Relation Between Julia, Filled-in Julia Set and Attractive Basin of Infinity
The Julia set is the common boundary of the filled-in Julia set and the attractive basin of infinity
where :
denotes the attractive basin of infinity = exterior of filled-in Julia set = set of escaping points for
If the filled-in Julia set has no interior then the Julia set coincides with the filled-in Julia set. This happens when all the critical points of are pre-periodic. Such critical points are often called Misiurewicz points.
Read more about this topic: Filled Julia Set
Famous quotes containing the words relation, julia, set, attractive and/or infinity:
“You know there are no secrets in America. It’s quite different in England, where people think of a secret as a shared relation between two people.”
—W.H. (Wystan Hugh)
“The great, the fundamental need of any nation, any race, is for heroism, devotion, sacrifice; and there cannot be heroism, devotion, or sacrifice in a primarily skeptical spirit.”
—Anna Julia Cooper (1859–1964)
“What is love itself,
Even though it be the lightest of light love,
But dreams that hurry from beyond the world
To make low laughter more than meat and drink,
Though it but set us sighing?”
—William Butler Yeats (1865–1939)
“... when you do get a job everybody says, “Well, they wanted a black woman,” which necessarily puts you on a level where you have to prove yourself above being a woman and being black.... Now, I would say, in certain situations, it helped me simply because I was mildly attractive, not because I was black or a woman. That gets you more mileage than anything else.... God help you if you’re not an attractive woman.”
—Theresa Brown (b. 1957)
“The poetic notion of infinity is far greater than that which is sponsored by any creed.”
—Joseph Brodsky (b. 1940)