LF拓扑空间的商空间的同胚

利用满映射f:X→Y诱导的L值Zadeh型函数f:L^X→L^Y和LF拓扑空间（L^X,δ）构造商空间（L^Y,μ）；又由f建立X上等价关系－，得出自然投影P：X→X／－，再得用P诱导的L值Zadeh型函数P：L^X→L^X/-和（L^X,δ）构造商空间（L^X/-,μ^*），证明了两商空间同胚。     

一类带有分布参数系统的最佳控制

本文给出一类非均匀弦的横向振动的最佳控制，推广了P C Park的结果。这一结果同样适用于同类型振动问题。     

实用电源变压器检测台

该电路设计简单、构思新颖 ,适合小批量测试小型电源变压器的空载电流、额定电流及次级空载电压、满载电压、负载电流等参数     

On Optimality of Bayesian Wavelet Estimators

Abstract.  We investigate the asymptotic optimality of several Bayesian wavelet estimators, namely, posterior mean, posterior median and Bayes Factor, where the prior imposed on wavelet coefficients is a mixture of a mass function at zero and a Gaussian density. We show that in terms of the mean squared error, for the properly chosen hyperparameters of the prior, all the three resulting Bayesian wavelet estimators achieve optimal minimax rates within any prescribed Besov space     for p  ≥ 2. For 1 ≤  p  < 2, the Bayes Factor is still optimal for (2 s +2)/(2 s +1) ≤  p  < 2 and always outperforms the posterior mean and the posterior median that can achieve only the best possible rates for linear estimators in this case.     

基于时变参数的中国总量生产函数估计

总量生产函数是宏观经济增长分析和技术进步定量化测算的基础,传统方法估算总量生产函数具有很多不足之处。利用1952—2005年中国宏观经济数据,建立时变参数模型,应用卡尔曼滤波算法,对我国1952—2005年间历年的总量生产函数进行了估算。研究结果表明:利用时变参数估算生产函数较好地捕捉到了经济政策的重大事件对于总量生产函数的影响,可能是理论与实际情况更加接近的一种拟合。我国技术进步和资本、劳动的产出弹性三者相互影响,呈同方向变化,并且技术进步对资本的产出弹性影响较大,对劳动的产出弹性影响较小,1978—2005年间我国属于节约资本型技术进步。     

Estimation of noncentrality parameters

We propose some estimators of noncentrality parameters which improve upon usual unbiased estimators under quadratic loss. The distributions we consider are the noncentral chi-square and the noncentral F. However, we give more general results for the family of elliptically contoured distributions and propose a robust dominating estimator.     

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.     

Orlicz教授和他创造性的工作

本文介绍了著名数学家和教育家Orlicz教授和他创造性的工作,以及他对中国数学研究工作的重大影响     

湖南省省属高校经常性财政拨款新模式构建研究

经过近几年来高校管理体制的大幅度调整变化,目前湖南省省属高校所采用的经常性财政拨款方案已不能适应新形式的需要。成为适时之需,构建一种公平合理、简单有效的新模式,既发挥财政拨款在高教事业中的基础作用,又引导高校不断提高办学效益。     

Physiologically Based Liver Modeling and Risk Assessment

Because of the inherent complexity of biological systems, there is often a choice between a number of apparently equally applicable physiologically based models to describe uptake and metabolism processes in toxicology or risk assessment. These models may fit the particular data sets of interest equally well, but may give quite different parameter estimates or predictions under different (extrapolated) conditions. Such competing models can be discriminated by a number of methods, including potential refutation by means of strategic experiments, and their ability to suitably incorporate all relevant physiological processes. For illustration, three currently used models for steady-state hepatic elimination--the venous equilibration model, the parallel tube model, and the distributed sinusoidal perfusion model--are reviewed and compared with particular reference to their application in the area of risk assessment. The ability of each of the models to describe and incorporate such physiological processes as protein binding, precursor-metabolite relations and hepatic zones of elimination, capillary recruitment, capillary heterogeneity, and intrahepatic shunting is discussed. Differences between the models in hepatic parameter estimation, extrapolation to different conditions, and interspecies scaling are discussed, and criteria for choosing one model over the others are presented. In this case, the distributed model provides the most general framework for describing physiological processes taking place in the liver, and has so far not been experimentally refuted, as have the other two models. These simpler models may, however, provide useful bounds on parameter estimates and on extrapolations and risk assessments.