平面上保度量偏序的变换  

Transformation with keeping measurement order on plane

作　　者：邓伦治[1] 李湘[1] 欧阳建新[1] 张换玲[1] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵州贵阳550001

出　　处：《贵州师范大学学报（自然科学版）》2008年第1期85-87,共3页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州省科学技术基金资助项目((2007)2008)

摘　　要：通过平面上向量的欧氏长度,建立起平面上向量间的序关系。讨论了平面上能保持这种序关系的变换的代数结构。证明了能保持这种序关系的变换仅由伸缩变换、旋转变换和反射变换组成。According to the Euclid length of the vector on plane, the order relation about the vector on plane, is set up and the algebraic structure of transformations that can keep the order relation is studied. As a result , the transformations that can keep the order relation are made up of the flex transformation, circumgyrate transformation and reflect transformation.

关 键 词：交换 序关系 矩阵 半群 

分 类 号：O152[理学—数学]