Shadow

Hey all, I was wondering the other day, if you rotate the plot of [math]y=x^2[/math] 90° CW, you get [math]y^2=x[/math]. What happens when you do the same with [math]sin(x)[/math]? In other words, which function looks like this: Cheers, Gabe

Could you post a source for the [math] 1+2+4+8+\cdots = \sum_{n=0}^{\infty}2^n = -1 [/math] one? I'd be interested to know more about this...Thanks

I smell Scientology....

I wouldn't go as far as calling the Information Age "invasion by digital aliens" Anyway, I heard somewhere that the ideal age is 30-31..so I actually should have been born 30 years ago

That's exactly what I was going to say. We know that [math]|\Re^+ |= |\Re^- |[/math]. Pair these up, and you'll get 0. Sum the zeros, and you get zero. The only thing I'm not sure about here that since you're adding an infinite amount of zeros, wouldn't this be like multiplying by infinity? I'm sort of loosening the leash on my imagination here, so feel free to step in a kick me back in place

I finished this like three months ago. Brilliant game.

I should have been born 40 years ago...

There's always a possibility they'll blow Earth up and build a hyperspace expressway in it's place...

Oh I know the feeling, but that certainly doesn't mean that I know everything about that given subject. There's always more to learn. For people to depend on you, all you have to know is all they know, plus what they want to know. That, at least in my experience, rarely means knowing everything

Doesn't that depend on the weed?

Must be boring, knowing everything there is to know about a given subject. Takes the fun out of life.

It loads a lot faster than mine...

I though "Carrot", then said "But I'm sure that's what the answer's supposed to be, so I'll pick tomato instead." And, wow, look at that, I was right Cheers, Gabe

Ask Tom Cruise )

So true...

I'm surprised that the fact that mathematicians don't know anything is not common knowledge. I mean people are so surprised when I tell them there are lots of things my math teacher doesn't know... Cheers, Gabe

Hey all, I'm curious as to how to calculate the surface/volume of a shape I though of the other day. Since I don't know if what it's called (heck, I don't even know if it exists) and I'm not even close to being good enough with Photoshop to make a picture, I'll have to describe it, which may prove a little tricky. So, here we go. It's three dimensional. Imagine you have a circle with center [math]S_1[/math] of radius [math]r_1[/math] in space. Now imagine on either side of it, an n-sided convex regular polygon with a center [math]S_2[/math] and diameter (that is, the distance between the center and the place where two edges meet) [math]r_2[/math]. The distance between [math]S_1[/math] and [math]S_2[/math] is [math]d[/math]. Now here comes the complicated part; connect the circle with the polygons in such a way that the shape will transform from a circle to the polygon the closer you get to the polygon. The circle will sort of blend into a polygon. I can't think of a better way to explain. If it helps you, if the polygons were circles instead, you'd get a "double" right circular cone with it's tip missing. Anyway, in the rare case you understood the above, how would you calculate the surface/volume? I'm sure you'd need calculus, but that's about as far as I got. That's not to say that at any time I kidded myself into thinking I could solve this on my own. Cheers, Gabe PS.: I know I only use one center for two polygons, but the same thing applies to both of them, they're just on opposite sides of the circle.

Deja vu... Anyway, not yet. And yes, my children will be the mathematical geniuses of the 21st century if I have anything to do with it :D

The Goa'uld...? ) Anyway, I agree with Bignose. And there's another "beautiful" thing about that, one that I may realize more than other because I'm still in a phase where I don't want to learn everything I have to learn; the knowledge taught at school also expands in the same way. And I just seriously do NOT envy my grandchildren (if I ever have any), because the ammount of stuff they will have to learn will probably exceed what I have to learn quite a bit. Maybe not, maybe more time is needed for the effect to be pronounced, but it's going to happen sooner or later. And I can't help but wonder how this problem will be dealt with. Will they just teach the most important of the most important? In that case, what is more important? The theory of relativity, or quantum mechanics? Or, for that matter, mathematics or biology? Or will they just keep stuffing all the knowledge into your head? Or will they give 4 year olds the choice of what they want to study, thus predetermining what they will do in life with little chance of them being able to switch for something else?

I concur...and btw, nice sig It's nice to know our former president is at least a little known outside the Czech Republic...

When you get this working, why don't you post a video? I'd like to see this in action )

What did you set out to prove/construct? Is it that thing you're giving a seminar for at Kings College, the stuff related to [lot's of long words here]?

Isn't that true with everything?

Quoted from IMDB Rating: 4.8/10 (3644 votes) Plot: An anti-American filmmaker who's out to abolish the July Fourth holiday is visited by three ghosts who try to change his perception of the country. MPAA: Rated PG-13 for rude and irreverent content, and for language and brief drug material. Sound less-than-mediocre.

I once saw a video depicting just that, but as you said, I think it's much more probable it's the fault of the opponent. I mean, if someone had the ability to clench his muscles that hard, I think it would be reasonable to assume he'd have won the game before his bones snapped. And at least in the video I saw, they were pretty much equal in strength, and the game had been going on for more than a minute. Can you describe that a different way?, I'm having trouble understanding it, and I'd love to try. EDIT: Never mind, I just remembered what "crossing arms" means Anyway, I also didn't have much trouble doing this motion, although I admit it was more difficult than the thumbs. This didn't really take much effort. A much harder one is have your arms stretched out in front of you, and draw a square with one and a triangle with the other at the same time (repeatedly). I only manage that for two-three seconds at a time, unless I slow way down.