2014•Journal of Inequalities and ApplicationsOpen access

Inequalities for an n-simplex in spherical space S n ( 1 )

Yang Shi-guo, Wen Wang, Bian Ge

Abstract

For an n-dimensional simplex and any point D in spherical space , we establish an inequality for edge lengths of and distances from point D to faces of , and from this we obtain some inequalities for the edge lengths and the in-radius of the simplex . Besides, we establish some inequalities for the edge lengths and altitudes of a spherical simplex, and we establish inequalities for the edge lengths and circumradius of . MSC:51M10, 52A20, 51M20.

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Key concepts: Mathematics, Simplex, Enhanced Data Rates for GSM Evolution, RADIUS, Geometry, Point (geometry), Space (punctuation), Combinatorics