Count of primitive words

Abstract. The present paper concerns with the formula of the count of primitive words and ex-changeable primitive words.     

非同分布随机元和的收敛速度

本文在弱于［１］的矩条件下,对,ｒ＞１讨论了ｐ（１＜ｐ≤２）型空间中非同分布随机元和的收敛速度,同时获得了ｐ型巴拿哈空间的刻划,作为应用,我们给出了随机元随机指标部分和的收敛速度．     

自内射环的余Hopf性

本文证明了自内射环R是余Hopf的当且仅当R满足stablerangeone.于是得到了Varadarajan在[9]中的公开总是对于自内射环是成立的,即M_n(R)是余Hopf的当且仅当R是余Hopf的.作为应用证明了Goodeal的一个公开问题对于自内射正则环有肯定的回答.     

ON THE INCREMENTS DISTRIBUTION OF STOCK PRICES

Abstract. In this paper, the models of increment distributions of stock price are constructed with two approaches. The first approach is based on limit theorems of random summation. The second approach is based on the statistical analysis of the increment distribution of the logarithms of stock prices.     

The birth of defects in pattern formation: Testing of the Kibble–Zurek mechanism

The extension of the cosmological mechanism of Kibble to second order phase transitions in condensed matter systems by Zurek, can be further generalized to bifurcations of out-of-equilibrium systems in continuum media, since the argument used in the derivation of the Kibble–Zurek scaling law is general. Here we review the validity of such scaling comparing several bifurcations where the test has been checked. Also, new experimental results of a nonlinear optical system are reported.     

具线性可分训练样本时在线BP神经网络的有限收敛性

当训练样本线性可分时,本文证明前馈神经网络的在线BP算法是有限次收敛的．     

A SUCCESSIVE QUADRATIC PROGRAMMING ALGORITHM FOR SDP RELAXATION OF MAX-BISECTION

A successive quadratic programming algorithm for solving SDP relaxation of Max- Bisection is provided and its convergence result is given.The step-size in the algorithm is obtained by solving n easy quadratic equations without using the linear search technique.The numerical experiments show that this algorithm is rather faster than the interior-point method.     

一种快速计算Zpk上码字深度的算法

开始定义了环Zpk上码字的深度,给出了一种快速计算环Zpk上码字的深度的算法.