摘要
将几何空间中的立体及其体积概念推广到n维Euclid空间中,利用向量对子空间的正交投影分解给出了平行体的计算公式和一系列性质,并将其应用于行列式的计算,得到相应的性质。
Some concepts of the solid and its volume in the 3 - dimensional geometry space have been generalized to n - dimensioned Euclidean spaces. By using decomposing of a vector into its projectional component and orthogonal component to a subspace, a formula and some properties of the n - dimensional parallel - solid have been found.
出处
《长江大学学报（社会科学版）》
2003年第5期16-18,共3页
Journal of Yangtze University（Social Sciences Edition）
关键词
EUCLID空间
投影分量
正交分量
n维平行体
体积
Euclidean spaces
projectional component
orthogonal component
n - dimensional parallel - solid
volume
