Intercircuit splits occur when two or more circuits on the U.S. Courts of Appeals issue different legal rules about the same legal question. When this happens, federal law is applied differently in different parts of the country. Intercircuit splits are an indicator of legal non-uniformity, an impediment to lawyering and judging, and have real, practical consequences for American law. They are ...

A random walk on a directed graph gives a markov chain on the vertices on the graph. An important question that arises often in the context of markov chain is whether the uniform distribution on the vertices of the graph a stationary distribution for the markov chain. Testing whether a distribution is uniform or “far” from being uniform is a well studied problem in property testing and statisti...

My talk is based on article [1]. Our aim is to give a unified topological approach to several results about a certain type of fuzzy measures, namely T∞−valuations (2) on clans of fuzzy sets (1) (in the sense of Butnariu and Klement [2]). We will transfer the method of [3], used to study FN-topologies (4) and measures on Boolean rings, to the study of T∞−valuations. So we need, for the domain of...

The Protein Data Bank (PDB; http://www.rcsb.org/pdb/) is the single worldwide archive of structural data of biological macromolecules. This paper describes the data uniformity project that is underway to address the inconsistency in PDB data.

In this study, four different type seeders were evaluated for seed spacing, depth uniformity, and plant emergence at three forward speeds (3.6, 5.4, and 7.2 km h-1). The planter types were: no-till planter, precision vacuum planter, universal planter, and semi-automatic potato planter. The sowing uniformity of the horizontal distribution of seeds was described by using the multiple index, the m...

We prove a number of results motivated by global questions of uniformity in recursion theory, and some longstanding open questions about universality of countable Borel equivalence relations. Our main technical tool is a class of games for constructing functions on free products of countable groups. These games show the existence of refinements of Martin’s ultrafilter on Turing invariant sets t...

UNLABELLED We describe a tool for quantifying the uniformity of mapped reads in high-throughput sequencing experiments. Our statistic directly measures the uniformity of both read position and fragment length, and we explain how to compute a P-value that can be used to quantify biases arising from experimental protocols and mapping procedures. Our method is useful for comparing different protoc...