n维单形中一个(n-1)重向量恒等式及其应用

An Identity of (n1)-Vector in n-Simplex and Its Application

证明了En中n维单形的一个(n1)重向量恒等式,并应用它得到了n维单形的中面面积公式,进而给出了n维单形的中面面积与二面角平分面面积之间的一个不等式.

An identity ralate to (n1)vector in nsimplex in En is proved, and by appling the identity, the area formula concerning the central plane of the nsimplex is obtained. And then, an inequality associated with the central planes area and the bisction planes area of dihedral angle of nsimplex is proved.