Recent content by mygumballs

M
Math Question

cos ( x ) = sin ( x + 90 degrees) therefore the 2 are the same number and their ratio is one
- mygumballs
- Post #7
- Feb 15, 2005
- Forum: OT Discussion Club
M
can I do this w/ my proof?

another way to tackle the problem is to split the sequence into 2 subsequences of (-1)^n for all odd n or all even n. both of these subsequences obviously converge to -1 and 1 respectively. there should be some theorem that says if all of the subsequences that make up a sequence coverge, then...
- mygumballs
- Post #17
- Feb 15, 2005
- Forum: OT Discussion Club
M
can I do this w/ my proof?

well, it's not the definition of convergence, it's just a theroem that results from it. the definition of covergence is for some large N, and for any e > 0, n >= N implies the distance between the sequence and p are less than e, where p is the point the sequence converges to
- mygumballs
- Post #12
- Feb 15, 2005
- Forum: OT Discussion Club
M
can I do this w/ my proof?

like you said, you break it up. (-1)^n does not diverge, because, as mchammer pointed out, it is bounded above and below by 1 and -1 respectively. any bounded sequence must converge. and the other part is simply taking the limit of 1/(1 + (1/n)) = 1 which clearly doesn't diverge
- mygumballs
- Post #9
- Feb 15, 2005
- Forum: OT Discussion Club
M
can I do this w/ my proof?

is this an infinite series of just a sequence? are we summing this thing? because if it's not a series and just a sequence, then the limit as n tends to infinity is some function that alterates between 1 and negative one.
- mygumballs
- Post #5
- Feb 15, 2005
- Forum: OT Discussion Club
M
How is the value of pi derived?

oh teh nooeeeeeees! i didn't even know some one already posted that method already. now my posts are obsolete...:(
- mygumballs
- Post #41
- Feb 15, 2005
- Forum: OT Discussion Club
M
How is the value of pi derived?

no, a friend of mine just told me about it. but a sort of proof is easy. the ratio of points in teh square to the points in the circle is the same as the ratio of the area of the circle to the area of the square. if the square's sides are x long, then its area is x^2 and the area of the circle...
- mygumballs
- Post #34
- Feb 15, 2005
- Forum: OT Discussion Club
M
How is the value of pi derived?

an interesting "computer sciencie" way of approximating pi is to create a program to randomly generate points in a square of arbitrary length. you then inscribe a circle in that square and find out how many points are in or on that circle (just use the distance from the center of the square)...
- mygumballs
- Post #31
- Feb 15, 2005
- Forum: OT Discussion Club
M
How is the value of pi derived?

an infinite series approximations of some kind. there's a list of them here
- mygumballs
- Post #26
- Feb 15, 2005
- Forum: OT Discussion Club
M
BEHOLD!!!!

Just in case you don't know what he's referring to
- mygumballs
- Post #8
- Feb 15, 2005
- Forum: OT Discussion Club
M
The Laser Game

i took forever on 17 as well, and then found a solution that left me with 2 extra mirrors. one of which was that double sided mirror. i didn't know it was possible to have extras
- mygumballs
- Post #61
- Feb 4, 2005
- Forum: OT Discussion Club
M
Don't poop on the Pope!!

this is actually a common occurance for all past and future popes
- mygumballs
- Post #2
- Jan 30, 2005
- Forum: OT Discussion Club
M
Gran Turismo 4 slips to "winter" in Japan...

a friend of ours got the chinese version of the game and we've been playing it on our modded ps2 for the past week. it rocks. we got one of those logitec steering wheels with gas and brake peddles specifically for this game. it reallly adds to the experience.
- mygumballs
- Post #26
- Jan 16, 2005
- Forum: OT Discussion Club
M
Do you have a personal AT stalker?

I used to have one. Shlomo Dubnov stalked me for a while. He used to post quotes from me of stuff I posted from threads months before. Was really messed up. I think the mods perma-banned him. At least I hope.
- mygumballs
- Post #48
- Jan 6, 2005
- Forum: OT Discussion Club
M
godspeed, brave woman. godspeed.

this is my wallpaper now
- mygumballs
- Post #16
- Oct 22, 2004
- Forum: OT Discussion Club

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