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.
- Siegel Disk Fractal
- Siegel Modular Function
- Siegel's Paradox
- Siegel's Theorem
- Sierpinski Arrowhead Curve
- Sierpinski Carpet
- Sierpinski Constant
- Sierpinski Curve
- Sierpinski Gasket
- Sierpinski-Menger Sponge
- Sierpinski Number of the First Kind
- Sierpinski Number of the Second Kind
- Sierpinski's Composite Number Theorem
- Sierpinski Sieve
- Sierpinski Sponge
- Sierpinski's Prime Sequence Theorem
- Sierpinski's Theorem
- Sierpinski Tetrahedron
- Sierpinski Triangle
- Sieve
- Sieve of Eratosthenes
- Sievert Integral
- Sievert's Surface
- Sifting Property
- Sigma Algebra