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Results tagged with affine-geometry
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user 50929
6
votes
Accepted
Intersection of a $\mathbb{Q}$-affine space with $\mathbb{Z}^n$
If $E$ is given as $\{ v + Aw : w \in \mathbb Q^m \}$ where $v \in \mathbb Q^n$ and $A \in M_{n, m}(\mathbb Q)$, then if $B$ is a left-inverse for $A$ we have $E \cap \mathbb Z^n \neq \varnothing \iff …
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