2007•Journal of Taiyuan University of Science and TechnologyRequires access

Two Inequalities for Pedal Simplexes and Applications

Yang Shi-guo

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Abstract

In this paper,we study the problems of geometric inequalities for a n-dimensional simplex in the n-dimensional Euclidean space by the theory and methods of the distance geometry.Two new geometric inequalities are esbablished.As special cases,the n-dimensional Euler inequality and its generalization are obtained.

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In this paper,we study the problems of geometric inequalities for a n-dimensional simplex in the n-dimensional Euclidean space by the theory and methods of the distance geometry.Two new geometric inequalities are esbablished.As special cases,the n-dimensional Euler inequality and its generalization are obtained.

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Available abstract

In this paper,we study the problems of geometric inequalities for a n-dimensional simplex in the n-dimensional Euclidean space by the theory and methods of the distance geometry.Two new geometric inequalities are esbablished.As special cases,the n-dimensional Euler inequality and its generalization are obtained.

Key concepts: Simplex, Mathematics, Euclidean space, Inequality, Generalization, Euclidean geometry, Euler's formula, Space (punctuation)

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