Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • noun For any holomorphic function on a complex plane, the boundary of the set of points whose result diverges when the function is iteratively evaluated at each point.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun In the mathematical context of complex dynamics, a set consisting of values generated by a mathematical function such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values.

Etymologies

from The American Heritage® Dictionary of the English Language, 4th Edition

[After Gaston Julia, (1893–1978), French mathematician.]

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