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Some Inequalities for Simplices and Their Applications

Some Inequalities for Simplices and Their Applications
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摘要 Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten. Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten.
作者 杨世国
出处 《Northeastern Mathematical Journal》 CSCD 2005年第2期221-226,共6页 东北数学(英文版)
基金 The NSF (2003kj080) of Anhui Province.
关键词 SIMPLEX VOLUME pedal simplex INEQUALITY simplex, volume, pedal simplex, inequality
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