Definitions from Wiktionary (lexicographic order)
▸ 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, ..., <ₙ), the order <ᵈ of A₁ × A₂ × ... × Aₙ such that (a₁, a₂, ..., aₙ) <ᵈ (b₁,b₂, ..., bₙ) iff (∃m > 0) (∀ i < m) (aᵢ = bᵢ ) and (aₘ <ₘ bₘ )
▸ Words similar to lexicographic order
▸ Usage examples for lexicographic order
▸ Idioms related to lexicographic order
▸ Wikipedia articles (New!)
▸ Words that often appear near lexicographic order
▸ Rhymes of lexicographic order
▸ Invented words related to lexicographic order
▸ 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, ..., <ₙ), the order <ᵈ of A₁ × A₂ × ... × Aₙ such that (a₁, a₂, ..., aₙ) <ᵈ (b₁,b₂, ..., bₙ) iff (∃m > 0) (∀ i < m) (aᵢ = bᵢ ) and (aₘ <ₘ bₘ )
Similar:
total order,
shortlex,
binary relation,
order,
ordered set,
strict ordering,
lattice,
directed set,
partial ordering relation,
well-order,
more...
Opposite:
▸ Words similar to lexicographic order
▸ Usage examples for lexicographic order
▸ Idioms related to lexicographic order
▸ Wikipedia articles (New!)
▸ Words that often appear near lexicographic order
▸ Rhymes of lexicographic order
▸ Invented words related to lexicographic order