Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20070125 11:11:24
Find the FunctionHere's a challenge someone set me yesterday  doesn't seem like it can be done at first, but I can assure you there is a way! (or some other equivalent condition) Last edited by Dross (20070125 11:11:50) Bad speling makes me [sic] #2 20070125 12:27:58
Re: Find the FunctionI know a possible answer, because one of my lecturers is crazy about stuff like this. Why did the vector cross the road? It wanted to be normal. #3 20070125 17:47:53
Re: Find the FunctionToo hard for me, I'll come back to see later. igloo myrtilles fourmis #4 20070126 03:21:35
Re: Find the FunctionI'm assuming these functions must be on the real numbers? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #5 20070127 01:12:36
Re: Find the FunctionPlease do post any solutions you have, all  I'd like to see any others that are out there. Bad speling makes me [sic] #6 20070127 02:11:14
Re: Find the FunctionYours is the one that I had as well. There are many other functions like that that would work though. As long as the two functions you pick equate for precisely one value of x, then it will work. Why did the vector cross the road? It wanted to be normal. #7 20070127 02:17:14
Re: Find the FunctionRight mathsyperson. But, the question is, are there other dense properties in the real numbers? The only ones I know of (without thinking too much into it) are rational and irrational. What about algebraic and transcendental? Interesting question if you ask me. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #8 20070127 11:28:57
Re: Find the FunctionDross, if you don't mind, I'm going to post my own little challenge. If you want me to move this to another thread, just say the word and it's gone. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #9 20070128 01:26:22
Re: Find the FunctionOh, right. I wondered what you meant by nontrivial, before you edited that note in. So, we're not allowed to have f(x) = 1, 0 or 1 then. Why did the vector cross the road? It wanted to be normal. #10 20070128 03:14:44
Re: Find the FunctionYes, those would be way too easy. I'm fairly certain the only way you can solve this problem is to come up with a strategy, a method of solving. Just trying different functions won't help. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #11 20070129 06:56:05
Re: Find the FunctionI'm going to start posting hints. This first hint is obvious, but it does reveal a way to think about the problem. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #12 20070129 08:20:22
Re: Find the FunctionAh, of course. Strange that posting something so obvious would help out so much. Why did the vector cross the road? It wanted to be normal. #13 20070129 08:41:56
Re: Find the FunctionHere is a "find the function" problem that a friend of mine came up with: #14 20070129 09:09:23
Re: Find the Functioni didnt come up with this myself, and its not quite a complete answer, however: The Beginning Of All Things To End. The End Of All Things To Come. #15 20070129 10:59:42
Re: Find the FunctionIt is possible, however. For example, here is the corresponding g(x) for f(x) = x²: Then we have Also, if you didn't come up with that, then where did it come from!? #16 20070129 17:29:32
Re: Find the Functionthe magical world of professor rythm The Beginning Of All Things To End. The End Of All Things To Come. #17 20070129 18:26:42
Re: Find the FunctionHe teaches music, not math! Enough of your lies. #18 20070130 04:35:22
Re: Find the Functionno, thats just his nickname, he is at university studying maths, he helps me out when i have trouble with something, and i help him out when he has trouble with something (usually something not to do with maths) The Beginning Of All Things To End. The End Of All Things To Come. 