#math - Fri 30 Mar 2007 between 00:00 and 00:09

NY Lost Funds

 whaleofconfusion mathworld's definition is way too informal and so is wikipedia'smy textbook is formal enough but flat out wrong mankind_tweezer Which textbook? whaleofconfusion Complex Variables and their applications by Anthony d. Osborne tenet did not Newton have a formula for that? mankind_tweezer I think it's a little subtle to define it... do you have the notion of Riemann surface, or multivalued function? TRWBW john_sheu: yeah it's cheating. but still good to know. korhalf tenet: u give up on me?haha whaleofconfusion I have multivalued functions, not Reimann surfaces yetI mean there's an informal blurb on them but nothing concrete mankind_tweezer I'm trying to come up with a definition.You know the idea, I guess? whaleofconfusion I do not know the idea until I have a formal definition mankind_tweezer OK, OK. whaleofconfusion I have a vague notion koro whaleofconfusion: i thought that someone already mentioned that your book's definition sounds good if you ask the loop to besmall enough whaleofconfusion yeah someone said that but I'm not sure I believe them yet koro why? korhalf wow this channel is full of bitchesthanks for the help homoskeep discussing the cycles in ur cpusfuck mankind_tweezer Suppose given a function f(z) in some domain of the complex plane -- then there is a notion of the "total analytic continuation" of f, right? It might be multivalued. tenet korhalf: said 'tenet: u give up on me?' No Way .. unlike others .. i will be here until .. to help. whaleofconfusion I do not know the term "total analytic continuation" mankind_tweezer Or better yet, just suppose you're given a multivalued function, never mind where it came from. whaleofconfusion oksay, log tenet may i humbly suggest (from experience) that you ask politely? whaleofconfusion tenet: he already quit mankind_tweezer Then you would say z_0 is a "branch point" of f if f(z) is defined on some disc containing z_0, and if following a loop inside that disc around z_0 takes you from one branch to another branch of f(z) john_sheu the guy just leftand I did his derivative for him whaleofconfusion I believe that's the same as my book's definitionit doesn't seem to explain why 1 is not a branch point of logsimply choose a disk of radius 2and let the loop go around the origin as well as around 1 mankind_tweezer Eh, say "EVERY loop" whaleofconfusion ok