查询词典 osculating

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。

For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r"‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

In this paper an analysis has been made to some regions of magnetosphere, including the Nightside, Cusp and Duskside. By applying the Curvature Radius Method to the magnetic field data measured by four satellites of Cluster, the geometrical structure of Magnetic Field Lines, including the curvature radius, directions of curvature and normal of the osculating planes of the Magnetic Field Lines have been investigated.

本文采用曲率半径分析方法，结合Cluster立体探测的相关知识和背景，利用Cluster立体探测的优势，通过对Cluster 2001年的立体探测数据的研究，分析了磁层各区域的磁力线结构，包括背阳面、Cusp区以及昏侧，得出各区域中磁力线的曲率半径大小，曲率矢量以及磁力线密切面的法线矢量的方向。

One is based on the B-spline fitting to the contours;the other computes the curvature directly taking advantage of the relation of curvature and osculating circle.

一是基于轮廓的B样条拟合，通过计算拟合B样条曲线在各采样点处的曲率估算轮廓点的曲率

The nonlinear simplx method with punish function are used to optimize the Osculating -Cone waverider with lift-to-drag ratio as the objective function and volumetric efficiency .length as limitation.

进一步的优化过程采用结合惩罚函数的单纯形法对吻切锥乘波机以升阻比最大为目标、以容积效率、长度为约束条件进行了乘波机构型优化，生成了更为适合应用的乘波机外形。

With differential geometry knowledge, the local characters of the blade surface are analyzed. Based on researching the cylindrical cutters osculating location, the methods to calculate the osculating location of the conic cutter and the torus cutter are discussed. A method of tool path planning based on the second order osculating method is preferred.

利用微分几何学知识，分析了螺旋桨桨叶曲面的局部特征，在研究圆柱刀二阶密切法规划刀位的基础上，探讨了圆锥刀和圆环刀的二阶密切刀位计算方法，采用二阶密切法规划刀位可以显著地提高加工精度。

According to the relevant datums and field investigations, the paper makes No. 316 national highway in South region as research region to analyze the conditions of inoculating disasters and slope s transform destruction model and draws such conclusions:(1)Many factors such as terrain, geomorphic, lithosome and solum character, geologic structure, neotectonic movement, rainfall condition, groundwater trait, anthropokinetic and so on influence on the study region, which make the geological disasters occurred frequently and generate enormous hazards.(2)The geological disasters have such distribution characteristics: terrain and tectonic make geological disasters development of osculating correlated property, relative concentrate property, packet property, periodic property and so on.

本文首先在搜集相关资料和野外调查的基础上，以陕南316国道公路为重点研究区，全面分析了研究区域内地质灾害的孕灾条件与斜坡变形破坏模式，得到了以下认识：(1)研究路段地质灾害的发生发展主要受控于区内地形地貌、岩土体特性、地质构造与新构造运动、降雨条件、地下水特征及人类工程活动等因素：(2)研究路段发育滑坡、崩塌、泥石流和危险斜坡等四种地质灾害，具有如下的分布特征：地势与构造对地质灾害发育的密切相关性、相对集中性、群发性、周期性等；(3)研究路段斜坡地质灾害主要有六种变形破坏模式分别为：顺层滑动破坏、蠕滑—拉裂变形破坏、弯曲—拉裂—剪断破坏、旋转式滑移—拉裂破坏、楔形体滑动破坏、堆积层沿基岩面的滑动破坏模式，而且斜坡灾害的变形破坏往往是多种模式的组合。

The Nurt area is located in the north of Altay, Xinjiang, where the granites are widely exposed. The intrusion is adamellite and belongs to high kalium cal-alkaline series with peraluminous characteristics, showing an osculating relationship with the Aketisikan gold deposit.

新疆诺尔特地区花岗岩分布广泛，其中阿提什花岗岩体与燕山期阿克提什坎金矿床在时间、空间上密切相关，该岩体为二长花岗岩，具铝过饱和特征，属于高钾钙碱性系列。

Furthermore, the degree of optical purity of pesticides is osculating with the degree of chiral intermediate.

手性药物的光学纯度高低直接和生产该药物的手性中间体的光学纯度密切相关。

The method also can be combined with J_2 invariant conditions and be described by osculating orbit elements.Finally,the results indicate that the formation drifts are greatly reduced with the optimized initial mean anomaly.And the drift of formations set up in osculating elements is decreased by(81.8681) percent,compared with that in mean elements,which proves the feasibility of this optimization design.

仿真算例表明：优化设计结果可以明显降低大椭圆轨道编队卫星的相对漂移量，与平根数描述的编队初始条件的设计结果相比，相对距离极大值点的漂移量降低约81.8681%，验证了基于主星平近点角初值的大椭圆轨道编队优化设计方法的可行性。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐