antichain
Word Rarity
Very rare
Frequency: 0.00 in modern English
14
Scrabble Score
9
Letters
2
Syllables
6
Unique Chars
Meaning
noun
A subset, A, of a partially ordered set, (P, ≤), such that no two elements of A are comparable with respect to ≤.
Example Sentences
- "First of all, Zorn's Lemma implies that every uncountable antichain in T is contained in a maximal uncountable antichain. So it suffices to make sure that T has no maximal uncountable antichains."
- "2013, Vijay K. Garg, Maximal Antichain Lattice Algorithms for Distributed Computations, Proceedings, Davide Frey, Michel Raynal, Saswati Sarkar, Rudrapatna K. Shyamasundar, Prasun Sinha (editors), Distributed Computing and Networking: 14th International Conference, ICDCN, Springer, LNCS 7730, page 245, We first define three different but isomorphic lattices: the lattice of maximal antichain ideals, the lattice of maximal antichains and the lattice of strict ideals."
Etymology
Etymology tree Proto-Indo-European *h₂ent- Proto-Indo-European *-s Proto-Indo-European *h₂énts Proto-Indo-European *-i Proto-Indo-European *h₂énti Ancient Greek ᾰ̓ντῐ́ (ăntĭ́) Ancient Greek ἀντι- (anti-)der. English anti- Proto-Italic *katesnā Latin catēna Old French chaeinebor. Middle English cheyne English chain English antichain From anti- + chain.
Inflected Forms
Phrases
maximal antichain