Gray-Scott model has been studied extensively in recent years. However, most of the results are in one dimensional. In this paper, we study the 2-D Gray-Scott system. We rst construct two single pulse solutions and then we establish the stability and instability of such solutions in terms of the parameters involved.

Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restrictive criterion but luckily constructions for pairing-friendly elliptic curves with such twists exist. In fact, Freeman, Scott and Teske showed in their overview paper that often the best known methods of constructing ...

Let G be a connected, simple, and finite graph. For an ordered set W={w1,w2,…,wk}⊆V(G) vertex v of G, the representation with respect to W is k-vector r(v|W)=(dG(v,w1),…,dG(v,wk)). The called resolving if every two vertices has different representation. A containing minimum number basis H. elements in metric dimension denoted by dim(G). In this paper, we considered where induced subgraph does n...

introduction: this in vitro study assessed and compared the cytotoxicity of mineral trioxide aggregate (mta), calcium-enriched mixture (cem) cement, biodentine (bd) and octacalcium phosphate (ocp) on stem cells of the human apical papilla (scap). methods and materials: scaps were isolated from two semi-impacted third molars. the cells were cultured in wells of an insert 24-well plate and were t...

In this study, two new salicylideneaniline derivative compounds which are an isomer of each other have been synthesized and characterized by X-Ray Diffraction (XRD) technique, IR spectroscopy, and theoretical method. While (E)-4-(dihydroxyamino)-2-(((4-fluorophenyl)imino) methyl)phenol (1), crystalizes triclinic P-1 space group, (E)-4-(dihydroxyamino)-2-(((3-fluorophenyl)im...

For a fixed graph H, the H-IS-Deletion problem asks, given G, for minimum size of set S?V(G) such that G?S excludes H as an induced subgraph. We are interested in determining, smallest function fH(t) can be solved time fH(t)?nO(1) assuming Exponential Time Hypothesis, where t and n denote treewidth number vertices respectively. show fH(t)=2O(th?2) every on h?3 vertices, fH(t)=2O(t) if is clique...

We prove the Avrunin-Scott theorem for quantum complete intersections; the rank variety of a module is isomorphic to its support variety.

Social Desirability Bias (SDB) is the tendency in respondents to answer questions untruthfully in the hope of giving good impression to others. SDB occurs when the survey question is highly sensitive or personal, and responses cause sample statistics to systematically over-or underestimate corresponding population parameters. The Randomized Response Technique (RRT) is one of several methods to ...

The official end of Walter Scott’s often barely concealed anonymity as a novelist came with his putting his name to the ‘Introduction’ of the first volume of his Chronicles of the Canongate in 1827, where ‘The Author of Waverley’ and its successors finally dropped his mask and admitted what so many of his readers had long known. After admitting no obvious reason for his choice of remaining anon...