Ten Misconceptions from the History of Analysis and Their Debunking

The widespread idea that infinitesimals were “eliminated” by the “great triumvirate” of Cantor, Dedekind, and Weierstrass is refuted by an uninterrupted chain of work on infinitesimal-enriched number systems. The elimination claim is an oversimplification created by triumvirate followers, who tend to view the history of analysis as a pre-ordained march toward the radiant future of Weierstrassian epsilontics. In the present text, we document distortions of the history of analysis stemming from the triumvirate ideology of ontological minimalism, which identified the continuum with a single number system. Such anachronistic distortions characterize the received interpretation of Stevin, Leibniz, d’Alembert, Cauchy, and others.     

基于收益率与风险比率的期货套期保值策略研究

引入目标收益率作为衡量套期保值行为盈亏的界线,建立基于改进的收益率与风险比率相对数最大化的期货套期保值优化决策模型。使得单位风险下组合期望收益率大于目标收益率的收益程度最大,从理论上推导出空头和多头套期保值的最优套期比率,并与传统套期比作比较,求出了空头和多头在传统最优套期比基础上的调整量。给出了当目标收益率满足一定条件时,空头和多头套期保值的最优套期比公式。     

图像处理技术在乘用车侧面碰撞试验中的应用

多媒体计算机序列图像运动分析系统与摄影测量学理论相结合,成为较完善的非接触动态测量系统.在乘用车侧面碰撞试验中采用图像采集和数字图像处理技术,结合直接线性变换(direct liner transformation,DLT)算法,分析碰撞试验中标示点的变形量,提高乘用车侧面碰撞强度,为汽车被动安全性研究提供依据.     

Influence of Mg_5Ga_2 compound on microstructures and electrochemical properties of Mg-5%Hg-22%Ga alloy

The Mg-5%Hg-22%Ga(mole fraction) alloy was melted.Aging at 573-673 K for different times was carried out to ensure the fine dispersion of the Mg_5Ga_2 compound.Scanning electron microscopy(SEM),X-ray diffractometry(XRD) and energy spectrum analysis(ESA) were employed to characterize the microstructures and phases of the Mg-5%Hg-22%Ga alloy.The electrochemical and corrosion behaviors of the above alloy were studied by potentiodynamic,galvanostatic and electrochemical impedance spectroscopy(EIS) measuremen...     

原发性肝癌的腹腔镜分型(60例报告)(英文)

原发性肝癌的发病率在亚非洲远高于欧美,同样反映于国内外腹腔镜文献中,对其腹腔镜检查的介绍皆少而简略。本文就武汉市四个医院内科自1960年12月至6月经腹腔镜检查而最后确诊为原发性肝癌者60例进行了分析。按照腹腔镜下所观察到的肝脏形态试分作6型,大块型9例,多结节型21例,单结节型5例,(氵弥)漫小结节型(或肝硬化型)16例,非结节型(或肝炎型)3例,大网膜包果型6例。与经典的病理学分型相比较,这一分型对诊断、鉴别、处理与预后似有一定价值。有癌肿的肝叶与未发现癌肿的肝叶在同时并存的病理改变有显著较大且有不一致,对于原发性肝癌以肝硬变或病毒性肝炎作为前驱病的学说提出了疑问,本组病例未能说明日本位血吸虫病为原发性肝癌的病因。认为原发性肝癌患者肝脏的结节及肝炎等改变可能为癌肿的后果而不一定为原因。腹腔镜检查对于原发性肝癌的价值在于诊断符合率高,免除许多病例不必要的剖腹;直视下肝穿刺阳性率高,对于手术可能性的决定似有相当价值,比剖腹探查经济,住院日短而较安全。     

GFC-空间中的参数型KKM定理及其应用

首先证明了GFC-空间的一个特征性质,然后通过引进线性序空间,在非紧的GFC-空间中证明了一个参数型KKM定理.应用参数型KKM定理得到了一些新的非紧的极大极小不等式.     

284例慢性前列腺炎临床治疗分析

慢性前列腺炎是泌尿外科常见疾病。临床症状可有多种多样的表现,治疗往往很难收效,并易复发。我科在1980～1983年诊治284例慢性前列腺炎中发现,细菌感染是引起前列腺炎的主要原因。在选择性154例慢性前列腺患者中作VB_3(Voided Bladdef 3)细菌培养阳性例数达128例(83.12％)。前列腺是主要的附属性腺,一旦炎症发生,势必产生多种多样的性功能紊乱,甚至影响生育功能,导致不育症。为适合门诊病例检查及治疗,本组采用Meares—Stamey法作VB_3细菌培养计数及药敏试验,采用了以RFP加TMP为主的中西医结合综合治疗,作为门诊治疗方法,收到满意效果。治愈率达59.86％,好转率27.28％,总有效率为87.68％。本组与王氏、江氏治疗病例作了比较。它们的卡方值为x~2=12.76,p<0.01,本组与各组间疗效有显著性差异。