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Based on X-filtered LMS algorithm and -filtered LMS algorithm adaptive inverse control, we use a new variable step size LMS algorithm. Adding little computation, variable step size LMS algorithm can result in fast convergence speed and low residual error simultaneously. The adaptive feedback control can counteract the beginning error of the system. The adaptive disturbance canceler can best erase noises and disturbances.

在原来的X-滤波LMS算法自适应逆控制和-滤波LMS算法自适应逆控制方法的基础上,引入了新的变步长LMS算法,在计算量增加不多的前提下,能同时获得较快的收敛速度和较小的稳态误差;引入自适应的反馈补偿控制克服了被控系统的直流零频漂移,使控制系统在初开始工作阶段快速收敛;还引入自适应扰动消除器,它能最大限度的消除扰动。

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法,在讨论了矩阵的QR分解方法的基础上,推导得出了矩阵QR分解与广义逆矩阵的关系,得出了可以直接利用QR分解求解矩阵的最小二乘逆,并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式,最后通过重力异常实例进行了计算,得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

Establish integrated invertibility theory over it: By R〓R〓 transformation method, we solve the problem of deciding weakly invertibility and finding weak inverse, By founding the bijections between all quadratic form automata and input memory linear finite automata, we find a algorithm to produce all weak inverse quadratic form finite automata.

本文着眼于这些最基本问题,将有限域上的二次型和置换多项式理论引入有限自动机可逆性的研究,构造了一类由二次型构成的非线性有限自动机(3.6定义),称之为二次型有限自动机,我们在其上面建立了与线性有限自动机可逆性理论相对应的完整的可逆性理论:采用线性R〓R〓变换方法,解决了此类有限自动机的弱可逆性判定、求弱逆问题(3.10、3.12定理)、通过建立全体二次型有限自动机与全体输入存储线性有限自动机之间的保持弱逆性的一一对应,给出了产生全部可逆二次型有限自动机的方法。

Firstly, by adopting the thought of Adomian's decomposition method, the generic dynamic model in mechanical systems are transformed into a standard first-orderdifferential-equations, and then the inverse operator method for the approximate analytic solution of nonlinear mechanical system is developed based on the exact solution in form.

主要研 究工作如下:利用Adomian的分解方法的思想,把机械系统中最一般的动力学模型转化为一阶标准型微分方程组,以形式上的精确解的表达式为基础构造了求解机械系统非线性模型近似解析解的逆算符方法;针对机械系统非线性模型的特点,提出了直接处理高阶方程的不降阶逆算符方法;证明了该方法的收敛性。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先,作者针对机器人的设计要求提出了多个方案,对其进行分析比较后,选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计;其次,进行了运动学分析,用D-H方法建立了坐标变换矩阵,推算了运动方程的正、逆解,运用VC++制作了正、逆运动学求解的求解界面;并且用微分变换法推导了速度雅可比矩阵;在基于机器人的运动学的轨迹规划中,通过在操作空间的规划,提出了归一化因子来求解中间结点,通过它可以使求解中间结点变得更简单,并且赋予这些中间结点实际的物理含义,对于规划中精确性和实时性的矛盾,提出了以误差极限法和反向插值法来解决的方法;为了减少规划过程中计算量,在关节空间进行三次样条插值;然后借助图解法进行工作空间分析,作出了实际工作空间的轴剖图。

Those problems include inverse position analysis of the machine, inverse and direct position analysis of the parallel locking mechanism, relationships of velocity and acceleration between cutter and actuators, Jacobian matrix of the machine, forward position computation of the machine, the links'velocity and acceleration of the driving chains, the links'velocity and acceleration of the locking mechanism, kinematics simulation of the machine, and so on. The Jacobian method presented in the thesis to calculate the direct position of the machine is of high efficient.

其中包括机床的位置逆解分析,平行机构的位置逆解分析,机床刀具与各主动关节之间的速度和加速度映射关系的求解,并联机床雅可比矩阵的计算,并联机床的位置正解计算,支链构件的速度和加速度计算,平行机构各构件的速度和加速度计算以及机床各运动学指标的仿真计算等。

The structured properties of tridiagonal inverse M-matrices are then studied in detail by using graph theory and combinatorial mathematics, and a sufficient condition for a nonnegative tridiagonal matrix to be an inverse M-inatrix is given.

第一部分分析证明了逆M-矩阵的结构特点和在Hadamard积下的封闭性;第二部分分析几类特殊矩阵的结构特点,以及它们逆矩阵的构造方法;第三部分研究对称不定矩阵秩一校正的Bunch-Kaufman分解和相应的算法。

Based on core measurements from IODP expedition 316 of the first stage of the NanTroSEIZE program, we analyze deformational and sedimentary structures at the core scale at four sites, C0004, C0006, C0007 and C0008, at the toe the accretionary prism along the Nankai Trough. We also discuss the relationships between structures at the core scale and large scale structures like splay fault and frontal thrust fault.

通过参加IODP的日本南海海槽发震带研究项目第一阶段316航次所收集到的大量第一手数据和资料,分别在4个站位上(C0004,C0006,C0007,C0008)对日本南海海槽增生楔前缘岩芯尺度上的构造变形进行了详细分析,并且讨论了岩芯尺度上的构造变形与增生楔中大尺度的非序列分支逆冲断层和前缘逆冲断层的构造变形之间的关系。

The deep knowledge repository of temperature profile was yielded based on the determinant mathematical model, which increased the 'extrapolative ability' and 'reliability'. Simulation results have proved that the model presented in this paper is simple, and can satisfy the control requirements.In order to predict and control, A real-time prognosticate model of temperature profile for a reverse flow reactor was built based on dynamic RBFNN with online correcting model parameters.

5基于改进的RBFNN的非线性内模控制策略充分利用神经网络的自学习及非线性逼近能力,建立流向变换反应器的动态模型和逆模型,非线性内模控制器由逆模型和带有一个调节参数的鲁棒滤波器组成,并采用递推最小二乘在线校正模型参数,仿真结果验证了此控制方案的有效性。

Combining the result from source inversions, we propose that the oblique-slipping Baishuihe-Gaochuan rupture and the dip-slipping Bailu-Hanwang rupture were produced in the same time during the largest sub-event with a slip partitioning, and the mechanism of slip partitioning made the two faults ruptured with an oblique slip and a dip slip, but not all the same oblique slip.

结合震源过程反演成果的分析显示,斜滑的白水河—高川破裂段和逆冲型白鹿—汉旺破裂段可能是在汶川地震中最大的一次子事件过程以滑移分解的形式而同时破裂形成的,滑移分解作用使两条断裂以斜滑与逆冲组合的力学性质产生破裂而非相同性质的斜滑破裂。

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