This progress began with Bober et al. [26] who proved that operatorname{Var}(widetilde{M}f)leqoperatorname{Var}(f) (1.5) and operatorname{Var}(Mf leqbiggl(2+frac{146}{315}biggr) Vert f Vert _{ell^{1}(mathbb{Z})}, (1.6) where M (resp., M̃) is the usual discrete centered (resp., uncentered) Hardy Littlewood maximal operator.
In particular, Liu and Wu [33] investigated the regularity of the discrete centered multisublinear fractional maximal operator associated with (ell^{2} -balls mathfrak{M}_{alpha}(vell^{2} -balls)=sup_{r>0} prod_{j=1}^{mathfrak{{N(B_{r}(vec{n}))^{1-frac{alpha}{M}_{alpha} vec{f}in B_{r}(vec{n})capmathbb{Z}^{d}} biglvert f_{j}(vec {k}) bigrvert, where (mgeq1) and (0leqalpha< md).
These utilities are suppressed by being recessed into the more inaccessible and discrete center areas of the slabs, making them virtually invisible from view, even from the exterior of the house.
This dynamic organization mediated by the well-synchronized functioning of delocalized groups of interconnected neurons (rather than by discrete centers) also explains the huge potential of neuroplasticity following cerebral insult, on the condition that the axonal connectivity is preserved.
But both the ideal and the empires were powerful, and in London, Paris, and Washington the fiction (at least) of a discrete center managing and studying a far-flung periphery was easily maintained well into the twentieth century.
In order to reduce the error within the numerical evaluation of the chemical source term, spatial interpolation based on the discrete cell centered scalar quantities is applied.
A discrete subregion centered on the right parahippocampus also predicted and mediated inflammatory effects on subsequent object-location memory.
This pattern was repeated in a case with more discrete injections centered in the basal nucleus in both the left and right hemispheres (Fig. 2; ACy21L,R).
In tightly connected networks such as those in St .Paul, where doctors share patients across hospitals, the doctors clump into tight bundles, while in loosely connected networks, such as those in Albuquerque, the networks are discrete clusters, each centered on separate hospitals.
H is the centered discrete Fourier transform (CDFT) of a window function h(n), Hleft xi right)=frac{1}{N}{displaystyle sum_{n=0}^{2 N-1}}; h(n){e}^{- j{scriptscriptstyle frac{2pi}{2 N}}left( n+0.5- Nright)left xi +0.5right)}, (8 where ξ is not restricted to integer.
Excitation at 322 and 475 nm resulted in two discrete fluorescence signals centered at 449 and 549 nm corresponding to coumarin and NBD-Cys/Hcy, respectively.
