查询词典 curve in space

The design and calculation of the space meshed curve is the most basic one in that of micro elastic mesh wheel transmission.

在微小弹性啮合轮传动机构的设计计算中，空间啮合曲线的设计计算是最基本的设计计算。

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。

Based on the research results of modeling test and numerical analysis of surrounding rock deformation behavior of the full-face excavation tunnel in karst regions,the regular time-space curve model of surrounding rock deformation was proposed.

重庆交通学院河海工程系重庆400074，重庆交通学院河海工程系重庆400074摘要：运用相似模型试验和数值分析成果，分析岩溶区公路隧道在全断面开挖过程中的围岩变形特性。

The content included (1) characterizing macropres shapes;(2) obtaining the index to charaterizing soil macropore quantificationally through digitalizing and analysising the photo of soil section;(3) comparing the shapes of macropores among soils, which reasons were discussed;(4) studying the influence of the zonal diversity, soil depth and land utilization on macropore characeristics;(5) estimating the space variability of macropore in the microscale using spore variability index;(6) analysising the connectivity and sinuosity of macropore using preferential flow breakthrough curve;(7) discussing the feasibility of indicating the preferential flow degree using macroporosity and macropore perimeter.

系统划分了大孔隙类型；描述了大孔隙形态；通过对土壤切片图像数字化处理和分析，获得了描述大孔隙特征的两个基本指标：大孔隙度和周长，并对大孔隙进行了定量化地描述；比较了各土类之间大孔隙的形态差异，从土壤发生学的角度对其原因进行了分析；研究了地带性差异、土壤层次和土地利用方式对大孔隙特征的影响；阐明了小尺度范围大孔隙的空间分布特征；结合Br〓标记优先水流穿透曲线分析了大孔隙的连通性和弯曲性，探讨大孔隙形态指标评价大孔隙优先水流作用强弱的可行性。

Design in order to smooth the curve, to strengthen the band of space and expansion of a sense of depth.

设计中以流畅的几何形，来强化带状空间的纵深和扩展感。

However, one side effect of this approach is that the trace of an object in the time-distance space is a curve.

不过， 一个副作用的方式，即追踪一个物体在时间空间的距离是一条曲线。

By exploring we know that many problems in the plane can not be solved, but can be resolved by the use of space curve.

通过探讨我们知道很多平面曲线的问题在平面上无法解决，但利用空间曲线可以解决。

Experimental results of typical complicated space curve seams indicate that the algorithm considers optimization for both torch orientation and robot kinematics, it is relatively high in efficiency and quality, and is robust.

典型的空间复杂曲线焊缝的实验验证结果表明：算法综合考虑了焊枪姿态和机器人运动学的优化，具有较高的规划效率和规划质量，具有较强的适应能力。

The large curvature of the Earth appearing in the visor reflection is not the true curvature of our spherical Earth, but rather an artifact of the curve of the space helmet.

头盔反射看到的巨大的地球弯曲度并不是我们球形地球真正的弯曲度，而恰恰反映的是太空中头盔弯曲度。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

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