Open unit disk: Difference between revisions

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(New page: ==Definition== The '''open unit disk''' in <math>\mathbb{C}</math> is defined as the subset: <math>\{ z \in \mathbb{C} \mid |z| < 1 \}</math> Equivalently, it is the interior of the [[u...)
 
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Latest revision as of 19:17, 18 May 2008

Definition

The open unit disk in C is defined as the subset:

{zC|z|<1}

Equivalently, it is the interior of the unit circle i.e. the bounded component of the complement of the unit circle, in C.