Quasiperiodic tilings are often considered as structure models of quasicrystals. In this context, it is important to study the nature diffraction measures for tilings. article, we investigate S-adic in R^d, which constructed from a family geometric substitution rules. particular, firstly give sufficient condition absolutely continuous component measure an tiling be zero. Next, prove "almost all...

Spectral graph theory discusses about the algebraic properties of graphs based on spectrum a graph. This article investigated prism The method used in this research is circulant matrix. results showed that P2,s regular degree 3, for s odd and ≥ circulantt with spectrum.

Density functional theory calculations were applied to investigate 13C Chemical Shielding (CS) tensors in cryptolepine (1) and its sulfur (2) and oxygen (3) isosteres. The results showed that the CS of carbon nuclei in these compounds may be divided into three types. First, carbons type α,are those directly bonded to X (X= NH, S, O) and σ 33 shielding component of these carbons are deshield...

We define the notion of a principal S-bundle where S is a groupoid group bundle and show that there is a one-to-one correspondence between principal S-bundles and elements of a sheaf cohomology group associated to S. We also define the notion of a locally unitary action and show that the spectrum of the crossed product is a principal b S-bundle. Furthermore, we prove that the isomorphism class ...

We study the entanglement spectrum of Heisenberg spin ladders of arbitrary spin length S in the perturbative regime of strong rung coupling. For isotropic spin coupling the the entanglement spectrum is, within first order perturbation theory, always proportional to the energy spectrum of the single chain with a proportionality factor being also independent of S. A more complicated situation ari...

Tigecycline is a new glycylcycline antibiotic structurally similar to minocycline antibiotic. It has broad spectrum activity, including Staphylococcus aureus infections. This is the first study that evaluated the activity of Tigecycline against Staphylococcus aureus isolated from biological samples in Iran. In vitro activity of tigecycline against 160 Staphylococcus aureus including 99 methicil...