A linear function fixes the origin, whereas an affine function need not do so. An affine function is the composition of a linear function with a translation, so while the linear part fixes the origin, the translation can map it somewhere else. read more
An affine function is the composition of a linear function with a translation, so while the linear part fixes the origin, the translation can map it somewhere else. Linear functions between vector spaces preserve the vector space structure (so in particular they must fix the origin). read more
An affine function, usually called an affine transformation, [math]T:V\to V[/math] on a vector space [math]V[/math] is the sum of a linear transformation and a constant vector. The constant vector is in effect a composition with a translation. read more
As adjectives the difference between linear and affine is that linear is having the form of a line; straight while affine is (mathematics) assigning finite values to finite quantities. As a noun affine is (genealogy) a relative by marriage. As a verb affine is to refine. read more