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′).
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 )
Modern English dictionary
Explore and search massive catalog of over 900,000 word meanings.
Word of the Day
Get a curated memorable word every day.
Challenge yourself
Level up your vocabulary by setting personal goals.