f(x) == f(10x)

[Andy]

dodge_tomahawk wrote:

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

it was from my previous quote... the [] withought the top bar of the bracket was intended

[rizzix]

allright i give up.. whats the answer?

[bugzpodder]

f(x)=|x|/x with f(0) arbitrary
or you can obviously define your own functions
for example we can make an arbitrary function in the interval [a,10a] where f(a)=f(2a) and then we are define f for all reals by a translation + horizontal stretch by a factor of 10^n

[bugzpodder]

and since the original question did not specifically state the domain of x, we could let x simply be positive integers and one could use the number theoritical function to obtain
f(x)=phi(10x)/x, where phi is defined as Euler's Totient Function
http://mathworld.wolfram.com/TotientFunction.html

[PaddyLong]

dodge_tomahawk wrote:

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

... well, isn't that kind of like saying the root of -5 is the same as the root of -1 ? ....

[Andy]

noooo... sqrt(-5)=sqrt(5)i
sqrt(-3)=sqrt(3)i

[PaddyLong]

yes, I know... but roots of negative numbers are undefined in the real number system...

[Andy]

when i said undefined i meant undefined... in all number systems

[PaddyLong]

kk 8)

[bugzpodder]

so where are my bits?