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Affine geometry, a geometry not involving any notions of origin, length or angle

Affine space, an abstract structure that generalises the affine-geometric properties of Euclidean space

Affine combination, a certain kind of constrained linear combination

Affine transformation, a linear transformation followed by a translation between two vector spaces, or equivalently, a transformation that preserves all affine combinations

Affine group, the group of all invertible affine transformations from any affine space over a field K into itself

Affine representation, a continuous group homomorphism whose values are automorphisms of an affine space

Affine connection, a connection on the tangent bundle of a differentiable manifold

Affine cipher, a special case of the more general substitution cipher

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Affinity