A possible refinement of this approach is the inclusion of probability distributions for the anticipated positional changes [ 13, 14].
Aside from possible refinement of this distinction, its application to PCET may be subtle because the time scale of the proton motion, compared to that of the electron motion, is closer to the time scale range of the solvent dynamics.
One possible refinement of dichotomous intermediate outcome measures is the clinical action measure.
As another possible refinement of SEMD, we would like to investigate intermittence problem of mode mixing, which means that different modes of oscillations coexist in a single IMF.
When there are several different Nash equilibria, how is a rational agent to decide which of the several equilibria is the "right one" to settle upon?[5] Attempts to resolve this problem have produced a number of possible refinements to the concept of a Nash equilibrium, each refinement having some intuitive purchase.
Our results yield best possible refinements of such (limiting) Sobolev inequalities as those of Trudinger, Strichartz, Hansson, Brézis, and Wainger.
Furthermore, we looked for possible refinements of established structural alerts.
Here we will consider a number of such possible explications, starting with what one might term the "textbook version of abduction," which, as will be seen, is manifestly defective, and then going on to consider various possible refinements of it.
Let us consider possible refinements of inequality (20) by a real analytical function (varphi _{a}(x) = ( frac{sin x}{x} ) ^{ a}) for (x in ( 0,delta ) ) and (a in mathbb{R}).
