应用函数

This dissertation applies 3-D finite element theory to development of the shape functions and stiffness matrixes of the triangular prism isoparameter elements (6 to 15 nodes). A calculating method for Gaussian integral in triangular prism is presented.

本文应用三维有限元理论，构造了一类五面体6～15节点单元的形函数，提出了在五面体单元内的Gauss积分处理方法，建立了相应的单元刚度矩阵，将其与六面体8～21节点单元结合，可用于计算焊接钢结构的应力场。

The composite controller composed of the linear part and the nonlinear part and PID con- troller ensure the closed-loop sysem to meet high-precision tracking need.

其中PID控制方法是研究较早，应用较广泛的方法，因此有利用PID控制与非线性函数相结合来设计抗饱和的非线性PID控制器lJ。

This thesis concerns convergence theorems and truncation error bounds for all kinds of continued fractions with applications to matrix function computation.

这扁论文讨论了各类连分式的收敛性与误差估计以及它在矩阵函数计算方面的一些应用。

The uniform approximation of normal wavelet neural network and the robust analysis of wavelet neural networks of the combination of Sigmoid function are detailedly introduction; Multiple model failure detection based on wavelet neural network is demonstrated detailedly; At last, the failure diagnosis results of aerocraft is present seperately by employing wavelet neural network and BP neural network, and the fault diagnosis of areocraft system by wavelet neural network is achieved.

论文以小波神经网络为研究对象，提出了一类新的加权小波基，分析证明了加权小波基的诸多良好特性；对于常见小波神经网络的一致逼近特性、S型函数组合小波神经网络的鲁棒性分析、多模型小波神经网络的故障检测等问题给出了详细的论证；最后，针对歼击机的常见故障问题，分别给出了应用小波神经网络和BP神经网络的故障诊断结果，实现了小波神经网络对飞机系统的故障诊断。

In this paper, a region approximation idea that means using a "fat curve" with a width to approximate the offset curve is proposed, and a complete set of algorithms to approximate offset curve using disk Bézier curve are given and implemented. In the algorithms, the optimal and uniform approximate curve of the offset curve as the central curve of the Disk Bézier curve is found by using Remez method, and then the upper optimal and uniform approximation principle is proposed to compute the error radius function of the Disk Bézier curve. Thus, the whole Disk Bézier curve can be obtained. In the end of this paper, the approximate effect of the Disk Bézier curve is not only analyzed and assessed, but also some specific examples are provided.

提出用一条带宽度的"胖曲线"来逼近上述等距曲线的区域逼近思想，并建立与实现了圆域Bézier曲线等距逼近的整套算法，包括应用Remez方法求出等距曲线的最佳一致逼近曲线作为圆域Bézier曲线的中心曲线，提出上控最佳一致逼近的原理求出圆域Bézier曲线的误差半径函数，以及确定整条圆域Bézier曲线，最后还对该圆域Bézier逼近的效果做了分析和考核，并给出了一些具体实例。

The matrix inhomogeneous eigenvalue problem is widely applied in mathematics and many other fields,for instance,the studies of the stability of solutions of linear differential equations and the stationary values of a second-degree polynomial on the unit sphere,and the constrained eigenvalue problem and so on.

矩阵非齐次特征值问题在数学和其他领域里有许多应用，如线性微分方程组解稳定性研究，球面上二次函数的稳定点求解及约束特征值问题等。

The main contents are as follows.1 For the state control problem in closed quantum systems, according to the distance between states, the error between states and the average value of an imaginary mechanical quantity, three Lyapunov functions are chosen, respectively. The corresponding control law designs and the convergence analyses are studied. Especially, for the Lyapunov function based on the distance between states, a class of control laws that can solve the problem that an initial state is orthogonal to a goal state is designed. The convergence of the system is analyzed via LaSalle\'s principle and one method to find the largest invariant set of the closed loop system is proposed by linearizing the unitary evolution operator at the corresponding instants.

在这一背景下，本论文在指出研究量子系统控制的必要性、回顾量子系统控制理论和方法的研究现状的基础上，从控制理论的角度研究Lyapunov理论和最优控制理论对于封闭量子系统的应用以及开放系统中的若干问题，主要内容包含以下几个方面。1针对封闭量子系统中的状态控制问题，根据状态间的距离、状态间的偏差、一个虚拟力学量的均值，分别选择三种Lyapunov函数进行相应的控制律设计和收敛性分析。

Application of our products involves a number of areas, main products are: all kinds of remote control IC (ASIC, a single remote control, the European-American version of a variety of universal remote controls, universal remote control air-conditioning, LCD Universal remote control, set-top box remote control learning remote control, etc.); appliance control IC (range hoods, electric cars, electric water heater, disinfecting cabinet, induction cooker, etc.); e-health products (massage chairs, a variety of physical therapy device, the high-potential therapeutic apparatus, etc.); other IC (camera remote control, 8 | 12 calculator, voice, calculator, solar calculator function, etc.).

我们产品应用涉及多个领域，主要产品有：各种遥控器IC（ASIC、单一遥控器、欧洲美洲版等各种万用遥控器、空调万用遥控器、LCD万用遥控器、机顶盒遥控器、学习型遥控器等）；家电控制IC（抽油烟机、电动车、电热水器、消毒柜、电磁炉等）；电子保健产品（按摩椅、各种理疗仪、高电位治疗仪等）；其它IC(照相机遥控控制、8|12位计算器、语音计算器、太阳能函数计算器等)等。

The computational power of the quantum neuron is explored. Numerical and graphical results show that this single quantum neuron can perform XOR function unrealizable with a classical neuron and has the same computational power as the two-layer NN, it can be used to realize nonlinear mapping.

应用量子计算方法分析了该量子神经元模型的量子逻辑运算功能，分析和实验证明单个量子神经元能实现经典神经元无法实现的XOR函数，并具有与两层前向神经网络相当的非线性映射能力。

With the improvements to the initial population and disposal of objective function, we choose DE as the searching method in EAFSC to investigate it performance in classic unrestraint optimization, Minimax Optimization and nonlinear equations.

其次结合对初始种群和目标函数的处理，以DE为例分别探讨EAFSC在典型的无约束优化、Minimax优化和约束优化问题、非线性方程及方程组求根中的应用。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。