Gerrymandering is returning to the Supreme Court. For the first time in three decades, a federal court invalidated redistricting legislation on the grounds that it constituted a partisan gerrymander in violation of the Fourteenth Amendment. That court relied, in part, on a new tool—the efficiency gap—which some have touted as the means to “end gerrymandering once and for all.” We evaluate this ...

To study the size effect on the properties of copper, tensile tests were performed with pure copper foil (thickness range from 25 μm to 300 μm) by cold rolling. A pronounced size effect was observed at a thickness of 76 μm. The results showed that ultimate strength increased as sample thickness decreased from 300 μm to 100 μm, however, this was decreased as the thickness changed from 76 μm to 2...

In this text a new approach to zone design is put forward, this approach relies on the use of point data to do what has usually been done through the use of polygons (Openshaw et all 1995, Martin 2000). This approach can be extended to a wide range of problems characterized by the need to aggregate m points into a smaller group of n points, given a certain optimization objective. It is felt tha...

Social scientists have made progress in providing the courts with useful measures of partisan asymmetry in the transformation of votes to seats, but have thus far left a larger question unanswered: how can partisan gerrymandering be distinguished from a state legislature’s acceptable efforts to apply traditional districting criteria, keep communities of interest together, and facilitate the rep...

As various geospatial images are available for analysis, there is a strong need for an intelligent geospatial image processing method. Segmenting and districting digital images is a core process and is of great importance in many geo-related applications. We propose a flexible image segmentation framework based on generalized Voronoi diagrams through Euclidean distance transforms. We introduce ...

This paper uses fundamental principles of public choice, mainly the median voter theorem, to develop a simple theory of redistricting. The focus is on how closely policy outcomes correspond to majority rule. The main results are: (1) Potential policy bias in favor of nonmajority groups is structurally linked to the number of legislative seats and the population, and the structure of most states...