Sentence examples for this equivalence to from inspiring English sources

This study extends this equivalence to American options.

In the next section we use this equivalence to prove the existence and uniqueness of solutions.

Here, we have extended the study of this equivalence to American options.

We use this equivalence to study the sensitivity analysis of the general nonconvex variational inequalities.

A representation M in R ′ is strongly regular if and only if M corresponds under this equivalence to a cyclic k [ T ] -module.

We use this equivalence to develop sensitivity analysis for the nonconvex variational inequalities without assuming the differentiability of the given data.

Ekeland's principle has been shown equivalent to other optimization statements, in particular, and of interest in this paper, is the equivalence to an optimization criterion of Pareto (see [11]) for which the existence of optima (critical points for dynamical systems) has been shown in complete metric spaces (see [12]).

We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality involving multivalued relaxed monotone operators.

It consists of two steps: 1. replacement of a complex virtual circuit by a simplified equivalence and 2. connecting this simplified equivalence to a bi-directional power interface allowing interactions between the real and virtual circuits.

37 Based on the average exchange rate for USD to SEK in 2008/09 (7.123) this indicates equivalence to approximately SEK712,300 which would encompass all the quality-adjusted lifetime horizon estimates generated by the comparisons carried out here.

This work extends this equivalence relation to continuous stress strain curves in polyethylene for isothermal deformation states.