Sentence examples for section for derivation from inspiring English sources

Given I j,G,F are all three-color vectors, we end up with four as follows (see Appendix section for derivation): σ e 2 R I j - 1 + O d 3 ( 1 - α j ) 2 I j = σ e 2 R I j - 1 I ¯ j + ( 1 - α j ) G (5) α j = ( G - I j ) T ( F - I j ) | | F - I j | | 2 (6).

After monitoring the competitive growth of the mutants in the turbidostat for about 30 generations, we calculated the relative change in the log.-transformed abundance of mutants in the pool with respect to time: FCC ' = d (l n X ) d t (see Methods section for derivation).

If we can assume that all features are independent (i.e., the events ' ' are independent for ), we obtain (1) where (see the Supplementary section S3 for derivation).

This would suggest if we use the double value of the cross section for the derivation of conductivities, the agreement between derived conductivities by photometer and EISCAT will be better.

To remain the effective proportion equal to that without weighting, the sensitivity and specificity have to be equal (see the Discussion section for the derivation).

This is the methodology we propose in the following section for the derivation of particular Runge-Kutta methods with s steps.

The absolute magnitude of the optical forces is determined by the power of the incident laser beam; see the Methods section for the derivation.

With some reasonable assumptions (which will be explained in details in the next section), we can show that these three functions are governed by the following system of nonlinear ordinary differential equations (see next section for the derivation of these differential equations): where r is the infection rate and a the removal rate of infectives.

See Table  5.> -wrap-foot> astatisticalical methods section for description of derivation of this latent variable bEx-drinkers plus life-long abstainers combined cExcludes men who drank non-beverage alcohols, as it was not possible to quantify the volume of ethanol from this source.

Now the condition for the population to move to a mutation selection balance becomes (10) E (T ) < 1 + s s + μ (see <span class="lh">section S3, File S1 for derivation).

Finally, the concluding remarks with future scope of similar works are suggested in a separate section and the necessary input for derivation of the experimental data is presented at the "Appendix".