Sentence examples for maximal elements of from inspiring English sources

Max-closedness asks that maximal elements of the closure of a set already lie on the set.

It is now easy to see that the maximal elements of \(P\) with respect to the partial ordering \(\le\) are precisely the choice functions on \(\sA\).

Now let ([c_1], ldots, [c_n]) be the maximal elements of (C/{sim }), and pick a vertex (v_i) in each cycle (c_i).

The collection of all maximal elements of A is denoted by MaxA, that is, Max A = { y ∈ A : x ∈ A  and  x ≽ y  imply  y ≽ x }.

It is a contradiction to the assumption that { u 1, u 2, …, u m } is the collection of all maximal elements of A. The claim is proved.

The minimal and the maximal elements of (Delta^) are (epsilon_{infty}) and (epsilon_{0}), respectively, where epsilon_{infty}(t)= left { textstylebegin{array}l@{quad}l}0, & mbox{if }0leq t< infty, 1, & mbox{if }t=infty, end{array}displaystyle right.

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.

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.

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 \(P\).