二元方程式F(x,y)=0确定的函数曲线渐近线的探讨

给出二元方程式F(x,y)=0确定的函数曲线渐近线的几个结果。     

数学分析中基本概念的教学

通过导数、数列极限、函数的连续性和函数项级数不一致收敛等概念的教学 ,阐明了数学分析中基本概念教学的重要性     

关于丢番图逼近中的一个猜想(I)

证明了Cusich提出的猜想 (I) .对于任给的n个正整数a1,a2 ,… ,an 总存在一个实数x ,使得‖aix‖ 1n+ 1,i=1,2 ,…n成立 .其中‖x‖表示x到其最近整数的距离     

On the asymptotic normality of the L1- and L2-errors in histogram density estimation

The L₁ and L₂-errors of the histogram estimate of a density f from a sample X₁,X₂,…,Xn using a cubic partition are shown to be asymptotically normal without any unnecessary conditions imposed on the density f. The asymptotic variances are shown to depend on f only through the corresponding norm of f. From this follows the asymptotic null distribution of a goodness-of-fit test based on the total variation distance, introduced by Györfi and van der Meulen (1991). This note uses the idea of partial inversion for obtaining characteristic functions of conditional distributions, which goes back at least to Bartlett (1938).     

论侦查阶段律师会见权的保障

1996年的刑事诉讼法确认了律师在侦查阶段介入诉讼,会见犯罪嫌疑人的权利,但这一规定并未使律师在侦查阶段会见犯罪嫌疑人成为常态,解决侦查阶段的会见难,应该另辟蹊径,从以下方面入手:确立沉默权制度;规定在阻止律师会见的情况下所获得的口供不能作为定案的根据;赋予法院对侦查活动的程序合法性进行审查的权力。     

我国宪法与国际人权公约有关人权限制性规定之比较

有关人权限制的问题，我国宪法不论是文本还是理念，都与国际人权公约存在差异，因而产生两者之间的冲突和协调问题。我国宪法限权条款有待明确化、具体化，违宪审查制度有待建立。     

对合Quantale范畴中的定向极限

讨论了对合Quantale范畴中函子作用在上有界集上的定向极限,并且给出了该定向极限的具体结构,同时得到了定向极限为单渗漏的一个充分条件.     

香豆素类物质的色谱检测进展

香豆素类物质在植物中分布广泛,是豆香型香料的主要成份之一,常用于日用香精中。秦皮中的秦皮甲素,补骨脂中的补骨脂内酯,另外,双香豆素,6,7-二甲氧基香豆素,7,8-二甲氧基香豆素,6-羟基-7-甲氧基香豆素等均属香豆素类物质。目前国内多数是植物(绝大多数为中药)提取物中香豆素类物质的定性或定量分析。国外的文献则偏重于香豆素作为药物在生物体中的代谢机理和生理毒性。色谱检测中应用最多的仪器是高效液相色谱。国外还报道了几种特别的高效液相色谱改进技术:胶束电动毛细管技术,凝胶溶胶通道技术,直角纳米通道技术,二维技术。另外,液质联用技术,薄层色谱和柱色谱,超临界流体色谱法,气相色谱也可用于香豆素的检测。     

Assessing Risk‐Based Upper Limits of Melamine Migration from Food Containers

Melamine contamination of food has become a major food safety issue because of incidents of infant disease caused by exposure to this chemical. This study was aimed at establishing a safety limit in Taiwan for the degree of melamine migration from food containers. Health risk assessment was performed for three exposure groups (preschool children, individuals who dine out, and elderly residents of nursing homes). Selected values of tolerable daily intake (TDI) for melamine were used to calculate the reference migration concentration limit (RMCL) or reference specific migration limit (RSML) for melamine food containers. The only existing values of these limits for international standards today are 1.2 mg/L (0.2 mg/dm²) in China and 30 mg/L (5 mg/dm²) in the European Union. The factors used in the calculations included the specific surface area of food containers, daily food consumption rate, body weight, TDI, and the percentile of the population protected at a given migration concentration limit (MCL). The results indicate that children are indeed at higher risk of melamine exposure at toxic levels than are other groups and that the 95th percentile of MCL (specific surface area = 5) for children aged 1–6 years should be the RMCL (0.07 mg/dm²) for protecting the sensitive and general population.     

Limit theorems for dependent Bernoulli variables with statistical inference

We consider a class of dependent Bernoulli variables where the conditional success probability is a linear combination of the last few trials and the original success probability. We obtain its limit theorems including the strong law of large numbers, weak invariance principle, and law of the iterated logarithm. We also derive some statistical inference results which make the model applicable. Simulation results are exhibited as well to show that with small sample size the convergence rate is satisfying and the proposed estimators behave well.