plural of affine group

plural of affine transformation

plural of affine space

(rare) A co-in-law: A relationship by marriage with a separation by three degrees (two people), compared to prototypical affines, where the separation is two and one.

(linear algebra) A linear combination (of vectors in Euclidean space) in which the coefficients all add up to one.

(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.

(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