Sentence examples for has a maximal from inspiring English sources

Therefore, (mathscr{P}) has a maximal element.

Hence, f has a maximal fixed point.

From Zorn's lemma, cl ( C ) has a maximal element.

This means that G has a maximal path.

Hence, BVPHDEF (1) has a maximal solution on J.

By Zorn's lemma, ( X, ⪯ ) has a maximal element x ¯.

Hence, by Zorn's Lemma, has a maximal element.

Now, we prove that has a maximal element.

Then problem (1) has a maximal solution, u*, and a minimal one, u*, in S. Proof.

In analogy to Case 1, we know that (X, ≼) has a maximal point.

And by the Ekeland theorem, ((A,leq)) has a maximal element ((bar{x},bar{y})).