(geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.

(chemistry) All the various attractions between elements and compounds that lead to their reaction.

(mathematics) The group of all affine transformations of a finite-dimensional vector space.

(geometry, uncountable) The branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored.

(mathematical analysis, computing) A model for self-validated numerical analysis in which quantities are represented as affine combinations (called affine forms) of certain primitive variables that stand for sources of uncertainty in data or approximations made during computations.

(mathematics) a vector space having no origin

(algebraic geometry) A set of points (in n-dimensional space) which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side.

Exhibiting self-affinity.

(mathematics) The condition of a fractal whose pieces are scaled by different amounts in the x and y directions, so that self-similarity becomes apparent only after an anisotropic transformation.

(physics) The energy released when an electron is attached to an atom or molecule; used as a measure of its ability to form an anion