In this paper, we investigate relation between weak subdifferential and augmented normal cone. We define augmented normal cone via weak subdifferential and vice versa. The necessary conditions for the global maximum are also stated. We produce preliminary properties of augmented normal cones and discuss them via the distance function. Then we obtain the augmented normal cone for the indicator f...

We present a study of the notion of coalgebraic simulation introduced by Hughes and Jacobs. Although in their original paper they allow any functorial order in their definition of coalgebraic simulation, for the simulation relations to have good properties they focus their attention on functors with orders which are strongly stable. This guarantees a so-called “composition-preserving” property ...

original article   in order to achieve safe conditions at workplace should correctly understand the concept of hazard. in the hazard conceptual and common definition this means that dangerous event or situation that may lead to an emergency or disaster. it could also be a biological, chemical, or physical agent in (or a property of) an environment that may have an adverse health effect, or may ...

In this paper we define the removable cycle that, if $Im$ is a class of graphs, $Gin Im$, the cycle $C$ in $G$ is called removable if $G-E(C)in Im$. The removable cycles in Eulerian graphs have been studied. We characterize Eulerian graphs which contain two edge-disjoint removable cycles, and the necessary and sufficient conditions for Eulerian graph to have removable cycles h...

Why do our patients have to meet our needs? The image I have is not someone who is difficult, but rather someone who is doing the best she can in her own life and is not willing to bend to fit our expectations. R eceiving a referral for a patient who is described as being difficult is not uncommon for me, particularly after many years of working in what some might call “non-mainstream” areas. H...

In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.