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 ...

We are very appreciative of the help of Scott Bradner and many other members of the IETF in completing this study. We would also like to thank

“Microbiology Topics” discusses various topics in microbiology of practical use in validation and compliance. We intend this column to be a useful resource for daily work applications. Reader comments, questions, and suggestions are needed to help us fulfill our objective for this column. Please send your comments and suggestions to column coordinator Scott Sutton at scott. [email protected]...

There exists a countable structure M of Scott rank ωCK 1 where ωM 1 = ω CK 1 and where the LωCK 1 ,ω-theory of M is not ω-categorical. The Scott rank of a model is the least ordinal β where the model is prime in its Lωβ,ω-theory. Most well-known models with unbounded atoms below ωCK 1 also realize a non-principal LωCK 1 ,ω-type; such a model that preserves the Σ1-admissibility of ωCK 1 will hav...

Consumers have rarely known the price of medical care before receiving it, but access to price information is becoming more common. For a group of consumers with access to price information, I use detailed data on search, health care use, and negotiated prices to show that search leads consumers to pay significantly lower prices. I provide suggestive evidence that insurance coverage inhibits th...

We give a new definition of Scott rank motivated by our main theorem: For every countable structure A and ordinal α < ω1, we have that: every automorphism orbit is Σ α -definable without parameters if and only if A has a Π α+1 Scott sentence, if and only if A is uniformly boldface ∆α-categorical. As a corollary, we show that a structure is computably categorical on a cone if and only if it is t...