| 释义 |
Julia, n. Math.|ˈdʒuːlɪə|
[The name of Gaston Maurice Julia (1893–1978), Algerian-born French mathematician.]
Julia set, 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→z 2 + 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.
1976Canad. Jrnl. Math. XXVIII. 1211 We consider now those Julia sets which are sets of non-uniqueness and hence are very far from being Weierstrass sets. 1983Jrnl. Statistical Physics XXXIII. 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. 1986Nature 16 Oct. 590/2 For some values of the added constant, the Julia set is a connected fractal. 1990Sci. Amer. Apr. 15/1 He began using a computer to map out Julia sets, which are generated by plugging complex numbers into iterative functions. |