垂直关系 meaning in English

uand down relationship
vertical relation

Orthogonal matrixes have special structures , and every row vector of them can be taken as a plot , which may be parametrized in n - sphere space . through the research of structures of orthogonal matrixes , the writer finds a parametrized matrix , which can express all the orthogonal matrixes . through analysing uprightness between related high - order planes and the number of required parameters , we get the maturity of this method
自然的,这些点可以用其球坐标,即与各坐标轴的夹角来参数化,作者通过观察正交矩阵的几何结构,最终找到了任意维数的随机正交矩阵的参数表示方法,通过分析相关超平面之间的垂直关系和参数化正交矩阵需要的参数个数,论证了这种表示的完备性。