Sentence examples for wise partial from inspiring English sources

Also, this component wise partial derivative, is uniformly upper bounded by, ∂f ∂Θ Θ, Π ( i, y ) ≤ c ′′ ε 0 y + 1 for all ( i, y ), all Θ, where the constant c ′′ depends on |Π|.

So by dominated convergence theorem, the limit lim Θ h → 0 (which arises while defining the partial derivate) can be taken inside the integral for every i,j,l,r and this establishes the existence of component wise partial derivative, ∂f ∂Θ Θ, Π ( i, y ).

Let (B _{N} =prod_{iin N} B _{i}) equipped with the component-wise partial order (succcurlyeq of succcurlyeq _{i})'s.

Estimating the structure of the latent underlying functional connectome from the set of pair-wise partial correlations remains an open research problem though.

((S _{N}, succcurlyeq)) is the product poset, where ≽ is the component-wise partial order of (succcurlyeq _{i})'s naturally equipped on (S _{N}).

Let ((S _{N}, succcurlyeq)) be the product poset of ((S _{i}, succcurlyeq _{i}))'s equipped with the component-wise partial order ≽.

Let ((B _{N}, succcurlyeq )) be the product partially ordered Banach space of ((B _{i}, succcurlyeq _{i}))'s, where ≽ is the component-wise partial order of (succcurlyeq _{i})'s.

Notice that the partial order ≽ on (S _{N}) is the component-wise partial order of (succcurlyeq _{i})'s on (S _{i})'s, respectively.

As the inflammatory region may not exactly match the anatomical structure, a pixel-wise partial volume correction strategy merits consideration [37].

Whole-brain, voxel-wise partial correlation analyses were conducted to determine RSFC of bilateral BLA and SFA seed regions, created using the Eickhoff Zilles maximum probability maps based on cytoarchitectonic mapping and FMRIB's Integrated Registration and Segmentation Tool (FIRS T.

As the product partially ordered set of ((S _{i}, succcurlyeq _{i}))'s, the profile set is also a poset ((S _{N}, succcurlyeq)) in which the partial order ≽ is the component-wise partial order of (succcurlyeq _{i})'s.