In the above article [1] , ref-type="disp-formula" rid="deqn22" xmlns:xlink="http://www.w3.org/1999/xlink">(22) should be corrected by inserting $\sqrt{3}$ </inli...

We show, in detail, that the only non-trivial black hole (BH) solutions for a neutral as well charged spherically symmetric space-times, using class ${\textit F(R)}={\textit R}\pm{\textit F_1 (R)} $, must-have metric potentials form $h(r)=\frac{1}{2}-\frac{2M}{r}$ and $h(r)=\frac{1}{2}-\frac{2M}{r}+\frac{q^2}{r^2}$. These BHs have of Ricci scalar, i.e., $R=\frac{1}{r^2}$ (R)}=\mp\frac{\sqrt{\te...

We consider an 'electric' $U(N)$ level $k$ QCD$_3$ theory with one adjoint Majorana fermion. Inspired by brane dynamics, we suggest that for $k \ge N/2$ the massive $m<0$ theory, in vicinity of supersymmetric point, admits a $U(k-\frac{N}{2})_{-(\frac{1}{2}k+\frac{3}{4}N),-(k+\frac{N}{2})}$ 'magnetic' dual The magnetic flows IR to topological $U(k-\frac{N}{2})_{-N,-(k+\frac{N}{2})}$ pure Chern-...

For any $k in mathbb{N}$, the $k$-subdivision of graph $G$ is a simple graph $G^{frac{1}{k}}$, which is constructed by replacing each edge of $G$ with a path of length $k$. In [Moharram N. Iradmusa, On colorings of graph fractional powers, Discrete Math., (310) 2010, No. 10-11, 1551-1556] the $m$th power of the $n$-subdivision of $G$ has been introduced as a fractional power of $G$, denoted by ...

The main goal of this paper is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation$$x_{n+1}=frac{alpha+beta x_{n}}{A + Bx_{n}+ Cx_{n-k}},~~ n=0,1,2,ldots,$$where the parameters $alpha$, $beta$, $A$, $B$ and $C$ are positive, and the initial conditions $x_{-k},x_{-k+1},ldots,x_{-1},x_{0}$ are...

Linear index coding can be formulated as an interference alignment problem, in which precoding vectors of the minimum possible length are to be assigned to the messages in such a way that the precoding vector of a demand (at some receiver) is independent of the space of the interference (non sideinformation) precoding vectors. An index code has rate 1 l if the assigned vectors are of length l. ...

Studies on normal tissues have suggested that the ribonucleic acid (RNA) of nuclei, mitochon dna, microsomes, and supernatant fluid isolated from tissue homogenate has a characteristic nu cleotide composition (7, 8, 16), while other data did not support such a view (6). Results obtained in this laboratory revealed, in fact, the occurrence of characteristic ribonucleic acids in rat liver frac ti...