查询词典 plane curve

In this paper,the B-spline curve is supposed as boundary curves,when they are in two paralled plane and two arbitrary plane,the condition about the control vertex of characteristic polygon when the ruled surface is developable are gained,solved the designing problem of degree and degree B-spline curve .Throughing (2,3) degree and (2,2) degree B-spline ,we haveproved the validity and utility of this method.

本文用两条B样条曲线作边界曲线，当它们位于两平行平面上和两任意平面上时，研究得到了由它们形成的直纹面为可展面时它们的特征多边形顶点满足的条件，解决了(n，n+1)次和次可展B样条曲面的设计问题，然后以(2，3)次和(2，2)次B样条曲面为构造实例，证明了该算法的正确性和实用性。

Both the a-axis and ab-plane dip towards the downstream , the dip angles of the a-axis are low and concentrated, being 7—8°,the ab-plane dips at 7～21°, and the a-axis has more preferred dip of fabrics than the ab-plane; the peak of the grain-size frequency distribution curve of deposits in the Lushan area is in the range of 4 and 5 φ;The quartz sand grains are subangular and have well-developed conchoidal fractures, parallel striatio ns, upturned cleavage flakes,"V"-shaped holes and siliceous deposits.

摘 要：庐山第四纪泥砾沉积物的砾石组构特征表明，砾石岩性与山体基岩基本一致，砾石的等体积球径较小，加权平均砾径较中值砾径大，分选系数大于1，分选性差，φ值相对较小，平均为0.66，F值相对较大，在2左右，F/φ比值介于2.75～4.75，ρ值集中且较小，为22.75%～37.75%，砾石以棱角、次棱角状为主，磨圆较差；a轴和ab面都倾向沟谷下游，a轴倾角集中且较小，为7～8°，ab面倾角为7～21°，a轴较ab面具有更为优势的组构倾向；沉积物粒度频率曲线在4～5Φ范围内表现为峰；石英砂颗粒为次棱角状，贝壳状断口发育，具平行擦痕、上翻解理片、V形坑和硅质沉淀。

First, the paper introduces the moving coordinate system based on the curve tangent vector and the curvature component vectors. Next, the total curvature vector is composed and the osculating plane determined in the moving coordinate system. The curve bending is then calculated and the recursion analysis made on the osculating plane.

鉴于空间曲线上曲率采集面的变化，引入了由曲线切向量和曲率分量决定的运动坐标系，接着在运动坐标系中合成曲率矢量，确定密切平面，然后在密切平面中对曲线进行弯曲计算和运动坐标系的变换分析，并对相关公式进行了推导。

The pencil of plane quadratic lines is the foundation for studying plane cubic curve and hig-her plane curves.

平面二次线束是研究平面三次代数曲线和高次曲线的基础。

Prove, proof 直线:straight line 曲线:curve 平面:plane 举例: any of a set of two or more numbers used to determine the position of a point, line, curve, or plane in a space of a given dimension with respect to a system of lines or other fixed reference.

由两个或多个数值组成的数组中的任一数值，用来在一个直线系统或其它固定参照数值方面决定点、直线、曲线或平面在已知范围空间内的位置。

The interpolation algorithm of introduced error compensation for complex parametric curve in space is proposed for the high precision interpolation of parametric curve on the basis of studying the first, second order taylor expression parametric curve interpolation algorithm and the plane parametric curves interpolation algorithm.

以一、二阶泰勒展开式参数曲线插补算法和平面参数曲线插补算法研究为基础，提出引入误差补偿值的复杂空间参数曲线高精度插补算法以实现空间曲线的高精度插补。

Next, what have double input and variable of 2 dimension appearance in the light of a kind is nonlinear system, used opposite curvature concept and curve to design controller of contract of appearance of 2 dimension plane by basic theorem, the curve of contrail of appearance be accusinged that controller of contract of this kind of appearance can assure a system and referenced contrail curve have identical figure.

梗概： 针对一般控制系统，利用微分几何中的曲线理论提出了外形变量、被控外形轨迹曲线和外形合同控制等概念。然后，针对一类具有双输入及二维外形变量的非线性系统，利用相对曲率概念和曲线论基本定理设计了二维平面外形合同控制器，这种外形合同控制器能够保证系统的被控外形轨迹曲线和参考轨迹曲线具有完全相同的外形。

The first section is descriptive geometry, including basic knowledge of cartography and projection, projections of point, beeline, plane and their interrelations, projection transformation, curve, curving plane, the projection of curving plane solids, line of section, line of intersection, section and segmentation, elevation projection, dimetric projection.

第一部分为画法几何：其中有制图基本知识，投影的基本知识，点、直线、平面的投影及它们之间的关系，投影变换，曲线、曲面及曲面立体的投影，截交线与相贯线，剖面图与断面图，标高投影，轴测投影等。

Inner point and exterior point of a quadric and its plane of the type of contact plane;2. The article gives a way by which a quadratic curve is processed by a linkage,and then a quadric can be formed by revolving the quadratic curve as a generatrix around the axis.

提出一种利用能够生成二次曲线的连杆机构作辅助装置，将生成的二次曲线作为母线绕轴线旋转而形成旋转二次曲面的方法，从理论上进行了推导，并通过实例说明了该方法的应用。

In order to control the flow separation by reducing the diffusion factor and enlarging the diameter of inner circle, the meridian plane profile of the return channel was redesigned, which is achieved by substituting arbitrary curve for the circle with no change of the axial length of the stage. Bezier curve with eight parameters was chose to describe the shape of meridian plane profile, and the optimization of the meridian plane profile was implemented combining back-propagation neural network with genetic algorithm.

改进的主要思路是减小弯道前半部分通道的扩压度，并同时加大弯道出口内侧的转弯半径，主要做法是在不增加整级轴向尺寸的前提下，用任意曲线取代传统弯道的同心圆环结构，给定弯道回流器子午型线的外侧型线，采用Bezier曲线对内侧型线的2段曲线进行参数化描述，利用遗传算法和反向传播(back-propagation，BP)神经网络相结合的方法对内侧型线进行优化，得到新的弯道回流器子午型线。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了