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A novel hybrid algorithm, which combines predictor-corrector primal-dual interior point method and genetic algorithm, is presented for dynamic and static reactive optimization in this dissertation. The algorithm fully make use of the advantage of interior point method in solving successive optimization problem and the advantage of genetic algorithm in solving discrete optimization problem. The original problem is divided into three parts: total successive problem, discrete problem and successive problem.

结合内点法和遗传算法,本文提出了一种新颖的混合算法用于求解动、静态无功优化问题,算法充分利用了内点法易于求解连续优化问题和遗传算法易于求解离散优化问题的优势,将原优化问题分解为初步的连续优化问题、离散变量优化问题、连续变量优化问题这三个子问题分别求解

Notice that the solvng ELP problem is equivalent to determine a nonlinear mapping,using the nature that BP neural networks has the parallelism and the capabilities of intrinsic nonlinear mapping,we propose a methods of using back error propagation of ne...

求解线性规划问题的许多有效方法如单纯形法,Karmarkar's方法等却无法直接用于推广的线性规划问题的求解,注意到推广的线性规划问题等价于一个非线性映射,利用BP神经网络的本质并行性和高度非线性处理能力,该文提出了一类求解推广的线性规划问题的BP神经网络方法,它具有网络构建简单,求解精度高,计算量小等优点,实验结果表明其高效性。

We point that the process of function-tree solving is the process of Function-Sets solving, and a function solving method based on extend functional matrix is proposed. Furthermore, aiming at the characters of innovational design, the lossless optimization method is given.

在功能树的求解方法方面,指出功能树的求解过程就是对功能函数的功能集族进行求解的过程,并提出了基于功能矩阵的求解方法,更进一步地针对创新性设计的特点,提出了无损优化的方法。

In specific applications expression : in compressed natural language describes various examples of the basic algorithm, using MATLAB as a programming language, a series of the combined limit, the bonus points will be combined, one graphics area and the length of the horizontal curve equations, and curve tangent process, the rotary body size and shape combined several process issues.

在具体应用中的体现:以简练的自然语言描述了各实例的基本算法,运用MATLAB作为编程语言,实现了数列极限的求解、定积分的求解、平面图形面积及平面曲线长度的求解、求曲线切线的过程、旋转体体积的求解及其形成过程等几个问题。

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。

The paper contains four parts. In the first chapter, the application back ground and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a modified smoothing Newton method is detailed; also the global convergence is established for the method.

全文共分为四章,各部分内容安排如下:第一章是绪论部分,介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果;第二章是预备知识,介绍了与求解互补问题有关的一些定义以及相关的定理和推论;第三章是本文的重点,提出了求解互补问题的一种修正的光滑Newton算法,从理论上对算法的全局收敛性了证明;第四章是这种修正的光滑Newton法用于求解广义非线性互补问题中,同样证明了算法的全局收敛性。

It is pos ible to solve some particular types of integral linear programming problems by virtue of LCS-orientated algorithm or microprocessor.

本文用字编码函数的方法,得到求解LCS的数值模型,证明可用求解Tomograph问题的算法和硬件求解LCS问题,以及可以用LCS的算法和硬件求解某种类型的整数规划问题。

In the case of transient fault, the difference is minute because the fault model is consistent with the prototype, but for the permanent fault, the difference is notable, the fault model does not coincide with the prototype. Moreover, the developed algorithm is simple and only uses one-terminal data.

瞬时性故障情况下,故障模型与求解模型一致,电感求解值与实际值差异很小;永久性故障情况下,故障模型与求解模型不一致,电感求解值与实际值差异明显。

The way on how to compute the optimal math's model is given and the survival condition of optimal root is discussed.

研究了一种特殊的订单生产——准时制下非核心企业的生产,分析了计划范围内的成本,并分别就各种成本给出求解公式,尤其在能力波动费用的求解上,引进了符号函数,解决了在任意单位时间段内能力累计的数学表达以及能力波动费用的数学求解,在以上基础上给出了最佳生产的数学模型,给出了求解方法,讨论了最优解的存在条件,最后,讨论了在APS中的应用前景。

The system is constructed by the five important modules including the realizations about the tolerant classes based on tolerant relation in uncompleted information system, self-determining the variable precision value of variable precision rough sets model, influence of variable precision value on rules and coverage and "Gray" region.

主要包括在不完备信息系统下的相容类求解、变精度粗集模型下的变精度值自主式求解以及该模型下的规则和覆盖求解、Gray区域求解等。

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