简化

Based on the theory of robotics, manipulator's kinematics equation is established and inverse kinematics analysis and calculation is made by algebraic solution after simplification, besides, Cartesian-space schemes, working space and singularities are also taken into account.

在机器人学的理论基础上，使用D-H方法建立了机械手的运动学方程；通过问题简化，利用代数解法，进行了逆运动学分析和计算，并对机械手进行了笛卡尔坐标轨迹规划，为后续控制系统的设计及机构运动仿真提供了依据；分析了机械手的工作空间、奇异性；介绍了建立机器人动力学方程的常用方法。

Firstly, we present the model of flexible satellite in the form of inverse transfer function matrix.

首先建立了挠性卫星姿态运动的简化模型，模型采用逆传递函数矩阵的形式，并且考虑了不确定项。

Further, in order to reconstruct flow real-time image, inverse problem is transferred to a linear system of equations by simplification based on reasonable suppose, which solves the technical problem of data processing and flow image reconstruction.

再之，根据图像重建实时性要求，通过简化反问题并将之转化为离散化线性问题，解决了测量数据处理和流动图像重建的方法技术问题。

The results of numerically inverse Laplace transform are used to analyze the influences of boundary condition of tunnel and transversely isotropic property of soil on the stress,displacement and pore pressure.

由于隧道横断面尺寸远小于其纵向长度，因此，可以简化为平面应变问题进行求解。如果隧道埋深大于其半径的10倍时，这种类型的隧道可以假设为深埋隧道[1]。

And based on the perspective mapping, we have got the arithmetic of inverse perspective mapping, which realizes getting the depth of the object through the single camera.

根据摄像机透视映射原理，进行逆换算从而得到逆透视映射，从而实现了利用单摄像机获取环境深度信息，简化了系统的结构，有效的实现了自主避碰导航。

To simplify the control design problem,the desired inverse system,which can conver...

提出期望逆系统的概念，将三维空间姿态跟踪问题转化为调节问题，简化了控制器的设计。

For the theorem 4 on DEA efficiency (C~2R) in reference ,this paper gives its inverse theorem under a condition in order to be easy to discriminate DEA efficiency (C~2R).

对文[1]中有关DEA有效(C2R)的定理4，本文给出了在某种条件下的逆定理，以便简化DEA有效性(C2R)的判断。

Presents the design of longitudinal control for ASTOVL lift-fan aircraft, a multi-variable, strong-coupling, complicated nonlinear system to make the system nonlinear offset and decouple, and the method used for linear system in designing the system to gain expectant flying qualities and the combination of aerodynamic control surfaces with thrust vectors to delay the control surfaces getting into saturation, and the minimum N-norm generalized inverse theorem of weighted generalized inverse adopted to apportion the moments commands, which make the control surfaces gain appropriate deflection and the simulation results to verify the dynamic inverse control laws designed really make the system nonlinear offset and decouple; when one command is given, only this output will response, and others do not response; when all commands are given together, the responses will be just the linear superpose of the response of each command, therefore the operation of the pilot will be simplified greatly.

摘 要： ASTOVL升力风扇飞机是多变量、强耦合、复杂的非线性系统，采用非线性动态逆理论设计控制律以实现系统的非线性对消及解耦，然后，采用线性系统的设计方法对系统进行设计，以使系统获得期望的飞行品质。同时，考虑到ASTOVL升力风扇飞机是由气动舵面和推力矢量融合作用的，为了延缓各舵面进入饱和的时间，采用加权广义逆中的极小N-范数广义逆定理分配力矩指令，从而使各舵面达到适当的偏转角。并将所设计的控制律进行了仿真，结果验证了所设计的动态逆控制律使系统实现了非线性对消和解耦，单个指令作用时，只有该项响应，其余不受影响；所有指令作用时，其结果就等于单个指令作用时的线性叠加，这样使驾驶员的操纵大大简化而易于控制，从而大大降低了飞行事故率。

Linear algebra of matrix inversion, the use of this algorithm can...

线性代数中的矩阵求逆的问题，使用此算法可以简化矩阵的操作。

This method which avoids formation of ion-pair compounds in RP-HPLC and derivatization procedure in the detection, is quick, high sensitive and reproducible.

方法避免了传统反相高效液相色谱分析方法中离子对化合物的形成，简化了检测过程中衍生化的步骤，测定速度快、灵敏度高且重现性好。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。