The linearity

property of a

transform *T*{} is verified if

a f(x) + b g(x) -T-> a T{f(x)} + b T{g(x)}

where `a`

and `b`

are constants, `f(x)`

and `g(x)`

are functions and `-T->`

denotes the transformation.

A transform is thus linear if any linear combination of functions are transformed into a linear combination of their transforms.