In this paper we study multidimensional persistence modules [5, 13] via what we call tame functors and noise systems. A noise system leads to a pseudo-metric topology on the category of tame functors. We show how this pseudo-metric can be used to identify persistent features of compact mul-tidimensional persistence modules. To count such features we introduce the feature counting invariant and ...

in this paper high order multidimensional positive definite advection transport algorithm (mpdata) and compact finite difference methods are applied to one (1-d) and two-dimensional (2-d) advection equation. mpdata methods are designed based on upwind scheme using anti-diffusive velocity that compensates diffusivity of upwind method. in high order compact method one implicit relation between a ...

We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of...

The effective removal of dyes from aqueous wastewaters is among the most important issues formany industrialized countries. Removal of Congo Red (CR) dye from aqueous solutions was studiedusing nickel oxide nanoparticles. The operating variables studied were initial pH of solution,adsorbents dosage, temperature and contact time. The morphological information of nickel oxidenanoparticles were ch...

We prove the existence of pseudo Leja sequences with large sets of limit points for many plane compact sets.

The present study aims at investigating the potential of activated carbon AC prepared from waste cotton fiber for the removal of Acid Dyes from aqueous solutions. The prepared activated carbon was characterized by pore structure analysis, Fourier transforms infrared spectroscopy FTIR. Batch adsorption studies were carried out and the effect of experimental parameters such as pH, initial dye con...

in this research, graphene oxide- gold nanoparticles (aunp/go) were easily fabricated by a redox reaction between go and chloroauric acid without using any additional reductant and then used to stabilize pickering emulsions. (aunp/go) was investigated by ft-ir spectroscopy. the changes of parameters such as contact time, ph, amoxicillin initial concentration and temperature were tested and inve...

in this study, removal of acid blue 62 from aqueous solution by mesoporous silicate mcm-41 modified by aminopropyltriethoxysilane (aptes) composite was studied. properties of synthesized composite were analyzed and confirmed by sem, edx and ftir. results show that langmuir adsorption isotherm has the best compatibility with the results of experiments. kinetic analysis using pseudo-first-order m...