Math and science::Algebra
Affine function
Affine function
Let \( I \) be a real interval. A function \( \alpha : \mathbb{R} \to \mathbb{R} \) is affine iff
[\[
\alpha(p x_1 + (1-p) x_2) = \;\; ? \] ]
for all \( x_1, x_2 \in I \) and \( p \in [0,1] \).