# Definition of "affine" [af•fine]

- (adjective) Mathematics Of or relating to a transformation of coordinates that is equivalent to a linear transformation followed by a translation.

- (adjective) Mathematics Of or relating to the geometry of affine transformations.

## Use "affine" in a sentence

- "We modeled the eating, lying, and standing dynamics of a cow using a piecewise affine dynamical system."
- "We formulate a mathematical model for daily activities of a cow (eating, lying down, and stand - ing) in terms of a piecewise affine dynamical system."
- "Thus, for example, the notions of Euclidean geometry are invariant under similarity transformations, those of affine geometry under affine transformations, and those of topology under bicontinuous transformations."