Sentence examples for maximal element of from inspiring English sources

The hypothesis that is maximalizing can be weakened in Theorems 3.1 and 3.4 and in Proposition 3.2 to the form: is maximalizing, that is, is a maximal element of.

A mapping has a fixed point if is maximalizing, that is, is a maximal element of for all, and if exists in for some where is the w-o chain of -iterations.

Because is a maximal element of, then.

Let (underline {k}) be the maximal element of Λ f.

The point at which the process terminates yields a maximal element of \(P\).

Otherwise, let (underline {k}^{prime }) be the maximal element of (Lambda _{X}^{prime }).

So ( p, q ) is a maximal element of Ψ F ( y ) × ϒ F ( x ).

As is a maximal element of, ; that is, is a fixed point of.

In particular, under the usual pointwise ordering of functions, is the maximal element of.

From this general result, the maximal element of particular subsets of (S_{a}) can be deduced.

Let (underline {k} = (k_{1},ldots,k_{n})) be the maximal element of Λ.