# Ball (Mathematics)

Definition : Let $P,Q$ be points on a space, the ball $\mathbb{B}_n (P) = \{ Q| \mid P - Q \mid < n\}$

The unit ball $\mathbb{B}_n (P)$ are all points in the space whose distance from $P$ is less then $n$. This is also called an open unit ball. A closed unit ball is where all points whose distance from $P$ is equal to $n$ is also included. A unit ball is a ball where $n = 1$

LaTex Code : \mathbb{B}_n

See Also : Unit Ball, DiskUnit Disk