Sentence examples for simple transformations and from inspiring English sources

After a number of simple transformations and numerical simulation, for the close-to-bottom energy levels of the spectrum (when the particle is predominantly localized in the regionr ≪ a) one can obtain the following power series expression with high degree of accuracy: (9).

Using simple transformation and piecewise linear approximation, the model is linearized and solved to ϵ-optimality using a constraint generation method.

A) A simple transformation and the distribution of its effect on the octanol/water partition coefficient.

This method, which follows Dennis et al. (1991), involves two steps: (i) calculating simple transformations of the counts and years in which the counts were taken; and (ii) performing linear regression, setting the regression intercept to zero and obtaining estimates of µ and σ (Morris et al. 1999).

Each feature of the set is obtained by applying different simple transformations to the original amplitude and phase values, as defined in expression (13).

The restricted cubic splines were plotted and approximated with simple transformations.

Figure 14 shows a histogram of pair deltas for the octanol/water partition coefficient and aquatic toxicity for two simple transformations.

After simple transformations, one can obtain the following expressions for the wave function and electron energy, respectively: (10) (11).

Analyses were performed with SPSS version 9. Correlations and general linear models were applied after appropriate simple transformations.

Figure 1 presents a four-species tree on which EDGE and HEDGE return different static species rankings under two simple transformations of fictional Red List categories (see Figure 1 legend).

But learning effective representations from the data (or from simple transformations such as short term spectral energy) has often been shown to be very powerful.