Sentence examples for denotes the contribution of from inspiring English sources

By Lemma 1, R k denotes the contribution of the k th reaction to the deficiency of the approximate process.

where Adirect denotes the contribution of the parameters of interest belonging to the same dimension as follows.

where (Delta _{L_{a}+1} = left ({mathbf {r}}_{yx}^{(rn)}right)^{T} V(:, j^{ast } V(j^{ast }, :) {mathbf {r}}_{yx}^{(rn)}) denotes the contribution of the (L a +1 -th estimated active tap to the error e, and j∗ denotes the index of the L a -th estimated active channel tap.

since â k, k, 0, 0 [ − 2 M ] = 0 and â k, k, 0, 0 [ 0 ] = 1 due to the normalization of the prototype, and where nk,i=n k [ i M/2] denotes the contribution of additive noise on the amplitude samples of interesta.

For a network state s, we calculate a score for each cell cycle phase j, where i is one of the 27 cell cycle nodes, w ij is the weight denoting the contribution of the node i to the phase j if the node is "on", s i is the activity of node i (either 1 or 0).

where ({w_{{{boldsymbol {theta }}_{j}}}}phantom {dot {i}!}) denotes the contribution (weight) of pose θ j.

where D P and D S denote the contributions of the preamble and OFDM data, respectively.

(4), (6), (7) and (8), Eq. (3) finally reduces to (10) The last term on the right-hand side of Eq. (10) denotes the contribution from the slip-weakening friction law, without which a simple frictional contact formulation with a constant frictional coefficient is obtained.

Likewise, the second group of entries of w(E) denote the contributions to the ergodic limits of the resource distribution p ′(h).

Here ΔGbind denotes the contributions from the molecular mechanics (MM) energies of the molecules, and originates in contributions from internal energies, electrostatics (ΔGELE) and van der Waals (ΔGVDW) contributions.

The quantity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_0$$\end{document} hence denotes the scattering contribution of a single counterion that is independent of the energy of the incident radiation.