Sentence examples similar to as a minimal element from inspiring English sources

Analogously, we can prove the existence of a minimal element.

The proof for the existence of a minimal element of S is analogous.

However, it is not clear what are the minimal assumptions in X and ϕ which ensures the existence of a minimal element.

We thus define temporal subnet H'(x) at time point x as such a minimal element set consisting of usable HFPNe elements involving: (1) enabled arcs; (2) transitions connected by (1); and (3) places connected by (1) and places connected from (2).

Since, we can replace by in the above assertions to obtain a minimal element in the sense, where ia defined here as (2.3).

A contains a minimal element.

(1) A contains a minimal element.

Let be a minimal element of.

We show that has a minimal element.

Then Γ has a minimal element.

Similar to the definition of maximal element, a minimal element of A can be defined.