Formal Definition
The filled-in Julia set of a polynomial is defined as the set of all points of the dynamical plane that have bounded orbit with respect to
where :
is the set of complex numbers
is the -fold composition of with itself = iteration of function
Read more about this topic: Filled Julia Set
Famous quotes containing the words formal and/or definition:
“True variety is in that plenitude of real and unexpected elements, in the branch charged with blue flowers thrusting itself, against all expectations, from the springtime hedge which seems already too full, while the purely formal imitation of variety ... is but void and uniformity, that is, that which is most opposed to variety....”
—Marcel Proust (1871–1922)
“I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)