美赛数学建模写作模版各部分Word格式.docx
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Aftermathematicallyanalyzingthe……problem,ourmodelinggroupwouldliketopresentourconclusions,strategies,（andremendations）tothe…….
例5：
Ourgoalis...that（minimizesthetime）……….
2．解决这个问题的伟大意义
反面说明。
如果没有……
Withoutimplementingdefensivemeasure,theuniversityisexposedtoanexpectedlossof$8.9millionperyear.
3．总的解决概述
a．通过什么方法解决什么问题
例：
WeaddresstheproblemofoptimizingamusementparkenjoymentthroughdistributingQuickPasses（QP）,reservationslipsthatideallyallowanindividualtospendlesstimewaitinginline.
b．实际问题转化为数学模型
例1Weformulatetheproblemasanetworkflowinwhichverticesarethelocationsofescortsandwheelchairpassengers.
例2:
Anaï
vestrategywouldbetoemploytheminimumnumberofescortstoguaranteethatallpassengersreachtheirgatesontime.
c.将问题分阶段考虑
例3：
Wedividethejumpintothreephases:
flyingthroughtheair,punchingthroughthestack,andlandingontheground.
第二、三段：
具体分析
1．在什么模型中/建立了什么模型
a.主流模型
Weformulateadifferentialmodeltoaccountfortheratesofchangeoftheseuses,andhowthischangewouldaffecttheoverallconsumptionofwaterwithinthestudiedregion.
Weexaminedthemathematicaleffectsof…….Wedevelopedadetailed……（simulationmethodology）totestourideasandtoquantifythedifferencesbetween（among）different……（strategies）.
Basedon（writeyourbasis.suchasthetheoryofsupplyanddemand）,weestablishamodel（suchasdifferentialequationsystemthatincludesdemand,supply）.
例4：
To（writetheaims）,weestablishacriterion（writethecriterion）.
b.模型非主流
Webuildamodeltodeterminehowtolayoutthepipeeachtimetheequipmentismoved.
例6：
Wedetermine…………
例7：
Webuildamodeltodetermine……….
例8：
Weformulateamodelfor………Byanalyzing…andexamining…..
2．分析模型〔使用什么数据，怎么做，一般三句话〕
a.写历史数据
UsinghistoricaldatafromtheUnitedStates,wedetermineinitialconditionsforourmodel.
b.写计算机模拟
thismodelleadstoaputersimulationofcatch-cantestsoftheirrigationsystemand……
Softwarepackingreaches………bycalculatingandparing………..
c.运用数据模拟
togroundthismodelinreality,weincorporateextensivedemographicdataandrun……
Wefitthemodifiedmodeltodata（suchas1970-2003.）.Weconcludethat（writethelastconclude）.
d.讲详细分析
Wephysicallycharacterizethesystemthat…
Weprovideastrategy（writethelogicalstrategy）.
The…modelis（efficient,intuitive,andflexible）andcouldbeappliedto…
Tomeettheneedsofpeopletodaywithout,weestablishacriterionofrational（合理的标准）oilallocation（分配）.
3．总结该模型的结果/得到什么结论
a.说明不是最优但能产生作用
例：
Weshowthatthisstrategyisnotoptimalbutcanbeimprovedbyassigningdifferentnumbers……
b.说明如果用这个模型，结果如何
IfDeltaAirlinesweretoutilizethenaï
vestrategyatAtlantaInternationalAirport,thecostwouldbe……
Wemodifythemodeltoreflect（sometrendsuchasexponentiallyincreasing……）andgeneralizethemodelto（otherfield）.
OurresultsaresummarizedintheformulafortheoptimalnumberBoftollboothsfor
c．通过其上情况的列举得到的结论
Forvarioussituations,weproposeanoptimalsolution.
d.得出了结论
weelicitthataconclusion.
Weconcludewithaseriesofremendationsforhowbestto…
e.进一步说明其他因素对模型的影响
Inadditiontothemodel,wealsodiscusspoliciesfor…..
f.用真实数据检验模型
例:
Todemonstratehowourmodelworks,weapplyitto………..
最后一段：
写总的结论
a.说明结论的可行性
Oursuggestedsolution,whichiseasytoimplement,includesadetailedtimetableandthearrangementofpipes.
b.说明算法的广泛性
Ouralgorithmisbroadenoughtoacmodatevariousairportconcourses,flightschedules,andflightdelays.
Ouranalysisbeganbydeterminingwhatfactorimpact……,Ourconclusionsarepresented……
c.说明模型可用于其他领域
Sinceourmodelisbasedon……itcanbeappliedto（otherdomain）.
其他〔承上启下的连接词/常用词组〕
Inadditiontothemodel,wealsodiscuss……
引言局部
〔1〕回忆研究背景，常用词汇有review,summarize,present,outline,describe等
〔2〕说明写作目的，常用词汇有purpose,attempt,aim等，另外还可以用动词不定式充当目的状语来表达
〔3〕介绍论文的重点容或研究围，常用词汇有study,present,include,focus,emphasize,emphasis,attention等
方法局部
〔1〕介绍研究或试验过程，常用词汇有teststudy,investigate,examine,experiment,discuss,consider,analyze,analysis等
〔2〕说明研究或试验方法，常用词汇有measure,estimate,calculate等
〔3〕介绍应用、用途，常用词汇有等
结果局部
〔1〕展示研究结果，常用词汇有show,result,present等
〔2〕介绍结论，常用词汇有summary,introduce,conclude等
讨论局部
〔1〕述论文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,find,demonstrate,confirm,clarify
〔3〕推荐和建议，常用词汇有suggest,suggestion,remend,remendation,propose,necessity,necessary,expect等。
摘要中常用的词语汇：
critical至关重要的
algorithm运算法那么
amethodofevaluating评价方法
appropriate近似的
consider考虑
configurations布局
optimal统一的
maximize使…最大化
strategy策略
parameter参数，主要的决定因素
accuracy准确性
strengthsandweaknesses优点和缺点
contact相关的
contract建立，构造
calculate计算
establish建立
formula公式
modify改良
rational合理的
countermeasure对策
criterion标准，准那么
Assumptions
引出：
Wemakethefollowingassumptionsabout……processinthispaper.
a.不考虑因素
Wedonottakeintoaccountinteractionsbetweenfactors.
Theinfluenceof…canbeneglected
…is“ideal〞in…,…canbeneglected.
b.为了简化模型，之后反驳不正确，但是合理。
Infact〔inreality〕factorseffecteachothers,butinordertosimplifythemodel,weignoretheinteractionsbetweenfactors.
Infactinrealityfactorseffecteachothers,butinordertosimplifythemodel,weignoretheinteractionsbetweenfactors.
c.近似
……canbeapproximatedasalinerfunctionof….
…areassumedtobethesame.Inpractice,thereisaslightdifference.
d.细致考虑〔可附原因〕
Anairportconsistsof1to10concourses,eachofwithconsistsof2to50gates.Gatesinthesameconcoursearegenerallylocatedclosetooneanother,whilethetraveltimebetweenconcoursescanbequitelengthy.Hence,weassumethatinter-concoursetravelismuchlengthierthanintra-concoursetravel.
Aaveragefastwalkingspeedis250ft/min（3mph）,butaveragespeedwhenarmsareimmobilized（aswhenpushingawheelchair）isonly180ft/min（2mph）[GrossandShi2001].Weassumethatanescortwalksatthesespeeds.
Anescortcanoperateonlyonewheelchairatatime.U.S.Dept.oftransportationguidelinesdiscouragesleavingWPsunattended.Hence,theescorttakesaWPtotheconnectingflightandremainsuntiltheflightleaves.
e.直接定义（假设）：
Tomeasurethe……,wedefine……
Yearlyindustrystatisticscanbeusedvalid.
Sthmayberepresentedby
….areindependentandrandomlydistributed
总结：
Additionalassumptionsaremadetosimplifyanalysisforindividualsections.Theseassumptionswillbediscussedattheappropriatelocations.
公式
由假设得到公式
1．WeassumelaminarflowanduseBernoulli’sequation:
〔由假设得到的公式〕
Where
符号解释
Accordingtotheassumptions,ateveryjunctionwehave〔由于假设〕
由原因得到公式
2．Becauseourfieldisflat,wehave公式,sotheheightofoursourcerelativetooursprinklersdoesnotaffecttheexitspeedv2〔由原因得到的公式〕；
Sincethefluidisinpressible（由于液体是不可压缩的）,wehave
Where
用原来的公式推出公式
3．Pluggingv1intotheequationforv2,weobtain〔将公式1代入公式2中得到〕
11．Puttingthesetogether（把公式放在一起）,becauseofthelawofconservationofenergy,yields：
12．Therefore,from
（2）,（3）,（5）,wehavetheithjunction〔由前几个公式得〕
Putting
（1）-（5）together,wecanobtainpupateveryjunction.infact,atthelastjunction,wehave
Puttingtheseinto
（1）,weget〔把这些公式代入1中〕
Whichmeansthatthe
monly,hisabout
Fromtheseequations,〔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
计算结果
6．Tofindthenewpressure,weusethe（00）,whichstatesthatthevolumeofwaterflowinginequalsthevolumeofwaterflowingout:
〔为了找到新值，我们用什么方程〕
（）is;
;
7．SolvingforVNweobtain（公式的解）
Wherenisthe…..
8．Wehavethefollowingdifferentialequationsforspeedsinthex-andy-directions:
Whosesolutionsare〔解〕
9．Weusethefollowinginitialconditions（使用初值）todeterminethedragconstant:
根据原有公式
10．Weapplythelawofconservationofenergy〔根据能量守恒定律〕.Theworkdonebytheforcesis
Thedecreaseinpotentialenergyis〔势能的减少〕
Theincreaseinkineticenergyis（动能的增加）
Drugactsdirectlyagainstvelocity,sotheaccelerationvectorfromdragcanbefoundNewton’slawF=maas:
（牛顿第二定律）
Whereaistheaccelerationvectorandmismass
UsingtheNewton’sSecondLaw,wehavethatF/m=aand
Sothat
Settingthetwoexpressionsfort1/t2equalandcross-multiplyinggives
22．Weapproximatethebinomialdistributionofcontenderswithanormaldistribution:
Wherexisthecumulativedistributionfunctionofthestandardnormaldistribution.ClearingdenominatorsandsolvingtheresultingquadraticinBgives
Asananalyticapproximationto.fork=1,wegetB=c
26．Integrating,〔使结合〕wegetPVT=constant,
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