一阶线性非齐次微分方程求解方法的讨论和一个简化的求解方法

本文证明了一阶线性非齐次微分方程y＇+P(x)·y=f(x)三个求解方法:参数变易法、积分公式、积分因子法之间的等同关系.从参数变易法中引出一个简化的积分公式.事实上此公式恰是对用参数变易法解高阶线性非齐次微分方程时对n=1的拓广.最后以实例验证此公式的简易.     

含参数λ微分方程类型的可积判据

提出几类含参数λ微分方程,借助变量替换法、线性化法、降阶法、交换变量位置法,论证其可积性,给出可积的判据及通解的表达式.扩大微分方程的可积范围,提供其求解的方法及通解公式.     

An ERP study for the degrees of the difficulty in visual search

The present study mainly probed the relationships between ERP components and the degrees of difficulty in visual search. Three experimental and one controlled conditions were randomly selected. Results showed that the P1, N1, and P2 amplitudes and latencies had no significant differences among the three experimental and one controlled conditions, and the ERP waveforms of low perceptual load of visual search were different from that of high perceptual load. These results might indicate that the latencies and amplitudes of initial P1, N1 and P2 in high and low perceptual load conditions were almost the same. The ERP waveforms of parallel search were very different from that of serial search, and the ERP waveforms of serial search were very similar. The P3 amplitudes increased as the degrees of the difficulty in visual search decreased.     

Picturing the moon: Hevelius’s and Riccioli’s visual debate

This article investigates the maps of the moon produced in the mid-seventeenth century by Jesuit Giambattista Riccioli (1598-1671) and Johannes Hevelius (1611-1687), whose cartographic projects competed for widespread acceptance. Although Hevelius’s Selenographia (1647) was applauded for its many detailed, self-engraved pictures of the moon, his cartography and proposed nomenclature were supplanted by Riccioli’s as offered in Almagestum novum (1651), in spite of the latter’s simplistic pictures and promotion of geocentric cosmology. Exploring this paradox through pictorial analysis, three types of images common to both Selenographia and Almagestum novum are compared, employing an analytical tool developed by Svetlana Alpers in The art of describing (1983). A focus on this debate exposes the tensions evoked by new technologies of vision and competing cultures of visual epistemology in seventeenth-century astronomy. As both selenographers grappled with questions about the role of representation and what kinds of knowledge could be generated visually, the successes and failures of their competing projects present implications for the course of visual astronomy, as well as for our understanding of the use of ‘visual technologies’ in a period of controversy.     

1997～2002年《河南大学学报》（自然版）载文及引文分析

运用文献计量学的研究方法，对1997～2002年《河南大学学报》(自然版)所载论文的数量、学科、基金项目及引文进行了统计分析，以期帮助编辑和读者通过数据客观认识《学报》的学术价值和编辑特点。     

核磁共振成像用磁体的计算机辅助设计

核磁共振成像用的磁体要求在一定的磁场强度下保持大范围的均匀度。本文给出球形空芯磁体和环形空芯磁体的计算机辅助设计方法。     

DEA-based anti-HIV immunotherapy model

Acquiredimmunitydeficiencysyndrome(AIDS)isoneofthemostfataldiseasesthathasspreadacrossthewholeworldsinceitfirstoccurred.Itiscausedbythehumanimmunodeficiencyvirus(HIV)[1].Mostofthechemotherapiesareaimedatkillingorhaltingthepathogen,butanewtreatmentistoreduceviralpopulationandimprovetheimmuneresponse.Thistreatmentcanboosttheimmunesystemandservetohelpthebodyfightinfectiononitsown,soitiscalledantiHIVimmunotherapy[2,3].TheaimofthisworkistofindefficientstrategiesforsuchtreatmentsusingtheDataEnv…     

Krzyz猜想的证明及其在调和单叶函数中的应用

在族B0中引进了Loewner微分方程，证明了Krzyz猜想，并且在调和单叶函敷中给出系数不等式的应用。     

谈谈多媒体英语教学

文章介绍综合利用软件，创造良好的多媒体英语教学环境的方法和多媒体在英语课堂上的使用，以及多媒体英语教学需要注意的问题。     

数列{N(u,v)=2uv+u+v}的若干性质

本文得出了数列{N（u,v)=2uv u v}的一些性质，并提出了关于素数的一个猜想。