Given a mapping $f:Xto X$ we naturally associate to it a monotonic map $gg_f:exp Xto exp X$ from the power set of $X$ into itself, thus inducing a generalized topology on $X$. In this paper we investigate some properties of generalized topologies which are defined by such a procedure.

The effect of a uniform transverse magnetic field on two-dimensional stagnation-point flow of an incompressible viscous electrically conducting fluid over a stretching surface is investigated when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. This magnetohydrodynamic (MHD) flow problem is governed by the parameter b representin...

We propose an analytical model to reproduce the non-monotonic instability of threshold voltage in 4H-SiC MOSFETs submitted a positive gate stress bias. Experimental analysis transients indicates that both electron and hole trappings take place dielectric or at dielectric/semiconductor interface, responsible for VTH increasing–decreasing–increasing pattern. At low/moderate fields (<7 MV/c...

Conjugated polymer actuators have potential use in implantable neural interface devices for modulating the position of electrode sites within brain tissue or guiding insertion of neural probes along curved trajectories. The actuation of polypyrrole (PPy) doped with dodecylbenzenesulfonate (DBS) is characterized to ascertain whether it can be employed in the cerebral environment. Microfabricated...

This article presents the results for cyclic uni/triaxial tests on deeply seated granite samples drilled from a −915 m deep tunnel in Sanshandao (SSD) gold mine. The monotonic and were carried out to observe mechanical responses of under different loading regimes. disparities concerning strain evolution compressive strength considering uniaxial triaxial are presented. Deformation behaviour, dis...

The equilibrium properties of a weakly interacting atomic Bose gas across the Berezinskii-Kosterlitz-Thouless (BKT) and Bose-Einstein condensation (BEC) phase transitions are numerically investigated through dimensionality crossover from two to three dimensions. is realized by confining in an experimentally feasible hybridized trap which provides homogeneity along planar $xy$ directions box pot...

Traditionally, program analysis is formulated as computation of fixpoints using monotonic iteration of lattice-theoretic functions. Monotonicity is important because it ensures convergence of the analysis towards a fixpoint. Still, the idea of non-monotonic iteration is intriguing because such an analysis can cut short the search, potentially convergingmuch faster than monotonic iteration. In t...

Monotonic classification problems mean that both feature values and class labels are ordered and monotonicity relationships exist between some features and the decision label. Extreme Learning Machine (ELM) is a singlehidden layer feedforward neural network with fast training rate and good generalization capability, but due to the existence of training error, ELM cannot be directly used to hand...

given a mapping $f:xto x$ we naturally associate to it a monotonic map $gg_f:exp xto exp x$ from the power set of $x$ into itself, thus inducing a generalized topology on $x$. in this paper we investigate some properties of generalized topologies which are defined by such a procedure.