Sentence examples for maximal it is from inspiring English sources

For an ideal α of K [ X 1, …, X n ] to be maximal, it is necessary and sufficient that there exists an x in L n such that α is the set of polynomials of K [ X 1, …, X n ] zero at x.

If a <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0013348.e204.PNG" class= inline-graphic"/> cannot be expanded by a node (i.e. it is maximal) it is returned as an output.

For Mike Paradinas, whose personal musical tastes ranged from the aesthetically minimal to the absurdly maximal, it was a time of creative growth and productivity.

Definition 10 (maximal e -CCC-Bicluster) An e-CCC-Bicluster A IJ is maximal if it is row-maximal, left-maximal and right-maximal.

This means S i ∈ < N e, SS) ∨ S i ∈ N (e, S↑) ∨ S i ∈ N (e, S↓), ∀ i ∈ I. Definition 15 (Maximal e -CCC-Bicluster with Scaled Patterns) An e-CCC-Bicluster with scaled patterns A IJ is <span class="lh">maximal if it is row-maximal, left-maximal and right-maximal.

A repeated pair is called maximal if it is left and right maximal.

Since the maximal phase difference between adjacent samples is always occurred where the slope of vibration displacement is maximal, it can be expressed as begin{array}{l}varDelta {phi}_{max }=frac{4pi {f}_0cdot 2a sin left(2pi {f}_vcdot varDelta eta /2right)}{c} kern2em =frac{fpi {f}_0a sin left(pi {f}_vcdot varDelta eta right)}{c}end{array} (14).

The later assigns a constant n-form 1 to each maximal n-dimensional simplex; a simplex being maximal if it is not contained in a larger simplex.

A clique is maximal if it is not contained in any other clique, and maximum if it is the largest maximal clique in the graph.

An itemset F is maximal, if it is frequent and none of its supersets is frequent.

A member of S is said to be maximal if it is not a subset of any other member of S. Zorn's lemma is the statement: Any collection of sets closed under unions of chains contains a maximal member.