The numerical computation of Lagrangian invariant subspaces of large scale Hamiltonian matrices is discussed in the context of the solution of Lyapunov and Riccati equations. A new version of the low-rank alternating direction implicit method is introduced, which in order to avoid numerical difficulties with solutions that are of very large norm, uses an inverse-free representation of the subsp...

We demonstrate that feature-specific attention allocation influences the way in which repeated exposure modulates implicit and explicit evaluations toward fear-related stimuli. During an exposure procedure, participants were encouraged to assign selective attention either to the evaluative meaning (i.e., Evaluative Condition) or a non-evaluative, semantic feature (i.e., Semantic Condition) of f...

This paper considers the stability and convergence results for the Euler implicit/explicit scheme applied to the spatially discretized twodimensional (2D) time-dependent Navier-Stokes equations. A Galerkin finite element spatial discretization is assumed, and the temporal treatment is implicit/explict scheme, which is implicit for the linear terms and explicit for the nonlinear term. Here the s...

Findings showed that the nonconscious activation of a goal in memory led to increased positive implicit attitudes toward stimuli that could facilitate the goal. This evaluative readiness to pursue the nonconscious goal emerged even when participants were consciously unaware of the goal-relevant stimuli. The effect emerged the most strongly for those with some skill at the goal and for those for...

The Fokker-Planck (FP) model is one of the commonly used methods for studies of the dynamical evolution of dense spherical stellar systems such as globular clusters and galactic nuclei. The FP model is numerically stable in most cases, but we find that it encounters numerical difficulties rather often when the effects of tidal shocks are included in two-dimensional (energy and angular momentum ...

Memory consolidation is facilitated by sleep. Specifying the functional domain of sleep-dependent consolidation (SDC) is important for identifying the neural mechanisms underlying this phenomenon. Previous work indicates that SDC may be limited to conditions in which learning is explicit. In the present study, we tested the hypothesis that SDC may also occur with implicit learning when learning...

Two studies used an illusory correlation procedure to test whether distinct implicit and explicit evaluations can result from the same learning episode. All participants learned twice as much about the qualities of one group (majority) than another (minority). In one condition, the ratio of positive to negative information was equal between groups. In other conditions, the majority group showed...

In the numerical simulation of transient reacting flow, standard explicit calculation is prohibitively expensive because of the small time steps needed to address the stiffness of a governing differential system. To circumvent this, new hybrid implicit–explicit methods proposed treat the stiffness, whereas the underlying time-step control is governed by the Courant stability criterion. Because ...

A vertex subset X of a graph G is said to be cyclable in G if there is a cycle in G containing all vertices of X. Ore [6] showed that the vertex set of G with cardinality n ≥ 3 is cyclable (i.e. G is hamiltonian) if the degree sum of any pair of nonadjacent vertices in G is at least n. Shi [8] and Ota [7] respectively generalized Ore’s result by considering the cyclability of any vertex subset ...

Implicit preferences for Whites compared to Blacks can be reduced via exposure to admired Black and disliked White individuals (Dasgupta & Greenwald, 2001). In four studies (total N = 4,628), while attempting to clarify the mechanism, we found that implicit preferences for Whites were weaker in the “positive Blacks” exposure condition compared to a control condition (weighted average d = .08). ...