Sentence examples for applying the comparison from inspiring English sources

Applying the comparison principle, we obtain (4.42).

By applying the comparison principle [20] to system (1.6), we have and in.

On the other hand, applying the comparison theorem again, denote Y1 as the solution of stochastic equation.

Applying the comparison principle with respect to the initial value of the variational inequality (see [16]), we obtain (3.21).

Our results are obtained by constructing monotone iterative sequences of upper and lower solutions and applying the comparison result.

By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.

But he also applied the comparison to "the Southern states imposing special disabilities upon Negroes".

In order to apply the comparison principle, we first make a change of variables to obtain a cooperative system.

19 To visually assess the presence of heterogeneity, small study effects, and bias (including publication bias) in the network, we applied the comparison adjusted funnel plot.

> -wrap-foot> We apply the comparison step of our pipeline using the control control classifier in order to identify possible similarities between the disease set and one of the control sets.

By (a), (b), and (ii), applying the classical comparison theorem, we have (3.6).