求多项式根的混合并行迭代法

本文给出一种求多项式根的混合并行迭代法，该方法由作者的方法与Durand-Kerner方法或Aberth方法构成，作者的方法是基于多项式根的分布理论的，该混合方法的收敛速度较快且没有初始近似值选取的麻烦。     

配电变压器额定电流近似值速算法

电力系统中,配电变压器数量非常之多,所占地位也非常重要。在现场常需求出配电变压器的一、二次额定电流,以便更换熔丝、熔管、开关、电流互感器和导线等。额定电流可以用公式计算出来,但比较费时。在实际工作中,我们根据已知的变压器相数、额定容量、一、二次额定电压,可立即求出额定电流近似值,其精确度能满足要求。这种方法简单易行,很适合现场应用,现将此方法的推算介绍如下。     

Verification of duration systems using an approximation approach

We consider the verification problem of invariance properties for timed systems modeled by (extended) Timed Graphs with duration variables,This problem is in general case undecidable,Nevertheless we give in this paper a technique extending a given system into another one containing the initial computations as well as additional ones.Then we define a digitization technique allowing the translation from the continuous case to the discrete one.Using this digitization,we show that to each real computation in the initial system corresponds a discrete computation in the extended system.Then,we show that the extended system corresponds to a very close approximation of the initial one,allowing per consequent,a good analysis of invariance properties of the initial system.     

基于硬币实验的圆周率近似值计算

圆周率π的近似值计算,历史悠久,公式繁多.本文从硬币实验出发,运用数列极限知识让学生亲历体验π的近似值计算过程,领悟思想方法,感受数学魅力。     

浅析程序设计在解决与近似值相关的数学问题上的应用

本文将程序设计知识运用到求无理数的近似值、求解方程的近似根、求不规则图形面积等与近似值相关的数学问题上,让读者从新的角度审视求解与近似值相关的数学问题的新方法,并领悟程序设计在求解决这些数学问题上所显示出的优势。     

The sharp upper bound on the distance between a parametric patch and its interpolated triangle

In computer aided geometric design （CAGD） and computer graphics, it is a general manipulation to approximate a surface by triangulation mesh. Thus a key problem is to estimate the error of the approximation. So far, many papers have given various estimate bounds of the distance between a parametric patch of a C2 surface and an arbitrary triangle whose vertices are on the patch, but these estimates are all imperfect, some of them have large error, some of them have complicated representation formulae. By using a succinct new method, a sharp upper estimate of the maximum distance between a patch and a triangle is obtained and a strict proof is given. This is very valuable for CAGD.     

幂级数∞∑n=1x2n/(2n)k和函数的递推公式及其应用

根据收敛级数的分析性质研究了幂级数∞∑n=1x2n/(2n)k(k≥2)的和函数问题,用数学归纳法证明了其和函数的递推公式,由此得出k=2,3,4,…时幂级数和函数的具体表达式,进而导出几个与之相关的非初等积分的值或近似值.     

Generalized multi-layered granulations and approximations based on neighborhood systems under incomplete information systems

A generalized multi-layered granulation structure used by neighborhood systems is proposed. With granulated views, the concepts of approximations under incomplete information systems are studied, which are represented by covering of the universe. With respect to different levels of granulations, a pair of lower and upper approximations is defined and an approximation structure is investigated, which lead to a more general approximation structure. The generalized multi-layered granulation structure provides a basis of the proposed framework of granular computing. Using this framework, the interesting and useful results about information granulation and approximation reasoning can be obtained. This paper presents some useful explorations about the incomplete information systems from information views.     

YH-2计算a~x、log_ax、x~y函数的算法设计

本文讨论了ＹＨ－２机中２Ａ、ｌｏｇ２ｘ两条辅助指令的设计，研究了基于初值的ａｘ、ｌｏｇａｘ、ｘｙ的算法设计和误差分析。     

基于区域生长处理的视频运动车辆提取新方法

车辆提取在视频交通流量检测系统中是最重要、最关键的一环。提出一种基于区域生长算法的简单、快速的车辆提取方法。这种方法通过差分图像估计阴影灰度近似值,然后用该值作为参考值删除输入图像属于背景和阴影的像素,最后得到运动车辆图像。利用该方法进行了大量的实验,从实验结果来看,此方法具有较好的稳定性和有效性;从计算时间来看,该方法也能满足实时系统的需要。