Julia set


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Ju·li·a set

 (jo͞o′lē-ə)
n.
For any holomorphic function on a complex plane, the boundary of the set of points whose result diverges when the function is iteratively evaluated at each point.

[After Gaston Julia (1893-1978), French mathematician.]
References in periodicals archive ?
Each attractor is characterized by a radius of convergence, which is a Julia set possessing a unique structure.
It is also illegal to possess " Julia set about learning everything she coul mussels or pearls collected.
(k=0)] is equicontinuous with respect to the chordal metric and the Julia set is defined as the complement of the Fatou set.
One of the basic notions in the fractal theory connected to iterative processes and convergence of an iterative function f is Julia set for the proposed operator L.
Note that the Julia set of a nonlinear map R(z), denoted J(R), is the closure of the set of its repelling periodic points.
The original Julia set, for example, used by Mandelbrot, is based on iteration with complex numbers, possibly a Year 11 or 12 topic.
Julia set up the charity after the death of a close friend's little girl Cameron Lord at the age of two, and of the death not long before of the tot's small cousin, Hayden Lord.
A Julia set consists of those orbits that hop around or cycle between various values.
functions, multiplied by in, is displayed in Figure 1.1 for a singular continuous measure supported on a real Julia set (to be introduced in the following).
By making understandable topics ranging from common fractions to a Julia set, Darling ushers readers into the world of recreational mathematics.
They may have gotten there anyway, but Julia set the standard and laid the groundwork.
Julia set up Wu Cosmetics six years ago, making products from traditional Chinese herbal ingredients.