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2007•Ludong University JournalRequires access

Generalizations and Applications of Two Classes Inequalities Involving Interior Point of a Simplex

Yang Shi-guo

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Abstract

Two inequalities concerning the interior point of a n-dimensional simplex,the circumradius and the inradius were obtained by using analytic method and theory of geometric inequalities.Some applications were given and the dimensional Euler inequality was extended.

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What this paper is about

Two inequalities concerning the interior point of a n-dimensional simplex,the circumradius and the inradius were obtained by using analytic method and theory of geometric inequalities.Some applications were given and the dimensional Euler inequality was extended.

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Available abstract

Two inequalities concerning the interior point of a n-dimensional simplex,the circumradius and the inradius were obtained by using analytic method and theory of geometric inequalities.Some applications were given and the dimensional Euler inequality was extended.

Key concepts: Incircle and excircles of a triangle, Simplex, Mathematics, Inequality, Interior point method, Euler's formula, Point (geometry), Applied mathematics

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Generalizations and Applications of Two Classes Inequalities Involving Interior Point of a Simplex — Research Paper | ScholarLens