Sentence examples for properties of distance from inspiring English sources

We define the distance measure d s, t)=1 − P +1| s, t) even though the conditional probability P +1| s, t) does not hold the properties of distance measures.

Section 2 is devoted to the convergence properties of distances for such contractive conditions which involve both cyclic self-mappings.

This paper is concerned with the investigation of convergence properties of distances and the existence/uniqueness of common fixed points/common best proximity points of two 2-cyclic self-mappings (refereed to simply as cyclic self-mappings) on the union of two subsets A and B of a metric space under three contractive conditions.

On the other hand, important attention has been paid during the last decades to the study of the convergence properties of distances in cyclic contractive self-mappings on p subsets A i ⊂ X of a metric space ( X, d ), or a Banach space ( X, ∥ ∥ ).

To do this, we use divergence plots and supernetworks to examine the tree-like properties of distances calculated from AFLP profiles and the extent of phylogenetic congruence in the AFLP data derived from four independent primer combinations.

In-feed conditions jeopardize security in the power system due to the non-adaptive property of distance protection system and provide an obscure view of the system conditions.

for all by using the triangle property of distances and Theorem 2.10(i).

Note from direct inspection of Definition 1.2 and the triangle property of distances that if has the -property then for any.

Hence, clustering results derived through distance-dependent algorithms basically depend upon two properties of a distance measure: (1) trajectory and (2) flexibility.

In this work, we explore the theme of the optimal choice of distances for analysis of gene expression profiles and make a case for a close fit between the mathematical properties of the distance measure and the biological question at hand.

The IBS can be reflected by the fact that the statistical properties of a distance series of a given codon in one half of the prokaryote chromosome are similar to the corresponding distance series of its reverse complementary codon in the other half [37].