Sentence examples for a directed set from inspiring English sources

Given a directed set and a -free filter ℱ of Λ, we say that ( F ) lim λ ∈ Λ d L ( f λ, f ) = 0 or ( F d L ) lim λ ∈ Λ f λ = f.

We can see that (S, ≽) is a directed set.

Let us recall the definition of a directed set.

(Note that a left reversible semigroup is a directed set).

Let (mathbb{X}) be a nonempty set, and ((Lambda,prec )) a directed set.

Let be a totally ordered subset in, where is a directed set.

D is an upward directed IVF soft set over U. C S = { F ˜ ( a ) | a ∈ A } is an upward directed set with respect to ⊆. ( F ˜, A ) ∨ ( F ˜, A ) = J ( F ˜, A ). ( F ˜, A ) ∨ ( F ˜, A ) ⊆ ˜ J ( F ˜, A ). Proof According to Proposition 4.6 and Proposition 4.7, we have (1) ⇔ (2) and (1) ⇔ (3), respectively.

However, variation likely exists in the S. African hominins given what appears to be a posteriorly directed set in a published photograph of the tibia from "Little Foot" StW 573 [41].

Recall that a nonempty set A together with a preorder ≤ is called an upward directed set if every pair of elements in A has an upper bound.

This is a considerably higher percentage than previous studies which found a posteriorly directed set in only 1.5% of a large skeletal sample [20].

There was no statistically significant difference in the calcaneal inclination angle between those with a posteriorly directed set and those with an anteriorly directed set.