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exclusively专门undobtedly毫无疑问的notable值得注意的tremedous/significant极大的notion概念definition定义——defineInterpret……as……理解……为invoke(+模型援引，引用equation方程式，等式function因变量——提示符号的含义matrix矩阵，模型constant常数，常量ItrequiresItobeaconstantfor…tobetruealgorithm演算方法——ageneralalgorithm通用算法simplifythealgorithm简化算法wehaveproducedageneralalgrrithmtosolvethistpyeofproblems.derivative微分，倒数antiderivative不定积分optimalresults最优结果invesgatetheproblemfromdifferentpointofview调查问题——investgation调查survey调查subproblem子问题，次要问题——majorproblem主要问题metric度量标准，指标digit数字deletesomedigitselement/component元素解题思路seek/explore——exploredifferentideas探索不同的想法weseektodeviceanewmodelforsolvingtheproblembyexploringthenewdirectionsuggestedbytheirinvestigations.解决方案design/device——develop/establish/conductBasedonouranalysis,wedesignamodelfortheproblemusingintegrallinearprogramming(线性积分).Wethendeviseapolynominal-timeapprximationalgorithmtoproducenearoptimalresults.usingintegrallinearprogramming.Wethendeviceapolynominal-timeapproximationtoWeconductsensitivityanalysison…tofind…xxxanalysisisalsoperformed.解决结果tackle/solveWetackletheproblemusingthenewtechniquewedevelopedintheprevioussection.Whileitisdifficulttosolvetheproblemcompletely,weareabletosolveamajorsubproblem.计划与打算approach/proposeWeapproachtheproblemusingtheproposedmethod.Weproposeanewapproachtotacklingtheproblem.词组Basedon…以……为基础Accordingto根据Devide…into…——subdivideinto细分…isappliedto…使用了……模型来……——weapplyourmodelinto将我们的模型运用于Modelprovestobeefficientinothersports.模型被证明在其他方面有效….,whichindicatesthat………反映了…,whichledtothechangeof…导致了……的变化We…..onlytofindthat..我们……只是发现了………doesn’tmatter……是无关的Take…asexample/asacasestudy举例formulateandjustifytheassumptions阐述并证明假说design/establishamodel设计模型deviseanalgorithm设计一个运算法/计算程序carryoutnumericalsimulations进行数学模拟forourproblemarelationshipexiststhat(…我们的问题中存在一个关系式，使……wewillassume/supposethat…我们假设……comparewithdifferentapproaches与不同的措施相比较Thereareatleasttwonotionsofwherethesweetspotshouldbe—animpactlocationonthebatthateither·minimizesthediscomforttothehands,or·maximizestheoutgoingvelocityOftheball.Wefocusexclusivelyontheseconddefinition我们专注于第二种定义Weinterprettheerrorof+2asanormaldistribution,.一withstandarddeviationof1。Toillustratetheupontwopoints,wechoosethefollowingtwonorms.为了说明上述两个观点，我们选择了下面两种标准Whatfollowsinthechapterwillhammerat…本章节接下来会集中………systemworksby………系统通过……工作类比手法asfor…..,similarlythereare…对比a….whileb…连缀词first,…second,…,afterthat…,atlast…Summary1Restatementoftheproblem（introduction）Problembackground,previousstudy,ourwork2Assumptions（symbols,definitionsandassumptions）3JustificationofOurApproach4TheModel4．1Dissatisfactionofapassengerneedingaconnection4．2Dissatisfactionofapassengernotneedingaconnection4．3Totaldissatisfactiononanaircraft5TestingtheModel6Results7StrengthsandMeaknessesReferences标题：howtopleasemostofthepeoplemostofthetimelocatingadrugrunner:miamivicestylecentroids,clusters,andcrime:anchoringthegeographicprofilesofserialcriminals(固定轮廓loadingtworailroadcarstakingthemysteryoutofsudokudifficulty:anoracularmodel计算Thetotalwinsacouldbecalculatedasfollows:a=𝑎𝑎𝑖𝑖(3.1)-Where𝑎𝑎𝑖𝑖denoteswinsforthe𝑖𝑖𝑡𝑡ℎyear.Thetotallosesbcouldbecalculatedasfollows:Letrdenotes…,thenitcanbecalculatedasfollows:Symbolsfor………的符号（后接表格）symbol——definitionsummary·赛题重述与阐明：用自己的语言描述将要解决的问题。·解释假设条件及其合理性：强调建模所用的假设，而且清楚地列出建模所需的所有变量。·模型设计及合理性论证：指出所用模型的类型或构造新的模型。·描述模型的测试情况及灵敏度分析：包括误差分析等检测项目。·优缺点讨论：包括模型及解题方法的优点与不足。长度稍超过半页即可。Inthelastfewyears，the9-by-9puzzlegridknownasSudokuhasgonefrombeingapopularJapanesepuzzletoaglobalcraze.用吸引人的语言激发读者兴趣不包含太多的细节简明扼要地将解题方法描述清楚，包括全部要点及主要思路，并阐明所得出的结论。如果有数值运算，还应该给出重要的计算结果最好不要在摘要中使用数学公式。Westudythesweetspotonabaseballbat.Webeginbyestablishingamodelofabathittingaballbyanalyzingavideoofaprofessionalhitter.Usingthismodel,wedeterminethathittingaballwithabatcanbeseenasanimperfectcollisionoftwoballs,wherethebatisreplacedbyahittingball.Inorderto….,we…Toevaluatetheaccuracyofthetwomodels,…isdefined.Itissupposedto…为了评价两个模型的准确性Introduction——1重述赛题2明确解题目标（可以用列表形式）3澄清原题中的模糊概念4对现有文献在相似问题的研究进行综述和评论5简要描述参赛小组的解题方法和主要结果已有调查previousresearch：Therearesomemodelswhichcansolvesuchproblem.Oneis..,anotheris……providesacomprehensiveandrationalframeworkfor…我们的工作ourworkInsection1,we…,section2proviedes/shows…主体body描述模型设计（列出和论证建立模型所用的假设，对赛题的分析）1将模型设计所用的假设条件一一列出并解释清楚Criminal'smovementisunconstrained.Becauseofthedifficultyoffindingreal-worlddistancedata,weinvokethe'Manhattanassumption’:Thereareenoughstreetsandsidewalksinasufficientlygrid-likepatternthatmovementsalongreal-worldmovementroutesisthesameas'straight-line’movementinaspacediscretizedintocityblocksWehaveproducedageneralalgorithmtosolvethistypeofproblem,butforourproblemarelationshipexiststhatgreatlysimplifiedthealgorithm.Wewillmakethefollowingsimplifyingassumptions.——简化条件要在模型缺陷中讨论结尾conclusion描述模型测试方法以及所得到的结果结论在结尾的开始就写出来对结论进行适当的讨论，指出哪些是作者观点哪些是结果模型中用到的参数值的变化对模型及结论产生的影响再次指出论文缺陷假如有充足时间和计算资源，能够解决的问题Attention：1使用we做人称，需要指明作者用theauthors/oneoftheauthors使用they表示泛指的第三人称astudentshouldbecarefulnottolosetheirbooks.2使用简单时态（一般现在时，一般过去时，一般将来时）定理和事实用一般过去式3使用主动语态themodelproducedadisirableconclusio