Sentence examples for span of root from inspiring English sources

In particular, for every α, τ there is a constant c such that inf { ∥ u − u 0 ∥ L q : u 0 ∈ R t } ≤ c t − α ∥ u ∥ B 1, τ α , u ∈ B 1, τ, { B j } α , where R t is the complex linear span of root subspaces { R ( λ n ) : | λ n | < t } of the operator (19).

Let denote the closure of the linear span of the root vectors of the linear operator.

Average gene family sizes for species in study based on 11,250 clusters that span the root of the species tree in Fig. 1. (PDF 3384 kb) Additional file 2: Supplemental Literature.

Our taxon sampling does not span the root nodes of the Phallomycetidae, Cantharellales, and Sebacinales, however, and the design of our study enables us only to reject hypotheses of homology of the ECM habit.

Second, a Baltic amber fossil classified as a cladonychiid [Protoholoscotolemon; 51], which dates from 38 54 Ma, was used as a minimum estimate for all Travunioidea (cladonychiids span the root node of Travunioidea in BEAST topologies, Fig. 5).

Mr. Rattray is the fifth member of his family to edit the newspaper over the span of three generations, with roots in the community since the 1600s.

Only gene families that spanned the root of the tree in Fig. 1 were used; this included 11,250 of the 12,748 Phytozome gene families.

The occupation, by successive imperial powers, forged the country out of a disparate group of tribal cultures, essentially different peoples with very similar roots, and a span of religious beliefs that often have been at war with one another for centuries.

For the case of static networks, Humblet [14] defines the concept of rooted spanning trees over strongly connected directed networks.

In the span of approximately two years, Colton Haynes ditched his MTV and CW roots, came out, fired his management and took some time off.

Nevertheless, the concentrations of urea within maize tissues, roots or shoots, were significantly different during the time span of the experiment.