Sentence examples for under the same generalized from inspiring English sources

Finally, viewing the various methods under the same generalized framework allows us to extend the SNR modifications of the weakly penalized form to the penalty approach, significantly improving the computational performance of the scheme.

Reactions that share the same generalized reactants and the same generalized products, are considered equivalent and are factored together into a generalized reaction.

Lemma 2. Two trees have the same spectrum for their generalized Laplacian if and only if they have the same generalized Laplacian immanantal polynomial for all characters.

Each leaf partition (node) stores the set of data records having the same generalized block values.

One direction is trivial: if two trees have the same generalized Laplacian immanantal polynomial for all characters, then their generalized Laplacians have the same characteristic polynomial and hence the same spectrum.

The same generalized linear mixed model will be used with the indicator of TMCP group as the key independent variable.

Moreover, it is possible, by using similar arguments as those already used in this section, to show that all the functionals (mathcal {V}, mathcal {W}) and (mathcal {F}) are also convex along generalized geodesics under the same assumptions.

In addition, under the same condition, the Bregman projection P C f ( x ) reduces to the generalized projection Π C ( x ) (see, e.g., [2]) which is defined by ϕ ( Π C ( x ), x ) = min y ∈ C ϕ ( y, x ).

With a generalized slicing tree, a hypergraph is generated according to the cores' legal voltage levels, which is favorable to cluster cores working under the same voltage level together so that the called NSVIs can be generated easily.

"Everybody's playing under the same conditions.

Language naturally comes under the same microscope.