Finite difference (source code)

= Finite difference
{wiki}

A finite difference compares the values of a <function> at finitely separated arguments. For example, the forward finite difference with step $h$ is
$$
\Delta_hf(x)=f(x+h)-f(x).
$$
It is the discrete analogue of a <derivative> and lowers the degree of a nonconstant <polynomial> by one.