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1、exclusively專門 undobtedly毫無疑問的notable 值得注意的tremedous/significant極大的notion概念 definition定義 defineInterpretas 理解為invoke(+模型 援引,引用 equation方程式,等式function 因變量提示符號的含義matrix矩陣,模型constant 常數(shù),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 簡化算法 we h
2、ave produced a general algrrithm to solve this tpye of problems.derivative微分,倒數(shù) antiderivative 不定積分optimal results 最優(yōu)結(jié)果invesgate the problem from different point of view調(diào)查問題investgation調(diào)查survey 調(diào)查subproblem 子問題,次要問題major problem 主要問題metric 度量標(biāo)準(zhǔn),指標(biāo)digit 數(shù)字 delete some digitselement /component 元素解題思路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.解決方案design/device develop/establish/conductBased on our analysis, we design a model for the problem using integral linear programming(線性積分)
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.解決結(jié)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.計劃與打算 approach/proposeWe approach the problem using the proposed method.We propose a new approach to tackling the problem.詞組Based on以為基礎(chǔ)According to根據(jù)Devide i
6、ntosubdivide into細(xì)分is applied to使用了模型來we apply our model into將我們的模型運(yùn)用于Model proves to be efficient in other sports.模型被證明在其他方面有效.,which indicates that反映了,which led to the change of導(dǎo)致了的變化We.only to find that.我們只是發(fā)現(xiàn)了 doesnt matter 是無關(guān)的Takeas example/as a case study 舉例formulate and justify the assumptio
7、ns 闡述并證明假說design/establish a model設(shè)計模型devise an algorithm 設(shè)計一個運(yùn)算法/計算程序carry out numerical simulations 進(jìn)行數(shù)學(xué)模擬for our problem a relationship exists that( 我們的問題中存在一個關(guān)系式,使we will assume/suppose that我們假設(shè)compare with different approaches 與不同的措施相比較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我們專注于第二種定義We interpret the error of +2 as a normal distribution,.一with standard deviation of 1。To illustrate th
9、e upon two points,we choose the following two norms.為了說明上述兩個觀點,我們選擇了下面兩種標(biāo)準(zhǔn)What follows in the chapter will hammer at本章節(jié)接下來會集中system works by系統(tǒng)通過工作類比手法 as for.,similarly there are對比 a .while b連綴詞 first,second,after that,at lastSummary1Restatement of the problem(introduction) Problem background,previo
10、us study,our 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 M
11、eaknessesReferences標(biāo)題: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(固定輪廓loading two railroad carstaking the mystery out of sudoku difficulty:an oracular model計算The total wins
12、 a could be calculated as follows: a= 𝑎𝑎𝑖𝑖 (3.1)-Where 𝑎𝑎𝑖𝑖 denotes wins for the 𝑖𝑖𝑡𝑡 year. The total loses b could be calculated as follows:Let r denotes ,then it can be calculated as follows:Symbols for
13、 的符號(后接表格) symboldefinitionsummary·賽題重述與闡明:用自己的語言描述將要解決的問題。·解釋假設(shè)條件及其合理性:強(qiáng)調(diào)建模所用的假設(shè),而且清楚地列出建模所需的所有變量。·模型設(shè)計及合理性論證:指出所用模型的類型或構(gòu)造新的模型。·描述模型的測試情況及靈敏度分析:包括誤差分析等檢測項目。·優(yōu)缺點討論:包括模型及解題方法的優(yōu)點與不足。長度稍超過半頁即可。In the last few years,the 9-by-9 puzzle grid known as Sudoku has gone from being a po
14、pular Japanese puzzle to a global craze.用吸引人的語言激發(fā)讀者興趣不包含太多的細(xì)節(jié)簡明扼要地將解題方法描述清楚,包括全部要點及主要思路,并闡明所得出的結(jié)論。如果有數(shù)值運(yùn)算,還應(yīng)該給出重要的計算結(jié)果最好不要在摘要中使用數(shù)學(xué)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 hitter.Using this model, we
15、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 evaluate the accuracy of the two models,is defined.It is supposed to為了評價兩個模型的準(zhǔn)確性Introduction1重述賽題2明確解題目標(biāo)(可以用列表形式)3澄清原題中的模糊概念4對現(xiàn)有文獻(xiàn)在相似問題的研究進(jìn)行綜述和評論5
16、簡要描述參賽小組的解題方法和主要結(jié)果已有調(diào)查previous research:There are some models which can solve such problem.One is.,another isprovides a comprehensive and rational framework for我們的工作our workIn section 1,we,section 2 proviedes/shows主體body描述模型設(shè)計(列出和論證建立模型所用的假設(shè),對賽題的分析)1將模型設(shè)計所用的假設(shè)條件一一列出并解釋清楚Criminal's movement is un
17、constrained.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-linemovement in a space discretize
18、d 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.簡化條件要在模型缺陷中討論結(jié)尾conclusion描述模型測試方法以及所得到的結(jié)果結(jié)論在結(jié)尾的開始就寫出來對結(jié)論進(jìn)行適當(dāng)?shù)挠懻?,指出哪些是作者觀點哪些是結(jié)果模型中用到
19、的參數(shù)值的變化對模型及結(jié)論產(chǎn)生的影響再次指出論文缺陷假如有充足時間和計算資源,能夠解決的問題Attention:1使用we做人稱,需要指明作者用the authors/one of the authors使用they表示泛指的第三人稱 a student should be careful not to lose their books.2使用簡單時態(tài)(一般現(xiàn)在時,一般過去時,一般將來時)定理和事實用一般過去式3使用主動語態(tài) the model produced a disirable conclusion4寫簡單句。一句話表達(dá)一個意思,謂語緊跟主語,不要包含副詞。5寫簡短的段落(停頓)6使用
20、具體的詞匯7減少瑣碎的細(xì)節(jié)8突出重點 重要的論點用黑體字寫在段落之首 新概念也用黑體 assumption可以直接用列表9刪掉多余詞匯 名詞換成動詞 find the solutionsolve10使用并列短語強(qiáng)調(diào)聯(lián)系 if a is a root of the function x, then b is a root of the function y.11避免單調(diào)重復(fù) 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 a
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