Sentence examples for dual formulation from inspiring English sources

On the other hand, the sub-differential Eq. (4), discretized by (7), is formulated as a minimization that will be solved by the dual formulation [25].

The case of repeated eigenvalues is handled using a dual formulation.

The result is obtained by complementing the standard dynamic program with a novel dynamic dual formulation.

These results establish a simple, explicit dual formulation of isotropic finite hyperelasticity.

The medieval Zoroastrian treatises also describe another dual formulation, the two realms of creation and of reality: the mēnōk ("potential, embryonic, initial, heavenly, and invisible") and the gētīk ("realized, final, worldly, concrete, and visible").

Duality, a pervasive property of algebraic structures, holds that two operations or concepts are interchangeable, all results holding in one formulation also holding in the other, the dual formulation.

The dual formulations of the kinematic theorem are employed with the nodal stresses chosen as the optimization variables.

Firstly, we will briefly review the Bayesian and Variational dual formulations of current state-of-the-art methods dedicated to fetal MRI reconstruction.

In this paper, we consider two-dimensional crack deformations with strain gradient effect and establish the dual formulations in terms of potentials.

The computational experiments show that the proposed algorithm is much more efficient when the dual formulations are used to find the weights of the network neurons and that the obtained classifier has good levels of generalization accuracy.

For (FWVSEP), based on dual formulations, Ansari et al. [6, 7] proved the existence theorems under generalized pseudomonotonicity conditions.