Sentence examples for alternate formulation from inspiring English sources

This alternate formulation is used to suggest iterative methods for approximate solvability of variational inequality problems.

This alternate formulation enables us to suggest some iterative methods for computing the approximate solution.

To address this problem, an alternate formulation of the optimization problem is required.

As just noted, on its surface the material-objective distinction looks to be simply an alternate formulation of the formal-objective reality distinction.

Suykens and Vandewalle (1999) proposed the least-squares support vector machine (LS-SVM) model as an alternate formulation of the SVM regression.

All the obtained results have been verified with an alternate formulation based on the assumed mode method with polynomial shape functions.

Due to these undesirable properties, there is a need to explore alternate formulations.

Thus, there is still a need to explore alternate formulations for paclitaxel and poorly soluble compounds in general.

However, as we are interested in a fast rendering of diffraction, we prefer to look into alternate formulations.

Alternate formulations of the interfacial path forces, based on direct and indirect methods, are derived.

Additionally, the gas behavior departs from that of an ideal-gas and alternate formulations for non-ideal gas must be introduced.