The lower-level regularity condition for the problem (5.1) is given as follows: ∃ z ˜ : C ( x ∗ ) z ˜ = d ( x ∗ ), z ˜ > 0, k = 1, …, l and C ( x ∗ ) has full row rank.
In order to study the sensitivity analysis of the negative value function in the lower-level problem (3.1), we first recall the lower-level and upper-level regularity conditions [40], which are defined, respectively, as ∑ i = 1 p β i ∇ z g i ( x ∗, z ∗ ) = 0, β i ≥ 0, β i g i ( x ∗, z ∗ ) = 0, i = 1, …, p } ⇒ β i = 0, i = 1, …, p, (4.4).
When it comes to the total number of overlaps there is no outstanding clade-level regularity other than the appearance of an elevated number of overlaps in the proteobacterial clades, the crenarchaeota and the euryarchaeota.
At the same time, both types of decisions seem to tap into the same individual-level regularities.
The level of regularity for a targeted individual is assessed by using two types of regularity.
In part this is due to considerations of subvolume size (if a tetrahedron is stretched the size of the tetrahedron in some directions may be much larger than the edge-length assumed for the regular tetrahedron) and also to do with an assumed level of regularity for the derivation of the diffusion rates.
They got to the second level with regularity.
Back in 2007, Leisa Reichelt, the head of user research at Government Digital Services in the U.K., defined ambient intimacy as "being able to keep in touch with people with a level of regularity and intimacy that you wouldn't usually have access to, because time and space conspire to make it impossible".
Both subjects have a fairly substantial level of regularity regarding visiting similar set of destinations, as shown in Fig. 19.
As features shrink and defect rates increase, all devices, including ASICs are likely to need some level of regularity and configurability.
Mean level, variability, regularity, entropy, and predictability of activity were recorded for a defined 64-min active morning and active evening period.
