查询词典 differentiable function

It has been deduced that the search direction remains the same but that the step length decreases in optimizing the improved cost function with the conjugate gradient algorithm from the gradient of the cost function that the FIR filter apporaches the contrary point spread function more, and that the estimated image is closer to the original one.

从代价函数的梯度入手推导出共轭梯度算法，其搜索方向保持不变而搜索步长变小，使滤波系数更加逼近于点扩展函数逆算子，从而使估计图像与原始图像更加接近。

It was shown that when the production function was constant return to scale, the model became a A-K model; when the production function was increasing return to scale, the equilibrium point was unstable; when the production function was decreasing return to scale, the equilibrium point was a saddle.

结果发现：生产函数为规模收益不变时，模型简化为A-K模型；生产函数为规模收益递增时，均衡点为不稳定结点；生产函数为规模收益递减时，均衡点为鞍点稳定。关键词：数理经济学；经济增长；政府支出；生产效应

In order to verify the method, the comparison among the Tabary slope method, the Bayes function method, the Yamada continuity method and the background error covariance function method is presented. The results show that the background error covariance function method is the best one.

为检验此法效果，利用1999年5月3日到4日奥克拉荷马强龙卷的雷达资料，给出风廓线仪的实测结果对比分析，Tabary的切线拟合方法和条件概率方法，Yamada的连续性检测方法的对比试验及退模糊后的径向速度图。

This paper discusses the continuity of elementary function and some special non-elementary function and how to decide the interval point by the conception of function' continuity.

本文利用函数的连续性定义，详细讨论了初等函数的连续性，以及几个特殊非初等函数的连续性和间断点的类型判断，展示了一些复杂的非初等函数连续性的讨论方法，这不仅说明了分段函数的多样性，而且对于研究函数的丰富性具有重要的指导意义。

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论，系统地分析环境振动识别方法的主要方法，讨论它们的优点和不足；建立结(来源：6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型，分析有限元模型与试验模型之间的相互关系；改进谐波识别中的MUSIC识别方法和相关函数识别方法，给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法，这个方法是多元谐波识别方法；提出直接识别结构的物理参数和模态参数的最小二乘方法，这个方法利用导数的近似值代替导数值，并运用最小二乘方法识别结构的物理参数，讨论导数近似值的选择方法，分析算法的收敛性；通过仿真计算和模型实验，研究高层框架结构的模态参数识别，验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性，算法的稳定性；从理论和试验两个方面分析和研究噪声对识别精度的影响，影响识别精度的因素，以及部分模态成分的模态参数不能够被识别的原因。

As for continuous random variable, the connection of distribution function between random variable and its function -- a new random variable can be obtained first according to the definition of distribution function, then the connection between distribution densities can be obtained by derivation; thus the distribution density is solved.

对于连续型随机变量ξ来说，可由分布函数的定义先求出随机变量ξ和它的函数η=f这个新的随机变量的分布函数之间的联系，然后通过求导，得到密度函数之间的联系，从而求得η的分布密度。

The relationship between the topology and convegence of networks is approached and the reason causing overtraining and overfitting is analysed. Then the redundant weights and nodes in the network are defined by using improved activity function and a new algorithm called the BPNSO for determining the network structure for any application is proposed, which use dual optimization objective function combining the mean squre error of the network output with network complexity penalty function.

文章对网络拓扑结构与网络收敛性和稳定性的关系进行了探讨，分析了网络出现Overtraining或Overfitting的原因和解决的目标，提出了神经网络结构优化的策略，改进了活化函数，定义了冗余权值和冗余节点的概念，为辨识和删除冗余权值和冗余节点，提出采用优化目标函数中增加网络复杂度罚函数的双重优化目标函数，并对罚因子提出了基于学习误差和权值的自适应动态调整公式，论文定义了这种BP网络结构优化方法为BPNSO，并给出了完整的计算流程。

The heuristic method emploies a genetic algorithm in reducing the redundant attributes of all attributes. Besides taking fitness function as its heuristic function for its selection operation, the genetic algorithm uses the attribute\'s information entropy to construct the heuristic function for its mutate operation, and in this way it markedly elevate the convergence speed of attribute reduction.

启发式方法采用遗传算法进行属性约简，除了存在于选择操作的适应度启发函数外，还在变异操作中以信息熵为基础构造了启发函数；穷举方法基于循环队列自底向上约简，通过剪枝有效地提高了属性约简集的穷举速度。

This paper analyzes respectively the method of filled function with one parameter and the method of filled function that is a global convex function.

第一章给出了学习研究全局优化的一些基础知识以及到目前为止填充函数方法的研究情况。

In chapter 5,a knowledge-based correction term for the objective function of parameter estimation is proposed.The relationship between the function extreme points of state estimatin and parameter estimation is deduced.A strategy of projecting the parameter objective function from the augmented solution space to the parameter space is proposed and proved.

第五章分析了电力系统状态估计和参数估计的理论依据并指出传统解法的不足，提出基于经验知识的参数估计目标函数修正项，推导了状态估计和参数估计目标函数极值点的关系，由此提出并证明了新的基于垂直投影的估计策略。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。