关于费马解的一个同余方程

设p为奇素数,a为整数,若ap-1≡(1mod p2),则a名为费马解。根据华罗庚给出的几个特殊的费马解,可以探求费马解的一般方法。利用初等方法及原根的性质研究同余方程xp-1≡(1modpl),l≥1的可解性,可以得到该同余方程的一切正整数解和费马解。     

基于偏微分方程的线性函数数据建模应用研究

通过线性函数数据建模,以偏微分方程理论为依据,使用Visual C#作为编程设计语言,通过串行通信口送入大量实验数据,并对海量数据进行实证分析,由此获取线性方程的数据建模方法,得到相应程序算法模型,在Visual C#环境下编写程序进行调试分析与测试,并详细介绍了该方法的具体设计过程,给出了关键程序代码,同时给出了利用该方法进行数据处理的一个实例。对于利用采样的海量数据获得线性函数的相关研究有一定的参考价值。     

关于Mordell方程y^2=x^3＋k

设l,l1,l2,…,ls为任意整数,n为正整数,n1,n2,…,ns为任意非负整数．用初等数论方法证明了：如果k满足k=（4l＋2）^3-Пi=1^s（4li＋1）^2ni或k=（4l＋3）^3-2^2nПi=1^s（4li＋1）^2ni,则Mordell方程y^2=x^3＋k无整数解．     

二维量子阱中单电子量子比特的性质

通过求解能量本征方程,得到弱磁场作用下的二维势阱中电子的本征能量及其波函数,进而以基态和第一激发态波函数构造了一个量子比特.数值计算结果表明,量子比特内电子的空间概率密度随空间坐标和时间的变化而变化,在阱的边缘处出现的概率值为零,在其他位置相对较大;各个空间点的概率密度均随时间做周期振荡,振荡周期与阱宽有关,与外磁场无关,它随阱宽的增加而增大.     

粘性层流流体速度分布的数值计算方法

介绍了如何运用数值计算方法来求解粘性层流流体的速度分布,通过坐标系转化理论、连续性方程、Navier-Stokes方程导出有关速度的非线性微分方程,运用数值计算方法分别对对称性速度流体和非对称性速度流体进行数值求解,其结果对深入了解粘性流体运动的基本规律有着重要的现实意义。     

Childhood trauma as a mediator between emotional intelligence and recidivism in male offenders

BackgroundPrior researches have implicated a relationship of recidivism with childhood trauma (CT) and emotional intelligence (EI). However, the internal mechanism by which CT and EI influence the recidivism has not been examined.ObjectiveThis study aimed to map the road from CT and EI to recidivism in Chinese male offenders.Participants and settingThree thousand one hundred and eighty-one Chinese adult male offenders participated in this study and completed Childhood Trauma Questionnaire (CTQ) and Wong Law Emotional Intelligence Scale (WLEIS). Recidivism was quantified by the number of convictions according to official records.MethodsAfter controlling for age, education levels, family criminal history, and nature of offence, logistic regression sanalysis was performed to examine the effects of CT and EI on severity of recidivism. Structural Equation Modeling (SEM) was applied to explore the mediation model between CT, EI and recidivism.ResultsLogistic regression model shows a significant effect of CT (OR = 1.008, p < 0.01), rather than EI, on recidivism. SEM supported a full mediating effect of CT in the relationship between EI and severity of recidivism.ConclusionsOur findings suggest that EI has no direct effect on the recidivism, but exerts indirect influence on the recidivism through the mediating role of childhood trauma.     

Using students’ feedback for teacher education: measurement invariance across pre-service teacher-rated and student-rated aspects of quality of teaching

Comparing self-perceived quality of teaching to students’ perception can be used in higher education to improve the quality of teaching of pre-service teachers in teacher education. However, comparing these measurements from different perspectives is only meaningful if the same constructs are being measured. To shed light on this comparison’s meaningfulness, we scrutinised whether aspects of quality of teaching are measured in the same way across pre-service teachers and their students by means of measurement invariance analyses. To do so, 272 pre-service teachers in teacher education rated aspects of their quality of teaching, and were rated by their 4851 students. Measurement invariance across these perspectives was tested in multilevel structural equation models. Strong measurement invariance held for two aspects of quality of teaching; for the third, one item lacked weak measurement invariance. Pre-service teachers perceived their quality of teaching lower than their students. In conclusion, aspects of quality of teaching can be compared across perspectives, and teacher education should encourage pre-service teachers to use students’ feedback as a valuable resource for improving their quality of teaching.     

一类双曲型方程的有限差分法

利用有限差分法求解波动方程边值问题,得到了相应的稳定性分析,并进行了数值模拟.模拟结果表明;该方法求得的数值解有较高的精度和较快的运行速度.     

Mobile users’ information privacy concerns and the role of app permission requests

Recent privacy-related incidents of mobile services have shown that app stores and providers face the challenge of mobile users’ information privacy concerns, which can prevent users from installing mobile apps or induce them to uninstall an app. In this paper, we investigate the role of app permission requests and compare the impact on privacy concerns with other antecedents of information privacy concerns, i.e., prior privacy experience, computer anxiety, and perceived control. To test these effects empirically, we conducted an online survey with 775 participants. Results of our structural equation modeling show that prior privacy experience, computer anxiety, and perceived control have significant effects on privacy concerns. However, concerns for app permission requests have approximately twice as much predictive value than the other factors put together to explain mobile users’ overall information privacy concerns. We expect that our findings can provide a theoretical contribution for future mobile privacy research as well as practical implications for app stores and providers.     

森林体验教育活动对城市公众环境负责任行为的影响

全球可持续发展和中国生态文明教育对激发公众环境意识、引导公众环境负责任行为提出了更高要求,尤其对于城市公众的影响意义重大。北京市率先引入森林体验教育理念,发挥森林生态系统文化服务功能,开展丰富多彩的森林体验教育活动。本文基于心流理论及其他文献,构建了森林体验教育活动对引导公众环境负责任行为影响的概念模型,以北京为例调查了676位参与活动的公众,运用结构方程模型方法验证了参与动机（活动前）、活动体验（活动中）对环境负责任行为（活动后）的影响机理。研究结果表明活动体验对引导公众环境负责任行为的影响是显著且正向的,并且是参与动机和环境负责任行为之间关系的完全中介变量。这一结论说明了森林体验教育活动的有效性和必要性,为进一步提升北京市活动效果和推动中国其他地区类似活动提供了理论支撑和实践参考。