The ?ech and Rips constructions of persistent homology are stable with respect to perturbations the input data. However, neither is robust outliers, both can be insensitive topological structure high-density regions A natural solution consider 2-parameter persistence. This paper studies stability homology: we show that several related density-sensitive bifiltrations from data satisfy properties...

the objective of this research was to study genotype×environment interaction and to evaluate stability analysis of grain yield in chickpea genotypes under rainfed condition. experimental material was comprised of 17 genotypes with the experiments carried out in rcbd of four replications at kermanshah, lorestan, ilam, gachsaran and gorgan research stations during the two years of 2003-2004. the ...

this paper presents results of applying a new approach on 2d inversion of magnetotelluric (mt) data in order to enhance resolution and stability of the inversion results. due to non-linearity and limited coverage of data acquisition in an mt field campaign, minimizing the error by linearization of the problem in least squares inversion usually leads to an ill-posed problem. in general, an inver...

This paper deals with dynamic Stability of single walled carbon nanotube. Strain gradient theory and Euler-Bernouli beam theory are implemented to investigate the dynamic stability of SWCNT embedded in an elastic medium. The equations of motion were derived by Hamilton principle and non-local elasticity approach. The nonlocal parameter accounts for the small-size effects when dealing with nano-...

A global nonlinear stability analysis is performed for a couple-stress fluid layer heated from below saturating a porous medium with temperature-pressure dependent viscosity for different conducting boundary systems. Here, the global nonlinear stability threshold for convection is exactly the same as the linear instability boundary. This optimal result is important because it shows that lineari...