代数体函数的一个基本不等式

本文得到了由定理2给出的代数体函数的一个基本不等式.     

Fibonacci计数函数五次均值的计算

研究了Fibonacci函数的五次均值计算问题，采用了递推的方法，给出了一个精确的计算公式。     

明安图是卡塔兰数的首创者

本文叙述组合数学中著名的卡塔兰数在西方发展的历史和现代研究的概况,指出中国清代蒙古族数学家明安图(约1692—1763)在18世纪三四十年代先于欧拉(1758)和卡塔兰(1838)提出并应用了这一序列。本文将明安图的首创性成果表示成现代的形式,说明他在无穷级数研究中求卡塔兰数的两种方法各具特色,与现今所知的求法都不相同,值得进一步研究。     

关于Fibonacci计数函数的二次均值计算

研究了关于Fibonacci计数函数的二次均值计算问题,采用了递推归纳的方法,给出了B2(N)的一个精确计算公式.     

基于差分计盒维数的分形图像编码方法

提出了一种利用差分计盒维数(简称DBC,一种估计分形维数的方法)新的分形图像编码方法,该方法利用DBC来寻找一个与值域子块在分形维数上最接近而且与其差别小于某一预定阈值的定义域子块.这种方法的优点在于能够有效减少搜寻对应于某一值域子块的最佳定义域子块及最佳变换的搜索空间.     

论英语素体诗汉译的形式要求——以戴那·乔亚《清点孩子》的译文为例

作为英语格律诗汉译的基础研究,素体诗的汉译策略在形式上可以设定“兼顾顿数与字数”的量化标准,还应该使译文尽可能体现句中停顿与跨行、节奏替换与缺省等原作中有意义标记的文体特征。     

单光子流的实验室模拟与标定

本报道了利用偏振片衰光获得PMT光子计数系统测试用单光子流的方法，以及利用插值定标的数据处理方法对其强度标定的实验结果．和通常采用的滤波片衰光方法相比，该方法不仅简单方便，而且能实现连续衰光并且不改变原入射光的光谱成份．由于能有效地抑制杂散光的影响，结果具有较高的精度．利用该方法测量了PMT光子计数系统输入输出间的非线性关系，结果和理论估计符合甚好．     

RELATIVE TREND AND ITS TEST

In this paper we develop tests using L-statistic for a constant relative trendagainst a convex ordered relative trend.Unbiasedness of the test is obtained.For a certainpath of trends,the score function can be chcsen so that the sequence of the constructed testsis locally asymptotically most powerful.An example is given to illustrate the results.     

Calcium carbonate nanoparticles promote osteogenesis compared to adipogenesis in human bone-marrow mesenchymal stem cells

Rhombohedron-like and fusiform calcium carbonate nanoparticles were fabricated using a new method. Their geometry was controlled by varying the mixing speed and ratio of ethanol versus water in reaction system. The calcium carbonate nanoparticles(CCNPs) have slight effect on viability of human bone-marrow mesenchymal stem cells(hBMSCs) with dose-dependent and shape-dependent, but they can significantly promote osteogenic differentiation of hBMSCs in vitro by 10–37% increase of alkaline phosphatase(ALP) activity, 9–36% growth of collagen secretion and 1.13–1.83 folds upregulation of osteogenesis-related genes, even at lower dose ranges(5–20 μg/ml). The efficacity of promoting osteogenesis depends on the shape and dose of CCNPs. Furthermore,adipogenesis was inhibited by less accumulation of lipid droplets, lower triglyceride(TG) secretion and downregulation of adipogenesis-related genes. These findings improve the understanding of effects CCNPs on hBMSCs fate towards osteoblasts or adipocytes and have meaningful impact for combining use of CCNPs and hBMSCs in tissue engineering and regenerative medicine fields.     

Generalized exponential growth models a bayesian approach

A broad class of normal and non-normal models for processes with non-negative and non-decreasing mean function is presented. This class is called exponential growth models and the inferential procedure is based on dynamic Bayesian forecasting techniques. The aim is to produce the analysis on the original variable avoiding transformation and giving to the practitioner the opportunity to communicate easily with the model. This class of models includes the well-known exponential, logistic and Gompertz models. Models for counting data are compared with the Normal models using the appropriate variance law. In the examples, the novel aspects of this class of models are illustrated showing an improved performance over simple, standard linear models.