Entering 2014

U.S. Dental School Applicants and Enrollees, 2014 Entering Class.

This report analyzes data collected annually by the American Dental Education Association (ADEA) on the characteristics of applicants to and first-year enrollees in dental schools. Among the key findings this year are that, since 2010, there has been a gradual decline in the number of individuals taking the Dental Admission Test (DAT), while the number applying to dental schools has remained re...

Yet another Local Search Solver and Lingeling and Friends Entering the SAT Competition 2014

This paper serves as solver description for the SAT solvers Lingeling and its two parallel variants Treengeling and Plingeling, as well as for our new local search solver YalSAT entering the Competition 2014. For Lingeling and its variants we only list important differences to earlier version of these solvers as used in the SAT Competition 2013. For further information we refer to the solver de...

Entering the Extranet Era

Combinatorics entering the third millennium

In the later part of the century, attitudes changed. When the 1998 film Good Will Hunting featured a famous mathematician at the Massachusetts Institute of Technology who had won a Fields Medal for combinatorics, many found this somewhat unbelievable.2 However, life followed art in this case when, later in the same year, Fields Medals were awarded to Richard Borcherds and Tim Gowers for work mu...

Entering and Leaving j-Facets

Let S be a set of n points in d-space, no i + 1 points on a common (i − 1)-flat for 1 ≤ i ≤ d. An oriented (d − 1)-simplex spanned by d points in S is called jfacet of S, if there are exactly j points from S on the positive side of its affine hull. We show: (*) For j ≤ n/2 − 2, the total number of (≤ j)-facets (i.e. the number of i-facets with 0 ≤ i ≤ j) in 3-space is maximized in convex positi...