http://sputsoft.com/blog Mathematics and Computer Programming Wed, 08 Sep 2010 09:18:01 +0000 en hourly 1 http://wordpress.org/?v=3.0.1 http://sputsoft.com/blog/2010/02/visualizing-the-pythagorean-theorem.html http://sputsoft.com/blog/2010/02/visualizing-the-pythagorean-theorem.html#comments Sun, 14 Feb 2010 12:13:18 +0000 sput http://sputsoft.com/?p=1183 http://sputsoft.com/blog/2010/02/visualizing-the-pythagorean-theorem.html/feed 3 http://sputsoft.com/blog/2009/08/on-the-divergence-of-a-geometric-progression-sum.html http://sputsoft.com/blog/2009/08/on-the-divergence-of-a-geometric-progression-sum.html#comments Fri, 28 Aug 2009 15:50:28 +0000 sput http://sputsoft.com/?p=682 s_r = \sum_{k=0}^\infty r^k = 1 + r + r^2 + r^3 + \ldots, where r here is a complex number. For what values of r does this infinite sum make sense? Can we find a closed-form expression for s_r in such cases?]]> http://sputsoft.com/blog/2009/08/on-the-divergence-of-a-geometric-progression-sum.html/feed 1 http://sputsoft.com/blog/2008/10/nice-geometric-progression-proof.html http://sputsoft.com/blog/2008/10/nice-geometric-progression-proof.html#comments Wed, 08 Oct 2008 20:58:26 +0000 sput http://sputsoft.com/wp/?p=25 s_r = \sum_{k=0}^\infty r^k = 1 + r + r^2 + r^3 + \ldots, for 0 < r < 1. The goal is to find a closed-form expression for s_r [...]]]> http://sputsoft.com/blog/2008/10/nice-geometric-progression-proof.html/feed 17