In mathematics, the affine group or general affine group of any affine space is the group of all invertible affine transformations from the space into...

affine transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine space...

In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector...

In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent...

the group G, where the number of copies is equal to the number of connected components of T. GS is affine over S if and only if G is a finite group. However...

on Fn in the natural manner. The affine group can be viewed as the group of all affine transformations of the affine space underlying the vector space...

bioinformatics Affine geometry, a geometry characterized by parallel lines Affine group, the group of all invertible affine transformations from any affine space...

translates of these hyperplanes. The affine Coxeter group (or affine Weyl group) is then the group generated by the (affine) reflections about all the hyperplanes...

important class of algebraic groups is given by the affine algebraic groups, those whose underlying algebraic variety is an affine variety; they are exactly...

Euclidean group is a subgroup of the group of affine transformations. It has as subgroups the translational group T(n), and the orthogonal group O(n). Any...