
#1
Mar2212, 08:17 PM

P: 77

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? 



#2
Mar2212, 10:35 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,898

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? 



#3
Mar2212, 11:03 PM

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[itex]\in[/itex] [itex]\Re[/itex] is a real variable opposed to an integer variable but I have no idea how to do it 



#4
Mar2312, 12:20 AM

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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