Geometric Method and Generalized Linear Models. Two Opposite Multiparametric Approaches Illustrated on a Sample of Pituitary Adenomas

We used two statistical methods to identify prognostic factors: a log-linear model (logistic and COX regression, based on the notions of linearity and multiplicative relative risk), and the CORICO method (ICOnography of CORrelations) based on the geometric significance of the correlation coefficient. We applied the methods to two different situations (a "case-control study' and a "historical cohort'). We show that the geometric exploratory tool is particularly suited to the analysis of small samples with a large number of variables. It could save time when setting up new study protocols. In this instance, the geometric approach highlighted, without preconceived ideas, the potential role of multihormonality in the course of pituitary adenoma and the unexpected influence of the date of tumour excision on the risk attached to haemorrhage.     

司空图《诗品》篇天人合一思维模式的原型追溯

以原型的方法对司空图《诗品》天人合一思维模式进行了全面分析。指出司空图《诗品》的思维模式遵循了中国古代由诗歌品阶、天时、时律、时历等形成的系统的天人合一模式，是典型的中国思维。     

关于丢番图方程x2+by=cz

设s,t满足gcd(s,t)=1,s>t的正整数,a=2st,b=s~2-t~2,c=s~2+t~2。证明了:若c为素数幂且满足下列条件之一:(1)b有因子b_1≡±5(mod8),(2)b≡-1(mod8),(3)5|c。则不定方程x~2+b~y=c~z仅有一组正整数解(x,y,z)=a,2,2。     

素质拓展探索——建立数学教学新模式

本文简述建立数学教学新模式的必要性;论述了知识、能力、品质、方法之间的辨证关 系;提出了“知识、能力、品质”相结合的教学模式和一定的方法。     

Statistical Analyses and Modelling of the Mixing Process of Euro Coins in Germany and Europe

This paper reports on the mixing of Euro coins from different countries of origin in Europe, which started on 1 January 2002. There is an interesting conclusion: that the mobility of small and large denominations is different. The long‐term behaviour of the mixing process is studied using a simple deterministic model and data from Germany, France and the Netherlands. The analysis leads to predictions about the future progress of the mixing process.     

高师技法课改革的专业特殊性与科学性

本文从高师技法课(声乐、钢琴)教学改革的大潮中,提出了教学改革中应注意专业的特殊性和科学性,阐述了教学改革应遵循的基本原则以及合理的课型模式。     

Estimation of Metabolic Rate Constants in PBPK‐Models from Liver Slice Experiments: What Are the Experimental Needs?

A mechanistic model is presented describing the clearance of a compound in a precision-cut liver slice that is incubated in a culture medium. The problem of estimating metabolic rate constants in PBPK models from liver slice experiments is discussed using identifiability analysis. From the identifiability problem analysis, it appears that in addition to the clearance, the compound's free fraction in the slice and the diffusion rate of the exchange of the compound between culture medium and liver slice should be identified. In addition, knowledge of the culture medium volume, the slice volume, the compound's free fraction, and octanol-water-based partition between medium and slice is presupposed. The formal solution for identification is discussed from the perspective of experimental practice. A formally necessary condition for identification is the sampling of parent compound in liver slice or culture medium. However, due to experimental limitations and errors, sampling the parent compound in the slice together with additional sampling of metabolite pooled from the medium and the slice is required for identification in practice. Moreover, it appears that identification results are unreliable when the value of the intrinsic clearance exceeds the value of the diffusion coefficient, a condition to be verified a posteriori.     

一类非线性时滞微分方程的振动性

讨论了非线性时滞微分方程Ｈ（ｔ，ｘ（ｔ），ｘ（ｔ—ｒ）＋ｆ（ｔ，ｘ（ｔ—τ））—ｇ（ｘ（ｔ—σ））＝０的振动性，推广了有关文献的部分结果．     

一般Gauss－Markov模型下一般可估函数的线性充分性和线性完全性

发展了Ｂａｋｓａｌａｒｙ和Ｄｒｙｇａｓ提出的一般Ｇａｕｓｓ－Ｍａｒｋｏｖ模型中线性充分性、最小充分性和完全性的概念，用Ｒａｏ的最小二乘统一理论，给出了这些概念的刻划定理。     

一类收敛级数求和的微分方程解法

从微分方程的角度出发 ,分三个方面讨论了一类收敛级数求和问题的具体解法。