In the classic Josephus problem, elements 1, 2, . . . , n are placed in order around a circle and a skip value k is chosen. The problem proceeds in n rounds, where each round consi...
We study the limit as n 0 of the nonnegative, self-similar source-type solutions of the thin film equation ut + (unuxxx)x = 0. We obtain a unique limiting function u, which is a s...
In many retrieval tasks, one important goal involves retrieving a diverse set of results (e.g., documents covering a wide range of topics for a search query). First of all, this r...
Given a large collection of medical images of several conditions and treatments, how can we succinctly describe the characteristics of each setting? For example, given a large col...