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Lexicographic order

Noun

Definiciones

1.NounFormally, 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′).
2.NounGiven sets (A1, A2, ..., An) and their total orderings (<1, <2, ..., <n), the order < of A1 × A2 × ... × An such that (a1, a2, ..., an) < (b1,b2, ..., bn) iff (∃m > 0) (∀ i < m) (ai = bi ) and (am <m bm )
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