\begin{definition}[Definition:Minkowski Sum]
Let $V$ be a vector space.
Let $A, B$ be two subsets of $V$.
Then the '''Minkowski sum''' of $A$ and $B$, denoted as $A + B$, is defined as:
:$A + B := \set {a + b: a \in A, b \in B}$
where the operation $+$ is vector addition.
The '''Minkowski sum''' is therefore a relation in the power set of $V$ in the sense that it is a mapping:
:$+: \powerset V^2 \to \powerset V$
{{NamedforDef|Hermann Minkowski|cat = Minkowski}}
Category:Definitions/Linear Algebra
\end{definition}