Anything and everything mathematics-related can go in here. Conceived by yours truly . I also hope this doesn't degenerate into a debate between 'math' and 'maths.' It's pointless. -_- Anyway, to start us off: What's purple and commutes? An Abelian grape.
I took Calculus last year in HS, taking again in college because I got a goddamn 2 on my AP exam but yeah math sucks
lol, my Korean friend got a 5.. good thing I got a 4..totally unexpected. as for math.. hate it.. been good at it only up until 9th grade.. Trig and differential calculus are the best parts for me, though, most interesting
I'm taking Calculus III, Differential Equations, Linear Algebra, Matrix Algebra and Mathematical Physics next year, among other things, so I have no choice but to like it.
I just failed Topology for the second time... That said, I like the subject and I had a shitty day. One of the questions: If X is a topological space and F is a closed subset of X, prove that int F = int cl int F. I couldn't solve it then.
Goal for this year: qualify for the USAMO. There will be much blood, sweat, and tears; many long, arduous nights of studying; loss of social life... but it'll be worth it in the end.
Those kind of questions are quite tricky, I think you just need to use the definitions of interior and closure to prove both ways of the equality.
If you mean 1 / (1/x) - 1 it simplifies to x - 1. If you mean 1 / (1/x - 1) it's already in its simplest form I think.
Yes, maybe this form is easier. Just a technical note: the two functions are not actually the same, as the former is defined for R \ {0, 1} while the latter is defined for R \ {1}. If we define the first one in x = 0 as its limit then the two functions are equal.
For my first year at uni I'm taking: Calculus Mathematical methods Algebra Economics for mathematicians Discrete mathematics and computing Financial mathematics Probability and statistics for Actuaries
the only thing I was confused by in High School Calc was Sigma notation, but then on the AP exam, there was a problem none of us had ever seen before or knew we had to use the stuff we learned earlier in the class and sat there confused. I got a damn 2 on that thing because of that problem, as that was the deciding factor on my written area =\ I haven't taken a math class in college yet because I don't need to for my major.
A math thread? Thank goodness!! I am willing to give a prize of 5000 internets for someone who can answer me a simple question on set theory (i think its set theory, im a layman when it comes to it anyway). Can a euclidean space have an oblique coordinate system? Or euclidean spaces have, by definition, an orthogonal coordinate system? EDIT: By "oblique" coordinate system, i mean any coord system which is not orthogonal. Sorry, not sure on that definition either.
An euclidean space is just a vector space with an inner product. You can choose a non-orthogonal basis that results in an oblique coordinate system. For example consider R^2 and the vectors (2, 1) and (1, 2). Those vectors are linearly indipendent and span the whole space, so they form a basis for R^2. The resulting coordinate system is oblique. By the way, this is a question concerning geometry / linear algebra.
I dunno, i had linalg, only they never bothered defining what is "euclidean". Maybe they taught that in the only class i was absent? Regardless, here is your prize
Dude why don't you just read this http://en.wikipedia.org/wiki/Euclidian_space instead of asking some amateurs on 5/8 (no offense).
Holy fuck you all take alot of math classes... the only reason I have taken any is for my major (Environmental Science)....though I rather have a math class then a literature class.... dont understand a word they say in them olden times.....
Probably because all you are doing is computing derivatives and limits, or something like that. Math is much more than mechanical passages.
