English Explanatory Dictionary

Ducci sequence

English dictionary entry

Meanings

noun
  1. A sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),.

Word forms

Ducci sequence Ducci sequences

Etymology

Named after Italian mathematician Enrico Ducci (1864–1940), who discovered in the 1930s that every such sequence eventually becomes periodic.

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