摘要
逆变与协变是矢量坐标变换的两个重要概念.现行教科书大多缺乏对其内涵的细致解释.通过对标架变换、坐标变换的演绎,给出了逆变与协变的解析关系,并以图示明确地描述了二者之间的关系.
Covariance and contravariance are two important concepts while the subtle and clear interprets on the two conceptation is absent in most textbooks. We present the analytic relationship between two transformations of covariance and contravariance via frame and coordinate transformations. A description with picture is also shown for the relationships between the two concepts.
出处
《长沙大学学报》
2006年第2期5-7,共3页
Journal of Changsha University
基金
国家自然科学基金(批准号:50175106)
广东省自然科学(批准号:04021250)
湖南大学现代车身技术教育部重点实验室开放基金(批准号:HU200502)项目资助
关键词
数学与力学
向量
协变与逆变
线性变换
mathematics and mechanics
vectors
covariance and contravariance
,linear transformation
