On Selecting k Balls from an N-circle Without Unit Separation

Ｏｎ　Ｓｅｌｅｃｔｉｎｇ　ｋ　Ｂａｌｌｓ　ｆｒｏｍ　ａｎ　Ｎ－ｃｉｒｃｌｅ　Ｗｉｔｈｏｕｔ　Ｕｎｉｔ　ＳｅｐａｒａｔｉｏｎＣａｉＴｉａｎｘｉｎ（蔡天新）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｃｍａｔｉｃｓ，ＨａｎｇｚｈｏｎＵｎｉｖｅｒｓｉｔｙ，Ｈａｎｇｚ...     

On the Residues of Binomial Coefficients and Their Products Modulo Prime Powers

In this paper, we show several arithmetic properties on the residues of binomial coefficients and their products modulo prime powers, e.g., for any distinct odd primes p and q. Meanwhile, we discuss the connections with the prime recognitions. Received November 5, 1998, Accepted December 7, 2000.     

红外光谱与人工神经网络相结合识别栽培、野生黄芩和粘毛黄芩

为了识别栽培黄芩、野生黄芩和粘毛黄芩，采用非线性－线性、线性－线性、非线性－非线性三种模式的人工神经网络（ANN）分别分析各种黄芩的红外谱。我们采用42个样本作训练集，34个样本作检验集，用各种模式的ANN进行了监督性训练。当训练目标误差平方和定为0.01时，各类ANN对训练集中三类黄芩样本识别的正确率均为100%，但对检验集样本识别的结果各不相同，其识别的正确率与隐含层节点数S1有关。我们发现当S1较大时，识别正确率反而下降，可能此时网络的非线性程度过高，使其不适合于该类样本集的训练。线性－线性型ANN识别的结果随S1的变化不很大，但识别的正确率不高，基本在85％左右。非线性－线性型ANN识别的结果最佳。当S1为3时，其识别正确率超过了97％。因此该法可用以简便、快速、准确地识别这三种黄芩药材。     

人体血中吗啡浓度的GC／MS测定法

本实验采用磷酸可待因作内标，经液相萃取、乙酸酐衍生化处理后，用ＧＣ／ＭＳ的选择离子定量模型（ＳＩＭ）测定肿瘤病人体内吗啡的血药浓度。方法的最低检出限为０．９５ｎｇ／ｍＬ，在１．０～６０．０ｎｇ／ｍＬ的浓度范围内，标准曲线呈良好的线性，ｒ＞０．９９８，日内日间误差小于９．０％，回收率达９６％，已成功地应用在８例肿瘤病人口服３０ｍｇ吗啡控释片的药代动力学的研究上。     

非线性RL电路的暂态特性

对一个可解的非线性ＲＬ电路模型的暂态过程进行了研究，得到非线性ＲＬ电路的一些普遍特性，加深了加ＲＬ电路中的有关概念的理解，对教学有一定的参考价值。     

An interval iteration for multiple roots of transcendental equations

An iteration method for roots of algebraic functions with roots of multiplicity greater than one is established using tools and techniques from interval arithmetic. The method is based on an interval iteration functions for multiple roots and it retains the convergence order of the underlying iteration method while preserving global convergence over an initial interval. A number of simple examples are provided to show that the method is feasible and that it produces reasonable results.     

一类n维非球谐振子势的精确解

严格求解一类n维非球谐振子势的定态薛定谔方程，获得了归一化径向波函数和能谱的 精确解.在此基础上导出径向矩阵元r,L_n｜r^s｜n′ ₄,L′_n>的通项公式. 关键词： n维非球谐振子 精确解 径向矩阵元 通项公式     

An Improved Solow—Swan Model

§1.　IntroductionThetheoryofeconomicgrowthisanimportanttopicinMacroeconomics.Afterador-mancynearlytwodecades,thestudyofeconomicgrowthbecamevigorousagaininthemid-1980s.TheSolow-Swanmodel[1]isoneofthemostusedinthisfield.Thismodelhasarousedmanyresearchersinterestintherecentyears.N.G.Manki,etal(1992)[2]appliedthismodeltoexaminewhetheritisconsistentwiththeinternationalvariationinthestandardofliving.W.Easterly(1993)[3]gavearevisedSolow-SwanmodelbyintroducingtheCESproductionfunction.Inthepaper…     

Wielandt-Hoffman定理在四元数体上的推广

将矩阵论中重要的Ｗｉｅｌａｎｄｔ－Ｈｏｆｆｍａｎ定理推广到实四元数体上，并给出它的几个应用。