‎let $g$ be a finite group and $pi_{e}(g)$ be the set of element‎ ‎orders of $g$‎. ‎let $k in pi_{e}(g)$ and $m_{k}$ be the number of‎ ‎elements of order $k$ in $g$‎. ‎set nse($g$):=${ m_{k} | k in‎ ‎pi_{e}(g)}$‎. ‎in this paper‎, ‎we prove that if $g$ is a group such‎ ‎that nse($g$)=nse($psl(2‎, ‎25)$)‎, ‎then $g cong psl(2‎, ‎25) $‎.

Adaptive rational interpolation has been designed in the context of image processing as a new nonlinear technique that avoids Gibbs phenomenon when we approximate discontinuous function. In this work, present generalization to method giving explicit expressions for all weights any order algorithm. It similar behavior weighted essentially non oscillatory (WENO) but design case is more simple. Al...

We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove strong necessary optimality condition of Pontryagin type. The possibility that admissible are subject to pointwise constraints is new requires more sophisticated techniques include maximality condition. start by proving results continuity solutions due needle-like pe...