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Improved Inclusion-Exclusion Inequalities for Simplex and Orthant Arrangements
Orthant Arrangments Inclusion-Exclusion
2008/7/1
Improved inclusion-exclusion inequalities for unions of sets are available wherein terms usually included in the alternating sum formula can be left out. This is the case when a key abstract tube con...
In this paper, we study a problem of geometric inequalities for an n-simplex. Some new geometric inequalities for a simplex are established. As special cases, some known inequalities are deduced.
Inequalities for Inscribed Simplex and Applications
Simplex Inscribed simplex Inradius Circumradius Inequality
2008/7/1
In this paper, we study the problem of geometric inequalities for the inscribed simplex of an n-dimensional simplex. An inequality for the inscribed simplex of a simplex is established. Applying it we...