condition number of a function

chuy52506

Say i have the following function:
f(x)= {-45 , x<0.5
45 , x≥0.5}
where x[itex]\in[/itex] R is a real variable in [0,1]. What would the condition number k(x) be for all values of x?

HallsofIvy

First, do not post the same question more than once. I have deleted your post in "general mathematics".

Second, a function, by itself, does NOT have a "condition number". The condition number depends on the function and on what you are trying to do with it. What are you trying to do with this function?

chuy52506

sorry about that
Im trying to find the condition number k(x) for all values of x. I know the problem depends on the fact that x[itex]\in[/itex] [itex]\Re[/itex] is a real variable opposed to an integer variable but I have no idea how to do it

chuy52506

is it possible for the condition number to be 0? I have a formula defining k as being:
||J||/(||f(x)||/||x||) where J is the jacobian of f.
So in this case the jacobian would be 0 and thus k=0?