Relation To The Fatou Set
The filled-in Julia set is the (absolute) complement of the attractive basin of infinity.
The attractive basin of infinity is one of the components of the Fatou set.
In other words, the filled-in Julia set is the complement of the unbounded Fatou component:
Read more about this topic: Filled Julia Set
Famous quotes containing the words relation to, relation and/or set:
“Science is the language of the temporal world; love is that of the spiritual world. Man, indeed, describes more than he explains; while the angelic spirit sees and understands. Science saddens man; love enraptures the angel; science is still seeking, love has found. Man judges of nature in relation to itself; the angelic spirit judges of it in relation to heaven. In short to the spirits everything speaks.”
—Honoré De Balzac (1799–1850)
“... a worker was seldom so much annoyed by what he got as by what he got in relation to his fellow workers.”
—Mary Barnett Gilson (1877–?)
“This book was written in good faith, reader. It warns you from the outset that in it I have set myself no goal but a domestic and private one.... I am myself the matter of my book.”
—Michel de Montaigne (1533–1592)