Tag Archives: Arithmetic Geometric

e versus pi expoenents

Posted on January 2, 2015 by Sumant Sumant

Which is bigger or To answer this first take a look at the power series of . Now if then . We notice that  or . Therefore choosing we get . Polya used this idea to prove AM-GM inequality So we can … Continue reading →

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Arithmetic Geometric Inequality

Posted on December 30, 2014 by Sumant Sumant

This is a famous inequality that one should know. The case for two numbers is really easy The case for 4 variables is also pretty straight forward The case for 3 variables is a little bit tricky but can be … Continue reading →

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