Category:Bounded Euclidean Spaces
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This category contains results about Bounded Euclidean Spaces.
Definitions specific to this category can be found in Definitions/Bounded Euclidean Spaces.
Let $A \subseteq \R^n$ be a subset of a Euclidean space under the usual metric.
$A$ is bounded (in $\R^n$) if and only if :
- $\exists N \in \R: \forall x \in A: \size x \le N$
That is, every element of $A$ is within a finite distance of any point we may choose for the origin.
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