X-Nico

unusual facts about complex numbers



Grunsky's theorem

In mathematics, Grunsky's theorem, due to the German mathematician Helmut Grunsky, is a result in complex analysis concerning holomorphic univalent functions defined on the unit disk in the complex numbers.


see also

Conj

Complex conjugate, one half of a pair of complex numbers, both having the same real part, but with imaginary parts of equal magnitude and opposite signs.

Quat

Quaternion, a non-commutative extension of the complex numbers

Rouché's theorem

Theodor Estermann (1902–1991) proved in his book Complex Numbers and Functions the following relation: Let K\subset G be a bounded region with continuous boundary \partial K.

Types of artificial neural networks

Holographic associative memory represents a family of analog, correlation-based, associative, stimulus-response memories, where information is mapped onto the phase orientation of complex numbers operating.