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The method consists in constructing a distance matrix based on the matching of all sample data pairs between the two time series.
After successful discrimination between the epicardial and LV and RV endocardial surfaces, the first stage in the fiber architecture algorithm of Potse et al. (39) involved constructing a distance map, which was used to define the transmural direction at every point within the tissue.
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As an application, we will construct a distance function on an n-times punctured sphere which is comparable with the hyperbolic distance.
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.
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.
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).
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.
Next, we constructed a distance matrix comparing the putative binding sites of all possible pairs of OR genes.
The resulting alignment was used to construct a distance matrix using the protdist program in PHYLIP [63].
To estimate distances between binding sites, we construct a distance matrix for the 22 amino acid residues of each binding site, utilizing Grantham indices [26].
We chose the Laplacian Exponential Diffusion Kernel because Köhler et al. (2008) already applied this kernel as a good performing kernel to construct a distance network [3].
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