tag:blogger.com,1999:blog-5376628436133716219.post4567909056958302162..comments2021-08-24T18:39:54.377-07:00Comments on Why I hate physics: Ramanujan and the Casimir EffectMarty Greenhttp://www.blogger.com/profile/17624084719249673373noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-5376628436133716219.post-87421882818972598322013-02-19T20:42:06.355-08:002013-02-19T20:42:06.355-08:00Thanks, Grebdlogj. I had no idea why it worked...I...Thanks, Grebdlogj. I had no idea why it worked...I had just figured it out experimentally by adding it up in Excel. I'm gratified that you approve (I think!) of my analysis.Marty Greenhttps://www.blogger.com/profile/17624084719249673373noreply@blogger.comtag:blogger.com,1999:blog-5376628436133716219.post-6719957678635428512013-02-19T02:15:27.240-08:002013-02-19T02:15:27.240-08:00regarding the alternating series, it is easier to ...regarding the alternating series, it is easier to demonstrate why putting a Gaussian envelope causes it to add up to 0.25.<br />consider the series 1/(1-x)^2=1+2x+3x^2+4*x^3+...<br />if you insert x=-1, you get the alternating series on the r.h.s., which is of course meaningless, but if you instead insert a value close to -1, eg x=-0.99, on the left hand side you'll get a value even closer to 0.25grebdlogjhttps://www.blogger.com/profile/05885088107213128303noreply@blogger.com