ixcetqr

hello,

so i'm currently working on a linear programme optimisation, and i was wondering if someone could help me with a bit of maths.

and i need to represent abs(x) in terms of a linear equation (so no root(x^2) allowed)

everyone knows what absolute(x) or |x| represents and it's pretty simple to do in your head, but I was wondering if there were any computational methods or equations for evaluating this?

also i'm looking specifically for a linear method so i cant have if statements and such

also are there any functions that result in

x = x if x>=0,

x = 0 if x<0

if so what is it called?

any help is appreciated, thanks