DISTRIBUTIVE LATTICE
\dɪstɹˈɪbjuːtˌɪv lˈatɪs], \dɪstɹˈɪbjuːtˌɪv lˈatɪs], \d_ɪ_s_t_ɹ_ˈɪ_b_j_uː_t_ˌɪ_v l_ˈa_t_ɪ_s]\
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A lattice for which the least upper bound (lub)and greatest lower bound (glb) operators distribute over oneanother so thata lub (b glb c) == (a lub c) glb (a lub b)and vice versa. ("lub" and "glb" are written in LateX as \sqcup and\sqcap).
By Denis Howe
Word of the day
sir richard blackmore
- An English physician poet; born in Wiltshire about 1650; died 1729. Besides medical works, Scripture paraphrases, satirical verse, he wrote Popian couplets "Prince Arthur, a Heroic Poem"(1695), and voluminous religious epic, "The Creation"(1712), very successful much praised then, but not now read.