(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.

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

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

(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

(geometry) Said of a set of points in an affine space: the property that the vectors issuing from an arbitrarily chosen point to the rest of the points are linearly independent.

plural of affine variety

plural of affine combination

(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.

plural of affine group