In particular, the maximal operator corresponding to Eq. (1.1) is multi-valued, and the minimal operator is non-densely defined in the related Hilbert space (cf. [23]).
Denote D : = y ∈ l w 2 : w - ℒ y ∈ l w 2 , which is the domain of the maximal operator corresponding to operator ℒ.
Regions with larger vessels were excluded in the rCBF assessments by thresholding the MIP CT image by 15% of the maximal value corresponding to a regional cerebral blood volume [rCBV] threshold of 14.4 mL/100 mL.
As a corollary, we also give a generalization of the result of Sogge and Stein that for some finite p the maximal operator corresponding to a hypersurface whose Gaussian curvature does not vanish to infinite order is bounded on Lp for some finite p. Analogous estimates are proven for Fourier transforms of surface measures, and these are sharp for the same hypersurfaces as the maximal operators.
In the DMSO samples, all r-proteins within a given subunit displayed highly correlated occupancy patterns with maximal occupancy corresponding to 'peak' fractions as determined by rRNA absorbance.
Conversely, if S is a maximal split torus of G then the maximal split torus corresponding to m ( S ) is the maximal split torus of the radical of the reductive group Z G ( R m ( S ) ) = Z G ( s ) = Z G ( S ) as explained in the proof of (1).
In the following experiments, the stimulation strength for monitoring basal synaptic transmission and for induction of LTP in Gria1−/− mice was therefore set to 70% of the maximal amplitude, roughly corresponding to 50% of the maximal amplitude in wild-type mice (Fig. 2B).
The maximal clot firmness (MCF), corresponding to the maximal amplitude of conventional TEG®, which describes the final strength of the clot, is influenced by the fibrinogen concentration and the platelet count.
Maximal clique algorithm is then applied on this graph, resulting in a set of maximal cliques, each corresponding to a GHC.
Maximal Lyapunov exponents corresponding to observations in Figure 4(a)–(c) are computed in Figure 6.
