1、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 defineInterpretas 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 to 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 h
2、ave 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s
3、eek/exploreexplore 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)
4、. We then devise a polynominal-time apprximation algorithm to produce near optimal results.using integral linear programming.We then device a polynominal-time approximation to We conduct sensitivity analysis onto findxxx analysis is also performed.解决结果tackle/solveWe tackle the problem using the new
5、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 i
6、ntosubdivide 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 doesnt matter 是无关的Takeas example/as a case study 举例formulate and justify the assumptio
7、ns 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 shou
8、ld bean 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 p
9、oints,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 first,second,after that,at lastSummary1Restatement of the problem（introduction） Problem background,previous study,our
10、 work2Assumptions（symbols,definitions and assumptions）3Justification of Our Approach4The Model 41 Dissatisfaction of a passenger needing a connection42 Dissatisfaction of a passenger not needing a connection43 Total dissatisfaction on an aircraft5Testing the Model6Results7Strengths and MeaknessesRef
11、erences标题：how to please most of the people most of the time locating a drug runner:miami vice stylecentroids,clusters,and crime:anchoring the geographic profiles 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
12、calculated as follows: a= (3.1)-Where denotes wins for the year. The total loses b could be calculated as follows:Let r denotes ,then it can be calculated as follows:Symbols for 的符号（后接表格） symboldefinitionsummary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
13、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 s
14、pot on a baseball bat. We begin by establishing a model of a bat hitting a ball by analyzing a video of a professional hitter.Using 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.,weTo
15、 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Introduction1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 isprovides a comprehensive and rational framew
16、ork 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Criminals 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 suff
17、iciently grid-like patternthat movements along real-world movement routes is the same as straight-linemovement 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
18、 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 book
19、s.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。一句话表达一个意思，谓语紧跟主语，不要包含副词。5写简短的段落（停顿）6使用具体的词汇7减少琐碎的细节8突出重点 重要的论点用黑体字写在段落之首 新概念也用黑体 assumption可以直接用列表9删掉多余词汇 名词换成动词 find the solutionsolve10使用并列短语强调联系 if a is a root of the function x, then b is a root of the
20、function y.11避免单调重复 first we solved an equation, the solution of the first equation allowed us to solve the second equation.We know equation a has a solution, which implies equation b has a solution.thus, equation c also has a solution.(有关联句的时候还是要用复杂句的12不使用同一词汇描述不同的对象We ran into several obstales whe
21、n trying to solve the problem.13使it指代的名词显而易见14不直接渲染，不使用感叹号15单数可数名词前一定要加冠词 唯一the 泛指a在表示某一类物体的名词前不加冠词16不用firstly,已经过时了，可以改用begin by17标题的重要的词要大写18文字叙述字体 times new roman 小节与下节标题与正文不同19不在标题中使用数字符号20 数字变量符号字母使用斜体 21矩阵符号用黑斜体大写，矩阵元素用黑斜体小写22句中出现的同一符号读法一致，都是 is equal to 23 不用符号取代文字，since, we know24数字用文字书写，除了 the rod is 5 feet long.是计量单位的一部分25避免不必要的上下标，使用x，y ax+by，顺序尽量一致26删除只用过一次的上下标27给图标编号并使用简要的文字说明。表明变量，标题行，图例。28不要把数字符号用作句子的开头29两个相邻的数字表达式用文字隔开 中间加上we have30 if与then匹配31新术语在第一次定义的时候使用黑体32不要为表达式添加冒号或者其他标点符号。表达式可以同行也可以单行，看重要性。大段式子用单行。尽量用加号，减号断行。一系列等式要在等号处对齐！包括连等式。Following,below,as follows,用冒号33省略号：
