MaplePrimes - comments on Post, MRB constant P

MaplePrimes - comments on Post, MRB constant P http://www.mapleprimes.com/posts/125427-MRB-Constant-P en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Sat, 13 Jun 2026 18:47:10 GMT Sat, 13 Jun 2026 18:47:10 GMT The latest comments added to the Post, MRB constant P http://www.mapleprimes.com/images/mapleprimeswhite.jpg MaplePrimes - comments on Post, MRB constant P http://www.mapleprimes.com/posts/125427-MRB-Constant-P beautiful how the maximum http://www.mapleprimes.com/posts/125427-MRB-Constant-P?ref=Feed:MaplePrimes:MRB constant P:Comments#comment125473 We did let s:=x-><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=29cd0b17583fd0d7341937f147e58510.gif" alt="evalf(sum((-1)^n*(n^(x/n)-x), n = 1 .. infinity))">. I think it is beautiful how the maximums of the partial sums of s(x) at n= 5, 7, 9, and 11 together with the sum are so separated! I think I will have more to say about the partial sums of s, f and g and how they compare with each other this weekend.   plot([sum((-1)^n*(n^(x/n)-x), n = 1 .. 5), sum((-1)^n*(n^(x/n)-x), n = 1 .. 7), sum((-1)^n*(n^(x/n)-x), n = 1 .. 9), sum((-1)^n*(n^(x/n)-x), n = 1 .. 11), sum((-1)^n*(n^(x/n)-x), n = 1 .. infinity)], x = 1 .. 26, y = -150 .. 250)   <img class="plot" src="http://www.mapleprimes.com/MapleImage.ashx?f=2a83bee86bc0fef1fa693672747a6091.gif" alt="plot([sum((-1)^n*(n^(x/n)-x), n = 1 .. 5), sum((-1)^n*(n^(x/n)-x), n = 1 .. 7), sum((-1)^n*(n^(x/n)-x), n = 1 .. 9), sum((-1)^n*(n^(x/n)-x), n = 1 .. 11), sum((-1)^n*(n^(x/n)-x), n = 1 .. infinity)], x = 1 .. 26, y = -150 .. 250)"> The latest comments added to the Post, MRB constant P 125473 Thu, 08 Sep 2011 04:20:55 Z Marvin Ray Burns Marvin Ray Burns The partial sums of g and s do have a few http://www.mapleprimes.com/posts/125427-MRB-Constant-P?ref=Feed:MaplePrimes:MRB constant P:Comments#comment125535 We did let g:=x-> <img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=d0791b99ce84b8ced2fea7a4db7875be.gif" alt="evalf(sum((-1)^n*(n^(1/n)-x), n = 1 .. infinity))">; f:=x-><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=12608493e3c226a276eccebe53040304.gif" alt="evalf(sum((-1)^n*(n^(x/n)-1), n = 1 .. infinity))">;   and s:=x-><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=29cd0b17583fd0d7341937f147e58510.gif" alt="evalf(sum((-1)^n*(n^(x/n)-x), n = 1 .. infinity))">;   [Comment being edited.]  <a href="http://marvinrayburns.com">marvinrayburns.com </a> The latest comments added to the Post, MRB constant P 125535 Mon, 12 Sep 2011 01:51:38 Z Marvin Ray Burns Marvin Ray Burns