The k-packing problem asks for a subset S of the nodes in a graph such that the distance between any pair of nodes in S is greater than k. This problem has applications to placing facilities in a network. In the current paper we present a self-stabilizing algorithm for computing a maximal k-packing in a general graph. Our algorithm uses a constant number of variables per node. This improves the...

Fonsecin B has been identified as stabilizing ligand of c-myc G-quadruplex DNA using high-throughput virtual screening of a natural product database, and inhibited Taq polymerase-mediated DNA extension in vitro through stabilization of the G-quadruplex secondary structure.

Hyperconjugative, steric, and electrostatic effects were evaluated as possible sources of the helicity in linear perfluorinated alkanes through analysis of natural bond orbitals and classical electrostatics. Contrary to previous rationalizations, which indicate dominating steric or electrostatic effects, this analysis indicates that hyperconjugative stabilization through σCC →σ*CF interactions ...

The problem of (local) static output feedback stabilization for a class of minimum phase relative degree two systems is studied. It is shown that, under natural assumptions, it is possible to design a stabilizing static output feedback control law and to give an estimate of the resulting region of attraction. The general results are illustrated via examples.

We provide type IIB string embeddings of two axion variants of natural inflation. We use a combination of RR 2-form axions as the inflaton field and have its potential generated by nonperturbative effects in the superpotential. Besides giving rise to inflation, the models developed take into account the stabilization of the compact space, an essential condition for any semirealistic model of st...

The “input to state stability” (iss) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilization of cascades of systems and of linear systems subject to con...

In this work a local projection stabilization method is proposed to solve a fictitious domain problem. The method adds a suitable fluctuation term to the formulation thus rendering the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated by a numerical experiment.

A key variable for the conduct of monetary policy is the natural rate of interest – the real interest rate consistent with output equaling potential and stable inflation. Economic theory implies that the natural rate of interest varies over time and depends on the trend growth rate of output. In this paper we apply the Kalman filter to jointly estimate the natural rate of interest, potential ou...

One of the indexes of stabilization pond is the presence of coliform bacteria in water and wastewater. This study aimed to determine the effect of solar light on coliform variations in stabilization pond. In this experimental study, the effect of light, pH (<7, 7.1–8, 8.1–9), and temperature (10 ºC and 30 ºC) on facultative stabilization pond was studied for six months. The sampling was accompl...