Power allocation problem is formulated to a minimization under the conditions that a minimal speed bound is set for secondary user's data transmission and a maximal threshold is set to restrict the average interference power caused by secondary user to main user.
The minimal separator bound follows from Lemma 4.8, and the vertex and edges bounds follow from Observation 4.2 and the fact that H and G(M) have the same vertex set.
The actual smoothing error variances of each fuser are guaranteed to have a minimal upper bound for all admissible uncertainties.
The actual filtering error variances or their traces of each fuser are guaranteed to have a minimal upper bound for all the admissible uncertainties of noise variances.
We can then interpret the bunch of broadly tuned cells around the zero value of the shape index n as generally below the minimal uncertainty bound that allows a consistent detection of orientations.
Then, for each i ∈ {1, 2, 3}, one could extend M by adding a corresponding axiom as follows, where again ξ specifies a suitable binary condition: In a way, (P.12ξ,1) would seem the obvious choice, corresponding to the idea that a sum of two objects is just a minimal upper bound of those objects relative to P (a partial ordering).
For example, with ξ construed as overlap, (P.12ξ,1) is satisfied by the model of Figure 7, left: here z is a minimal upper bound of x and y, yet z hardly qualifies as a sum "made up" of x and y, since its parts include also a third, disjoint item w.
Moreover, since the NSM approach is able to provide an input/output model with minimal uncertainty bound, it is shown that improved robustness of the closed loop system can be obtained, with respect to that of a NMPC law based on a physical model.
This minimal region bound only to Pellino-1, but not to other proteins involved in the TLR4 signaling pathway (Fig 2C).
If the former has effects on the minimal (lower bound) dosage of a treatment, the latter establishes an upper bound on the maximum allowed dosage to avoid side effects such as toxicity.
