化学计算与图形处理软件设计

近年来 ,化学计算与图形处理越来越受到重视 ,许多用于微机计算的精确公式也相继发表 .介绍了酸碱滴定曲线通用计算公式、络合滴定通用计算公式、氧化还原滴定通用计算公式、混合体系缓冲容量的通用算法以及这些公式在图形处理中的应用 .简要介绍了笔者以Delphi5.0为平台处理图形时的流程及思路 .     

Accurate and simple synthesis formulas for coplanar waveguides

Simple and accurate closed‐form formulas obtained by using a differential evolution algorithm are presented for the synthesis of coplanar waveguides (CPW). The results of the synthesis formulas proposed in this article are compared with those of the quasi‐static analysis, the synthesis formulas reported by the other researchers and also the experimental works available in the literature. The accuracy of the proposed synthesis formulas is found to be better than 0.75% for 9256 CPWs samples. © 2008 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2008.     

一种应用于移动学习环境中的数学公式标记语言

移动学习逐渐成为一种很受关注的新的学习方式,作为对移动学习的一种主要技术支持WML不支持数学公式的表达,使有关数学公式的学习内容难以传输和复用。研究了数学公式的结构特点,提出了一种数学公式结构模型,并以此为基础,设计了一种通用数学公式标记语言,以作为移动学习环境下的数学公式传输和表达。该标记语言结构简单、且易于实现浏览。     

Excel中公式和函数教学的研究与探讨

公式和函数是Excel教学中的重点与难点,电子表格中的数据运算正是通过公式和函数完成的,只有掌握了它们的使用,才能在日常的Excel使用中提高工作效率。该文介绍了Excel中公式和函数教学中的一些方法与体会。     

Characterizing the measures on the unit circle with exact quadrature formulas in the space of polynomials

In the present paper we characterize the measures on the unit circle for which there exists a quadrature formula with a fixed number of nodes and weights and such that it exactly integrates all the polynomials with complex coefficients. As an application we obtain quadrature rules for polynomial modifications of the Bernstein measures on [−1,1], having a fixed number of nodes and quadrature coefficients and such that they exactly integrate all the polynomials with real coefficients.     

A Complex View of Barycentric Mappings

Barycentric coordinates are very popular for interpolating data values on polyhedral domains. It has been recently shown that expressing them as complex functions has various advantages when interpolating two‐dimensional data in the plane, and in particular for holomorphic maps. We extend and generalize these results by investigating the complex representation of real‐valued barycentric coordinates, when applied to planar domains. We show how the construction for generating real‐valued barycentric coordinates from a given weight function can be applied to generating complex‐valued coordinates, thus deriving complex expressions for the classical barycentric coordinates: Wachspress, mean value, and discrete harmonic. Furthermore, we show that a complex barycentric map admits the intuitive interpretation as a complex‐weighted combination of edge‐to‐edge similarity transformations, allowing the design of “home‐made” barycentric maps with desirable properties. Thus, using the tools of complex analysis, we provide a methodology for analyzing existing barycentric mappings, as well as designing new ones.     

Some quadrature formulas for functions partially holomorphic with respect to each variable in a Jordan polydomain in C 2 and a complex double integral formula

In this paper, quadrature formulas with remaining term in integral form for functions partially holomorphic with respect to each variable in a Jordan polydomain in C ² and a complex double integral formula are given. For this, we used the Cauchy Integral formula for Jordan polydomain in C ².     

沿虚轴无穷区问主值积分与逆傅里叶积分变换

在工程技术和科学研究的许多领域,傅里叶积分变换极为重要,但逆傅里叶积分变换手工计算比较困难,限制了傅里叶积分变换的应用范围。研究发现,逆傅里叶积分变换可以变换成沿复平面虚轴上的无穷区间主值积分,由此,导出一个逆傅里叶积分变换的计算公式,可用来快速完成逆傅里叶积分变换计算。     

第一类Dirichlet积分的公式解

利用三角降次公式及留数解决了第一类Dirichlet积分问题,即给出了第一类Dirichlet积分的公式解。利用所得结果,定义了Dirichlet数Dn,证明了其一般性质。     

动态系统预测的一种统计方法

给出了动态系统预测的一种统计方法及其递推估计公式，该方法充分利用了新信息，提高了预测准确度，减少了计算量，预测效果优于普通最小二乘估计.