关于R(m=C4,n)图的优美性

本文对R(m=C4,n)图的优美性进行证明,同时对R(m=C4,n)图的交错性进行证明.     

从高校学生的阅读导向谈图书馆的教育职能

以浙江树人大学图书馆为例，分析2001年该校大学生的借阅规律，在此基础上，探计当代大学生的阅读走向，并阐述图书馆教育职能的特点。     

论西方国家的司法审查制度

西方国家的司法审查是指通过司法程序审查立法和行政是否违宪的一种制度,普遍认为这一制度首先起源于美国。司法审查机构一般可分为普通法院和宪法法院两种,通过具体审查、抽象审查、宪法诉讼等方式进行。在不同的审查模式下,用判例、惯例或制定专门法律来保障这一制度的有效实施。     

用跳马步系列研究奇素数阶规则完美幻方的个数

本文先介绍跳马步系列的有关概念及性质,然后用跳马步系列研究奇素数阶规则完美幻 方的个数。     

Ability vs Background: An Analysis of the Distribution Mechanism of Higher Education Enrolment Opportunities

Individual education performance is usually influenced jointly by ability and background (family background). The relative share of these two factors forms the basic grounds for judgments of educational equity. Using sheaf coefficients, we compare the influence of these two mechanisms on the distribution of access to regular first degree higher education opportunities for institutions at different levels. Our findings show that both ability and family background have a marked influence. The higher the level of the institution, the greater the ability demanded of its students. The effect of family also increases significantly at this level, but ability always has a much stronger influence than family background. It can be seen that though family background is influential in the distribution of higher education opportunities in China today, ability fundamentally remains the dominant criterion, embodying the classic features of a meritocratic society “open to talent.”     

多次加入电位滴定法测定铜材中痕量氯

研究了以银电极为指示电极、多次加入格氏电位滴定测定铜材中痕量氯的方法和实验条件,回收率９３．４％,相对标准偏差６．５％．     

Assessing respondent-driven sampling: A simulation study across different networks

The purpose was to assess RDS estimators in populations simulated with diverse connectivity characteristics, incorporating the putative influence of misreported degrees and transmission processes. Four populations were simulated using different random graph models. Each population was “infected” using four different transmission processes. From each combination of population x transmission, one thousand samples were obtained using a RDS-like sampling strategy. Three estimators were used to predict the population-level prevalence of the “infection”. Several types of misreported degrees were simulated. Also, samples were generated using the standard random sampling method and the respective prevalence estimates, using the classical frequentist estimator. Estimation biases in relation to population parameters were assessed, as well as the variance. Variability was associated with the connectivity characteristics of each simulated population. Clustered populations yield greater variability and no RDS-based strategy could address the estimation biases. Misreporting degrees had modest effects, especially when RDS estimators were used. The best results for RDS-based samples were observed when the “infection” was randomly attributed, without any relation with the underlying network structure.     

Spectral goodness of fit for network models

We introduce a new statistic, ‘spectral goodness of fit’ (SGOF) to measure how well a network model explains the structure of the pattern of ties in an observed network. SGOF provides a measure of fit analogous to the standard R² in linear regression. Additionally, as it takes advantage of the properties of the spectrum of the graph Laplacian, it is suitable for comparing network models of diverse functional forms, including both fitted statistical models and algorithmic generative models of networks. After introducing, defining, and providing guidance for interpreting SGOF, we illustrate the properties of the statistic with a number of examples and comparisons to existing techniques. We show that such a spectral approach to assessing model fit fills gaps left by earlier methods and can be widely applied.     

用信号流图分析开关电容网络

大型开关电容（SC）网络往往是由许多SC网络级联而成的,而级联之前要对SC子网络进行优化设计,就必须得到子网络的网络函数表达式。本文介绍了一种通过观察SC网络的拓扑结构,直接得到网络的信号流图（SFG）,从而得到所需要的网络数的方法。     

The likelihood ratio test for homogeneity in finite mixture models

The authors study the asymptotic behaviour of the likelihood ratio statistic for testing homogeneity in the finite mixture models of a general parametric distribution family. They prove that the limiting distribution of this statistic is the squared supremum of a truncated standard Gaussian process. The autocorrelation function of the Gaussian process is explicitly presented. A re‐sampling procedure is recommended to obtain the asymptotic p‐value. Three kernel functions, normal, binomial and Poisson, are used in a simulation study which illustrates the procedure.