电磁感应中的同时性

本文讨论电磁感应在惯性系变换中的同时性.     

关于Sobolev插值不等式

给出了Sobolev插值不等式的一种简便推导公式．     

Bloch型空间上的Volterra算子

讨论了单位圆上从对数Bloch空间B_L到Bloch空间的Voleterra算子的有界性和紧性,得到了刻画其有界性和紧性的充分必要条件.     

Social learning spaces and student engagement

Notable gains have been made in understanding the factors that influence the student experience in higher education, particularly in the area of student engagement. While tremendous effort has been focused on identifying educationally beneficial activities for students, we must also consider where these activities are occurring. In recent years there have been technological advances that have paved the way for blended learning environments, however, physical learning environments continue to dominate the functionality of many universities. The development of purpose‐built informal social learning spaces as a strategy to enhance the student experience is becoming more prevalent, although empirical research in this area is lacking. This study explores the role of social learning spaces on the student experience using the student engagement framework within a qualitative research design. Informal interviews with 103 students were conducted within a social learning space. Findings reveal that social learning spaces can contribute to enhanced student engagement by fostering active learning, social interaction and belonging amongst tertiary students. The study also suggests that design is a contributing factor to students' perceptions of social learning spaces.     

相似线性变换及其性质

采用类比的方法,研究了线性变换的相似关系,给出了相似线性变换的基本性质以及特征定理。     

基于拟赋范空间的vx,y映射

通过对含有几何常数C的拟赋范线性空间中的映射vx,y（t）=（‖x＋ty‖-‖x‖）/t的研究,得到了vx,y映射在拟赋范线性空间中所满足的不等式,并且在进一步论证过程中得到了关于拟赋范线性空间三角不等式‖x＋y‖≤C‖x‖＋C‖y‖的推广。     

Maxwell方程组建立的探讨

从狭义相对论来看,运动电荷的电磁场效应应该是静止电荷的静电效应经历时空坐标变换得到的结果,所以描述电磁效应的方程组可以从静电现象通过相对论时空变换关系——洛仑兹变换得到,本文对此进行了证明。     

协变形式电磁场方程

基于通常形式Maxwell方程组给出四维协变形式方程组;然后基于四维协变方程组,在真空状态下根据Lorentz不变推得真空条件下Maxwell方程组．借助Lagrange表述与Hamilton表述间Legendre变换,定义了协强张量,展开式说明是四维能流密度张量,最后给出四维协变形式的能量动量守恒定律．     

带粗糙核的Marcinkiewicz积分交换子在加权Morrey-Herz空间上的有界性

引进了一类Morrey-Herz函数空间,利用带粗糙核的Marcinkiewicz积分算子与BMO（Rn）函数生成的交换子μΩ,b（f）（x）在加权Lp空间上有界性,证明了它在更广泛的一类空间即加权Morrey-Herz空间MKp,α,qλ（Rn）上的有界性.     

四维Lorentz变换的一般形式

本文利用Clifford几何中向量运算规则,给出了四维Lorentz变换的一般形式。