局部环上欧氏空间中象对称表为对称的分解

局部环上欧氏几何中 ,正交变换表为对称问题 ,是环上欧氏几何的基本问题之一 .本文探讨的是如何将域上欧氏几何中 ,关于这一问题的结果 ,有效的转到环上来 .     

An online copy number variant detection method for short sequencing reads

The availability of the next generation sequencing (NGS) technology in today's biomedical research has provided new opportunities in scientific discovery of genetic information. The high-throughput NGS technology, especially DNA-seq, is particularly useful in profiling a genome for the analysis of DNA copy number variants (CNVs). The read count (RC) data resulting from NGS technology are massive and information rich. How to exploit the RC data for accurate CNV detection has become a computational and statistical challenge. We provide a statistical online change point method to help detect CNVs in the sequencing RC data in this paper. This method uses the idea of online searching for change point (or breakpoint) with a Markov chain assumption on the breakpoints loci and an iterative computing process via a Bayesian framework. We illustrate that an online change-point detection method is particularly suitable for identifying CNVs in the RC data. The algorithm is applied to the publicly available NCI-H2347 lung cancer cell line sequencing reads data for locating the breakpoints. Extensive simulation studies have been carried out and results show the good behavior of the proposed algorithm. The algorithm is implemented in R and the codes are available upon request.     

关于代数体函数的增长与其例外函数个数的关系

设f（z）为n值代数体函数，如果f（z）具有n＋1个Borel例外函数，则f（z）是正规增长的，其级为正整数或无穷。如果f（z）的级ρ（0＜ρ＜∞）不为整数，记P为f（z）的Borel例外函数个数，q为f（z）的亏量等于1的Nevanlinna例外值个数，则P＋q≤n．     

On a Pandemic Threshold Theorem of the Early Kermack–McKendrick Model with Individual Heterogeneity

A pandemic threshold theorem of the Kermack–McKendrick epidemic system with individual heterogeneity is proved from the definition of R ₀ by Diekmann, Heesterbeek, and Metz. The early Kermack–McKendrick epidemic model is extended to recognize individual heterogeneity, where the state variable indicates an epidemiological state or genetic, physiological, or behavioral characteristics such as risk of infection. With the basic reproduction number R ₀ for the heterogeneous population, the final size equation of the limit epidemic starting from a completely susceptible steady state at t = ?∞ has a unique positive solution if and only if R ₀  > 1. The main result is that the positive solution of the final size equation gives the lower bound of the intensity of any epidemic starting from a host population composed of susceptible and a few infected individuals who spread on a noncompact domain of the trait variable.     

量词插入与汉英数量表述

名词可以分为两类:带有[+个体]特征的名词和带有[-个体]特征的名词.定量数词只能直接加在带有[+个体]特征的名词前面来计数.为了挽救定量数词的这一局限性,汉语和英语都选择了“量词插入”这一手段,但在汉语中“量词插入”属于词汇手段,即用附加手段将“量词”作为语素创造出一种新的双音节词汇；而在英语中“量词插入”则是句法手段,它必须满足“格检验式”这一句法规则.     

Estimating the number of clusters

Hartigan (1975) defines the number q of clusters in a d ‐variate statistical population as the number of connected components of the set {f > c}, where f denotes the underlying density function on R^d and c is a given constant. Some usual cluster algorithms treat q as an input which must be given in advance. The authors propose a method for estimating this parameter which is based on the computation of the number of connected components of an estimate of {f > c}. This set estimator is constructed as a union of balls with centres at an appropriate subsample which is selected via a nonparametric density estimator of f. The asymptotic behaviour of the proposed method is analyzed. A simulation study and an example with real data are also included.     

Bayes prediction of number of failures in weibull samples

This work is concerned with the Bayesian prediction problem of the number of components which will fail in a future time interval, when the failure times are Weibull distributed. Both the 1-sample and the 2-sample prediction problems are dealed with, and some choices of the prior densities on the distribution parameters are discussed which are relatively easy to work with and allow different degrees of knowledge on the failure mechanism to be incorporated in the predictive procedure. Useful relations between the predictive distribution on the number of future failures and the predictive distribution on the future failure times are derived. Numerical examples are also given.     

独立反应数及独立反应的确定

根据线性代数原理阐述了复杂反应系统的独立反应数及独立反应式的确定方法     

法官员额制度比较分析

我国的法官人数多、素质良莠不齐、地位低、待遇薄。提高法官素质，塑造精英化的法官群体，是司法改革最基本、最迫切的任务之一。而科学的法官员额制度则是实现法官精英化、专业化不可缺少的前提条件，是法官制度的基础。对中外法官员额制度进行比较分析，有助于完善我国法官员额制度。