Open Distance-Pattern Uniform Graphs

All graphs considered in this paper are finite, simple, undirected and connected. For graph theoretic terminology we refer to Harary [6]. The concept of open distance-pattern and open distance-pattern uniform graphs weresuggested by B.D. Acharya

The Costs of Judging Judges by the Numbers

This essay discredits current empirical models that are designed to “judge” or rank appellate judges, and then assesses the harms of propagating such models. First, the essay builds on the discussion of empirical models by arguing that (1) the judicial virtues that the legal empiricists set out to measure have little bearing on what actually makes for a good judge; and (2) even if they did, the empiricists’ chosen variables have not measured those virtues accurately. The essay then concludes that by generating unreliable claims about the relative quality of judges, these studies mislead both decision-makers and the public, degrade discussions of judging, and could, if taken seriously, detrimentally alter the behavior of judges themselves

The Riccati System and a Diffusion-Type Equation

We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered.Comment: 11 pages, no figure