f(x) == f(10x)

[octopi]

100 bits for someone who solves the following problem:

Find a function f(x), where f(x) is equal to f(10x) for all values of x,
The varible x must be used in the function.

example of how not to do it:
f(x) = 4
f(x) can't be 4 (because, the result would be 4 for all values of x), and x is not used in the function.

f(x) = 4+x-x
NO, because when simplified you get 4, cheap bastards.


Good luck.

Any cheapory in your anwsers will result in me not giving you bits...aka stupid anwser thats not right. but I didn't cover above in my examples of how not to do it.
(like, f(x)= 0x, or f(x)= x^0)

[Mazer]

octopi wrote:

f(x)= 0x

crap!!! now i have to come up with something else!

[McKenzie]

code:

int f(int x) {      while(x % 10 == 0)           x = x / 10;      return x; }

[Tony]

wait Is the question about a math function or a programming function

btw, McKenzie - since when do you have those billion bits?
and for that matter... where did half of my bits go?

[McKenzie]

I think it is supposed to be a math question. I thought a compsci answer was better bits...what bits?

[Tony]

McKenzie wrote:

bits...what bits?

umm... can Andy create bits now that he's a mod

*Tony takes out his sniper rifle and goes to investigate*

[Blade]

wow, how quickly topics get changed around from the initial equation..

[Andy]

f(x)=[1/x]

take off the top bar of the square bracket. that is actually a mathematical operator, it means the largest integer smaller than the number contained.... heh that works... but only for integral values of x

[AsianSensation]

actually that one works for every single number except for 1 itself.

[1/1] = 1, [1/10] = 0

[Andy]

dope!

fine [1/x+1]

[AsianSensation]

nope, still another fault.

[1/(-10 + 1)] = -1, [1/(-1 + 1)] = undefined

still not every single number.

[Andy]

okok i think i actually got it...
f(x)=[(x-(|x|/x))/x]

how about that?

[Mazer]

hey dodge, besides the fact that f(x) != f(10x) with your function, what is f(0)?

[Andy]

yes it does equal... sub in any value... and undefined=undefined rite?

[Mazer]

uh... as we all know, i really suck at math, so feel free to point out my stupidity if i do something that seems incredibly n00bishly stupid.

WW wrote:

f(x)=[(x-(|x|/x))/x]

f(5) = (5 - (|5|/5))/5
= (5 - 1) / 5
= 4/5
= 0.8

right?

f(50) = (50 - (|50|/50))/50
= (50 - 1)/50
= 49/50
= 0.98