Sentence examples for greatest elements with from inspiring English sources

(c) (mathcal{S}) has least and greatest elements with respect to the ordering '≤', that is, there are (u_, u^inmathcal {S}) such that (u_leq uleq u^), for all (uinmathcal{S}).  .

(mathcal{S}) has least and greatest elements with respect to the ordering '≤', that is, there are (u_, u^inmathcal {S}) such that (u_leq uleq u^), for all (uinmathcal{S}).

We are going to show that possesses the smallest and the greatest element with respect to the given partial ordering.

Then conditions on f guarantee by application of Theorem 2.6 that this problem has solutions in ([xi,eta]) with least and greatest elements inside this set.

An element x in S is a "greatest" element of S with respect to a binary relation R if and only if (iff) for all y, if x in S, then xRy.

Iodine combines directly with many elements.

Although participants in Arrest Referral might receive lesser sentences for entering treatment, more recent interventions have even greater coercive elements with lesser judicial penalties in return for treatment compliance [ 11].

They gave some equivalent conditions, under which a derivation is isotone for lattices with a greatest element, modular lattices and distributive lattices, respectively.

Let ( L, ∧, ∨, 0, 1 ) be a complete lattice with the least element 0 and the greatest element 1.

L has no greatest element.

For me an outsider to Rent and the cultish, fanatic subculture it left in its spawn Dawson seemed like the one near-perfect thing about a movie filled with less-than-great elements.