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The unit disk in the complex plane, denoted $\Delta$ is defined as $\{ z \in {\mathbb C}: |z| < 1 \}$ The unit circle, denoted $\partial\Delta$ or $S^1$ is the boundary $\{z \in {\mathbb C}: |z|=1 \}$ of the unit disk $\Delta$ Every element $z \in \partial\Delta$ can be written as $z=e^{i \theta}$ for some real value of $\theta$
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"unit disk" is owned by brianbirgen.
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Cross-references: real, boundary, complex plane
There are 47 references to this entry.
This is version 5 of unit disk, born on 2003-05-12, modified 2003-05-13.
Object id is 4277, canonical name is UnitDisk.
Accessed 8800 times total.
Classification:
| AMS MSC: | 30A99 (Functions of a complex variable :: General properties :: Miscellaneous) |
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Pending Errata and Addenda
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