In this note we classify all triples (a, b, i) such that there is a convex lattice polygon P with area a, and b respectively i lattice points on the boundary respectively in the interior. The crucial lemma for the classification is the necessity of b ≤ 2 i+ 7. We sketch three proofs of this fact: the original one by Scott [12], an elementary one, and one using algebraic geometry. As a refinemen...

In the Paris Climate Agreement, countries worldwide committed to reduce greenhouse gas emissions by adopting more sustainable methods of energy use and supply. Yet, there are conflicting views on how to accomplish this goal and which energy sources, systems, and policies should be prioritized in a sustainable energy transition. In their book, Benjamin K. Sovacool, Marilyn A. Brown, and Scott V....

This paper aims to understand how Business Intelligence (BI) tools are used in the organizational environment in order to support the decision-making process. In this line of reasoning, the research method adopted was the single and exploratory Case Study undertaken in a financial company. The data analysis conducted in this research was based on the framework proposed by Keen & Scott-Morton (1...

In this paper, we rigorously prove the existence and stability of multiple spot patterns for the Gray-Scott system in a two dimensional domain which are far from spatial homogeneity. The Green's function together with its derivatives and two nonlocal eigenvalue problems both play a major role in the analysis. We establish a threshold behavior: If a certain inequality holds then we get stability...

This note was prepared in response to Dr. Scott Chubb’s invitation to discuss issues concerning ethics in scientific research that I may have observed during the hectic period following the public announcement of “Cold Fusion” (CF) by Drs. Pons and Fleischmann in 1989. I would like to preface this note with some reflections on select “events” I was personally involved in as editor of Fusion Tec...

In this article, I trace the historical lineage and dynamic processes leading to the creation of the Southern slaveholding Supreme Court of antebellum America. Supported by case studies of several Jeffersonian and Jacksonian era legislative battles over judicial reform, I argue that the complex, multistage creation of the Southern slaveholding Court—the Court that decided cases such as Prigg v....

A new method of decomposing cross-sectional poverty estimates into chronic and transient components is demonstrated using data from a recent household survey in Papua New Guinea. This method is simpler than previously used panel methods because it does not require data on every household in every period. The only requirement is that a subset of the surveyed households have a repeat observation ...

We investigate when the space OX of open subsets of a topological space X endowed with the Scott topology is core compact. Such conditions turn out to be related to infraconsonance of X, which in turn is characterized in terms of coincidence of the Scott topology of OX ×OX with the product of the Scott topologies of OX at (X,X). On the other hand, we characterize diagonality of OX endowed with ...