ABEL AND BLOXAM'S CHEMISTRY.

Responses to the comments of Todd Abel on behalf of the Chlorine Chemistry Division of the American Chemistry Council

OEHHA is proposing to replace the Toxicity Equivalency Factors (TEF), which were developed by the World Health Organization (WHO) in 1997, with the more recent TEF values developed by the WHO in 2005. We agree with and support this revision. As noted correctly by OEHHA, the TEF methodology has evolved and improved over the years as additional toxicological data became available. The adoption of...

Abel Maps and Presentation Schemes

We sharpen the two main tools used to treat the compactified Jacobian of a singular curve: Abel maps and presentation schemes. First we prove a smoothness theorem for bigraded Abel maps. Second we study the two complementary filtrations provided by the images of certain Abel maps and certain presentation schemes. Third we study a lifting of the Abel map of bidegree (m, 1) to the corresponding p...

Abel summability and angular convergence

We construct an example of a series that is Abel summable but whose associated power series does not converge on angular sectors. We also give some related results.

Argumentative Reasoning with ABEL

Most formal approaches to argumentative reasoning under uncertainty focus on the analysis of qualitative aspects. An exception is the framework of probabilistic argumentation systems. Its philosophy is to include both qualitative and quantitative aspects through a simple way of combining logic and probability theory. Probabilities are used to weigh arguments for and against particular hypothese...

Formal Development with ABEL