tag:blogger.com,1999:blog-33042626.post3452670287617973248..comments2008-04-29T13:31:40.134-07:00Comments on Paul Buchheit: 1 - 2 + 3 - 4 + 5 - 6 + ... made easyPaul Buchheithttp://www.blogger.com/profile/08521809827597159995noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-33042626.post-77056967169823267132007-05-04T08:57:00.000-07:002007-05-04T08:57:00.000-07:00For the sum of integers to be a fraction, mathemat...For the sum of integers to be a fraction, mathematicians have to be insane. Don't trust mathematicians.Amithttps://www.blogger.com/profile/12159325271882018300noreply@blogger.comtag:blogger.com,1999:blog-33042626.post-76143975749373776602007-04-24T23:49:00.000-07:002007-04-24T23:49:00.000-07:00gnuplot. It's actually not very good, but it's all...gnuplot. It's actually not very good, but it's all I know...Paul Buchheithttps://www.blogger.com/profile/08521809827597159995noreply@blogger.comtag:blogger.com,1999:blog-33042626.post-63986884347092714372007-04-24T23:39:00.000-07:002007-04-24T23:39:00.000-07:00What tool did you use to generate your graph? It'...What tool did you use to generate your graph? It's quite nice looking.Anonymoushttps://www.blogger.com/profile/04588117842900240063noreply@blogger.comtag:blogger.com,1999:blog-33042626.post-88449502631045261402007-04-16T22:05:00.000-07:002007-04-16T22:05:00.000-07:00You can't arbitrarily move around terms in an infi...You can't arbitrarily move around terms in an infinite series. Such moving around can change the convergence properties and can also change the final valueAshwinhttps://www.blogger.com/profile/13405146460601559127noreply@blogger.comtag:blogger.com,1999:blog-33042626.post-76420474314816942992007-04-15T15:07:00.000-07:002007-04-15T15:07:00.000-07:00Is there something wrong with the following analys...Is there something wrong with the following analysis?<BR/><BR/>A simple rewrite of the sequence intuitively shows that the sum does not converge:<BR/><BR/>We could rewrite this as:<BR/><BR/>1- (2-3) - (4- 5) - (6-7)...<BR/><BR/>= 1 - (-1) - (-1) - (-1).......<BR/><BR/>= 1 + 1 + 1 ......<BR/><BR/>Of course the sum does not converge. Adding 1 infinite times is infinite.<BR/><BR/><BR/>If the sequence were finite, I believe we can come up with a function to compute the sum as a function of the number of elements, right????Manojhttps://www.blogger.com/profile/08680789362388063736noreply@blogger.com