Sentence examples for minimal element for from inspiring English sources

We claim that x ∗ is also a minimal element for the relation ≺ in V ( G ), and hence a root of the graph G. Indeed, let x ∈ V ( G ) be such that x ≺ x ∗.

NELF-A deficient embryos failed to express reporters containing the minimal element for stripe #2 of the even-skipped gene, the 6.3 kb upstream element in the ftz-LacC reporter, and the NEE element of the dorsal-ventral patterning gene rhomboid (Figure 5).

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.

((F x), succeq )) is bi-inductive with a finite number of maximal elements and a finite number of minimal elements, for every (x in P).

The Routine Activity Theory suggests the minimal elements for a criminal event to occur are a motivated offender, a suitable target and a non-capable guardian, but the inclusion of these elements does not mean a crime will always occur [22].

In effect, very few doubt that "the principle of superiority of the law, a certain, albeit limited, ability to have the laws respected by the authorities in charge of this, the characteristics of non-retroactivity, generality, stability and clarity are minimal elements for the existence of any civil order".

Regardless what have been debating on the origin of life on earth, there are three minimal elements for the origin of life: macromolecules, compartmentalization and homeostasis that makes molecules, large or small, moving among the compartments in an organized fashion in the primordial Darwin's warm little pond [81].

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

So if it can be shown that \(\sT\) is strongly reductive,[12] Zorn's lemma will yield a minimal element of \(\sT\) and so a transversal for \(\sH\).

Let be a minimal element of.

Specifically, we call the minimal element of defined by a minimal vector, and that defined by a weak minimal vector.