Let Θ be the heaviside step function:

Θ(a):=1,a≥0
θ(1)=1
θ(0)=1
θ(-1)=0
θ(-100)=0
θ(100)=1

Then, the maximum function max(a,b) that returns the greater of the two arguments, can be written as:

max(a,b):=b+(a-b)⋅Θ(a-b)