We consider flat solutions in the brane background with a massless scalar field appearing in 5D H2 MNPQ. Since there exist bulk singularities or arises the divergent 4D Planck mass, we should introduce a compact extra dimension, the size of which is then fixed by brane tension(s) and a bulk cosmological constant. Inspecting scalar perturbations around the flat solutions, we find that the flat s...

This paper presents a new approximation method for localized (`bumpya) steady state activation patterns in truly nonlinear neural "eld equations. The method is applied to models for orientation tuning in V1 simple cells where it allows to study the impact of nonlinear rate-functions on tuning properties and a derivation of explicit formulas for response amplitudes and tuning widths in dependenc...

It is well known that different solution strategies work well for different types of instances of hard combinatorial problems. As a consequence, most solvers for the propositional satisfiability problem (SAT) expose parameters that allow them to be customized to a particular family of instances. In the international SAT competition series, these parameters are ignored: solvers are run using a s...

In this paper, we propose an economic model predictive control (MPC) framework with a self-tuning terminal weight, which builds on a recently proposed MPC algorithm with a generalized terminal state constraint. First, given a general time-varying terminal weight, we derive an upper bound on the closed-loop average performance which depends on the limit value of the predicted terminal state. Aft...

We propose a SAT-based algorithm for incremental diagnosis of discrete-event systems. The monotonicity is ensured by a prediction window that uses the future observations to lead the current diagnosis. Experiments stress the impact of parameters tuning on the correctness and the efficiency of the approach.

We compute the effect of quantum mechanical backreaction on the spectrum of radiation in a dynamical moving mirror model, mimicing the effect of a gravitational collapse geometry. Our method is based on the use of a combined WKB and saddle-point approximation to implement energy conservation in the calculation of the Bogolyubov coefficients, in which we assume that the mirror particle has finit...

Despite the copious advances in acoustic techniques and devices for measuring and displaying acoustic parameters, a steady component of a phonetician’s scientific method remains to be – to this very day – our hearing. This paper therefore focuses on a historical device shared between acoustics and auditory phonetic analysis: Rudolph Koenig’s Grand Tonometre, consisting of more than a hundred tu...

The principles of the traditional passive filter for suppressing harmonics are qualitatively analyzed in this study. The auto-tuning principles based on TCR are also analyzed. According to the deficiencies of these filters, a passive filter based on variable reactors is presented and the tuning method is investigated principally. This filter utilizes the anti-parallel thyristor controlled react...

The cosmological constant problem is how one chooses, without fine-tuning, one singular point Λeff = 0 for the 4D cosmological constant. We argue that some recently discovered weak self-tuning solutions can be viewed as blowingup this one point into a band of some parameter. These weak self-tuning solutions may have a virtue that only de Sitter space solutions are allowed outside this band, all...

The electrochemical cell provides a potentially powerful means of altering morphology and islanding phenomena on metallic surfaces. Diffusion and attachment processes on terraces and near step and island edges are known to profoundly affect island sizes, shapes and coarsening kinetics. Using the surface-embedded-atom-model (SEAM) for describing metallic surfaces in the electrolytic environment,...