北京理工大学数学与统计学院成立于2011年6月,原名为北京理工大学数学学院,2013年10月更名为北京理工大学数学与统计学院,学院前身是北京理工大学理学院数学系。北京理工大学数学与统计学院是培养高水平基础研究和应用基础研究数学人才和统计学人才的基地。1981年获批国务院学位委员会首批应用数... [详细]
作者: 闫志忠 (北京理工大学 数学与统计学院)
出处: 教育教学论坛 2022 第28期 P135-138
关键词: OBE理念;数学分析;项目制;教学模式
摘要: 针对目前国内大类书院制培养下的“数学分析”教学面临的突出问题,基于OBE理念,提出以项目为载体,以数学为工具的“数学分析”项目制课程教学模式,将“数学分析”教学与专业课程进行有机结合。根据学生的专业要求更新教学内容,坚持分层次教学,通过制订不同的教学大纲,开展专题研究,合理决定教学侧重点等措施,使“ ...
作者: 赵阳,徐厚宝,曹春雷 (北京理工大学数学与统计学院)
出处: 大学数学 2022 第4期
关键词: 课程思政;学习动机;大学数学
摘要: 关注学习动机理论和课程思政中的情感因素,从学习动机理论视角构建大学数学中的课程思政,依据几种当代的学习动机理论,根据课程特点挖掘课程思政元素,促使价值观内化于学生的心中,促进学生的深度学习.
作者: 蔡亮,赵颖 (北京理工大学数学与统计学院)
出处: 高等数学研究 2022 第25卷 第4期 P66-67
关键词: 条件概率;条件期望;卡尔曼滤波
摘要: 提出条件概率与条件期望的两个典型例题.一个是受启发于一类经常出现于社交媒体中有争议的论述,一个是根源于工程实践中的卡尔曼滤波问题.通过这两个例题,可以帮助学生更好地理解条件概率与条件期望的本质,并应用于解决生活与工程实际中遇到的问题.
作者: Kong, Yingying2;Jiang, Lining1; (1 Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China. ;2 Huanghuai Univ, Sch Math & Stat, Zhumadian 463000, Peoples R China.)
出处: OPEN MATHEMATICS 2022 Vol.20 No.1 P1394-1406
关键词: BANACH ALGEBRA; WEYL SPECTRUM; INDEX; PERTURBATIONS; OPERATORS; THEOREM
摘要: Let A be a unital primitive C*-algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements ...
作者: Li, Yu1;Xie, Manting2;Xiong, Chunguang3; (1 Tianjin Univ Finance & Econ, Coordinated Innovat Ctr Computable Modeling Manag, Tianjin 300222, Peoples R China. ;2 Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China. ;3 Beijing Inst Technol, Dept Math, Beijing Key Lab Math Characterizat Anal & Applica, Beijing 102488, Peoples R China.)
出处: JOURNAL OF SCIENTIFIC COMPUTING 2022 Vol.93 No.3
关键词: FINITE-ELEMENT APPROXIMATIONS; A-PRIORI; ORDER CONVERGENCE; ERROR ANALYSIS; LOWER BOUNDS; DISCRETIZATION; EXTRAPOLATION; POSTERIORI
摘要: In this paper, we consider the numerical approximation of a biharmonic eigenvalue problem by introducing a new family of the mixed method. This method ...
作者: Fang, Yibin1;Xiong, Liming2; (1 Beijing Inst Technol, Sch Math & Stat, Beijing 102488, Peoples R China. ;2 Beijing Inst Technol, Beijing Key Lab MCAACI, Sch Math & Stat, Beijing 102488, Peoples R China.)
出处: DISCRETE MATHEMATICS 2022 Vol.345 No.7
关键词: SUBGRAPHS; CLOSURE
摘要: For a set H & nbsp;of connected graphs, a graph G is said to be H-free if G does not contain any member of H & nbsp;as an induced subgraph. When |H|= ...
作者: Zhong, Yu1;Wu, Xin1;Sostak, Alexander2;Shi, Fu-Gui3; (1 North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China. ;2 Univ Latvia, Inst Math & Comp Sci, LV-1459 Riga, Latvia. ;3 Beijing Inst Technol, Sch Math & Stat, Beijing 102488, Peoples R China.)
出处: MATHEMATICS 2022 Vol.10 No.7
关键词: FUZZY TOPOLOGY; POINT
摘要: Recently, the notion of a classical k-metric, which make the triangle inequality to a more general axiom: d (x, z) <= k(d (x, y) + d (y, z)), has been ...
作者: Liu Chao1;Zhang Huiming2,3;Yan Jing4 (1Department of Statistics and Data Science,Southern University of Science and Technology, Shenzhen, 518055;2pepartment of Mathematics,Faculty of Science and Technology,University of Macau, Macau;3UMacau Zhuhai Research Institute, Zhuhai;4School of Mathematics and Statistics,Beijing Institute of Technology, Beijing)
出处: Communications in Mathematical Research 2022 第38卷 第1期 P81-98
关键词: Survey sampling;semi-supervised inference;model-assisted estimator;Horvitz-Thompson estimator;functional linear regression
摘要: Few studies focus on the application of functional data to the field of design-based survey sampling. In this paper, the scalar-on-function regression ...
作者: Gong, Rongfang1, 2; Wang, Min1; Huang, Qin3; Zhang, Ye3, 4 (1School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing; 211106, China;2Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA), MIIT, Nanjing; 211106, China;3School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China;4Shenzhen MSU-BIT University, Shenzhen; 518172, China)
出处: arXiv 2022
作者: Hu, Jun1; Liang, Yizhou1; Ma, Rui2; Zhang, Min3, 4 (1LMAM, School of Mathematical Sciences, Peking University, Beijing; 100871, China;2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China;3Computational Science Research Center, Beijing; 100193, China;4School of Mathematical Sciences, Peking University, Beijing; 100871, China)
出处: arXiv 2022