首先，利用坐标变换将机器人在三维空间中的运动映射到二维平面上；
The coordinate transformation is used to translate the motion of 3D environment into a plane.
将二电子原子在三维空间中的运动转化为单电子原子在六维空间中受广义库仑力作用的运动。
The equation of motion of two-electron atom in 3-D space is transformed into that of one-electron atom in 6-D space, subjected to generalized Coulombic potential.
相对板块运动不能表明板块各自的运动速度，绝对板块运动才能表明板块在不动的地球空间中的运动速度。
Relative plate motion can not demonstrate the motion velocity of individual plate, while absolute plate motion can show the motion velocity in the stationary geospace.
运动捕捉是指通过传感设备记录人体在三维空间中的运动轨迹，并将其转化为抽象运动数据，然后根据这些数据驱动虚拟人运动。
Motion Capture is to record the motion track in three dimensions by sensor devices, to transform it to motion data, and then to drive the virtual human to move based on these data.
我下面给大家，粒子的运动方程，即在三维空间中物体的运动，非常复杂的运动，很难想象它是如何的。
I want to write down for you equations for a moving particle a moving object in three-dimensional space very complicated motion which I can hardly imagine what it's like.
比如说，扩散方程描述了空间中的烟雾的移动，或这是染料在溶液中的运动。
So, for example, that governs the motion of,say, smoke in the air, or if you put dye in the solution or things like that.
苹果沿着这空间中形成的曲线而运动。
从而求得机器人关节空间中各关节的运动轨迹。
Then get robotic joint every sport orbit of joint of the space.
这是因为传统上人们认为时间就如同一个巨大的节拍器，在宇宙空间中持续着同一种节奏，而且只沿着一个方向运动。
That's because the old idea about time was that it was like a cosmic metronome keeping a regular and constant beat throughout the universe.
文中提出一种在虚拟听觉空间中加入多普勒效应以提高模拟运动物体效果的方法。
This paper presents a novel approach to improve the fidelity of simulating the moving objects in virtual auditory space by adding Doppler effects.
本文还将并联机构的每一正解定义为一个构型，机构只能在一构型空间中运动。
In this dissertation every forward solution was defined as an assembly configuration, and the parallel manipulator could move only in one configuration space.
针对双机器人系统松协调状态下的运动，研究了其在公共空间中的碰撞检测问题。
Aiming at the motion of a two-robot system under loose coordination, collision detection in common space was studied.
AGV只有准确的知道自身的位置、工作空间中障碍物的位置，才能安全有效的进行自主运动。
AGV can effectively carry on the independent movement until accurately knew its own position and the position of obstacle in the working space.
基于在位形空间中受约束系统的几何性质，对机器人系统的运动及所受的约束力进行研究。
Based on the geometrical properties of the constrained system in configuration space, the motion and the constraining forces of robot system are studied.
该算法在低维空间中求解反向运动学问题，并在风格子空间中响应用户输入的风格参数。
To solve this problem, a new low-dimensional motion model that can parameterize motion style precisely is presented in this paper.
本文给出仿射联络空间中仿射运动群的基本定理的一种证明；
This paper gives a proof about the fundamental theorem(and the inverse theorem)on the affine groups of motions in the affinely connected spaces.
但是，当我们从物理的角度审视这一问题时，就会发现可以把这个曲面嵌入一个三维空间中，粒子的运动可以在笛卡儿坐标下分解为三个互相正交的方向。
However, when examining the same problem in the physical point of view, the motion of the particle can also be described in the three-dimensional coordinates.
他们对空间也有更好的理解。例如，不同材料效果对空间品质的作用，或者空间中运动方式的引导。
They also have a better understanding of space, e. g. the effect of different materials on spatial quality or the guidance of movement through spatial means.
基于物理的弹塑体形变模拟采用真实世界中的物理学定理可以完美重现虚拟物体在虚拟的空间中真实的运动过程及逼真的形变。
Physics-based simulation of elastic-plastic deformation using physics theorem in the real world can perfectly reproduce the real movement and realistic deformation of virtual objects in virtual space.
提出机器人运动规划中的一种姿态空间建模方法，其基本思想是在工作空间中定义具有某种特征的点为基本碰撞体，可用于机械臂在复杂环境中的运动规划建模。
This paper presents an approach into building the gesture space for robot motion planning so as to the application for the motion planning of the mechanic arms in the complicated situation.
丰富而复杂的奇异位形是并联机构的一个重要特点，位形空间中的奇异位形对并联机构的精度、刚度以及运动性能有着重要的影响。
There are abundant and complicated singularities in parallel mechanisms, which have great effects on the accuracy, stiffness and motion ability of parallel mechanisms.
为了实现虚拟空间中人体动画的逼真运动，基于解剖学建立了虚拟人体三维骨骼模型。
In order to achieve realistic human motion in virtual environment, a 3D skeleton model of virtual human is built.
因其结构的特点可以在工作空间中任意运动，能够很好的完成柔性制造、装配、物流自动化等作业。
Because of its structure it can motion freely in its workspace to complete tasks such as flexible manufacture, assembly, automation operations.
DPD是非格子模型介观模拟技术，囊括粒子群在连续的空间和间断的时间中运动。
DPD is an off-lattice mesoscopic simulation technique which involves a set of particles moving in continuous space and discrete time.
DPD是非格子模型介观模拟技术，囊括粒子群在连续的空间和间断的时间中运动。
DPD is an off-lattice mesoscopic simulation technique which involves a set of particles moving in continuous space and discrete time.
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