Math Question
| Good [+1]Toggle ReplyLink» moondancer replied on Mon Jan 23, 2006 @ 6:51am |
 Coolness: 92240 | If you are looking for the sum of an infinite series with N=infinity, what is the equation to quickly find the point of convergence? |
| Good [+1]Toggle ReplyLink» neoform replied on Mon Jan 23, 2006 @ 7:59am |
 Coolness: 339640 | Ewwwww calculus! |
| Good [+1]Toggle ReplyLink» FRANKB replied on Mon Jan 23, 2006 @ 8:02am |
 Coolness: 103310 | queef |
| Good [+1]Toggle ReplyLink» moondancer replied on Mon Jan 23, 2006 @ 10:44am |
| Coolness: 92240 | Didn't you take calculus, Neoform?
SOMEBODY ANSWER MY QUESTION PLEEEEEEEEEEEEEEEEASE! Before I hurt something. |
| Good [+1]Toggle ReplyLink» neoform replied on Mon Jan 23, 2006 @ 10:47am |
| Coolness: 339640 | Yeah, like 4 years ago. Ask dino. |
| Good [+1]Toggle ReplyLink» flo replied on Mon Jan 23, 2006 @ 12:06pm |
 Coolness: 146300 | i don't really understand your question...
if you're talking about an infinite series, for example Sigma(n) with n=1..infinity, then it doesn't converge ; it should have an asymptote, but no point of convergence. you should provide a formula or a more accurate description of your problem |
| Good [+1]Toggle ReplyLink» PitaGore replied on Mon Jan 23, 2006 @ 12:11pm |
 Coolness: 471780 | hell i'm ignorant |
| Good [+1]Toggle ReplyLink» I_fucked_IansMom replied on Mon Jan 23, 2006 @ 12:33pm |
 Coolness: 49005 | Werd seb, lets get edumacated. |
| Good [+1]Toggle ReplyLink» PitaGore replied on Mon Jan 23, 2006 @ 12:36pm |
| Coolness: 471780 | naw man education rules
but the last maths i did was 436 ......so long ago ... |
| Good [+1]Toggle ReplyLink» I_fucked_IansMom replied on Mon Jan 23, 2006 @ 12:39pm |
| Coolness: 49005 | Ok Now lets jsut say you meant to say knowledge, Rather than education and imma agree with you, Knowlegde is the Bomb ass shit.. Education is simple a way of imposing yout beleifs upon someone else in a what seems to be rational Manner..
I did some Weird ass Shit, But never know what it was, Liek assemble, More like hex codes and shit like that. |
| Good [+1]Toggle ReplyLink» moondancer replied on Mon Jan 23, 2006 @ 12:42pm |
| Coolness: 92240 | Originally posted by FLO...
i don't really understand your question... if you're talking about an infinite series, for example Sigma(n) with n=1..infinity, then it doesn't converge ; it should have an asymptote, but no point of convergence. you should provide a formula or a more accurate description of your problem I don't know what an asymptote is and I don't know if what I'm looking for is ultimate convergance or divergance or whatever but let's just put it this way, yes it's the sigma with the n=infinty and blabla, so in that case, when looking for the sum of whatever numbers you might have, how do you know when to stop? |
| Good [+1]Toggle ReplyLink» I_fucked_IansMom replied on Mon Jan 23, 2006 @ 12:43pm |
| Coolness: 49005 | When it's right. |
| Good [+1]Toggle ReplyLink» mdc replied on Mon Jan 23, 2006 @ 12:54pm |
| Coolness: 148790 | an infinite series can converge, in most cases it does...
ever heard of trigonometry... yeah.. infinite sums... logarithms too.... anyhoo... ugh.. i forget the firmula... ill be back with an answer |
| Good [+1]Toggle ReplyLink» mdc replied on Mon Jan 23, 2006 @ 12:55pm |
| Coolness: 148790 | you dont know when to stop..
you stop when you think you have a close enough estimate.. thats a numerical method of finding something.. its never absolute or correct.. its a close approximation is this a taylor series youre doing? |
| Good [+1]Toggle ReplyLink» moondancer replied on Mon Jan 23, 2006 @ 1:15pm |
| Coolness: 92240 | Okay now we're talking. All I know about the series type is it's an infinite series as opposed to an arithmetic series.. my prob is I don't really know how to write this type of equation here but I'll try to explain..
So it's the sigma with our N on top and i on the bottom, N = infinity, i=0, the fraction to find the sum for is 1/4 with 4 being to the power of i. I would know how to find the sum if N were equal to a number other than infinity, but it's not.. so I need to know what this "close" answer would be like or how to know when I'm at it. |
| Good [+1]Toggle ReplyLink» moondancer replied on Mon Jan 23, 2006 @ 1:25pm |
| Coolness: 92240 | |
| Good [+1]Toggle ReplyLink» flo replied on Mon Jan 23, 2006 @ 1:48pm |
| Coolness: 146300 | the series Sophia's talking about is an infinite sum which "converges towards infinity", that's why it's said to be divergent (and not convergent) ; however if it's not Sigma(n) from n=1 to n=infinity, but eg. Sigma(1/n), the series converges and then the matter is totally different.
as for when to stop, Dino's right ; you have to know why you want to stop : if you want an estimation of the sum, in that case it's infinity (if your series is actually the sum of all natural numbers) but if your series is another one and you want an approximation with an error bounded within, say, 5%, you have to get an asymptote (ie. a line that ultimately becomes approximately parallel to the curve that you want to estimate, but closer and closer ; [ mathworld.wolfram.com ] ) ; then you browse your asymptote until the absolute difference (eg. euclidean difference) between the curve describing your sum and the asymptote becomes < 0.05, and get the x value where you stopped your search. but if your series is converging, "when to stop" means you want to get its limit when n tends towards infinity to have the theoretical end-value, and then browse your series' curve until having a reasonable absolute difference with this theoretical end-value (same thing as before with the asymptote). there are plenty of formulae giving you an estimation for n=x or epsilon (the error) < x%, but you have to know exactly what you want and what for, in order to choose the right one... if i find something general enough i'll post it later. |
| Good [+1]Toggle ReplyLink» I_fucked_IansMom replied on Mon Jan 23, 2006 @ 2:04pm |
| Coolness: 49005 | I DONT FUCKEN KNOW. AND IT"S MAKING ME FEEL FUCKEN STUPID. |
| Good [+1]Toggle ReplyLink» beercrack replied on Mon Jan 23, 2006 @ 2:28pm |
| Coolness: 71410 | 42 |
| Good [+1]Toggle ReplyLink» flo replied on Mon Jan 23, 2006 @ 2:30pm |
| Coolness: 146300 | that's it. i feel depressed. thank you. |
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