Sentence examples for construct a distance from inspiring English sources

As an application, we will construct a distance function on an n-times punctured sphere which is comparable with the hyperbolic distance.

In this section, we construct a distance function on an n-times punctured sphere (X={widehat{mathbb {C}}}{setminus }{a_1,dots, a_n}.) As we noted, X is hyperbolic if and only if (nge 3).

4, we will construct a distance function (d_X(w_1,w_2)) on n-times punctured spheres X which are comparable with the hyperbolic distance (h_X(w_1,w_2).) We will summarise our main results in Theorem 4.2.

The aligned sequences were used to construct a distance matrix, after the generation of 100 bootstrap sets that was subsequently used to construct a phylogenetic tree, by neighbor-joining method, using TREECON software.

We are now ready to construct a distance function on X. Set begin{aligned} D_j(w_1, w_2)= {left{ begin{array}{ll} rho _jD((w_1-a_j)/tilde{rho }_j, w_2-a_j)/tilde{rho }_j) & text {if}quad j=1, w_2-a_j1, rho _n D(tilde{rho }_n/tilde{rho{rho }_j/w_2) & text {if}quad j=1 end{array}right.

The resulting alignment was used to construct a distance matrix using the protdist program in PHYLIP [63].

These data were used to construct a distance-matrix tree which shows the relative relatedness of all strains based on essentially whole genome gene possession data.

The method consists in constructing a distance matrix based on the matching of all sample data pairs between the two time series.

Next, we constructed a distance matrix comparing the putative binding sites of all possible pairs of OR genes.

We then constructed a distance matrix by computing the Euclidean distance between the 4D vectors representing each continental division.

Using their completed characteristics chart, each group constructed a distance matrix incorporating the number of differences between each species pair for three selected characters (see Table S2).