mcm論文格式
MCM即大學(xué)生數(shù)學(xué)建模競賽,是目前全國高校中規(guī)模最大的大學(xué)生課外科技活動。
優(yōu)秀論文之MCM寫作技巧格式
摘要:
第一段:寫論文解決什么問題
1. 問題的重述
a. 介紹重點詞開頭:
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. 直接指出問題:
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, ourmodeling group would like to present our conclusions, strategies, (and recommendations )to the …….
例5:Our goal is... that (minimizes the time )……….
2. 解決這個問題的偉大意義
反面說明。如果沒有……
Without implementing defensive measure, the university is exposed to an expected loss of $8.9 million per year.
3. 總的解決概述
a.通過什么方法解決什么問題
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.實際問題轉(zhuǎn)化為數(shù)學(xué)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.將問題分階段考慮
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:具體分析
1.在什么模型中/ 建立了什么模型
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(使用什么數(shù)據(jù),怎么做,一般三句話)
a. 寫歷史數(shù)據(jù)
例1:Using historical data from the United States, we determine initial conditions for our model.
b. 寫計算機模擬
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. 運用數(shù)據(jù)模擬
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. 講詳細(xì)分析
例1:We physically characterize the system that…
例2:We provide a strategy (write the logical strategy).
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(合理的標(biāo)準(zhǔn)) oil allocation(分配).
3.總結(jié)該模型的結(jié)果/得到什么結(jié)論
a. 說明不是最優(yōu)但能產(chǎn)生作用
例:We show that this strategy is not optimal but can be improved by assigning different numbers……
b. 說明如果用這個模型,結(jié)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……) andgeneralize the model to (other field).
例3:Our results are summarized in the formula for the optimal number Bof tollbooths for
c.通過其上情況的列舉得到的結(jié)論
例:For various situations, we propose an optimal solution.
d. 得出了結(jié)論
例1:we elicit that a conclusion.
例2:We conclude with a series of recommendations for how best to…
e.進(jìn)一步說明其他因素對模型的影響
例:In addition to the model, we also discuss policies for …..
f.用真實數(shù)據(jù)檢驗?zāi)P?/p>
例:To demonstrate how our model works, we apply it to ………..
最后一段:寫總的結(jié)論
a. 說明結(jié)論的可行性
例:Our suggested solution, which is easy to implement, includes a detailed timetable and the arrangement of pipes.
b.說明算法的.廣泛性
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.說明模型可用于其他領(lǐng)域
例:Since our model is based on…… it can be applied to (other domain).
其他(承上啟下的連接詞/常用詞組)
例:In addition to the model, we also discuss……
引言部分
(1)回顧研究背景,常用詞匯有review, summarize, present, outline, describe等
(2)說明寫作目的,常用詞匯有purpose, attempt, aim等,另外還可以用動詞不定式充當(dāng)目的狀語來表達(dá)
(3)介紹論文的重點內(nèi)容或研究范圍,常用詞匯有study, present, include, focus, emphasize, emphasis, attention等
方法部分
(1)介紹研究或試驗過程,常用詞匯有test study, investigate, examine, experiment, discuss, consider, analyze, analysis等
(2)說明研究或試驗方法,常用詞匯有measure, estimate, calculate等
(3)介紹應(yīng)用、用途,常用詞匯有等
結(jié)果部分
(1)展示研究結(jié)果,常用詞匯有show, result, present等
(2)介紹結(jié)論,常用詞匯有summary, introduce, conclude等
討論部分
(1)陳述論文的論點和作者的觀點,常用詞匯有suggest, repot, present, expect, describe等
(2)說明論證,常用詞匯有等support, provide, indicate, identify, find, demonstrate, confirm, clarify
(3)推薦和建議,常用詞匯有suggest, suggestion, recommend, recommendation, propose,necessity, necessary, expect等。
摘要中常用的詞語匯:
critical 至關(guān)重要的
algorithm 運算法則
a method of evaluating 評價方法
appropriate 近似的
consider 考慮
configurations 布局
optimal 統(tǒng)一的
maximize 使…最大化
strategy 策略
parameter 參數(shù),主要的決定因素
accuracy 精確性
strengths and weaknesses 優(yōu)點和缺點
contact 相關(guān)的
contract 建立,構(gòu)造
calculate 計算
establish 建立
formula 公式
modify 改進(jìn)
rational 合理的
countermeasure 對策
criterion 標(biāo)準(zhǔn),準(zhǔn)則
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