A motivating factor in the development of object-oriented databases is that they reduce the impedance mismatch [Copeland and Maier 1984] between programming languages and database systems. One benefit is that a straightforward mapping between the type system of the programming language and that of the database reduces the conceptual barrier for the developer’s of database applications. Object-o...

We characterize measures of school segregation for any number of ethnic groups using a set of purely ordinal axioms that includes Scale Invariance: a school district’s segregation ranking should be invariant to changes that do not a¤ect the distribution of ethnic groups across schools. The symmetric Atkinson index is the unique such measure that treats ethnic groups symmetrically and that ranks...

We derive an asymptotic expansion for the Weyl function of a one-dimensional Schrödinger operator which generalizes the classical formula by Atkinson. Moreover, we show that the asymptotic formula can also be interpreted in the sense of distributions.

The priority queue discussed in this talk is an abstract data type supporting theoperations INSERT and DELETEMIN, which transforms an input permutation σ oflength n to an output permutation τ . Atkinson and Thiyagarajah [2] proved that suchpairs (σ, τ) are counted by (n + 1)n−1. This is also well known as Cayley’s formulain graph theory, which counts the number of labeled trees ...