前向正则模糊神经网络依K-积分模的泛逼近能力

针对前向正则模糊神经网络引进K-拟可加积分和K-积分模概念,应用积分转换定理研究了该网络在K-积分模意义下对模糊值简单函数类的泛逼近能力,进而在有限K-拟可加测度空间上,借助模糊值简单函数为桥梁获得了前向正则模糊神经网络依K-积分模对(u)-可积有界模糊值函数类仍具有泛逼近性.该结果表明前向正则模糊神经网络对连续模糊系统的逼近能力可以推广为对一般可积系统的逼近能力.     

Regular Solution and Lattice Miura Transformation of Bigraded Toda Hierarchy

The authors give finite dimensional exponential solutions of the bigraded Toda hierarchy （BTH）. As a specific example of exponential solutions of the BTH, the authors consider a regular solution for the （1, 2）-BTH with a 3 × 3-sized Lax matrix, and discuss some geometric structures of the solution from which the difference between the （1, 2）- BTH and the original Toda hierarchy is shown. After this, the authors construct another kind of Lax representation of （N, 1）-BTH which does not use the fractional operator of Lax operator. Then the authors introduce the lattice Miura transformation of （N, 1）-BTH which leads to equations depending on one field, and meanwhile some specific examples which contain the Volterra lattice equation （a useful ecological competition model） are given.     

求解二次Lagrangian有限元方程的代数两水平方法

基于矩阵图集的粗化算法,构造一种新的插值算子,提出了瀑布型代数两重网格法;然后结合部分几何信息,提出了求解二次Lagrangian有限元方程的代数两水平方法.数值实验表明该算法稳健性强、计算量更少.     

一类加权可靠指数分布

本文研究了一种含有形状参数和尺度参数的加权可靠性指数分布.利用变量替换以及极大似然法,研究了在特定尺度参数下此分布的构造性表示,并导出了计算该分布两个参数极大似然估计的迭代解,同时还给出了估计参数的渐近分布形式.     

一些次线性算子在非齐性弱Herz空间中的有界性

本文在具有仅满足增长性条件测度μ的非齐性空间上引入了弱H erz空间,并讨论了某些次线性算子在该空间上的有界性;特别的,我们得到了分数次积分算子的有界性.     

Quantum Hadamard Operators and Their Decomposition Derived by Virtue of IWOP Technique

We introduce the quantum Hadamard operator in continuum state vector space and find that it can be decomposed into a single-mode squeezing operator and a position-momentum mutual transform operator. The two-mode Hadamard operator in bipartite entangled state representation is also introduced, which involves the two-mode squeezing operator and [η〉 ←→｜ξ〉 mutual transformation operator, where [η〉 and ｜ξ〉 are mutual conjugate entangled states. All the discussions are proceeded by virtue of the IWOP technique.     

Hermitian Operators Conjugate to Two-Mode Number-Difference Operator Studied in Entangled State Representation

In similar to the derivation of phase angle operator conjugate to the number operator by Arroyo Carrasco- Moya Cessay we deduce the Hermitian phase operators that are conjugate to the two-mode number-difference operator and the three-mode number combination operator. It is shown that these operators are on the same footing in the entangled state representation as the one of Turski in the coherent state representation.     

Metric of States

Metric of quantum states plays an important role in quantum information theory. In this letter, we find the deep connection between quantum logic theory and quantum information theory. Using the method of quantum logic, we can get a famous inequality in quantum information theory, and we answer a question raised by S. Gudder.     

基于生物视觉center-surround机制的光团目标检测与跟踪

基于生物视觉的center-surround机制,提出一种用改进的LoG(Laplacian of Gaussian)算子检测光团目标的方法。首先明确了光团目标的成像模型,分析了LoG算子的性质及其响应,接着提出了归一化的LoG算子。理论上指出该算子可用于检测光团目标。仿真和实验证明：该算子可以用于检测图像中已知大小和未知大小的光团目标,并且实用性优于其他常规方法。结合Kalman滤波和粒子滤波,该算子还可以用于序列图像中单目标和刚体的跟踪。理论推导和实验结果表明,该方法是稳健和高效的。     

谱半径等于极大行和矩阵范数的矩阵的刻画北大核心CSCD

1 引言与符号 本文中恒用Ⅳ表示前面几个正整数的集合;用Mn（C）表示复数域C上所有n阶复矩阵的集合;用I表示适当阶的单位矩阵．