In this paper, using the best proximity theorems for an extensionof Brosowski's theorem. We obtain other results on farthest points. Finally, wedene the concept of e- farthest points. We shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a-best approximati...

Let $R$ be an associative ring with unity. An element $x \in R$ is called $\mathbb{Z}G$-clean if $x=e+r$, where $e$ is an idempotent and $r$ is a $\mathbb{Z}G$-regular element in $R$. A ring $R$ is called $\mathbb{Z}G$-clean if every element of $R$ is $\mathbb{Z}G$-clean. In this paper, we show that in an abelian $\mathbb{Z}G$-regular ring $R$, the $Nil(R)$ is a two-sided ideal of $R$ and $\fra...

صخلملا Seasonal variation of zooplankton biomass has been carried out at two selected sites on Greater Zab River. Monthly samples of water were collected during period from January to December 2008. Some physico-chemical properties of water were studied including water temperature (from 8 to 30.5 C), hydrogen ion concentration (from 6.3 to 8), EC (from 255 to 821 μs.cm), turbidity (1085 NTU), d...

خلا صلا ـ ة : عون نم يفيكتلا ةانقلا ردقم ءادلأ اًضرع ثحبلا اذه مدقي LMS ةيئاضفلا ةرفشملا تاعومجملا مظن يف نييئاوه مدختست يتلا ةينمزلا لإل اسر ل لابقتسلال اًدحاو اًيئاوهو . و ةانق يه ةمدختسملا ةيكلسلالا ةانقلا Rayleigh ءاضوضلا دوجوب ىسواجلا (Gaussian) يمجتلا جارخلاا يف يع . و حضوت ثحبلا جئاتن إ دحاو لماعم يذ ةانق ردقم مادختساب زاحنم ريغ ريدقت ىلع لوصحلا ةيناكم ) يراسم نم لكل لإا ةراش .( و وحن ةيف...

To a simple graph $G=(V,E)$, we correspond a simple graph $G_{triangle,square}$ whose vertex set is ${{x,y}: x,yin V}$ and two vertices ${x,y},{z,w}in G_{triangle,square}$ are adjacent if and only if ${x,z},{x,w},{y,z},{y,w}in Vcup E$. The graph $G_{triangle,square}$ is called the $(triangle,square)$-edge graph of the graph $G$. In this paper, our ultimate goal is to provide a link between the ...

Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ ...

This paper uses formal methods to improve the security of the ecommerce system specifications and reduce the number of security threats to the minimum. The result shows the effectiveness of using formal methods for empowering ecommerce security. Z specification language is used to design the e-commerce system & specify security constraints. Besides, Z/EVES formal methods tool is considered for ...