In some specific locations there was activity for the contrast Loved > Baseline which reached significance but which was cancelled out by a corresponding, weaker, sub-threshold activation for the contrast Neutral > Baseline.
We begin with the following assumption: (H1) The distribution f ∈ W − 1, q is such that, for each admissible control u ∈ A ad, the corresponding weak solution y = y ( u ) of the nonlinear Dirichlet boundary value problem (2.3) is a regular point of the mapping y ↦ Λ ( u, y, λ ).
This is a strengthening of the corresponding weak counterexample from 1923, but the argument is entirely different.
They proved that the (L^{2} -convergence rate of a Markov semigroup and the corresponding weak Poincaré inequaL^{2} -convergenceined by each otherate
It is shown that the convergence rate of a Markov semigroup and the corresponding weak Poincaré inequality can be determined by each other.
Human ALDHs are a superfamily with 19 members involved in detoxifying a wide range of aldehydes to their corresponding weak carboxylic acids (Sladek, 2003); ALDhas1 has been identified as a functional marker of several different types of CSCs including BCSCs (Ginestier et al, 2007; Alison et al, 2011).
Another main result of this paper is the following: Ifμis a canonical Gibbs measure, then it is extreme (or a "pure phase") if and only if the corresponding weak Sobolev spaceW1, 2 onΓis irreducible.
Once gray code bits and the corresponding weak classifiers parameters are learned, a new patch can be classified by using the sign of (8). Figure 5 Selected gray code bits.
In Sections 4 and 5, we introduce a higher-order Mond-Weir type dual problem and a higher-order Wolfe type dual problem to a constrained set-valued optimization problem and establish corresponding weak duality, strong duality and converse duality theorems, respectively.
For the second order elliptic problem, an optimal order error estimate in both a discrete H1 and L2 norms are established for the corresponding weak Galerkin finite element solutions.
