#math - Sun 29 Apr 2007 between 03:48 and 04:08

NY Lost Funds



TRWBWm|_|on: point? what kind of point would satisfy you?
hachiyasolve[x^3+1==10,x]
%solve[x^3+1==10,x]
m|_|onTRWBW: well what can it be used for?
TRWBWm|_|on: most people get through their lives never knowing about complex numbers, don't worry about it.
m|_|onTRWBW: well i've got to know about them.. it's part of my course.. so i was just wondering :)
thermoplyaeI believe their extension of R forms a field in which the FTA applies
Which is a good reason, imo
TRWBWany complex analysis is a lot better behaved than real analysis
m|_|oncomplex analysis of what?
TRWBWcalculus works more nicely, complex differentiably functions are all analytic, you have some nice integral properties
analysis=calculus
m|_|onyeh but you can never define j right?
so you never get an exact answer
:S
HiLanderwhat?
TRWBWm|_|on: you wanna look ahead, actually you define the complex numbers as quotient of polynomial ring over the reals by the ideal generated by the polynomial (x^2+1)
KasadkadAnd if it still bothers you you could just pretend you never heard of i and deal with R^2 equipped with a weird multiplication
HiLanderthat's not even the issue
TRWBWm|_|on: or you want to have some fun, define the complex number a+bi as the matrix [a,b;-b,a], then it's normal matrix addition and multiplication
m|_|onim first year engineering student so polynomial 'rings' etc are alien to me at the moment
HiLanderthe issue is that m|_|on has only seen the real numbers and is under the mistaken assumption that they're the *only* numbers
m|_|onohh wow.. thats smart
i like that TRWBW
HiLanderi is as much a number as 1, 3/2, or pi.
thermoplyaeSeriously, algebraic closure of R is a good answer
m|_|onmmm I guess it'll just take me a while to get my head around the concept
HiLanderreally, pi is much more complicated than i.
Kasadkadyeah
HiLandertranscendental numbers are a whole level of creepiness beyond i
TRWBWHiLander: how would you rate uncomputable numbers on the creep-o-meter?
HiLanderthey're even creepier
JabberWalkiewell...arn't there many more tranindental numbers that regular numbers?
m|_|ondo you all have degrees in maths related things or are you self taught?
JabberWalkie*than
or algebraic numbers rather...
HiLandernumbers you can't find using algebra are one thing. numbers you can't find at all, well, that's worse.
JabberWalkieso.....more transendental numbers means they should be considerd the norm.....its the algebraic numbers that are the freaks of nature....
TRWBWJabberWalkie: there are more insects than kittens on the planet. i find bugs creepier too.
JabberWalkiecuddly little buggy wuggies...

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NY Lost Funds