Sentence examples for minimal essential subset from inspiring English sources

Theorem 3.5 For each q ∈ M, every minimal essential subset of Λ ( q ) is connected.

Theorem 3.5 For each w ∈ M, every minimal essential subset of S ( w ) is connected.

Theorem 3.8 For each F ∈ M ′, there exists at least one minimal essential subset of S ( F ). Theorem 3.9 For each F ∈ M ′, every minimal essential subset of S ( F ) is connected.

Proof By Theorem 3.5, there exists at least one connected minimal essential subset m ( q ) of Λ ( q ).

Proof By Theorem 4.1, there exists at least one connected minimal essential subset m ( q ) of F ( q ).

Proof For each w ∈ M, let m ( w ) ⊂ S ( w ) be a minimal essential subset of S ( w ).

Critically, minimal essential subsets of hydrolases have now been identified in several model organisms, enabling the reduction of genetic complexity.

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.

"Quitman is down to those minimal essential services it's essential to have to run a county -- the county library, the county school," she said.