| 1. | The biorthogonal multi - scaling vector with higher approximation order was constructed using tst
利用双尺度相似变换构造了高逼近阶的双正交尺度向量。 |
| 2. | The computer simulation shows its advanteges of fast convergence and high approximation accuracy over the back propagation ( bp ) network and fuzzy neural networks
通过计算机模拟与bp网络和模糊神经网络进行了比较，发现收敛速度非常快，逼近误差很小。 |
| 3. | They can possess all properties simultaneously such as short support , orthogonality , symmetry and vanishing moments or higher approximation order which are superior to scalar wavelet
由矩阵细分方程的某些矩阵性质，多尺度函数和多小波函数可同时具有正交性、对称性、短支撑性和高逼近阶。 |
| 4. | Experimental results show that our local surface reconstruction and ray - tracing method is fast , with high approximation accuracy and high rendering quality , and is also adaptive to models with different sampling densities
实验结果表明，文中算法速度快、逼近程度好、绘制质量高，能够自适应不同采样密度的模型。 |
| 5. | The underlying reason is that in order to achieve high approximation level with the smallest possible memory , they need rather complex techniques to maintain a sketch , along time dimension , by using some existing off - line clustering algorithms
这种原因在于用尽量小的内存来获得近似的k中值点时，通常需要复杂的运算来维护一个压缩的“概要” sketch结构。 |
| 6. | The multiuser detection based on multiwavelet neural networks is proposed . the multiwavelet neural network is characterized by high approximation performance and rapid convergence , and so the multiuser detector based on a multiwavelet neural network possesses its advantages over existing neural network - based multiuser detectors
多子波神经网络具有逼近性能好、收敛速度快的特点，因此，多子波神经网络检测器与以前的神经网络检测器相比，也有其独特的性能。 |
| 7. | A new learning algorithm of the continue wavelet networks parameters is proposed , that is , hybrid parameters learning algorithm . the parameters of wavelet networks are divided into two parts , and different methods are used to training them . compare to the traditional parameters learning method , the new method proposed in this paper has the advantages of rapid convergence speed and high approximation capability
提出了连续小波网络的混和参数训练方法，将小波网络参数分为小波系数和网络权值两部分，对这两部分参数分别采用不同的方法进行训练，这一新的训练方法相对于传统的小波网络参数训练方法来说具有收敛速度快，逼近精度高等优点。 |
| 8. | Simulations results demonstrate the optimized model has a higher approximation to the objective system than does the previous one . next , fuzzy controller for the supply system is designed as follows : first , the structural decoupling is performed to formally decompose the 2 - input 3 - output controller as three 2 - input single - output ones , which greatly simplifies the design of the fuzzy controller . second , rudimentary control rules are identified and then improved by trial - and - error adjustment
进而，本论文又研究设计了供水系统的模糊控制器：首先采用结构解耦的方法，把两输入三输出模糊控制器形式化地分解为三个两输入单输入的模糊控制器，这样就大大简化了模糊控制器的设计，接着采用模糊辨识方法得到初步的模糊控制规则，并通过进一步的调试使控制规则得以完善。 |
| 9. | The tst was applied to multi - scaling vector to increase it ' s approximation order , and with pr condition , the dual of transformed multi - scaling vector was obtained . then the special tst was taken for this dual , the dual of original multi - scaling vector with higher approximation order obtained , finally the multi - wavelet function with higher vanishing moment maybe constructed
我们先对已知的尺度向量进行双尺度相似变换，以提高其逼近阶，再求出变换后的尺度向量的对偶，对这个对偶再进行特定的双尺度相似变换，就可得到原尺度向量的有高逼近阶的对偶，从而可能得到具有高阶消失矩的多小波函数。 |
