空间曲线

In the classification of QSIC, the notion of affine finiteness of a space curve is put forward.

在对两二次曲面交线的拓扑分类中，本文提出了空间曲线的仿射有限性这一性质。

The trajectory of antisubmarine homing torpedo is a complex space curve, so there is big limitation in accounting its trajectory length by plane geometry.

由于反潜自导鱼雷的弹道是一条复杂的空间曲线，因而平面几何解析法求解其弹道长度有较大的局限性。

This study is very important to offline programming of arc robot in spaced welding.

这一研究对空间曲线的弧焊机器人离线编程提供了重要的技术支持。

The minimal surface have been extensively employed in many areas such as architecture, material science, aviation, ship manufacture, biology and crystallogeny and so on. In this paper we have some element works on minimal surface from the point view of CAGD It is well-known that there does not exist any other quadratic minimal surface except for the plane.

以肥皂膜问题为物理背景的极小曲面问题或者Plateau问题—寻找以给定空间曲线为边界的面积极小的曲面，从18世纪提出到现在一直是微分几何和偏微分方程理论的重要课题，微分几何领域已经有了极其丰富的极小曲面理论。

In order to process conveniently,we need to fit out with suitable style space curve usually in 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。

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。

A New Method to Obtain Discrete Cutting Points of Space Curve in Three-Dimensional Laser Cutting.

激光三维切割空间曲线的刀位点离散方法。

The high precision reflector panel is part of a paraboloid of revolution. Taking the forming technique of separated manufacture, the precision of the panel edge is important as it is a curve in space.

高精度反射器面板型面为旋转抛物面的一部分，采用分块成形拼接安装的方法制造，每块面板的边缘形状为空间曲线，对边缘精度要求很高。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

The characteristics of cutting edge and cutting advantages for a new type of ball end mill with space curve cutting edge is introduced,the calculating method of curve geometric parameters is explained,and the manufacture technology is presented.

介绍了一种新型空间曲线刃球头铣刀的刃形特征和切削优点，详细分析了其空间几何参数的计算方法，简要说明了其制造工艺。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。