Sentence examples for augmenting the dimension from inspiring English sources

In this paper, a modified simple penalty function is proposed for a constrained nonlinear programming problem by augmenting the dimension of the program with a variable that controls the weight of the penalty terms.

By augmenting the dimension of the program with an additional variable ε that controls the weight of the penalty terms, this new penalty function enjoys properties of smoothness and exactness, and remains bounded below under reasonable conditions.

The designed controllers have no action when the system is in steady state, due to a particular modification made in the model equations (which does not augment the controller dimension).

The (n + 2 -dimensional representational space can also be constructed by augmenting the regular n Euclidean dimensions with two special dimensions, for which a basis is formed by two vectors that are orthogonal.

The results confirm a number of observations: (1) frequency is an important dimension in defining instrumental timbre; (2) augmenting the frequency axis with rate or scale dimensions provides improvement to the classifier accuracy; (3) including all three dimensions of rate, scale, and frequency further improves the accuracy results on solo notes.

A considerable effort should be directed towards augmenting the existing models by a third dimension.

By only using the latter class, we could augment the analysis with a temporal dimension.

Thus, we encourage other GSE researchers to look at GSE projects from other perspectives (e.g. coordination, testing and effort estimation) to identify potential new dimensions that can augment the representativeness of our proposal.

So I'd augment the system with asterisks for the vertical dimension.

RQ1: What dimensions are needed to augment the usefulness of Smite et al.'s taxonomy?

The following research questions drove the work reported in this paper: RQ1: What dimensions are needed to augment the usefulness of Smite et al.'s taxonomy?