"exercise 8.1 (Dr.W.Lindner)" -- We check using Eigenmath. "1. Operator X(f,x) := x*f" " X is linear, e.g. additive and homogen:" X(f,x) = x*f -- define operator X -- check additivity X(f()+g(),x) X(f(),x) +X(g(),x) -- check homogenity X( a*f() ,x) a * X(f(),x) "2. Operator D(f,x) := d(f,x)" " D is linear, e.g. additive and homogen:" D(f,x) = d(f,x) -- define operator D D(f()+g(),x) D(f(),x) +D(g(),x) D(a*f(),x) a*D(f(),x) Run