# condition number of a function

by chuy52506
Tags: condition, function, number
 P: 77 Say i have the following function: f(x)= {-45 , x<0.5 45 , x≥0.5} where x$\in$ R is a real variable in [0,1]. What would the condition number k(x) be for all values of x?
 Math Emeritus Sci Advisor Thanks PF Gold P: 38,705 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?
 P: 77 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$\in$ $\Re$ is a real variable opposed to an integer variable but I have no idea how to do it
P: 77

## condition number of a function

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?

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