Energy band nodal structures (nodal points/lines/surfaces) in the Brillouin zone (BZ) have received immense research interest past decade, while their complete classification is still lacking. Here, we focus on all 1651 magnetic space groups (MSGs) and 528 layer (MLGs) to provide a dataset of symmetry-diagonalizable strictly nearly emanating from nodes (BNs) at symmetric $k$ points. Using our d...

A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE an established collocation method that can be used to compute derivatives directly at nodal points, instead of by projection from Gauss points as done many finite element-based techniques. The proposed truly meshless and does not require patches elements de...

The low-lying states of light nuclei He and Be are studied in this letter. With the inherent nodal surface(INS) analysis approach, the quantum numbers and the spatial symmetries of the low-lying states with positive parity and negative parity of the two nuclei are deduced. The obtained energy spectrum structure agrees with experimental data well.

This paper develops a method for nodal pricing and market clearing mechanism considering reliability of the system. The effects of components reliability on electricity price, market participants’ profit and system social welfare is considered. This paper considers reliability both for evaluation of market participant’s optimality as well as for fair pricing and market clearing mechanism. To ac...

In this paper, the Dirac type integro differential system\ with a nonlocal integral boundary condition is considered. First, we derive asymptotic expressions for solutions and large eigenvalues. Second, provide nodal points prove that dense subset of uniquely determines parameter potential function considered system. We also an effective procedure solving inverse problem.

In this paper, consideration is given to how aliasing errors, introduced when evaluating nonlinear products, inexactly affect the solution of Galerkin spectral/hp element polynomial discretisations on triangles. A theoretical discussion is presented of how aliasing errors are introduced by a collocation projection onto a set of quadrature points insufficient for exact integration, and consider ...

AIMS To report the relapse pattern of stereotactic body radiotherapy (SBRT) for oligorecurrent nodal prostate cancer (PCa). MATERIALS AND METHODS PCa patients with ≤3 lymph nodes (N1/M1a) at the time of recurrence were treated with SBRT. SBRT was defined as a radiotherapy dose of at least 5 Gy per fraction to a biological effective dose of at least 80 Gy to all metastatic sites. Distant progr...

background: complete atrioventricular block (av block) is a serious complication of slow pathway ablation therapy in the treatment of atrioventricular nodal re-entrant tachycardia (avnrt).   the present study was aimed at determining whether the electroanatomical pace mapping of koch’s triangle could significantly improve the safety, efficiency, and efficacy of selective slow pathway ablation i...

The Neumann points of an eigenfunction f on a quantum (metric) graph are the interior zeros $$f'$$ . domains sub-graphs bounded by points. and counterparts well-studied nodal domains. We prove bounds number properties probability distribution this number. Two basic presented: wavelength capacity spectral position. state those as well key features their distributions. To rigorously investigate p...

We study a class of topological materials which in their momentum-space band structure exhibit three-fold degeneracies known as triple points. Focusing specifically on $\mathcal{P}\mathcal{T}$-symmetric crystalline solids with negligible spin-orbit coupling, we find that such points can be stabilized by little groups containing three-, four- or six-fold rotation axis, and develop classification...