tag:blogger.com,1999:blog-11295132.post115582909486668139..comments2024-02-24T01:46:31.188-08:00Comments on A Neighborhood of Infinity: What can we measure? Part IIsigfpehttp://www.blogger.com/profile/08096190433222340957noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-11295132.post-1156266366012268052006-08-22T10:06:00.000-07:002006-08-22T10:06:00.000-07:00kim-ee,In twos-complements, 111...=-1. The series ...kim-ee,<BR/><BR/>In twos-complements, 111...=-1. The series converges in the 2-adic metric. But the next day a physicist might use the 3-adic metric, and the next day they might sum a^n where a isn't an integer and so on.<BR/><BR/>I know the Koblitz book. The proof of the von Staudt-Clausen Theorem in it is very beautiful.<BR/><BR/>BTW The guy Baez credits for the wacky alternative way to sum 1+2+3+... is in fact me :-)sigfpehttps://www.blogger.com/profile/08096190433222340957noreply@blogger.comtag:blogger.com,1999:blog-11295132.post-1156177908593040502006-08-21T09:31:00.000-07:002006-08-21T09:31:00.000-07:00alpheccar,I guess you're talking about this stuff....alpheccar,<BR/><BR/>I guess you're talking about <A HREF="http://arxiv.org/abs/hep-th/9808042" REL="nofollow">this</A> stuff. That looks really intriguing. Much of it seems over my head but I've a hunch there are some parts that I night be able to make sense of.sigfpehttps://www.blogger.com/profile/08096190433222340957noreply@blogger.com