Inequalities for a simplex and the number e |
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Authors: | Francine Abeles |
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Affiliation: | (1) Kean College of New Jersey, 07083 Union, N.J.;(2) Courant Institute of Mathematical Sciences, NYU, USA |
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Abstract: | An n-dimensional form of Winternitz's Theorem for convex sets in En can be related to a standard inequality for e. The object of this note is to prove two inequalities for n-dimensional simplexes that can be related to the basic inequalities (1+1/n)n < e < (1+1/n)n+1.The author wishes to thank Leon Gerber, St. John's University for his beneficial suggestions. |
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