affine basis
An affine basis is a set of vectors that defines a coordinate system in an affine space. Unlike a traditional basis in vector spaces, an affine basis does not require the vectors to be linearly independent or to span the entire space. Instead, it allows for the representation of points in a way that preserves the concept of parallelism and ratios of distances.
In an affine space, any point can be expressed as a linear combination of the affine basis vectors, along with a reference point. This is useful in various fields, including computer graphics and geometry, where transformations and translations of shapes are common. The concept is closely related to vector spaces and linear algebra.