Sentence examples for a fractional form from inspiring English sources

At first a sliding PD surface is designed and then, a fractional form of these networks PDα, is proposed.

In the new model, the Maxwellian is replaced by a fractional form, while the Navier Stokes and continuity equations are recovered.

Theorem 1 is proved in Appendix 1. From Theorem 1, we know that for an optimization problem with a fractional form objective function, there exists an equivalent objective function in subtractive form.

In the past few years, many authors have obtained various generalizations of this type of inequality and many researchers worked on a fractional form of it as well as on time scale calculus (see, for example, Refs. [15 18] and the references therein).

The parametric uncertainties are assumed to be of a linear fractional form, which includes the norm bounded uncertainty as a special case and can describe a class of rational nonlinearities.

The parametric uncertainties are assumed to be of a linear fractional form.

The uncertainties of the systems under consideration are expressed in a linear fractional form.

The results in ([17], Theorem 1) has revealed that there exists an equivalent optimization problem with an objective function in subtractive form for an optimization problem with an objective function in fractional form.

To solve the non-convex optimization problem under consideration, first, we transform the primal optimization problem in fractional form into a tractable parameterized subtractive form optimization problem.

The considered optimization is non-convex and hard to tackle; to solve it, we first transform the original objective function in fractional form into a parameterized subtractive form optimization problem [18,19].

This task can be simplified because the formulas for the parametric models all have a fractional linear form and are thus completely specified by the potency (EC50) and maximal induced activity (Amax).