Given an open set $\Omega\subset\mathbb{R}^3$. We deal with the spectral study of Dirac operators form $H_{a,\tau}=H+A_{a,\tau}\delta_{\partial\Omega}$, where $H$ is free operator in $\mathbb{R}^3$, $A_{a,\tau}$ a bounded invertible, self-adjoint $\mathit{L}^{2}(\partial\Omega)^4$, depending on parameters $(a,\tau)\in\mathbb{R}\times\mathbb{R}^n$, $n\geqslant1$. investigate self-adjointness and...

The timescales on which galaxies move out of the blue cloud to red sequence ($\tau^{}_\mathrm{Q}$) provide insight into mechanisms driving quenching. Here, we build upon previous work, where showcased a method reconstruct colour evolution observed low-redshift from Galaxy And Mass Assembly (GAMA) survey based spectral energy distribution (SED) fitting with ProSpect, together statistically-drive...

A wide range of neurodegenerative diseases are characterized by the deposition of multiple protein aggregates. Ligands for molecular characterization and discrimination of these pathological hallmarks are thus important for understanding their potential role in pathogenesis as well as for clinical diagnosis of the disease. In this regard, luminescent conjugated oligothiophenes (LCOs) have prove...

A wide range of neurodegenerative diseases are characterized by the deposition of multiple protein aggregates. Ligands for molecular characterization and discrimination of these pathological hallmarks are thus important for understanding their potential role in pathogenesis as well as for clinical diagnosis of the disease. In this regard, luminescent conjugated oligothiophenes (LCOs) have prove...

A time discretization scheme based on the third-order backward difference formula has been embedded into a Chebyshev tau spectral method for the Navier-Stokes equations. The time discretization is a variant of the second-order backward scheme proposed by Krasnov et al. (J. Fluid Mech., 2008). Highresolution direct numerical simulations of turbulent incompressible channel flow have been performe...

Profiles of the strong lines Ca II 8542 Å and Mg I 8806 Å in the spectra of the Hyades stars vB 37 (F4 V), vB 52 (G1 V), vB 64 (G6 V), vB 73 (G1 V), γ Tau (K0 III) and Tau (K0 III) have been recorded at high resolution and with signal/noise ≥ 100. The usefulness of these lines as indicators of global metallicity and, in the cases of the late-type giant stars, surface gravity is illustrated. Our...

Relative to a hereditary torsion theory $tau$ we introduce a dimension for a module $M$, called {em $tau$-rank of} $M$, which coincides with the reduced rank of $M$ whenever $tau$ is the Goldie torsion theory. It is shown that the $tau$-rank of $M$ is measured by the length of certain decompositions of the $tau$-injective hull of $M$. Moreover, some relations between the $tau$-rank of $M$ and c...

‎Let $R$ be a $*$-prime ring with center‎ ‎$Z(R)$‎, ‎$d$ a non-zero $(sigma,tau)$-derivation of $R$ with associated‎ ‎automorphisms $sigma$ and $tau$ of $R$‎, ‎such that $sigma$‎, ‎$tau$‎ ‎and $d$ commute with $'*'$‎. ‎Suppose that $U$ is an ideal of $R$ such that $U^*=U$‎, ‎and $C_{sigma,tau}={cin‎ ‎R~|~csigma(x)=tau(x)c~mbox{for~all}~xin R}.$ In the present paper‎, ‎it is shown that if charac...

The existing tau-selection strategy, which was designed for explicit tau leaping, is here modified to apply to implicit tau leaping, allowing for longer steps when the system is stiff. Further, an adaptive strategy that identifies stiffness and automatically chooses between the explicit and the (new) implicit tau-selection methods to achieve better efficiency is proposed. Numerical testing demo...