Sentence examples for reciprocal transformations from inspiring English sources

To normalize the skewed distributions, logarithmic transformations or reciprocal transformations were applied when needed.

Latency to reach the food data were right skewed and were transformed using a reciprocal transformation.

The dependent variables were transformed using logarithmic, squared, or reciprocal transformation when required.

To fit the residuals of our model to a normal distribution we transformed all our variables as follows: for the approach latency we used reciprocal transformation when analysing the data of the alone and pair conditions and the inverse square root for the pack condition data.

Chen et al. [3] established a reciprocal transformation between the two-component Camassa-Holm system and the first negative flow of the AKNS hierarchy.

SUVmean of the muscles showed a skewed distribution (>1), which is why a reciprocal transformation was carried out prior to the analysis.

through the reciprocal transformation (this is often called the hodograph transformation in many literatures) x=X_{0}+int_{X_{0}}^{X}rho tilde{X},T) dtilde{X},quadd t=T,, (4).

In [2], Hone and Wang gave a matrix Lax pair for the Novikov equation and showed how it was related by a reciprocal transformation to a negative flow in the Sawada-Kotera hierarchy.

These results are consistent with the XRD identification (Fig. 8), further indicated the influence of oxygen in air on the oxidation rate of Fe2+ and the reciprocal transformation of ferric oxides, such as goethite and lepidocrocite.

Chen et al. [35] obtained solutions of (1.3) by a reciprocal transformation between (1.3) and the first negative flow of the AKNS hierarchy and stated some examples of peakon and multikink solutions of (1.3).

By using the prolongation algebra method, Hone and Wang [3] gave a matrix Lax pair and many conserved densities and a bi-Hamiltonian structure of the Novikov equation, and they showed how it was related by a reciprocal transformation to a negative flow in the Sawada-Kotera hierarchy.