting of curled curved surface and solid volume of corral of spatial curved Γ revolved axle of coordinate to curl,and gets requesting of curled curved surface and solid volume of corral of spatial curled Γ revolved spatial line l and axle of coordinate to curled.

首先给出空间简单光滑曲线Γ绕空间直线l旋转所得到的旋转曲面面积以及围成立体的体积求法,作为特例又给出了空间曲线Γ绕坐标轴旋转所得到的旋转曲面面积及围成立体的体积求法,同时也得到了平面曲线Γ绕直线l及坐标轴旋转分别所得到的旋转曲面面积和围成立体的体积求法。

intrinsic equation of a space curve

空间曲线的内蕴方程

The Parameter Equation of Space Curve s Projection on the Plane;

空间曲线在平面上的投影曲线参数方程

Equations of Space Curves with Constant Curvature and Torsion;

给定曲率和挠率为常数的空间曲线方程

A Research of the Classification of Space Curve By the Relations between Curvature and Torsion

用曲率和挠率的关系研究空间曲线的分类

Research on attrition loss of prestress wire with space curve

空间曲线预应力束摩阻损失试验研究

Application of Newton-Lebniz formula in plane curve integral and space curve integral.;

牛顿-莱布尼茨公式在平面曲线积分和空间曲线积分中的应用

The succession of points occupied by the particle will trace out a curve in space.

质点连续经过的点描绘出一条空间曲线。

Special Curves and Developable Surfaces in 3-Space Minkowski;

三维Minkowski空间中的特殊曲线和可展曲面

The Principal Normal Surface of a Nonlightlike Curve in Minkowski 3-Space

三维Minkowski空间中非类光曲线的主法线曲面

Special Space Curve and the Classifications of the Singularities of Developable Surface in R_1~3;

R_1~3空间中特殊曲线和可展曲面的奇点分类

The Spherical Darboux Image of Nonlightlike Curve in Hyperbolic 3-Space

三维双曲空间中非类光曲线的球面达布像集

SOME NEW PROPERTIES OF ALGEBRAIC CURVES AND HYPERSURFACES IN PROJECTIVE SPACE

射影空间中代数曲线与超曲面的一些新的性质

Spatial tuning curve recording in inferior colliculus during electrical stimulation of the cochlea

电刺激耳蜗记录下丘的空间调谐曲线

A High-Speed and High-Precision Interpolation Mathod for Free-Form Curve;

空间自由曲线的快速高精度插补算法

Geometrical Particle Models in Lorentz Space L_4 on Non-null Curves;

Lorentz空间L_4中非零曲线的粒子模型

Trajectory Control of Spatial Intersected Curves in Automated Welding;

空间相贯曲线自动焊接中的轨迹控制

Represent the Intersections Curves of Two Surfaces by Using MATLAB;

利用MATLAB表现空间曲面的交线

Projection Classifly the Conics at Projective Space of Dimension 2;

二维射影空间的二级曲线的射影分类