Motivated by the research on social opinion dynamics over large networks, a general framework for verifying the Monotonicity Property of multi-agent dynamics is introduced. This allows a derivation of sociologically meaningful sufficient conditions for monotonicity that are tailor-made for social opinion dynamics, which typically have high non-linearity. A key part of this framework is the defi...

in the present paper, we introduce some new sequence spaces derived by riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. some topological properties of these spaces are investigated. further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and statistical convergence...

the alluvial fan of shahdaad in derakhtangaan river is one of the biggest alluvial fans in a dry area in northeastern kerman. this alluvial fan has been formed due to different material erosions in the drainage basin of derakhtangaan river and lying of these materials in the extreme part of this basin called dasht-e-lut (the plain of lut). the region which has been studied in this research is o...

in this paper, we will present a review of the multistep collocation method for delay volterra integral equations (dvies) from [1] and then, we study the superconvergence analysis of the multistep collocation method for dvies. some numerical examples are given to confirm our theoretical results.

abstract many studies have been conducted on the characteristics of hydraulic jump over gradually expanding cross sections, but comparatively few have been carried out on basins with convergent wall. in the present research, the hydraulic jump characteristic of the stilling basin with convergent wall has been investigated. the main objective of this research is evaluation of conjugate depths ra...