Sentence examples for set x on from inspiring English sources

For simplicity, we set x on a scale (i.e. a physical unit of x) so that b=1.

Input: set T of unrooted gene trees, each leaf-labelled by species set S, and set X of bipartitions on S. Output: tree T on species set S that draws its bipartitions from X such that is maximized, where Q(T) is the set of quartet trees induced by T and w (q, T ) is the number of the trees in T that induce quartet topology q.

Given a partial order ⪯ on a set X, one can consider the class of ⪯-preserving real functions on X characterized by x ⪯ y implies f ( x ) ≤ f ( y ).

INPUT: rooted binary phylogenetic tree T on leaf set X, characters fand f d on X, Abelian group Σ. STEP 1: Using Remark 1, find the substitution type σ i which translates f j into f j d for all positions j=1,…,| X|.

The function C X) denotes the total contribution to the support of the best rooted tree T X on taxon set X, where each quartet tree in the set of input gene trees contributes 0 if it conflicts with T X or only intersects it with one leaf, and otherwise contributes 1 or 2, depending on the number of nodes in T X it maps to.

Let T be a rooted binary phylogenetic tree on taxon set X and let f be a character that evolved on T due to some evolutionary model and let f d be another character on X.

For an infinite discrete set X, we consider operators acting on Hilbert spaces of functions on X, and their representations as infinite matrices; the focus is on ℓ2(X), and the energy space HE.

In this section we prove some fixed point results for a mapping f : X → X in a partial ordered set X with a metric defined on it.

(1) Here, indicates the length of the tree estimated from data set Y, imposed on data set X.

Given the input set of gene trees, ASTRAL-2 defines a set X of bipartitions on the taxon set S; when all the gene trees are complete (i.e., have no missing taxa), then X will contain all the bipartitions from the input gene trees as well as potentially other bipartitions.

Then S is an isomorphism onto a BA of subsets of the set X of all ultrafilters on A. This establishes the basic Stone representation theorem, and clarifies the origin of BAs as concrete algebras of sets.