查询词典 curve in space

By means of uniting geometry with algebra, the arc length, tangent line, cotangent space and curvature of curve in four dimensional space are investigated, and the corresponding calculation formula in each cases are given.

用形数结合的观点研究了四维空间中曲线的弧长、切线、法空间和曲率问题，并给出了其计算公式。

In this limiting process where the closed curve shrinks to a point, size and shape automatically vanish from our considerations and we obtain laws connecting changes of magnetic and electric field at an arbitrary point in space at an arbitrary instant.

在闭合曲线缩成一点的极限情况下，线圈的大小和形状就自然而然地从我们的考虑中消失，于是我们就得到把任何时刻及空间中任何一点的磁场和电场的变化连结起来的定律。

The principle of moving point constraints in-betweening technique is to associate a curve varing in space and time with some points of the animated object.

移动点约束条件插补法利用随时间空间变化的曲线与彩体上的点相关联，来控制关键帧上对应控制点的轨迹以厦动态特征。

Under this situation, sparse signal expansion theories, a kind of new multiscale analysis theory that has been developed in recent years, possess a better performance in detecting the singularities of the signal with straight line or curve in high dimensional space and can be used to express signals with sparse coefficients.

而稀疏信号表示理论是近几年发展起来的一类新的多尺度分析方法，它们对高维空间中具有直线或曲线奇异性信号具有良好的检测性能，可以用稀疏的系数来表示原信号。

This algorithm changes the detect points on the target trajectory to the respective curve in parameter space, which takes full advantages of the target detect data in a certain period, and the trajectory characteristics can also be picked up even under low SNR.

该算法把航迹上的观测点变换为参数空间的对应曲线，充分利用一段时间内的目标观测数据，在低信噪比下也能从背景噪声中提取目标的航迹特征，提高了声呐的检测概率，且对部分信息和数据的缺失不敏感。

A NURBS surface can be trimmed conveniently also along the projection line in specified direction on the surface from a curve in 3D space.

为了提高Trimmed NURBS曲面线框图的显示效率与准确性，提出了一种用直线段填充多边形区域的新方法一"跨越法"。

The vibration of drilling string in horizontal well is closely related with the overall length of the drill string and structural shape. In this paper ,a mechanical model of longitudinal vibration of drill strings is established by studying the overall drilling string,seeing a hole as arbitrary bending curve in three-dimensional space.

本文以整体钻柱为研究对象，将井眼视为一条可以任意弯曲的三维空间曲线，建立了水平井钻柱纵向振动分析的力学模型。

Based on the decided configurations, the continuity condition of combined Bezier curve in Euclidean space and De Casteljau algorithm on Lie group SO(3) are integrated to construct a combined Bezier positioning path of C^2 continuity at junctional configuration, and an illustration of different positioning path planning is analyzed in detail based on a liver tumor case.

根据确定的位姿，把组合Bezier曲线的连续条件和SO(3)的De Casteljau算法结合，构造出了一条在衔接位姿C^2连续的组合Bezier曲线路径用於定位，并且根据一例肝脏肿瘤病例对各种连续路径作了详细分析。

Research results show that: 1 The FLSD is basically path independent whether is for steel or for aluminium; 2 Shape of the forming limit curve in stress space is sensitive to the type of material model used in transformation form FLD to FLSD; 3 the anisotropy of sheet metal has considerable influence on the FLSD; 4 The application of the FLSD in sheet metal processes optimization was considered to be effective and more precise.

钢板和铝板应该分别采用不同的材料模型进行转换。3）板料各向异性性能对板料成形极限有影响，在使用FLSD时应该考虑板料的各向异性情况；4）FLSD在应用于多道次成形零件的有限元分析时，由于其具有的与加载路径无关的特点，因此比通常用的FLD更加准确可靠。本课题的研究为以后在板料成形仿真中，使用应力成形极限曲线代替应变成形极限曲线，提供了理论和试验依据。

The method of prediction on stochastical simulating 3D parameter field of rock mechanics is brought forward in this paper. Namely, rock mechanics parameters- curve obtained by known and limited conventional log materials is took as inputs of hard data;and seismic attribute data body, hydrating of mud shale and rock environmental parameters data is took as constraint of soft data. By simulating stochastically through optimizing algorithm of Sequential Gauss Simulation,dynamical data field of rock mechanics parameter of three-dimensional space are gotten, then log response of rock mechanics parameters in position of any point in space is predicted.

提出三维岩石力学参数场随机模拟预测的方法，即以已知有限的常规测井资料计算出来的岩石力学参数曲线作为硬数据输入，以已知地震属性数据体及泥页岩水化和岩石环境参数数据作为软数据约束，选择序贯高斯模拟方法，随机模拟得到动态规律变化的岩石力学参数的三维空间数据场，然后由岩石力学参数的三维空间数据场预测空间任一位置的岩石力学参数在井上的测井响应，并把该反映动态规律变化的测井响应按照油田勘探开发的要求输出成特定格式，供生产和工程上使用。

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