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It requires I t o be a constant for …to be truealgorithm演算方法——a general algorithm 通用算法simplify the algorithm 简化算法we have produced a general algrrithm to solve this tpye of problems.derivative微分，倒数antiderivative 不定积分optimal results 最优结果invesgate the problem from different point of view调查问题——investgation调查survey 调查subproblem 子问题，次要问题——major problem 主要问题metric 度量标准，指标digit 数字delete some digitselement /component 元素解题思路seek/explore——explore different ideas探索不同的想法we seek to device a new model for solving the problem by exploring the new direction suggested by their investigations.解决方案design/device ——develop/establish/conductBased on our analysis, we design a model for the problem using integral linear programming(线性积分). We then devise a polynominal-time apprximation algorithm toproduce near optimal ing integral linear programming.We then device a polynominal-time approximation toWe conduct sensitivity analysis on…to find…xxx analysis is al so performed.解决结果tackle/solveWe tackle the problem using the new technique we developed in the previous section.While it is difficult to solve the problem completely, we are able to solve a major subproblem.计划与打算approach/proposeWe approach the problem using the proposed method.We propose a new approach to tackling the problem.词组Based on…以……为基础According to根据Devide …into…——subdivide into细分…is applied to…使用了……模型来……——we apply our model into将我们的模型运用于Model proves to be efficient in other sports.模型被证明在其他方面有效….,which indicates that………反映了…,which led to the change of…导致了……的变化We…..only to find that..我们……只是发现了……… doesn’t matter ……是无关的Take…as example/as a case study 举例formulate and justify the assumptions 阐述并证明假说design/establish a model设计模型devise an algorithm 设计一个运算法/计算程序carry out numerical simulations 进行数学模拟for our problem a relationship exists that(… 我们的问题中存在一个关系式，使……we will assume/suppose that…我们假设……compare with different approaches 与不同的措施相比较There are at least two notions of where the sweet spot should be—an impact location on the bat that either· minimizesthe discomfort to the hands, or· maximizes the outgoing velocity Of the ball.We focus exclusively on the second definition我们专注于第二种定义We interpret the error of +2 as a normal distribution,.一with standard deviation of 1。

To illustrate the upon two points,we choose the following two norms.为了说明上述两个观点，我们选择了下面两种标准What follows in the chapter will hammer at…本章节接下来会集中………system works by………系统通过……工作类比手法as for…..,similarly there are…对比a ….while b…连缀词fir st,…second,…,after that…,at last…Summary1Restatement of the problem（introduction）Problem background,previous study,our work2Assumptions（symbols,definitions and assumptions）3Justification of Our Approach4The Model4．1 Dissatisfaction of a passenger needing a connection4．2 Dissatisfaction of a passenger not needing a connection4．3 Total dissatisfaction on an aircraft5Testing the Model6Results7Strengths and MeaknessesReferences标题：how to please most of the people most of the timelocating a drug runner:miami vice stylecentroids,clusters,and crime:anchor ing the geographic profile s of serial criminals(固定轮廓loading two railroad carstaking the mystery out of sudoku difficulty:an oracular model计算The total wins a could be calculated as follows:a = (3.1)-Where denotes wins for the ℎ year. The total loses b could be calculated as follows: Let r denotes …,then it can be calculated as follows:Sym bols for ………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。

In the last few years，the 9-by-9 puzzle grid known as Sudoku has gone from being a popular Japanese puzzle to a global craze.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。

We study the sweet spot on a baseball bat. We begin by establishing a model of a bat hitting a ball by analyzing a video of a professional ing this model, we determine that hitting a ball with a bat can be seen as an imperfect collision of two balls,where the bat is replaced by a hitting ball.In order to….,we…To evaluate the accuracy of the two models,…is defined.It is supposed to…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previous research：There are some models which can solve such problem.One is..,another is……provides a comprehensive and rational framework for…我们的工作our workIn section 1,we…,section 2 proviedes/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's movement is unconstrained.Because of the difficulty of finding real-world distance data, we invoke the 'Manhattan assumption’:There are enough streets and sidewalks in a sufficiently grid-like patternthat movements along real-world movement routes is the same as 'straight-line’movement in a space discretized into city blocksWe have produced a general algorithm to solve this type of problem, but for our problem a relationship exists that greatly simplified the algorithm.We will make the following simplifying assumptions.——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the authors/one of the authors使用they表示泛指的第三人称a student should be careful not to lose their books.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the model produced a disirable conclusion4写简单句。