More generally, P and Q can be interpreted as general modulators of the local input response.
Post-hoc contrasts showed that visitors from outside of Wisconsin had a higher acceptance score than those from the Milwaukee area (p =.009) but not compared to those from Wisconsin more generally (p =.069).
Elementary examples of HI-potentials are: (P equiv 0) on any interval (0, R); (Pequiv 1) on ((0, z_0)), where (z_{0}=2.4048 ldots ) is the first root of the Bessel function (J_0); More generally, (P (r)=r^{-a}) with (0le a<2) on ((0, z_a)), where (z_{a}) is the first root of the largest solution of the equation (y"+frac{1}{r}y'+r^{-a}y=0).
Despite the number of trials already undertaken, further evidence is called for "...that might increase the quality and quantity of the data collected by questionnaire, and of participation in trials more generally" (p. 7) [ 6].
The second method is based on the large time behavior of solutions of the doubly nonlinear evolutionJp(˙v(t))+∂Φ v(t))∋0 a.e.t>0) and more generally p-curves of maximal slope for Φ.
k = 10, l = 6, μ = 4, λ = 2 or k = 6, l = 2, μ = 5, λ = 3 while p = 2 and i = 3 to get 2-Cockcroft property for the presentation P M in (7), or more generally for any prime p, k = ( p + 1 ) [ ( p + 1 ) p − 1 p ] + 1, l = 1, μ = p + 1 = i and λ = 1 to get p-Cockcroft property for the presentation P M in (7).
The inadequate or poor reporting of p-values was also widespread, and typical errors included "p < 0.000009", "p < 0.134" and, more generally, the use of "p = NS" or "p < 0.05".
For example, when f is a quasi pseudo)monotone map, or more generally, a quasi- P ∗ -map, then the strict feasibility is sufficient for the solvability of the CP; for more details, see [4 7].
He used an observation going back to Steiner: the surface area of a set E, or more generally its perimeter P(E), decreases under Steiner symmetrization, see Theorem 2.7.
More generally, Orzack concludes (p. 87): [E]volutionary biologists often use models having assumptions known to be manifestly false or at best of uncertain validity in order to predict evolutionary outcomes.
To more generally test whether P-body formation depends on amyloid-like aggregation, we treated P body-containing yeast cells with the amyloid-specific dye ThT.
