哈尔滨工程大学：《数学建模》课程教学资源（MCM写作模版）摘要

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:“ Hand move” irrigation, a cheap but intensive system used on small farms, consists of a movable pipe with sprinkler on top that can be atta ched to a stationary main 例2∷… is a real-life common phenomenon with many complexities B]3: An(effective plan)is crucial to b.直接指出问题 B] 1: We find the optimal number of tollbooths in a highway toll-plaza for a given number of highway lanes: the number of tollbooths that minimizes average delay experienced by cars B] 2: A brand-new university needs to balance the cost of information technology security measures with the potential cost of attacks on its systems. B] 3: We determine the number of sprinklers to use by analvzing the energy and motion of water in the pipe and examining the engineering parameters of sprinklers available in the market would like to present our conclusions, strategies, (and recommendations to the. group 例4: After mathematically analyzing the…… problem, our modeling B 5: Our goal is.. that(minimizes the time 2.解决这个问题的伟大意义 反面说明。如果没有 Without implementing defensive measure, the university is exposed to an expected loss of $8.9 million per year. 3.总的解决概述 a.通过什么方法解决什么问题 Bi]: We address the problem of optimizing amusement park enjoyment through distributing Quick Passes(QP), reservation slips that ideally allow an individual to spend less time waiting in line b.实际问题转化为数学模型 B 1 We formulate the problem as a network flow in which vertices are the locations of escorts and wheelchair passengers. B 2: A naive strategy would he to employ the minimum number of escorts to guarantee that all passengers reach their gates on time c将问题分阶段考虑 B 3: We divide the jump into three phases: flying through the air, punching through the stack, and landing on the ground 第二、三段:具体分析 在什么模型中/建立了什么模型

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：“Hand move” irrigation, a cheap but labor-intensive system used on small farms, consists of a movable pipe with sprinkler on top that can be attached to a stationary main. 例 2:……is a real-life common phenomenon with many complexities. 例 3：An (effective plan) is crucial to……… b. 直接指出问题： 例 1：We find the optimal number of tollbooths in a highway toll-plaza for a given number of highway lanes: the number of tollbooths that minimizes average delay experienced by cars. 例 2：A brand-new university needs to balance the cost of information technology security measures with the potential cost of attacks on its systems. 例 3：We determine the number of sprinklers to use by analyzing the energy and motion of water in the pipe and examining the engineering parameters of sprinklers available in the market. 例 4: After mathematically analyzing the …… problem, our modeling group would like to present our conclusions, strategies, (and recommendations )to the ……. 例 5：Our goal is... that (minimizes the time )………. 2． 解决这个问题的伟大意义 反面说明。如果没有…… Without implementing defensive measure, the university is exposed to an expected loss of $8.9 million per year. 3． 总的解决概述 a．通过什么方法解决什么问题 例：We address the problem of optimizing amusement park enjoyment through distributing Quick Passes (QP), reservation slips that ideally allow an individual to spend less time waiting in line. b．实际问题转化为数学模型 例 1 We formulate the problem as a network flow in which vertices are the locations of escorts and wheelchair passengers. 例 2 : A naïve strategy would be to employ the minimum number of escorts to guarantee that all passengers reach their gates on time. c.将问题分阶段考虑 例 3：We divide the jump into three phases: flying through the air, punching through the stack, and landing on the ground. 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 B 1: We formulate a differential model to account for the rates of change of these uses,and how this change would affect the overall consumption of water within the reg 例2: We examined the mathematical effects of……. We developed a detailed.. .(simulation methodology) to test our ideas and to quantify the differences between(among) different.".(strategies) B 3: Based on(write your basis. such as the theory of supply and demand ) we establish a model(such as differential equation system that includes demand, supply) 1 4: To(write the aims), we establish a criterion ( write the criterion) b.模型非主流 F 5: We build a model to determine how to lay out the pipe each time the equipment is moved 例6: We determine 97: We build a model to determine 68: We formulate a model for By analyzing.. and examining 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 G1: Using historical data from the United States, we determine initial conditions for our model b.写计算机模拟 B 1: this model leads to a computer simulation of catch-can tests of the irrigation B 2: Software packing reaches.... by calculating and comparing C.运用数据模拟 F 1: to ground this model in reality, we incorporate extensive demographic data and run B 2: We fit the modified model to data(such as 1970-2003. ) We conclude that(write the last conclude) d.讲详细分析 F 1: We physically characterize the system that. B 2: We provide a strategy(write the logical strategy) f 3: The... model is(efficient, intuitive, and flexible) and could be applied to B] 4: To meet the needs of people today without, we establish a criterion of rationa(合理的标准) oil allocation(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 B]: We show that this strategy is not optimal but can be improved by assigning different numbers b.说明如果用这个模型,结果如何 B 1: If Delta Airlines were to utilize the naive strategy at Atlanta International Airport, the cost would be 62: We modify the model to reflect(some trend such as exponentially increasing ...)

a. 主流模型 例 1：We formulate a differential model to account for the rates of change of these uses, and how this change would affect the overall consumption of water within the studied region. 例 2:We examined the mathematical effects of … … . We developed a detailed …… (simulation methodology) to test our ideas and to quantify the differences between (among) different …… (strategies). 例 3：Based on (write your basis .such as the theory of supply and demand), we establish a model (such as differential equation system that includes demand, supply). 例 4：To (write the aims), we establish a criterion (write the criterion). b. 模型非主流 例 5：We build a model to determine how to lay out the pipe each time the equipment is moved. 例 6：We determine ………… 例 7：We build a model to determine………. 例 8：We formulate a model for………By analyzing …and examining….. 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 例 1：Using historical data from the United States, we determine initial conditions for our model. b. 写计算机模拟 例 1：this model leads to a computer simulation of catch-can tests of the irrigation system and …… 例 2:Software packing reaches………by calculating and comparing……….. c. 运用数据模拟 例 1：to ground this model in reality, we incorporate extensive demographic data and run…… 例 2：We fit the modified model to data (such as 1970-2003.). We conclude that (write the last conclude). d. 讲详细分析 例 1：We physically characterize the system that… 例 2：We provide a strategy (write the logicalstrategy). 例 3：The …model is (efficient, intuitive, and flexible) and could be applied to… 例 4：To meet the needs of people today without, we establish a criterion of rational(合理的标准) oil allocation(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：We show that this strategy is not optimal but can be improved by assigning different numbers…… b. 说明如果用这个模型，结果如何 例 1：If Delta Airlines were to utilize the naïve strategy at Atlanta International Airport, the cost would be …… 例 2：We modify the model to reflect (some trend such as exponentially increasing……)

and generalize the model to(other field) B]3: Our results are summarized in the formula for the optimal number Bof tollbooths for C.通过其上情况的列举得到的结论 5]: For various situations, we propose an optimal solution d.得出了结论 11: we elicit that a conclusion 1 2: We conclude with a series of recommendations for how best to e.进一步说明其他因素对模型的影响 f]: In addition to the model we also discuss policies for f用真实数据检验模型 F]: To demonstrate how our model works, we apply it to 最后一段:写总的结论 a.说明结论的可行性 Fi]: Our suggested solution, which is easy to implement, includes a detailed timetable and the arrangement of pipes b.说明算法的广泛性 F 1: Our algorithm is broad enough to accommodate various airport concourses flight schedules, and flight delays. BJ 2: Our analysis began by determining what factor impact., Our conclusion re presented… C说明模型可用于其他领域 6: Since our model is based on.. it can be applied to(other domain) 其他(承上启下的连接词/常用词组) B ]: In addition to the model, we also discuss 引言部分 (1)回顾研究背景,常用词汇有 revew, 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)介绍论文的重点内容或研究范围,常用词汇有 study, present, include, focus emphasize, emphasis, attention 方法部分 (1)介绍研究或试验过程,常用词汇有 test study, investigate, examine, experiment discuss, consider, analyze, analysis (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 结果部分 (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 讨论部分 (1)陈述论文的论点和作者的观点,常用词汇有 suggest, repot, present, expect, describe等

and generalize the model to (other field). 例 3：Our results are summarized in the formula for the optimal number Bof tollbooths for c．通过其上情况的列举得到的结论 例：For various situations, we propose an optimal solution. d. 得出了结论 例 1：we elicit that a conclusion. 例 2：We conclude with a series of recommendations for how best to… e.进一步说明其他因素对模型的影响 例：In addition to the model, we also discuss policies for ….. f.用真实数据检验模型 例:To demonstrate how our model works, we apply it to ……….. 最后一段：写总的结论 a. 说明结论的可行性 例：Our suggested solution, which is easy to implement, includes a detailed timetable and the arrangement of pipes. b.说明算法的广泛性 例 1：Our algorithm is broad enough to accommodate various airport concourses, flight schedules, and flight delays. 例 2：Our analysis began by determining what factor impact……, Our conclusions are presented…… c.说明模型可用于其他领域 例：Since our model is based on…… it can be applied to (other domain). 其他（承上启下的连接词/常用词组） 例:In addition to the model, we also discuss…… 引言部分 （1）回顾研究背景，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）介绍论文的重点内容或研究范围，常用词汇有 study, present, include, focus, emphasize, emphasis, attention 等 方法部分 （1）介绍研究或试验过程，常用词汇有 test study, 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 结果部分 （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 讨论部分 （1）陈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, recommend, recommendation propose, necessity, necessary, expect等。 摘要中常用的词语汇 critical至关重要的 algorithm运算法则 a method of evaluating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 y精确性 strengths and weaknesses优点和缺点 contact相关的 contract建立,构造 lculate计算 establish建立 formula公式 改进 合理的 countermeasure对策 criterion标准,准则

（ 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, recommend, recommendation, propose, necessity, necessary, expect 等。 摘要中常用的词语汇： critical 至关重要的 algorithm 运算法则 a method of evaluating 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 精确性 strengths and weaknesses 优点和缺点 contact 相关的 contract 建立，构造 calculate 计算 establish 建立 formula 公式 modify 改进 rational 合理的 countermeasure 对策 criterion 标准，准则