tag:blogger.com,1999:blog-264226589944705290.post2307188199009815482..comments2024-09-25T08:51:01.854-07:00Comments on God Plays Dice: Using generating functions to prove that the only sequences which are their own sequence of running averages are the constant sequencesMichael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-264226589944705290.post-1501607217757673552011-09-24T17:18:21.158-07:002011-09-24T17:18:21.158-07:00How is any of this generating function witchcraft ...How is any of this generating function witchcraft justified without falling back to an elementary proof that the sequence is constant? (Ie. you might want to assume f(z) has a non-zero radius of convergence, but why?)joe randomhttps://www.blogger.com/profile/08718131036428499590noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-11379787335281854492011-09-21T16:49:59.643-07:002011-09-21T16:49:59.643-07:00In the last equation a minus is missed:
log f(z) =...In the last equation a minus is missed:<br />log f(z) = <b>-</b>log(1-z) + CAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-65854804713191083022011-09-20T20:03:31.411-07:002011-09-20T20:03:31.411-07:00Michael and Jonathan: you're right, but I neve...Michael and Jonathan: you're right, but I never claimed this was the most efficient method. Charles: I haven't given that talk in a while.Michael Lugohttps://www.blogger.com/profile/01950197848369071260noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-38679743258911331712011-09-20T20:02:15.667-07:002011-09-20T20:02:15.667-07:00This needs to be added to your "Generating Fu...This needs to be added to your "Generating Functions are Awesome" talk. Right this second. Hell, I use partitions of integers sometimes, and this seems cooler than that stuff as an example...Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-19925512092082390192011-09-20T17:36:37.949-07:002011-09-20T17:36:37.949-07:00Let me fix that for you...
Nuclear arsenal of hyp...Let me fix that for you...<br /><br />Nuclear arsenal of hyper advanced alien civilization askign about R(6,6) meet nut.Anonymoushttps://www.blogger.com/profile/10716393385703376978noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-74572955566277801932011-09-20T16:52:21.489-07:002011-09-20T16:52:21.489-07:00Sledgehammer, meet nut. :)Sledgehammer, meet nut. :)Michael Alberthttps://www.blogger.com/profile/06406323435945694109noreply@blogger.com