实际QKD系统误码检测的检错比特数研究

在量子密钥分发协议中,需要消耗一定的比特用于误码检测.研究实际QKD系统中用于检测量子误码率的检测比特数,得到了误码率、允许误差、漏检率和最少检测比特数之间的关系;分析了实际QKD系统中所需要的检测比特数.研究结果表明,实际QKD系统中,用于误码检测的检测比特数为2 760时就可以估算量子误码率.     

基于GFO和标记点分水岭算法的医学图像分割

传统的分水岭分割一般是在原始图像中根据边缘检测算子所得的边缘图进行计算,常规的边缘检测算子并没有引入图像的先验信息或形状约束。由于病理改变以及医学影像数据内在的模糊性,常规边缘检测算子很难引导分水岭算法收敛到正确的目标轮廓,由此导致传统分水岭算法容易受到图像噪声的干扰而"过分割"。在此情况下,提出利用基于广义模糊算子(GFO)的边缘检测算法来改进标记点分水岭分割。从实验结果看,提出的方法非常适合应用于临床医学图像分割。     

A refined fuzzy time series model for stock market forecasting

Time series models have been used to make predictions of stock prices, academic enrollments, weather, road accident casualties, etc. In this paper we present a simple time-variant fuzzy time series forecasting method. The proposed method uses heuristic approach to define frequency-density-based partitions of the universe of discourse. We have proposed a fuzzy metric to use the frequency-density-based partitioning. The proposed fuzzy metric also uses a trend predictor to calculate the forecast. The new method is applied for forecasting TAIEX and enrollments’ forecasting of the University of Alabama. It is shown that the proposed method work with higher accuracy as compared to other fuzzy time series methods developed for forecasting TAIEX and enrollments of the University of Alabama.     

Arithmetical distributions and the sequential extension of binary relations

With the help of an iterative process, we define a fairly broad class of arithmetical distributions on which continuous operations of addition, multiplication, and differentiation are defined. The multiplication of arithmetical distributions that we introduce is made consistent with the known definitions of the product of distributions. The results obtained can be used to justify the passage to the limit in the study of nonlinear problems of mathematical physics. Formalizing our approach, we describe a construction of an extension of binary relations, which is called sequential extension, from a dense subset to the whole topological space. These results are extended to operations of the first order. We show that the sequential extension of differentiation from the set of infinitely differentiable functions to the set of distributions coincides up to isomorphism with the generalized differentiation of distributions. Translated fromMatematicheskie Zametki, Vol. 65, No. 6, pp. 836–853, June, 1999.     

线性规划对偶问题的一个注记

指出了线性规划对偶问题定义中的一个小漏洞,并作了改正     

复杂系统的一般数学框架(Ⅰ)

复杂系统的基本和最简单的结构就是网络.根据这一思想,本系列论文拟发展一套处理复杂系统的新数学框架.本文详细论述了系统的概念、一般描述方法:系统=(硬部,软部,环境)和局整关系,包括子系统、元素与系统的关系和系统与系统的关系;给出了系统运算的基本法则;简要论述了系统的软、硬部之间的诱导转化.     

带时间限制的最小费用运输问题的求解方法

本文研究了带时间限制的最小费用运输问题。首先分析了运输量与运输时间的关系,并把运输时间划分成两部分,一部分与运输量无关,一部分与运输量有关;进一步根据运输时间与运输量的关系,把带时间限制的最小费用运输问题转化为变量有上界的运输问题,给出了求解该问题的有效算法,并通过实例进行了计算。