S G B Belgian Mathematical Society

On Pre-θ-Open Sets and Two Classes of Functions

Finite groups with $X$-quasipermutable subgroups of prime power order

Let $H$, $L$ and $X$ be subgroups of a finite group$G$. Then $H$ is said to be $X$-permutable with $L$ if for some$xin X$ we have $AL^{x}=L^{x}A$. We say that $H$ is emph{$X$-quasipermutable } (emph{$X_{S}$-quasipermutable}, respectively) in $G$ provided $G$ has a subgroup$B$ such that $G=N_{G}(H)B$ and $H$ $X$-permutes with $B$ and with all subgroups (with all Sylowsubgroups, respectively) $...

Reprint from the Bulletin of the Belgian Mathematical Society – Simon Stevin Degenerations of the Veronese and Applications

The Bulletin of the Belgian Mathematical Society Simon Stevin is published by The Belgian Mathematical Society, with financial support from the Universitaire Stichting van Belgie – Fondation Universitaire de Belgique and the Fonds National de la Recherche Scientifique (FNRS). It appears quarterly and is indexed and/or abstracted in Current

Human 3-D tissue models in radiation biology: current status and future perspectives

In this review, we discuss the use of a variety of 3-D models (particularly 3-D skin, lung, breast and endothelial) in radiobiological research and highlight the differences in responses compared to 2-D culturing conditions (monolayers). We review the characteristics of existing 3-D models and aim to point out the substantial advantages 3-D cultures provide for modern radiobiology. In particula...

‎A matrix LSQR algorithm for solving constrained linear operator equations

In this work‎, ‎an iterative method based on a matrix form of LSQR algorithm is constructed for solving the linear operator equation $mathcal{A}(X)=B$‎ ‎and the minimum Frobenius norm residual problem $||mathcal{A}(X)-B||_F$‎ ‎where $Xin mathcal{S}:={Xin textsf{R}^{ntimes n}~|~X=mathcal{G}(X)}$‎, ‎$mathcal{F}$ is the linear operator from $textsf{R}^{ntimes n}$ onto $textsf{R}^{rtimes s}$‎, ‎$ma...