n-fold iteration
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Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment … Wikipedia
Néron–Tate height — In number theory, the Néron–Tate height (or canonical height) is a quadratic form on the Mordell Weil group of rational points of an abelian variety defined over a global field. It is named after André Néron and John Tate. Contents 1 Definition… … Wikipedia
No wandering domain theorem — In mathematics, the no wandering domain theorem is a result on dynamical systems, proved by Dennis Sullivan in 1985. The theorem states that a rational map f : Ĉ rarr; Ĉ with deg( f ) ge; 2 does not have a wandering domain, where Ĉ denotes the… … Wikipedia
Convolution power — In mathematics, the convolution power is the n fold iteration of the convolution with itself. Thus if x is a function on Euclidean space Rd and n is a natural number, then the convolution power is defined by where * denotes the convolution… … Wikipedia
No-wandering-domain theorem — In mathematics, the no wandering domain theorem is a result on dynamical systems, proven by Dennis Sullivan in 1985. The theorem states that a rational map f : Ĉ → Ĉ with deg(f) ≥ 2 does not have a wandering domain, where Ĉ… … Wikipedia
Dragon curve — A dragon curve is any member of a family of self similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems. Contents 1 Heighway dragon 1.1 Construction … Wikipedia
Multibrot set — Click to play video of multibrot set with d changing from 0 to 8 In mathematics, a multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic … Wikipedia
Cooperative optimization — is a global optimization method invented by chinese mathematician Xiao Fei Huang, that can solve real world NP hard optimization problems (up to millions of variables) with outstanding performances and unprecedented speeds. It knows whether a… … Wikipedia
Julia set — In complex dynamics, the Julia set J(f), [Note that in other areas of mathematics the notation J(f), can also represent the Jacobian matrix of a real valued mapping f, between smooth manifolds.] of a holomorphic function f, informally consists of … Wikipedia
Function composition — For function composition in computer science, see function composition (computer science). g ∘ f, the composition of f and g. For example, (g ∘ f)(c) = #. In mathematics, function composition is the application of one function to the resul … Wikipedia
Periodic points of complex quadratic mappings — This article describes periodic points of some complex quadratic map. This theory is applied in relation with the theories of Fatou and Julia sets.DefinitionsLet :f c(z)=z^2+c, where z and c are complex valued. (This f is the complex quadratic… … Wikipedia
