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1、MCM写作举例摘要第一段:写论文解决什么问题1.问题的重述a.介绍重点词开头:例1:Handmoveirrigation,acheapbutlabor-intensivesystemusedonsmallfarms,consistsofamovablepipewithsprinklerontopthatcanbeattachedtoastationarymain.例2:isareal-lifecommonphenomenonwithmanycomplexities.例3:n(effectiveplan)iscrucialtob.干脆指出问题:例1:Wefindtheoptimalnumbero
2、ftollboothsinahighwaytoll-plazaforagivennumberofhighwaylanes:thenumberoftollboothsthatminimizesaveragedelayexperiencedbycars.例2:Abrand-newuniversityneedstobalancethecostofinformationtechnologysecuritymeasureswiththepotentialcostofattacksonitssystems.例3:Wedeterminethenumberofsprinklerstousebyanalyzin
3、gtheenergyandmotionofwaterinthepipeandexaminingtheengineeringparametersofsprinklersavailableinthemarket.例4:.Aftermathematicallyanalyzingtheproblem,ourWcformulateadifferentialmode1toaccountfortheratesofchangeoftheseuses,andhowthischangewouldaffecttheoverallconsumptionofwaterwithinthestudiedregion.例2:
4、Weexaminedthemathematicaleffectsof.Wedevelopedadetailed(simulationmethodology)totestourideasandtoquantifythedifferencesbetween(among)different(strategies).例3:Basedon(writeyourbasis.suchasthetheoryofsupplyanddemand),weestablishamodel(suchasdifferentialequationsystemthatincludesdemand,supply).例4:To(wr
5、itetheaims),weestablishacriterion(writethecriterion),b.模型非主流例5:Wcbuildamodeltodeterminehowtolayoutthepipeeachtimetheequipmentismoved.例6:Wcdetermine例7:Webuildamodeltodetermine.例8:WeformulateamodelforByanalyzingandexamining.2.分析模型(运用什么数据,怎么做,一般三句话)a.写历史数据例1:UsinghistoricaldatafromtheUnitedStates,wedet
6、ermineinitialconditionsforourmodel.b.写计算机模拟例1:thismodelleadstoacomputersimulationofcatch-canexponentialIyincreasing)andgeneralizethemodelto(otherfield).例3:OurresultsaresummarizedintheformulafortheoptimalnumberBoftolIboothsforc.通过其上状况的列举得到的结论例:Forvarioussituations,weproposeanoptimalsolution,d.得出了结论例1
7、:weelicitthataconclusion.例2:Weconcludewithaseriesofrecommendationsforhowbesttoe.进一步说明其他因素对模型的影响例:Inadditiontothemodel,wealsodiscusspoliciesfor.f.用真实数据检验模型:Todemonstratehowourmodelworks,weapplyitto.最终一段:写总的结论a.说明结论的可行性例:Oursuggestedsolution,whichiseasytoimplement,includesadetailedtimetableandthearran
8、gementofpipes,b.说明算法的广泛性例1:Ouralgorithmisbroadenoughtoaccommodatevariousairportconcourses,flightschedules,andflightdelays.例2:Ouranalysisbeganbydeterminingwhatfactorimpact,Ourconclusionsarepresentedc.说明模型可用于其他领域例:Sinceourmodelisbasedonitcanbeappliedto(otherdomain).其他(承上启下的连接词/常用词组)例:InadditiOntomaxim
9、ize使最大化strategy策略parameter参数,主要的确定因素accuracy精确性strengthsandweaknesses优点和缺点COnlaCt相关的contract建立,构造calculate计算establish建立formula公式modify改进rational合理的countermeasure对策criterion标准,准则ASSUmPtionS引出:Wemakethefollowingassumptionsaboutprocessinthispaper.a.不考虑因素例1:Wcdonottakeintoaccountinteractionsbetweenfacto
10、rs.例2:Theinfluenceofcanbeneglected例3:isidealin,canbeneglected.b.为了简化模型,之后反对不正确,但是合理。例1:Infact(inreality)factorseffecteachothers,butinordertosimplifythemodel,weignoretheinteractionsbetweenfactors.例2:Infactinrealityfactorseffecteachothers,butinordertosimplifythemodel,weignoretheinteractionsbetweenfact
11、ors,c.近似例1:canbeapproximatedasalinerfunctionof.例2:areassumedtobethesame.Inpractice,thereisaslightdifference.例3:canbeapproximatedasalinerfunctionof.d.细致考虑(可附缘由)例1:nairportconsistsof1to10concourses,eachofwithconsistsof2to50gates.Gatesinthesameconcoursearegenerallylocatedclosetooneanother,whiIethetrave
12、ltimebetweenconcoursescanbequitelengthy.Hence,weassumethatinter-concoursetravelismuchlengthierthanintra-concoursetravel.例2:Aaveragefastwalkingspeedis250ftmin(3mph),butaveragespeedwhenarmsareimmobilized(aswhenpushingawheelchair)isonly180ft/min(2mph)GrossandShi2001.Wcassumethatanescortwalksatthesespee
13、ds.例3:nescortcanoperateonlyonewheelchairatatime.U.S.Dept.oftransportationguidelinesdiscouragesleavingWPsunattended.Hence,theescorttakesaWPtotheconnectingflightandremainsuntiltheflighleaves.e.干脆定义(假设):例1:Tomeasurethe,wedefine例2:Yearlyindustrystatisticscanbeusedvalid.例3:Sthmayberepresentedby例4:.areind
14、ependentandrandomlydistributed总结:Additionalassumptionsaremadetosimplifyanalysisforindividualsections.Theseassumptionswi11bediscussedattheappropriatelocations.公式由假设得到公式1.WeassumelaminarflowanduseBernoullisequation:(由假设得到的公式)公式Where符号说明ACCOrdingtotheassumptions,ateveryjunctionwehave(由于假设)公式由缘由得到公式2.Be
15、causeourfieldisflat,wehave公式,sotheheightofoursourcerelativetooursprinklersdoesnotaffecttheexitspeedv2(由缘由得到的公式):公式Sincethefluidisincompressible(由于液体是不行压缩的),wehave公式Where公式用原来的公式推出公式3.Pluggingvlintotheequationforv2,weobtain(将公式1代入公式2中得到)公式11.Puttingthesetogether(把公式放在一起),becauseofthelawofconservation
16、ofenergy,yields:公式12.Therefore,from(2),(3),(5),wehavetheithjunction(由前几个公式得)公式Putting(1)-(5)together,wecanobtainpupateveryjunction.infact,atthelastjunction,wehave公式Puttingtheseinto(1),weget(把这些公式代入1中)公式WhichmeansthattheCommon1y,hisaboutFromtheseequations,(从这个公式中我们知道)weknowthat引出约束条件4.UsingpressureanddischargedatafromRainBird结果,Wefindtheattenuationfactor(得到衰减因子,常数,系数)tobe公式计算结果