Problems on Stewart formula and inequalities for the areas of the bisection planes of the dihedral angles of a simplex are studied with the theory and method of distance geometry. Stewart formula and some inequalities...Problems on Stewart formula and inequalities for the areas of the bisection planes of the dihedral angles of a simplex are studied with the theory and method of distance geometry. Stewart formula and some inequalities for the areas of the bisection planes of the dihedral angles of a simplex in nE are established.展开更多
We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequaliti...We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequalities for even isotropic measures and its dual form as special cases.展开更多
基金Funded by the Natural Science Foundation of Anhui (2004kj104).
文摘Problems on Stewart formula and inequalities for the areas of the bisection planes of the dihedral angles of a simplex are studied with the theory and method of distance geometry. Stewart formula and some inequalities for the areas of the bisection planes of the dihedral angles of a simplex in nE are established.
基金supported by National Natural Science Foundation of China (Grant No. 11271244)Shanghai Leading Academic Discipline Project (Grant No. S30104)
文摘We establish the mean width inequalities for symmetric Wulff shapes by a direct approach.We also yield the dual inequality along with the equality conditions.These new inequalities have Barthe’s mean width inequalities for even isotropic measures and its dual form as special cases.