Certain behavior such as nest site (and possibly winter range) selection showed relative generality across regions, whereas other behavior such as nesting off-bout occurrence showed a higher degree of region-specificity (Dzialak et al. 2013a; 2013a).
The greatest level of differentiation was observed for the PA segment (ΦST = 0.156) and a phylogram of this segment revealed a greater degree of region-specific clustering of lineages than other RNA segments (Fig. 5).
This study shows that the logopenic variant of PPA remains an asymmetrical disease, with spread through the left hemisphere language network but also involvement to a lesser degree of regions in the right hemisphere that mirror the earlier left hemisphere changes.
The degrees-of-freedom region characterized by Theorem 1, (mathcal {D}_{mathsf {FD}}), is the pentagon-shaped region shown in Fig. 4. Figure 5 a shows a geometric interpretation of the parameters in Theorem 1.
Fig. 4 Degrees-of-freedom region, (mathcal {D}_{mathsf {FD}}) Fig. 5 Diagrams illustrating the geometrical interpretation of the degrees-of-freedom region (mathcal {D}_{mathsf {FD}}) and the achievability strategy.
Section 3 gives the main analysis of the paper, the derivation of the degrees-of-freedom region.
We need a final Genie manipulation to compensate for this added interference, so that the net Genie manipulation can only enlarge the degrees-of-freedom region.
In this case, the full-duplex degree-of-freedom region, (mathcal {D}_{mathsf {FD}}) simplifies to begin{array}{*{20}l} d_{i} &leq 2L|Psi_{mathsf{Fwd}}|, i=1,2 end{array} (118).
Contribution: We extend the PBT model to the three-node full-duplex topology of Fig. 1, and derive the degree-of-freedom region, (mathcal {D}_{mathsf {FD}}): the set of all achievable uplink/downlink degree-of-freedom tuples.
Indeed when the base station arrays are at least twice as long as the user arrays, the degrees-of-freedom region is rectangular, and both uplink and downlink achieve the ideal 2L Usr |Ψ| degrees-of-freedom.
