# Affinity

From Encyclopedia of Mathematics

A brief synonym for an affine transformation, defined as a non-degenerate linear substitution $$ \tilde x^i = A^i_s x^s + a^i \ . $$

**How to Cite This Entry:**

Affinity.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Affinity&oldid=39420

This article was adapted from an original article by A.P. Shirokov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article