Let $k$ be field of characteristic $p$, andlet $G$ be any finite group with splitting field $k$. Assume that $B$ is a $p$-block of $G$.In this paper, we introduce the notion of radical $B$-chain $C_{B}$, and we show that the $p$-local rank of $B$ is equals the length of $C_{B}$. Moreover, we prove that the vertex of a simple $kG$-module $S$ is radical if and only if it has the same vertex of th...

The aim of this study was to compare three different cone-beam CT (CBCT) instruments used in dental clinical practice with micro-CT as gold standard. Three female monkeys' (Macaca fascicularis) skulls were selected and scanned by the tested CBCT-s. The most apical visible root canal level on the CBCT images was used as reference level (RL). After the image acquisition by CBCT-s dental jaw secti...

Lycium depressum L. is the only native tree-like life-form species inhabited in saline and alkaline regions of Turkmen Sahra located at Golestan province in Northern Iran. During past years, efforts have been made to increase vegetation cover of the area by cultivation of L. depressum L. to reduce water and wind erosions and dust storm challenges; however, the cultivation of t...

We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L × L × rL and nonperiodic (hard wall) boundary conditions. Using this algorithm for chains of length up to 40,000 monomers and aspect ratios 1 ≤ r ≤ 10 , we show that in the limit of a la...