Sentence examples for be a minimal element from inspiring English sources

Let be a minimal element of.

Therefore, D = ∏ β ∈ Γ D β ∈ F. Let A = ∏ β ∈ Γ A β ⊂ D be a minimal element of ℱ.

A mapping has a fixed point if is minimalizing, that is, is a minimal element of for all, and if exists in for some whenever is a nonempty chain in.

Since x ∗ is a minimal element in ( V ( G ) ε 0, ≺ ∗ ), we get x = x ∗.

DMU E is a minimal element of partially ordered set ({A, B, C, D, E}), so it is efficient.

We will say that a ∈ A is a minimal element of A if and only if b ≺ a implies b = a.

An essential set m of F ( u ) is said to be a minimal essential set of F ( u ) if m is a minimal element of the family of essential sets in F ( u ) ordered by set inclusion.

An essential subset m ( q ) ⊂ F ( q ) is said to be a minimal essential set of F ( q ) if it is a minimal element of the family of essential sets in F ( q ) ordered by set inclusion.

An essential subset m ( w ) ⊂ S ( w ) is said to be a minimal essential set of S ( w ) if it is a minimal element of the family of essential sets ordered by set inclusion.

An essential subset m ( q ) ⊂ Λ ( q ) is said to be a minimal essential set of Λ ( q ) if it is a minimal element of the family of essential sets ordered by set inclusion.

Remark 4.1 (i) The above corollary tells us that L is a minimal element of E − ( A, G ) and it is a maximal element of E + ( A, G ) : this rejoins the fact that L is ( A, G ) -stabilizable.