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

NY Lost Funds



whaleofconfusionmathworld's definition is way too informal and so is wikipedia's
my textbook is formal enough but flat out wrong
mankind_tweezerWhich textbook?
whaleofconfusionComplex Variables and their applications by Anthony d. Osborne
tenetdid not Newton have a formula for that?
mankind_tweezerI think it's a little subtle to define it... do you have the notion of Riemann surface, or multivalued function?
TRWBWjohn_sheu: yeah it's cheating. but still good to know.
korhalftenet: u give up on me?
haha
whaleofconfusionI have multivalued functions, not Reimann surfaces yet
I mean there's an informal blurb on them but nothing concrete
mankind_tweezerI'm trying to come up with a definition.
You know the idea, I guess?
whaleofconfusionI do not know the idea until I have a formal definition
mankind_tweezerOK, OK.
whaleofconfusionI have a vague notion
korowhaleofconfusion: i thought that someone already mentioned that your book's definition sounds good if you ask the loop to besmall enough
whaleofconfusionyeah someone said that but I'm not sure I believe them yet
korowhy?
korhalfwow this channel is full of bitches
thanks for the help homos
keep discussing the cycles in ur cpus
fuck
mankind_tweezerSuppose 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.
tenetkorhalf: said 'tenet: u give up on me?' No Way .. unlike others .. i will be here until .. to help.
whaleofconfusionI do not know the term "total analytic continuation"
mankind_tweezerOr better yet, just suppose you're given a multivalued function, never mind where it came from.
whaleofconfusionok
say, log
tenetmay i humbly suggest (from experience) that you ask politely?
whaleofconfusiontenet: he already quit
mankind_tweezerThen 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_sheuthe guy just left
and I did his derivative for him
whaleofconfusionI believe that's the same as my book's definition
it doesn't seem to explain why 1 is not a branch point of log
simply choose a disk of radius 2
and let the loop go around the origin as well as around 1
mankind_tweezerEh, say "EVERY loop"
whaleofconfusionok

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NY Lost Funds