affine

(genealogy) A relative by marriage, an in-law.

To refine.

Assigning finite values to finite quantities.

Of or pertaining to a function expressible as f(\vec x)= A \vec x + \vec b (where A is a linear transformation and \vec b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.

Of two materials, having mutual affinity.