【正文】 r)Richard Douglas West, Francis Marion University, Florence, SCCriminology ProblemHead JudgeMaynard Thompson, Mathematics Dept., University of Indiana,Bloomington, INAssociate JudgesPeter Anspach, National Security Agency, Ft. Meade, MD(Head Triage Judge)Kelly Black, Mathematics Dept., Union College, Schenectady, NY102The UMAP Journal (2010)Jim Case (SIAM Judge)William P. Fox, Dept. of Defense Analysis, Naval Postgraduate School,Monterey, CAFrank R. Giordano, Naval Postgraduate School, Monterey, CAVeena Mendiratta, Lucent Technologies, Naperville, ILDavid H. Olwell, Naval Postgraduate School, Monterey, CAMichael O’Leary, Towson State University, Towson, MD (Problem Author)Kathleen M. Shannon, Dept. of Mathematics and Computer Science,Salisbury University, Salisbury, MD (MAA Judge)Dan Solow, Case Western Reserve University, Cleveland, OH(INFORMS Judge)Marie Vanisko, Dept. of Mathematics, Carroll College, Helena, MT(Ben Fusaro Award Judge)Regional Judging Session at . Military AcademyHead JudgesPatrick J. Driscoll, Dept. of Systems Engineering,United States Military Academy (USMA), West Point, NYAssociate JudgesTim Elkins, Dept. of Systems Engineering, USMADarrall Henderson, Sphere Consulting, LLCSteve Horton, Dept. of Mathematical Sciences, USMATom Meyer, Dept. of Mathematical Sciences, USMAScott Nestler, Dept. of Mathematical Sciences, USMARegional Judging Session at Naval Postgraduate SchoolHead JudgesWilliam P. Fox, Dept. of Defense Analysis, Naval Postgraduate School,Monterey, CAFrank R. Giordano, Naval Postgraduate School, Monterey, CAAssociate JudgesMatt Boensel, Robert Burks, Peter Gustaitis, Michael Jaye, and Greg Mislick—all from the Naval Postgraduate School, Monterey, CATriage Session for Sweet Spot ProblemHead Triage JudgeWilliam C. Bauldry, Chair, Dept. of Mathematical Sciences,Appalachian State University, Boone, NCAssociate JudgesJeffry Hirst, Greg Rhoads, and Kevin Shirley—all from Dept. of Mathematical Sciences, Appalachian State University,Boone, NCResults of the 2010 MCM103Triage Session for Criminology ProblemHead Triage JudgePeter Anspach, National Security Agency (NSA), Ft. Meade, MDAssociate JudgesJim CaseOther judges from inside and outside NSA, who wish not to be named.Sources of the ProblemsThe Sweet Spot Problem was contributed by Michael Tortorella (RutgersUniversity), and the Criminology Problem by Michael O’Leary (TowsonUniversity) and Kelly Black (Clarkson University).AcknowledgmentsMajor funding for the MCM is provided by the National Security Agency(NSA) and by COMAP. Additional support is provided by the Institute forOperations Research and the Management Sciences (INFORMS), the Society for Industrial and Applied Mathematics (SIAM), and the MathematicalAssociation of America (MAA). We are indebted to these organizations forproviding judges and prizes.We also thank for their involvement and support the MCM judges andMCM Board members for their valuable and un?agging efforts, as well astechnical ?nancial professionals based in New York builds and operatessophisticated quantitative trading strategies for domestic and international markets. The ?rm is successfully managing several billion dollars using highlyautomated trading technologies. For more informationabout Two Sigma, please visit .)the clock and around the globe. “We bring a deep understanding ofmarkets, a scienti?c approach, and innovative technology to bear on theproblem of trading pro?tably in the world’s highly petitive ?nancialmarkets, focusing primarily on equities and equity derivatives. Foundedin 2000, Jane Street employes over 200 people in of?ces in new York, London, and Tokyo. Our entrepreneurial culture is driven by our talentedteam of traders and programmers.” For more information about JaneStreet Capital, please visit .) Two Sigma Investments. (This group of experienced, analytical, and Jane Street Capital, LLC. (This proprietary trading ?rm operates around104The UMAP Journal (2010)CautionsTo the reader of research journals:Usually a published paper has been presented to an audience, shownto colleagues, rewritten, checked by referees, revised, and edited by a journal editor. Each paper here is the result of undergraduates working ona problem over a weekend. Editing (and usually substantial cutting) hastaken place。 minor errors have been corrected, wording altered for clarityor economy, and style adjusted to that of The UMAP Journal. The studentauthors have proofed the results. Please peruse their efforts in that context.To the potential MCM Advisor:It might be overpowering to encounter such output from a weekendof work by a small team of undergraduates, but these solution papers arehighly atypical. A team that prepares and participates will have an enriching learning experience, independent of what any other team does.COMAP’s Mathematical Contest in Modeling and Interdisciplinary Contest in Modeling are the only international modeling contests in whichstudents work in teams. Centering its educational philosophy on mathematical modeling, COMAP uses mathematical tools to explore realworldproblems. It serves the educational munity as well as the world of workby preparing students to bee betterinformed and betterprepared citizens.Editor’s NoteThe plete roster of participating teams and results has bee toolong to reproduce in the printed copy of the Journal. It can now be foundat the COMAP Website, in separate ?les for each problem:2010/results/2010/results/The Sweet Spot105The Sweet Spot: A Wave Model ofBaseball BatsRajib QuabiliPeter DiaoYang MouPrinceton UniversityPrinceton, NJAdvisor: