High Quality Content by WIKIPEDIA articles! In mathematics, the open unit disk around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1: D_1(P) = { Q : vert P-Qvert<1}., The closed unit disk around P is the set of points whose distance from P is less than or equal to one: bar D_1(P)={Q:|P-Q| leq 1}., Unit disks are special cases of disks and unit balls. Without further specifications, the term unit disk is used for the open unit disk about the origin, D1(0), with respect to the standard Euclidean metric. It is the interior of a circle of radius 1, centered at the origin. This set can be identified with the set of all complex numbers of absolute value less than one. When viewed as a subset of the complex plane (C), the unit disk is often denoted mathbb{D}.

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