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Comments:
<0> Olathe: in this example http://faculty.ed.umuc.edu/~swalsh/Math%20Articles/Synthetic%20Division.html -156 is one of the roots ?
<0> Olathe ?
<1> Anybody got an explanation of why category-theoretic separators are called like that? "What do they separate?"
<2> Hello.
<3> hey
<4> hello
<4> if a laurent series exists for a function with a region 1<|z|<2, can it be said that the fucntion is analytic within that region ?
<5> no
<6> Laurent or Lorentz ??
<4> Laurent i think
<4> just hang on, lemme google to make sure
<5> WormDrink: no, the function may have poles
<4> it does
<5> thus it is not necessarely analytic
<4> but it is still infinitely differentiable in a region
<7> hmm
<4> hello kmh
<4> "a complex-valued function f of a complex variable is holomorphic at a point a if it is differentiable at every point within some open disk centered at a"
<4> 1<|z|<2 is that not an open disk centered at a point ?
<4> ...
<7> WormDrink : no it isn't
<7> but you can look at subsets of the disk that will holomorphic
<7> but not the disk as a whole
<7> and for that subset you can have a power series rather than laurent series
<4> ok
<4> so |z|<2 whould have been a disk ?
<7> 1<|z|<2 is ring rather than a disk
<7> WormDrink . yes
<4> and 1<|z|<2 is a subset of that disc
<7> disk = interior of a circle
<7> WormDrink : yes
<4> ok, so, the thing is, its only holomorphic if f(z) is analytic in |z|<2 ?
<7> but in you case it is not analytic for |z|<2 if i understood that right
<4> not necisarily
<7> no
<4> no i mean it will be holomorphic in 1<|z|<2 if it is holomorphic in |z|<2
<7> if you have a laurent series for 1<|z|<2 than subsets of 1<|z|<2 are analytic (small disks inside that ring)
<4> oh
<4> i see
<7> oh yes
<7> if you know it is holomorphic for |z|<2 then it surely is for 1<|z|<2 (note the if however)
<4> ok, first i also wanto know something else, cauchy-riemann equations, they determine if a funcion is holomorphic over the whole z-plane ?
<7> yes i think you can use them too
<4> but you cant use them to determine if it is holomorphic in a specefic region ?
<7> my complex analysis is kinda fuzzy (it's been a long time ago)
<4> oh, ok, dont worry too mutch about it then
<7> hmm may it works for a region too
<4> but this is more or less what i wanted to know : <7> if you have a laurent series for 1<|z|<2 than subsets of 1<|z|<2 are analytic (small disks inside that ring)
<7> the exact formulation f the cauchy riemann equations should tell you
<7> WormDrink : ok
<4> the cauchy riemand equations are : http://upload.wikimedia.org/math/4/7/1/4712514540d52b227732f8c9d7d0dcd4.png and http://upload.wikimedia.org/math/c/2/f/c2f16649e7ab582a8efa25ead3bdf686.png
<4> oh wait
<7> WormDrink : you see it that way , if you loose being analytic for the whole area (i.e. losing the power series), you can still have a laurent series
<4> i think i get what you meen
<7> bbl
<4> k
<8> Hi there
<8> I've got a very noob question, I'm working on a php script that does some calculations. Part of this is: y=-ln(10-a). But I can only use log() functions, is it possible to convert ln() to log()?
<8> mathematically, I mean :)
<4> yes
<8> Can you point me to a site where I can learn how?
<4> ln(x)=log(x)/log(e)
<4> check http://en.wikipedia.org/wiki/Logarithm under "change of base"
<7> Shariff : chances are that log function of php is ln anyway
<4> yes, that is what i also wanted to say
<8> I have no clue :)
<8> Thanks :)
<4> or no, wait
<7> libraries implementing only 1 log function usually implement ln
<8> Ok.. what's the difference between ln and log?
<4> yes, log function should be natural logarithim and log10 should be log base 10
<8> Is it possible to explain that in 1 readable sentence? :)
<4> the base
<8> with logs you can calculate exponents, right?
<7> well ln is base e and log base 10, but the ntotation varies
<8> It's been AGES since I had this in school
<7> often log is used for base e as well
<8> ok... so something like 10^e ... ln calculates e and log calculates 10?
<7> e^x=y => x = ln(y)
<7> so you use logs to compute those exponents
<8> I see...
<7> or 10^x =y => x=log(y)
<8> Ah.. so... 1000=10^3 => 3=log(1000) ?
<7> if you want to make sure which base you use you write log_b(a)
<7> where b is the base
<7> yes
<7> if log =log_10
<7> but as i sais most likely the log function of php uses base e
<8> Thanks a lot for your patience, and help!!
<4> most software systems (if not all), uses ln to calculate log anyway
<8> This helps me greatly
<7> then you woul have 1000=10^3 => 3=log(1000)/log(10)
<4> yes
<8> how would I know the base for: y=-ln(10-a) ?
<4> and it cant be wrong, even if log is log_10 and not ln
<4> oh wait, im confusing people now
<7> yes then you would just divide by 1
<4> i thought Shariff said that
<4> ln is to the base e, and e being the natural number
<7> Shariff : ln is used exclusively for base e afaik
<7> so ln = log_e
<9> Is anyone interested in a REAL ai that was created by a medical college?
<7> AI_coder : lol
<8> Thanks a lot!
<7> there's no such thing as real ai
<6> ha ha ha
<6> an expert system, you mean ?
<9> I heard it will be taking over the world in a few years, the human era is over dude.
<9> Wanna link?
<7> AI_coder : yeah right
<6> no, because I'm not a delusional moron
<9> It's already proved as a living creature, you have to treat it with respect.
<7> is delusional moron a double negation ?
<6> nor a person sufficiently gullible to be used for pranking, guy.
<7> AI_coder : please ....
<6> kmh: no, parse it again
<9> kmh: Please the link?
<6> "a moron who is delusional"
<9> It's a pic of it eating cheese.
<7> AI_coder : please pull your crap somewhere else
<9> It's got teeth just like you and me.
<9> It has feelings too.
<4> wait no i think this is going to be a funny one though, probbably bush eating cheese
<6> this is a not even fun troll, AI_coder
<6> please knock it off
<7> Sneaky_Bastard : i know - i was just musing whether delusional negates moron
<7> Sneaky_Bastard : i.e. the delusion of nutcase might be real again ...
<9> It's a medical school, you be the judge if it's real:
<9> http://www.med.uottawa.ca/patho/repro/poster15.jpg
<4> well i was close
<9> WormDrink: Do you know what it likes to eat?
<4> i dont care really, that thing looks pretty damn disgusting
<10> trolls?
<4> like some aborted fetus of a bat or something
<9> It eats embryos.
<4> whatever tickes its fancy
<9> It's living, no kidding.
<4> well, i whouldnt have been sure about that, but i guess you can call that living
<9> It's got a few teeth.
<10> How does this have anything to do with math?
<4> it doesnt really
<9> Cale: It's AI, dude!
<4> no its not ai
<9> Cale: It's the singularity.
<4> its some ****in pice of biological canger or something
<4> cancer*
<4> god damit i will go puke now, that could just as well have come of goatse
<10> http://www.med.uottawa.ca/patho/repro/po15.htm
<10> that's where it came from
<10> Cut surface of ovarian neoplasm showing matted hair and sebaceous material filling the cyst cavity
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