Complex Structure
The complex structure of a point 
in the Plane is defined by the linear Map
and corresponds to a clockwise rotation by
. This map satisfies |  |  | |
 | |  | |
 | |  |
where
is the Identity Map.More generally, if 
is a 2-D Vector Space, a linear map 
such that 
is called acomplex structure on . If 
, this collapses to the previous definition.
References
Gray, A. Modern Differential Geometry of Curves and Surfaces.Boca Raton, FL: CRC Press, pp. 3 and 229, 1993.
- Dervish
- Desargues' Theorem
- Descartes Circle Theorem
- Descartes-Euler Polyhedral Formula
- Descartes Folium
- Descartes' Formula
- Descartes Ovals
- Descartes' Sign Rule
- Descartes Total Angular Defect
- Descriptive Set Theory
- Design
- Design Theory
- de Sluze Conchoid
- de Sluze Pearls
- Desmic Surface
- Destructive Dilemma
- Determinant
- Determinant (Binary Quadratic Form)
- Determinant Expansion by Minors
- Determinant (Knot)
- Determinant Theorem
- Developable Surface
- Deviation
- Devil on Two Sticks
- Devil's Curve