unit disk

The unit diskMathworldPlanetmath in the complex planeMathworldPlanetmath, denoted Δ, is defined as {z:|z|<1}. The unit circleMathworldPlanetmath, denoted Δ or S1 is the boundary {z:|z|=1} of the unit disk Δ. Every element zΔ can be written as z=eiθ for some real value of θ.

Title unit disk
Canonical name UnitDisk
Date of creation 2013-03-22 13:37:45
Last modified on 2013-03-22 13:37:45
Owner brianbirgen (2180)
Last modified by brianbirgen (2180)
Numerical id 8
Author brianbirgen (2180)
Entry type Definition
Classification msc 30A99
Synonym unit disc
Related topic ConformalMobiusCircleMapTheorem
Related topic SchwarzLemma
Related topic Complex
Related topic UpperHalfPlane
Related topic UnitDiskUpperHalfPlaneConformalEquivalenceTheorem
Related topic UnitDisc2
Defines unit circle