Julian.
/ˈdʒuːlɪə/, U.S. /ˈdʒuljə/, /ˈdʒuliə/ Mathematics.
Julia set n. the set of complex numbers z which do not stay within a bounded region of the complex plane when a given mapping, esp. one of the form z→z2 + c (where c is a constant complex number), is repeatedly applied to them. Also, the boundary of such a set; a diagrammatic representation of such a set.
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the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set
set1857
interval1902
intersection1909
union1912
lattice1933
matroid1935
closure1937
Steiner triple or triplet system1939
recursive set1943
convex hull1951
power set1953
convex envelope1964
Steiner system1966
Julia set1976
Mandelbrot set1984
1976 Canad. Jrnl. Math. 28 1211 We consider now those Julia sets which are sets of non-uniqueness and hence are very far from being Weierstrass sets.
1983 Jrnl. Statist. Physics 33 560 The Julia set of a renormalization transformation is nothing but the limiting set of all the zeros in the complex plane of the partition function.
1986 Nature 16 Oct. 590/2 For some values of the added constant, the Julia set is a connected fractal.
1990 Sci. Amer. Apr. 15/1 He began using a computer to map out Julia sets, which are generated by plugging complex numbers into iterative functions.
This entry has not yet been fully updated (first published 1997; most recently modified version published online March 2022).
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n.1976