交叉路口分析

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1、JudgesCommentary:TracCirclesKellyBlackApril15,2009KellyBlackisafacultymemberintheDepartmentofMathematicsandComputerScienceatClarksonUniversity.Hereceivedhisundergraduatede-greeinMathematicsandComputerSciencefromRose-HulmanInstituteofTechnologyandhisMastersandPh.D.fromtheApplied

2、Mathematicspro-gramatBrownUniversity.Hehaswiderangingresearchinterestsincludinglasersimulations,ecology,andspectralmethodsfortheapproximationofpartialdierentialequations.Contents1OverviewoftheProblem22TracCircles22.1TheGoal.............................22.2TechnicalSummary.....

3、...................33GradingProcess43.1InitialGrading..........................43.2ScreeningRound.........................43.3FinalRounds...........................54Approaches54.1Deterministic...........................54.2Stochastic.............................65CommonThemes75

4、.1Summary.............................75.2Grammar,Punctuation,andEquations.............75.3ProperCitations.........................85.4SensitivityandStability.....................85.5FiguresandTables........................85.6ConsistencyAcrossthePaper..................96Conclus

5、ions911OverviewoftheProblemStudentswhodecidedtoexploretheAprobleminthisyear'sMathematicalContestinModelingexaminedwaystocontroltheowofvehiclesmovingthroughatraccircle.Someofthemethodsthatareavailabletocontroltheowoftracweregivenintheproblemstatement.Themethodsgivenincludet

6、heuseofyieldsigns,stopsigns,andtraclights.Inthisoverview,Iprovidesomeobservationsaboutthejudgingoftheentriesinthisyear'scompetition.Theseobservationsmakeuseofinputfromtheobservationsofotherjudgesaswellasmyown.First,abroadoverviewofthecriteriathatwasdevelopedfromourinitialreadin

7、goftheproblemispresented.Inthesectionthatfollows,section2,abriefoverviewoftheproblemstatementisexplored.Insection3,anoverviewofthejudgingitselfisgiven.Insection4alistofsomeofthecommonapproachesadoptedbythestudentsisgiven.Finally,insection5alistofsomeofthecommonthemesandmoredetai

8、ledpointsthatemergedasthejudgingproceededisgive