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Affine Dimension

Last updated Nov 1, 2022

# Definition 1

Let $V$ be a Vector Space over $\mathbb{R}$ and let $S \subset V$ be an Affine Set. Then the Affine Dimension of $S$ is the dimension of the subspace associated with $S$.

# Definition 2

Let $V$ be a Vector Space over $\mathbb{R}$ and let $S \subset V$. Then the Affine Dimension of $S$ is the Affine Dimension of $\mathbf{aff} S$.

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