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The
UMAP
Publisher COMAP, Inc.
Vol. 31, No. 2
Executive Publisher Solomon A. Garfunkel ILAP Editor Chris Arney
Dept. of Math‘l Sciences U.S. Military Academy West Point, NY 10996
david.arney@usma.edu
On Jargon Editor Yves Nievergelt Dept. of Mathematics Eastern Washington Univ.
Journal
Cheney,WA 99004
ynievergelt@ewu.edu
Reviews Editor James M. Cargal Mathematics Dept. Troy University— Montgomery Campus 231 Montgomery St. Montgomery, AL 36104
jmcargal@sprintmail.com
Chief Operating Officer Laurie W. Arag′on Production Manager GeorgeWard Copy Editor Julia Collins Distribution John Tomicek Editor
Paul J. Campbell Beloit College 700 College St. Beloit, WI 53511–5595 campbell@beloit.edu Associate Editors Don Adolphson Chris Arney Aaron Archer Ron Barnes Arthur Benjamin Robert Bosch James M. Cargal Murray K. Clayton Lisette De Pillis James P. Fink Solomon A. Garfunkel William B. Gearhart William C. Giauque Richard Haberman Jon Jacobsen Walter Meyer Yves Nievergelt Michael O‘Leary Catherine A. Roberts
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St. Mark‘s School, Dallas
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Applications (COMAP), Inc., Suite 3B, 175 Middlesex Tpke., Bedford, MA, 01730, in cooperation
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Mathematical Contest in Modeling (MCM)?, High School Mathematical Contest in
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Vol. 31, No. 2 2010 Table of Contents Editorial
The Modeling Contests in 2010
Paul J. Campbell............................................................................. 93
MCM Modeling Forum
Results of the 2010 Mathematical Contest in Modeling
Frank R. Giordano .......................................................................... 95 The Sweet Spot: AWave Model of Baseball Bats
Yang Mou, Peter Diao, and Rajib Quabili ....................................... 105 Judges’ Commentary: The Outstanding Sweet Spot Papers
Michael Tortorella......................................................................... 123 Centroids, Clusters, and Crime: Anchoring the Geographic Profiles of Serial Criminals
Anil S. Damle, Colin G.West, and Eric J. Benzel.............................. 129 Judges’ Commentary: The Outstanding Geographic Profiling Papers Marie Vanisko .............................................................................. 149 Judges’ Commentary: The Fusaro Award for the Geographic Profiling Problem
Marie Vanisko and Peter Anspach ................................................. 153
ICM Modeling Forum
Results of the 2010 Interdisciplinary Contest in Modeling
Chris Arney ................................................................................. 157 Shedding Light on Marine Pollution
Brittany Harris, Chase Peaslee, and Kyle Perkins ............................ 165 Author’s Commentary: The Marine Pollution Problem
Miriam C. Goldstein ..................................................................... 175 Judges’ Commentary: The Outstanding Marine Pollution Papers Rodney Sturdivant........................................................................ 179
Editorial 93
Editorial
The 2010 Modeling Contests
Paul J. Campbell
Mathematics and Computer Science Beloit College
Beloit, WI 53511–5595 campbell@beloit.edu
Background
Based on Ben Fusaro‘s suggestion for an ―applied Putnam‖ contest, in 1985 COMAP introduced theMathematicalContest inModeling (MCM)!R . Since then, this Journal has devoted an issue each year to the Outstanding contest papers. Even after substantial editing, that issue has sometimes run
to more than three times the size of an ordinary issue. From 2005 through 2009, some papers appeared in electronic form only.
The 2,254 MCM teams in 2010 was almost double the number in 2008.