多层前向正则模糊神经网络的逼近能力

Abstract. Four-layer feedforward regular fuzzy neural networks are constructed. Universal ap-proximations to some continuous fuzzy functions defined on (R)“ by the four-layer fuzzyneural networks are shown. At first,multivariate Bernstein polynomials associated with fuzzyvalued functions are empolyed to approximate continuous fuzzy valued functions defined on eachcompact set of R“. Secondly,by introducing cut-preserving fuzzy mapping,the equivalent condi-tions for continuous fuzzy functions that can be arbitrarily closely approximated by regular fuzzyneural networks are shown. Finally a few of sufficient and necessary conditions for characteriz-ing approximation capabilities of regular fuzzy neural networks are obtained. And some concretefuzzy functions demonstrate our conclusions.     

AlB2的状态方程

在用ＬＭＴＯ方法计算ＡｌＢ_２的电子结构及其高压下变化的基础上,计算了Ｈ（ｘ）函数．计算表明ｌｎＨ（ｘ）与１－ｘ有很好的线性关系,说明有混合键型的化合物ＡｌＢ_２符合Ｖｉｎｅｔ等人提出的固体普适状态方程（ＵＥＯＳ）,并对等温压强与体积关系进行了计算．     

三角Hopf代数表示范畴上的Lie余代数

本文在三角Ｈｏｐｆ代数表示范畴上系统地研究了Ｌｉｅ余代数,在此范畴上 的Ｌｉｅ余代数与Ｈｏｐｆ代数之间建立了重要的联系．主要给出了Ｌｉｅ余代数的余包络 余代数的结构．所得结果自然是关于Ｌｉｅ代数的对偶结果,推广了 Ｓｗｅｅｄｌｅｒ Ｍ． Ｅ．, Ｇｕｒｅｖｉｃｈ Ｄ．Ｉ．, Ｍｉｃｈａｅｌｉｓ Ｗ．和 Ｍａｉｉｄ Ｓ．等人的结果．     

单广义位移的深梁理论和中厚板理论

经典的梁板弯曲理论由于未考虑横向剪切变形的影响而只能适用于细长梁和薄板,传统的多广义位移的深梁理论和中厚板理论由于忽视了转角与挠度之间的内在关系而只能适用于短粗梁和中厚板。这两种理论存在着转角的独立性与不独立性之间的矛盾,因而不相兼容。鉴于此从基本假设出发,既考虑了横向剪切影响,又确定了转角与挠度的关系,导出了单广义位移的深梁理论和中厚板理论,给出了几种简单梁的解析解,并用数值算例验证了这一理论的适用性。     

A finitely axiomatizable undecidable equational theory with recursively solvable word problems

In this paper we construct a finitely based variety, whose equational theory is undecidable, yet whose word problems are recursively solvable, which solves a problem stated by G. McNulty (1992). The construction produces a discriminator variety with the aforementioned properties starting from a class of structures in some multisorted language (which may include relations), axiomatized by a finite set of universal sentences in the given multisorted signature. This result also presents a common generalization of the earlier results obtained by B. Wells (1982) and A. Mekler, E. Nelson, and S. Shelah (1993).

     

Representations of the Quantum Algebra Uq(un, 1)

The main aim of the paper is to study infinite-dimensional representations of the real form U _q (u _{n, 1}) of the quantized universal enveloping algebra U _q (gl _{n + 1}). We investigate the principal series of representations of U _q (u _{n, 1}) and calculate the intertwining operators for pairs of these representations. Some of the principal series representations are reducible. The structure of these representations is determined. Then we classify irreducible representations of U _q (u _{n, 1}) obtained from irreducible and reducible principal series representations. All *-representations in this set of irreducible representations are separated. Unlike the classical case, the algebra U _q (u _{n, 1}) has finite-dimensional irreducible *-representations.     

HIRFL-CSR前端总线控制器的改进设计

论述了用于兰州重离子加速器冷却存储环(HIRFL CSR)控制系统的前端总线系统控制器的改进。 改进了控制器的嵌入式操作系统和应用程序, 开发了控制器和数据库交换数据的应用程序。 该控制器基于BGA封装的ARM920T(ARM9)处理器和嵌入式的LINUX操作系统, 可以连接标准的VGA显示器、 键盘、 鼠标, 采用了现场可编程的FPGA器件进行背板接口设计, 并具有64 mA高驱动能力的总线驱动器, 以及拥有灵活的接口信号定义可编程能力, 是HIRFL CSR控制系统的关键部件。 The EVME bus controller which is a key component of the HIRFL CSR control system was improved . Besides reconfiguring the embedded Linux, a utility program was developed for data exchange between the controller and the database. The bus controller is based on ARM920T(ARM9) micro processor which is BGA packaged. The bus controller has the universal interface of VGA display, keyboard, and mouse. The backboard interface logic is programmed in an in system configurable FPGA device. The bus can drive high current up to 64 mA, with the flexibility of the programmable signal definitions. All the improved performance helped the EVME bus controller play a crucial role in HIRFL CSR control system.     

Strong Universal Pointwise Consistency of Recursive Regression Estimates

For semi-recursive and recursive kernel estimates of a regression of Y on X (d-dimensional random vector X, integrable real random variable Y), introduced by Devroye and Wagner and by Révész, respectively, strong universal pointwise consistency is shown, i.e. strong consistency P _X -almost everywhere for general distribution of (X, Y). Similar results are shown for the corresponding partitioning estimates.     

高能反应末态强子产率的普适质量关系

最近实验上发现高能粒子反应末态强子多重数与其质量之间满足简单普适经验公式.计算了e⁺e^－湮没与pp(p)反应过程的直生介子与重子多重数,与经验公式中的参数完全一致.对经验公式中与反应能量有关的参数给出合理解释,并讨论了质量普适关系的原因.     

一种新型通用化图像处理系统的设计

提出了一种基于FPGA+DSP的通用化嵌入式图像处理模块,可以用于不同的项目,只需要针对不同的项目设计不同的AD、DA和接口就可以了。该处理模块具有高性能、低功耗、低成本、可扩展、可重构、灵活性强等优点,可以大大降低开发成本和设计周期。