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The affine hull of is what would be if the origin was moved to .

The affine hull aff() of is the set of all affine combinations of elements of , that is,

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Examples

*The affine hull of the empty set is the empty set.
*The affine hull of a singleton (a set made of one single element) is the singleton itself.
*The affine hull of a set of two different points is the line

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