Sentence examples for directed sets from inspiring English sources

Apatow, who both wrote and directed, sets "Funny People" at two social and professional levels.

Let D1and D2be directed sets, and suppose that D1 × D2is directed by the relation ( d 1, d 2 ) ≤ ( d 1 ′, d 2 ′ ), which is defined by d 1 ≤ d 1 ′ and d 2 ≤ d 2 ′.

For every a 1, a 2 ∈ A, by the definition of upward directed sets, the pair of elements F ˜ ( a 1 ) and F ˜ ( a 2 ) has an upper bound in C S. Hence there exists a 3 ∈ A such that F ˜ ( a 1 ) ⊆ F ˜ ( a 3 ) and F ˜ ( a 2 ) ⊆ F ˜ ( a 3 ).

Two other distal tibiae from Hadar, Ethiopia, A.L. 333-6 A.L.A.L. 333-7 (Figure 6), have distinctly human-like anteriorly directed sets to the distal tibia, implying the presence of rearfoot arching.

However, it is in the opposite direction as expected, producing a less posteriorly directed set than that found in African apes (Figure 3).

Think of it as sleep-away camp for the preternaturally directed set.

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).

Conversely, let ( C S, ⊆ ) be an upward directed set.

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