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 ...

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...

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In this paper we give an outline of recent algebraic results concerning theories and models of the untyped lambda calculus.

Department of Mathematics, Texas Tech University, Lubbock, TX 79409, USA; Division of Cardiology and Department of Pediatrics, Division of Endocrinology, Department of Internal Medicine, Scott and White, Temple, TX 76508, USA; Department of Mathematics, Southern Polytechnic State University, Marietta, GA 30060, USA; Department of Mathematics, Texas A & M University, College Station, TX 77843-33...

After the Dred Scott decision in 1857, Abraham Lincoln embarked on a public campaign to prevent the expansion of slavery in the federal territories. Lincoln’s opposition to Dred Scott was, however, bound up with a certain theoretical orientation that is often rejected in the general milieu of modern constitutional theory. Within the context of two recent revisionist accounts of slavery and Amer...