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: 1“Handconsistsofamovablepipewithsprinklerontopthatcanbeattachedtoastationarymain.2:……isareal-lifecommonphenomenonwithmany例3:An(effectiven)iscrucial直接问题例1:Wefindtheoptimalnumberoftollboothsinahighwaytoll-zaforagivennumberofhighwaylanes:thenumberoftollboothsthatminimizesaveragedelayexperiencedbycars.2:Abrand-newuniversityneedstobalancethecostofinformationtechnologysecuritymeasureswiththepotentialcostofattacksonitssystems.例3:Wedeterminethenumberofsprinklerstousebyyzingtheenergyandmotionofwaterinthepipeandexaminingtheengineeringparametersofsprinklersavailableinthemarket.例4:Aftermathematicallyyzingthe……problem,ourmodelingwouldliketopresentourconclusions,strategies, mendations)tothe5:Ourgoalis...that(minimizesthetimeWithoutimplementingdefensivemeasure,theuniversityisexposedtoanexpectedlossof$8.9millionperyear.WeaddresstheproblemofoptimizingamusementparkenjoymentthroughdistributingQuickPasses(QP),reservationslipsthatideallyallowanindividualtospendlesstimewaitinginline.1Weformulatetheproblemasanetworkflowinwhichverticesarethelocationsofescortsandwheelchairpassengers.例2:Anaïvestrategywouldbetoemploytheminimumnumberofescortstoguaranteethatallpassengersreachtheirgatesontime.3:Wedividethejumpintothreephases:flyingthroughtheair,punchingthroughthestack,andlandingontheground.在什么模型中/andhowthischangewouldaffecttheoverallconsumptionofwaterwithinthestudied2:Weexaminedthemathematicaleffectsof……Wedevelopedadetailed(simulationmethodology)totestourideasandtofythedifferencesbetween(among)different……(strategies).3:Basedon(writeyourbasis.suchasthetheoryofsupplyanddemand),weestablishamodel(suchasdifferentialequationsystemthatincludesdemand,supply).4:To(writetheaimsweestablishacriterion(writethe5:Webuildamodeltodeterminehowtolayoutthepipeeachtimetheequipmentismoved.6:Wedetermine7:Webuildamodelto例8:Weformulateamodelfor………Byyzing…and1:UsinghistoricaldatafromtheUnitedStateswedetermineinitialconditionsforourmodel.1:thismodelleadstoacomputersimulationofcatch-cantestsoftheirrigationsystemand……2:Softwarepackingreaches………bycalculatingand1:togroundthismodelinreality,weincorporateextensivedemographicdataand2:Wefitthemodifiedmodeltodata(suchas1970-2003.).Weconcludethat(writethelastconclude).1:Wephysicallycharacterizethesystem2:Weprovideastrategy(writethelogical3:The…modelisefficientintuitive,andflexibleandcouldbeapplied例4:Tomeettheneedsofpeopletodaywithout,weestablishacriterionofrational(合理的标准)oil 例:Weshowthatthisstrategyisnotoptimalbutcanbeimprovedbyassigningdifferentnumbers……thecostwouldbe……2:Wemodifythemodeltoreflect(sometrendsuchasexponentiallyincreasing……)andgeneralizethemodelto(otherfield).例3:OurresultsaresummarizedintheformulafortheoptimalnumberBoftollboothsfor例:Forvarioussituationsweproposeanoptimal1:weelicitthata例2:Weconcludewithaseriesof mendationsforhowbestto…例:Inadditiontothemodelwealsodiscusspoliciesfor例:Todemonstratehowourmodelworksweapplyitto例:Oursuggestedsolution,whichiseasytoimplement,includesadetailedtimetableandthearrangementofpipes.例1Ouralgorithmisbroadenoughto schedules,andflightdelays.例2:Our ysisbeganbydeterminingwhatfactorimpact……,Ourconclusionsare例:Sinceourmodelisbasedon……itcanbeappliedto(other例:Inadditiontothemodelwealsoreview,summarize,present,outline,describepurpose,attempt,aim等,另外还可以用动词不定式 的重点内容或研究范围,常用词汇有study,present,include,focus,emphasize,emphasis,attention等teststudy,investigate,examine,experiment,discuss,consider,yze,ysis等measureestimate,calculateshow,resultpresentsummaryintroduce,conclude等(1)陈述 的论点和作者的观点,常用词汇有suggest,repot,present,expect,describe等(2)说明论证,常用词汇有等support,provide,indicate,identify,demonstrate,confirm,推荐和建议常用词汇有suggest,suggestion, propose,necessity,necessary,expect等。criticalalgorithm method

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