\begin{definition}[Definition:Bounded Sequence/Normed Division Ring/Unbounded]
Let $\struct {R, \norm {\, \cdot \,} }$ be a normed division ring.
Let $\sequence {x_n}$ be a sequence in $R$.
$\sequence {x_n}$ is '''unbounded''' {{iff}} it is not bounded.
Category:Definitions/Boundedness
\end{definition}