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lexicographic order

Definitions

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

  • noun mathematics Formally, given two partially ordered sets A and B, the order ≤ on the Cartesian product A × B such that (a,b) ≤ (a′,b′) if and only if a < a′ or (a = a′ and b ≤ b′).
  • noun mathematics Given sets (A1, A2, ..., An) and their total orderings (<1, <2, ..., 0) (∀ i < m) (ai = bi ) and (am

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