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In mathematics, an affine subspace is a subset of a linear space with the property that any affine combination of vectors in the affine subspace is also in the affine subspace. An affine subspace differs from a linear subspace in that an affine subspace does not necessarily contain the zero vector (i.e. the origin).

For example, any arbitrary plane in 3-space is an affine subspace of 3-space.

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