Topological semimetals, such as Dirac, Weyl, or line-node are gapless states of matter characterized by their nodal band structures and surface states. In this work, we consider layered (topologically trivial) insulating systems in $D$ dimensions that composed coupled multi-layers $d$-dimensional topological semimetals. Despite being nominal bulk insulators, show crystal defects having co-dimen...

Optical supercavity modes (superstates), i.e., hybrid emerging from the strong coupling of two an open cavity, can support ultranarrow lines in their scattering spectra associated with quasi bound states continuum (quasi-BIC). These are great interest for sensing applications as they enable compact systems unprecedented sensitivity. However, classical quasi-BIC sensors fundamentally limited by ...

Let $A$ be an abelian topological group and $B$ a trivial topological $A$-module. In this paper we define the second bilinear cohomology with a trivial coefficient. We show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. Also we show that in the category of locally compact abelian groups a central extension with a continuous section can b...

Let H be a subgroup of a group G. H is said to be S-embedded in G if G has a normal T such that HT is an S-permutable subgroup of G and H ∩ T ≤ H sG, where H denotes the subgroup generated by all those subgroups of H which are S-permutable in G. In this paper, we investigate the influence of minimal S-embedded subgroups on the structure of finite groups. We determine the structure the finite grou...

In this study, the mechanical buckling response of refined hyperbolic shear deformable (FG) functionally graded nanobeams embedded in an elastic foundation is investigated based on the refined hyperbolic shear deformation theory. Material properties of the FG nanobeam change continuously in the thickness direction based on the power-law model. To capture small size effects, Eringen’s nonlocal e...

The ambition of the Canadian Institutes for Health Research Health System Impact (HSI) Fellowship initiative to modernise the health system is impressive. Embedded researchers who work between academia and nonacademic settings offer an opportunity to reframe the problem of evidence uptake as a product of a gap between those who produce knowledge and those who use it. As such, there has been an ...

The investigation presented in this paper is a novel method in question answering (QA) that enables a QA system to gain performance through reuse of information in the answer to one question to answer another related question. Our analysis shows that a pair of question in a general open domain QA can have embedding relation through their mentions of noun phrase expressions. We present methods f...