Recently, honeycomb cobaltates with $3{d}^{7}$ were proposed to display Kitaev physics despite weak spin-orbit coupling. However, other theoretical and experimental works found leading XXZ Heisenberg negligible interactions in ${\mathrm{BaCo}}_{2}{({\mathrm{AsO}}_{4})}_{2}$ (BCAO), which calls for further study clarify the origin of discrepancies. Here we derive analytical expressions spin mode...

We review our present understanding of heterotic compactifications on non-Kähler complex manifolds with torsion. Most of these manifolds can be obtained by duality chasing a consistent F-theory compactification in the presence of fluxes. We show that the duality map generically leads to non-Kähler spaces on the heterotic side, although under some special conditions we recover Kähler compactific...

This study describes students’ implementation of originality problem-seeking and non-originality problem￾seeking in resolving numeracy problems. It used a case design. The data collection process was started by providing Further, the related to problem-solving completing numeration issues were garnered through interviews. Our suggested that students using mostly only limited scope problem quest...

In this paper, several modifications to the Fuzzy ARTMAP neural network architecture are proposed for conducting classification in complex, possibly noisy, environments. The goal of these modifications is to improve upon the generalization performance of Fuzzy ART-based neural networks, such as Fuzzy ARTMAP, in these situations. One of the major difficulties of employing Fuzzy ARTMAP on such le...

Multiple sclerosis (MS) is a complex polygenic disease in which gene-environment interactions are important. A number of studies have investigated the association between tumor necrosis factor-α (TNF-α) -308 G/A polymorphism (substitution G→A, designated as TNF1 and TNF2) and MS susceptibility in different populations, but the results of individual studies have been inconsistent. Therefore, per...

We show that results about spaces or moduli of positive scalar curvature metrics proved using index theory can typically be extended to non-negative metrics. illustrate this by providing explicit generalizations some classical concerning