Sentence examples for by introducing the multidimensional from inspiring English sources

We first begin by introducing the multidimensional harmonic model, in section "Model setup".

On the other hand, the improved multidimensional folding (IMDF) scheme, which uses eigenvector instead of eigenvalue for estimating frequencies, can resolve identical frequency scenarios by introducing the randomness on the sample data [18, 19].

We begin by introducing the replicator dynamics.

In this section, we introduce the multidimensional harmonic retrieval model in the multi-way array form (also known as tensor form[29]).

It also shows how the matrix structure may be simplified by introducing an alternative (multidimensional) model that does not require a dual reporting structure.

By introducing substructure associated with the multidimensional propagation of Alfven waves, the MuSIC Riemann solver reduces the dissipation of Alfven waves that propagate at any angle with respect to the mesh.

Moreover, Ben Ahmed et al. [4] introduced the semantic multidimensional group recommendations.

This is accomplished by introducing a novel derivation of the multidimensional Riemann solver.

We proceed to extract multidimensional communities by introducing a mapping which transforms (mathcal {G}_{textit {cs}}) into a monodimensional weighted network W. Precisely, we assign as weight of an undirected link in W the total number of interactions (SMSs and calls) between the connected users.

Now, we introduce the definition of multidimensional Menger probabilistic metric spaces with the related triangular norm.

Using a third parameter d, we introduce the generalized elongated multidimensional herding attack.