摘要
Rn中的单纯形是具有n+1个顶点的多面体,若考虑到顶点的顺序,则是有序单纯形。从有序单纯形的几何直观背景出发,给出有序单纯形的带符号体积,以定义n个n维向量所构成的矩阵的行列式运算,并得出相应的性质。这是有别于长期以来所使用的抽象式定义,它的引入比较自然、直观。如果用于教学用书中的定义,会更实用,更有效。
The Simplex in nordered R is a polyhedron with n+1 vertexes. If analyzed from the order of its vertexes,it is order simplex.In this paper, based on the simplex's geometry background the authors express the signed volume of an ordered simplex.The signed volume is used to define the determinant computation of the matrix that consists of n ndimensional vectors. Some useful properties are also concluded.
出处
《桂林电子工业学院学报》
2003年第3期92-94,共3页
Journal of Guilin Institute of Electronic Technology
