关于“on finite regular BCI-algebras”一文的注记

文〔1〕引入了正则BCI一代数(fegularBCI—algebra)的概念。得到了有限正则BCI一代数的若干性质。本文证明了正则BCI一代数与P一半单BCI一代数是完全一致的。从而文〔1〕的结果正是Abel群的结果,是P一半单BCI一代数的再陈述。     

论司空图诗

司空图作为学史上一位杰出的诗歌理论家,主张“诗贯六义”．提出“全美为工”,并以这种理论来指导创作实践,故其诗歌创作从整体上看是以醇厚、雅正为基调的．被苏轼评价为“犹有承平之遗风”。他善于在诗中调剂自己的情绪,所以他的诗中没有流露出太多的锋芒,太多的哀怨,这样的心态投射于其诗歌创作当中便呈现出一种沉静、从容、浑厚的风格,呈现出一些有别于那个时代整体风貌的独特之处。     

左模张量积的同态及其基础环的转移

本文在[1]的基础上，讨论了两个左模张量积的同态，左模和左模张量积的基础环的转移，逆转移。并给出了基础环逆转移的一个同构定理。     

Full likelihood inference in the Cox model with LTRC data when covariates are discrete

For the regression parameter β in the Cox model, there have been several estimates based on different types of approximated likelihood. For right-censored data, Ren and Zhou [Full likelihood inferences in the Cox model: an empirical approach. Ann Inst Statist Math. 2011;63:1005–1018] derive the full likelihood function for (β, F₀), where F₀ is the baseline distribution function in the Cox model. In this article, we extend their results to left-truncated and right-censored data with discrete covariates. Using the empirical likelihood parameterization, we obtain the full-profile likelihood function for β when covariates are discrete. Simulation results indicate that the maximum likelihood estimator outperforms Cox's partial likelihood estimator in finite samples.     

Left truncation in linked data: A practical guide to understanding left truncation and applying it using SAS and R

Time-to-event data such as time to death are broadly used in medical research and drug development to understand the efficacy of a therapeutic. For time-to-event data, right censoring (data only observed up to a certain point of time) is common and easy to recognize. Methods that use right censored data, such as the Kaplan–Meier estimator and the Cox proportional hazard model, are well established. Time-to-event data can also be left truncated, which arises when patients are excluded from the sample because their events occur before a specific milestone, potentially resulting in an immortal time bias. For example, in a study evaluating the association between biomarker status and overall survival, patients who did not live long enough to receive a genomic test were not observed in the study. Left truncation causes selection bias and often leads to an overestimate of survival time. In this tutorial, we used a nationwide electronic health record-derived de-identified database to demonstrate how to analyze left truncated and right censored data without bias using example code from SAS and R.     

《老子》论兵之作简析

论析《老子》对军事的战略主张 ,谨慎用兵、胜利原则以及将帅与士兵的素质要求和临战心态。强调守土有责 ,侵人无权 ,特别论述了战争的危害性 ,有反战倾向。还对“吉事尚左 ,凶事尚右” ,作了与古人不同的解释 ,展现了《老子》论兵的特色与精华     

团体绘画艺术疗法对留守儿童社交焦虑的干预研究

在城乡二元结构背景下，留守儿童社交焦虑问题成为社会关注的焦点。基于社交焦虑作用机制模型，分析留守儿童社交焦虑的发生机制。采用干预实验研究法，对实验对象进行干预。结果显示，干预前，实验组和控制组在青少年社交焦虑量表（SAS-A）得分上无显著差异（p>0.05）。干预后，实验组和控制组在青少年社交焦虑量表得分上组间差异显著（p<0.01）。这表明，团体绘画艺术疗法能够显著降低留守儿童社交焦虑水平，并在改善留守儿童自我聚焦和外界关注方面有着积极效应。团体绘画艺术疗法的推广和国家、社会的共同发力有助于改善留守儿童社交焦虑问题。