连续逼近

Based on the modal superposition method and the exact solution of beam nature vibration, the motion equations of the simply supported and continuo...

基于模态叠加法和梁固有振动的精确解，建立了移动荷载作用下简支梁和连续梁的运动方程；利用样条最小二乘法逼近桥梁应变响应，由样条数值微分求得响应导数；再通过Tikhonov正则化方法结合奇异值分解技术得到了荷载识别的正则解。

Fuzzy neural networks ; approximation capability ; continuous function ; density ; monolithic fuzzy neural networks

模糊神经网络；逼近能力；连续函数；稠密；单体模糊神经网络

Bridge ; moving load ; identification ; parametric analysis ; simply supported girder ; multi-span continuous girder ; spline approximation method

桥梁；移动荷载；识别；参数分析；简支梁；连续梁；样条函数逼近法

We study the relations among MS, QMDS, RBVS, AMDS, GBVS and NBVS. Finally. we improve some classic results in Fourier analysis such as uniform convergence, L~1 convergence, L~p-integrability, strong approximation of continuous functions et al., by applying this new condition.

我们研究了MS，QMDS，RBVS，AMDS，GBVS和NBVS等不同数列之间的关系，在此基础上，我们给出了NBV条件在研究三角级数的一致收敛性、L~1收敛性、L~p可积性、连续函数的强逼近等Fourier分析经典问题上的应用，对一些经典的结论作了推广。

It is also pointed out that the fuzzy controller implemented through this way can approximate any continuous real function.

摘要基于对模糊集基本特性的分析，提出了一种模糊集合的距离度量方法，与传统方法不同的是它不但与模糊集的质心有关，而且与模糊集的基数有关；其次讨论了如何基于这种距离的定义来实现模糊控制，并指出基于这种方法实现的模糊控制器可以逼近任意连续函数。

It is proved that any continuous time-invariant operator with fading memory can be approximated by a Volterra series.

任何具有衰减记忆的连续时不变非线性算子，都可以由Volterra级数任意逼近。

The concept of controlled λ-exponentially contractive set for the systems is introduced,and relation between the set and that for its Euler approximation discrete-time system is also established.

首先，引入连续时间系统的受控λ-收缩集概念，并建立了与其Euler逼近的离散系统的受控收缩集之间的关系。

Properties of measurable functions; approximation by simple functions and by continuous functions; convergence in measure; Egoroff's theorem; Lusin's theorem; Jensen's inequality.

可测函数。可测函数的性质；简单和连续函数逼近；测度收敛；叶果洛夫定理；鲁津定理；詹森不等式

A method of building the fuzzy model with constant-value consequence for MIMO complex processes is presented by means of the iterative learning algorithm of fuzzy model consequent parameters, and the convergence of the iterative learning algorithm is proved according to the convergent theorem of bounded positive-term series, moreover, the effectiveness of the presented fuzzy modeling method is also demonstrated by a simulation example.

深入讨论了常值后件模糊规则模型与映射的关系，并证明这种模糊模型所表示的模糊系统具有在紧集上逼近任意实值连续函数到任意精度的能力，为将这种模糊模型用于复杂过程的建模和控制作了一些理论准备。

A human model using polynomial convolution surface is presented which is modeled by articulated skeletons convolved with some kernel function. The convolution surface and curve correspondence theorem under orthogonal projection is presented. The human contour is approximated with a convolution curve and 3D human pose can be estimated using a nonlinear optimization algorithm.

首先建立了一种新颖的多项式密度卷积曲面人体模型，该模型由连接体线骨架与某种卷积核卷积而成，整个曲面是一张连续曲面，调节多项式和半径参数可以让人体任意变形；给出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间建立对应关系；根据正交投影下卷积曲面与曲线对应定理，用卷积曲线去逼近人体的图像轮廓曲线，从而估计和恢复出三维人体运动姿态。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。