高职数学中蒙特卡罗方法的应用

计算不规则图形面积问题时常用的方法,一般是先建立不规则图形的函数,再根据定积分公式来求其面积。考虑到高职计算机类学生数学基础知识差但对计算机程序熟悉的特点,采用蒙特卡罗方法,即通过计算机编程可以实现对高职数学中不规则图形面积的计算。实证表明将数学知识点结合学生的专业特点能起到较好的教学效果。     

知识产权整体化风险管理的实证研究

首先,对广东自主创新型企业的知识产权风险进行分类与识别。其次,建立动态定量模型,发现广东自主创新型企业的知识产权风险主要集中在知识产权创造和运用环节,这两个流程环节中风险因素可解释变动百分比分别为35.75％和21.75％,相对而言知识产权管理和保护环节的风险较小,这两个流程环节中风险因素的可解释变动百分比分别为11.49％和6.43％。最后,对广东自主创新型企业的知识产权风险给出具体可操作的风险管理对策。     

Tests of Equivalence for One-Way Independent Groups Designs

Researchers in education are often interested in determining whether independent groups are equivalent on a specific outcome. Equivalence tests for 2 independent populations have been widely discussed, whereas testing for equivalence with more than 2 independent groups has received little attention. The authors discuss alternatives for testing the equivalence of more than 2 independent populations, and they use a Monte Carlo study to demonstrate and compare the performance of these alternatives under several conditions. The results indicate that a 1-way test (e.g., Wellek's F test) is recommended for assessing the equivalence of more than 2 independent groups because approaches based on conducting pairwise tests of equivalence are overly conservative.     

Digital Module 11: Bayesian Psychometric Modeling https://ncme.elevate.commpartners.com

In this digital ITEMS module, Dr. Roy Levy describes Bayesian approaches to psychometric modeling. He discusses how Bayesian inference is a mechanism for reasoning in a probability-modeling framework and is well-suited to core problems in educational measurement: reasoning from student performances on an assessment to make inferences about their capabilities more broadly conceived, as well as fitting models to characterize the psychometric properties of tasks. The approach is first developed in the context of estimating a mean and variance of a normal distribution before turning to the context of unidimensional item response theory (IRT) models for dichotomously scored data. Dr. Levy illustrates the process of fitting Bayesian models using the JAGS software facilitated through the R statistical environment. The module is designed to be relevant for students, researchers, and data scientists in various disciplines such as education, psychology, sociology, political science, business, health, and other social sciences. It contains audio-narrated slides, diagnostic quiz questions, and data-based activities with video solutions as well as curated resources and a glossary.     

卡洛·斯卡帕的建筑设计思想——以意大利斯坦普利亚基金会建筑的修复设计为例

意大利建筑界殿堂级建筑师卡洛·斯卡帕,是斯坦普利亚基金会建筑修复的设计者。斯坦普利亚基金会建筑修复设计体现了他的建筑思想。卡洛·斯卡帕从场所出发,重视建筑与环境之间的关系;从文脉出发,重视建筑的历史性,其作品与周围的文脉、与威尼斯地区的历史要素密切相关。此外,他的水元素的神奇设计手法和空间动线设计以及不规则的建筑思想也在斯坦普利亚基金会建筑修复设计中体现得淋漓尽致。     

圆面探测器对圆面源（非同轴）的几何因子的蒙特卡罗计算

用基本Monte Carlo方法计算了圆面探测器对均匀平行圆面源（两圆面中心轴线间距离为C）的几何因子,并且与圆面探测器对均匀同轴圆面源的几何因子进行了比较,探讨了两圆面中心轴线间距离C对几何因子的影响;为了检验本文方法及所编程序的好坏,选取C=0时的数据与多边形近似法进行了比较。并根据讨论的结果,提出了对实验操作的要求。     

Neumann展开Monte Carlo随机无网格伽辽金法的镗刀位移变异分析

本文用Neumann展开Monte Carlo随机无网格伽辽金法（NMC—SEFGM）进行了随机结构分析。在随机无网格伽辽金法中,所求解问题的域由分布的节点表示,并采用移动最小二乘函数近似试函数以及用罚函数法施加本质边界条件。同时利用Neumann展开法,建立了随机结构分析的Neumann展开Monte Carlo随机无网格伽辽金法,并应用于镗刀杆工作位移的变异分析。数值实例表明Neumann展开Monte Carlo随机无网格伽辽金法适用于材料变异系数大和要求精度高的随机结构分析。