Julia-set definition

jo͝olē-ə
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.
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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.
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Other Word Forms

Noun

Singular:
julia-set
Plural:
julia-sets

Origin of julia-set

  • After Gaston Julia (1893–1978), French mathematician

    From American Heritage Dictionary of the English Language, 5th Edition