查询词典 curve in space

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。

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。

Firstly, we make numerical modeling analysis with finite element method and eliminate the effect of tunnelcavity, translate the apparent resistivity curve of advanced detection in tunnel into the curve in full space.

首先利用有限元数值模拟技术分析并消除坑道空腔对视电阻率的影响，并将坑道超前探测视电阻率曲线转化为全空间视电阻率曲线。

As for the feature of the object function in (P2), the decision variable searched in traditional Euclidean space raise up with some difficulty computations and optimization methods are promote to running in curve Riemannian space to get optimal solution.

由于盲分离最优化问题的目标函数的特点，在欧氏空间中对决策变量进行寻优求解带来诸多复杂因素，寻优算法在弯曲的黎曼空间中动态运行是解决这些问题的一条可行途径。

The motion of a discrete curve in Minkowski space is first introduced. Then by identifying the spin vector of HF models with the unit vectors of discrete curve, respectively, we obtain the corresponding DNLS.

我们将主要考虑闵可夫斯基空间中离散曲线的运动情况，并利用离散曲线的单位矢量分别替代离散的MHF方程中的自旋矢量，给出相应的离散非线性薛定谔方程，从而建立了两者之间的几何等价性。

In this paper,We define the notions of lightcone Gauss map ,lightcone pedal curve and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .

在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射，光锥垂足曲线，光锥高度函数的概念，建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系，并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。

In this paper,We define the notions of lightcone Gauss maps ,Hghtcone pedal curves and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .

在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射，光锥垂足曲线，光锥高度函数的概念，建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系，并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。

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。

Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线，是以为边界的分片光滑的有向曲面，的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向，则弯曲四指表示曲线的方向)，函数，，在曲面上具有一阶连续偏导数，则有下述公式成立

In space optimization, the principle of equal-tiny increment is applied first.This classical method is used while the curve of the equal-tiny increment is raised.But in practice the curve of the equal-tiny increment is not always raised because of many uncertain factors.

在空间最优化问题的求解方法上，等微增率法提出较早，但用等微增率法要求微增率曲线是凸的，而实践中导致微增率曲线非凸的因素很多。

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