Jun 8, 2023an 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. May 2, 2017roughly speaking, affine independence is like linear independence but without the restriction that the subset of lower dimension the points lie in contains the origin. 10 note that the second definition is a generalisation of the first.
A set is affine iff it contains all lines through any two points in the set (hence, as a trivial case, a set containing a single point is affine).. Recently, i am struglling with the difference between linear transformation and affine transformation. Jun 10, 2015a line has been chosen at infinity, and the affine transformations are those projective transformations fixing this line.
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