Sentence examples for derivation note from inspiring English sources

It can be shown that the solution that provides the maximum likelihood of the data conditional on some set of hyperparameters (p(Y|λ)) can be found by maximizing the free energy expression(see [ 24] for derivation) Note, that the free energy expression is similar to original weighted-least squares cost function expression (Eq. (13) with the addition of terms to penalize for large covariance terms.

These may be as reported, or derived by various means (see below), with the method of derivation noted.

Etymology: (Greek: derivation unclear) Note: Other taxa in TJM (1993) moved to Acmispon and Hosackia.

From the derivation, we note that a coherent feedforward network gives rise to an output which is a combination of the direct effect of the signal through one pathway, and the global average of the signal through another pathway.

There are three possible derivations of note.

Figure  5 presents the associated odds ratios for these sixteen items, with estimates provided for the derivation and validation samples (note, as there are no real differences between the two samples, this will be the last figure in this paper in which the validation results will be displayed).

In this note, the derivations of the higher order, 1-D (or 2-D), theories are discussed for the dynamic analysis of electroelastic (i.e., piezoelectric, piezothermoelastic and thermopiezoelectric) structural elements of uniform cross-section (or uniform thickness).

However, as is noted, the derivation of (17), (19) and (21) is based on the implicit assumption that λBS is positive.

Additional file 1: Contains Notes S1 (derivation of the functional form of the GAL network) and S2 (description of phenotypic switching rate characterization), and Tables S1, S2 and S3 (lists of model parameters and their values).

We note that quadratic derivations and ring derivations are different.

Note that the derivation of the other columns of item 32 is differed to Sect.