数学建模美国赛论文常用句式总结22100字-第1篇.docx

    数学建模美国赛论文常用句式总结22100字    The expression of ... can be expanded as: ......的表达式可扩展为...A is exponentially smaller than B,so it can be neglected.A对B来说呈指数级减小，所以可以忽略不计Equation (1) is reduced to:方程（1）化简为：Substitute the values into equation (3), we get ...把这些值代入方程3，我们得到...According to our first assumption on Page 1,根据我们第一页的第一个假设，Thus we arrive at the conclusion：因此我们得到结论：From the model of ... ,we find that theoretically, it is almost true that ... 由...模型，我们从理论上证明了... 是真实可信的That is the theoretical basis for ... in many application areas.这是...在很多领域应用的理论基础。

To quantitatively analyze the different requirements of the two applications, we introduce two measures:为了定量的分析这两种应用的不同要求，我们介绍来两个量度标准 We give the criterion that ...我们给出了...的判别标准According to the criterion of...根据...的标准So its expression can be derived from equation (3) with small change.所以它的表达式可以由方程3做微小改动而推出Suppose that ...refers to ...假设...指的是...We can get the distribution of...我们可以得到...的分布along x and y axes沿着x和y轴For a further discussion of this model, please see Appendix A. 参见附录A (detailed in Appendix I)（详见附录一）... is fitted to the normal distribution，with the mean at 0 and variance of σ=1.342. ...符合均值为0，方差为1.342的正态分布。

conform to符合Fig.4 shows ...图4表明...Thus, if ... is given, ...is determined.因此，如果给定...，...就也确定了For a given r, we can calculate ...对于给定的r, 我们可以算出...The two distributions are independent.这两个分布是相互独立的By calculation we obtain...通过计算，我们得到...So it is expressed as below:所以它可以表示为：... is ultimately determined by ...... 最终由...决定We fix A and examine the change of B with respect to C.我们固定A然后观测B随C的变化the logarithm values of ......的对数值That explains why the value of A decreases as B increases.这就解释了为什么A的值随B的增加而减少If r increases, p(r) increases accordingly.如果r增长，p(r)也相应地增长。

due to由于A is the length of ... in unit of ...A是...的长度，以...为单位We can see a "valley" between two curved faces which denoted the points where A=B.我们可以看到在两个曲面之间有一个低谷，表示A=B的那些点A and B always change in opposite direction.A和B总是呈相反变化So when seeking the minimum of..., we should consider how to balance A and B. 所以当寻求...的最小值时，我们应该考虑如何平衡A和BSo we set the optimal function as:所以我们列出最优方程如下：However, putting equal weight on A and B is not always desirable.然而，给A和B相同的权数并不总是令人满意的In some situations, we must favor one over the other.在一些情况下，我们必须偏重一方。

input the initialization输入初值The program solves the optimal function and output a,b,c and d.程序求最优解,并输出a,b,c和d的值.In consideration of考虑到...We apply this strategy to four typical situations and list the results here. 我们将这种方案应用于四种典型情况，并列出结果如下the probability of occurrence发生的概率Theoretically, recognization can always be successful.理论上说，识别应该总是成功的the expectation value of ......的期望值We let a=b我们令a=bnumerical results 数值解We write a program (Appendix II) in VC ++ to obtain the result.我们用vc++写了一个程序来求解As shown in Tab. 4,如表4所示,The above results show that (+句子) ,which means (或者用that is ), (+句子) 以上结果说明...,也就是说...So we arrive at (或者用come to)the conclusion that (+句子)因此,我们得到结论...Moreover, from the aspect of ...,而且，从...方面来看,On the contrary ,正相反，sensitivity analsis灵敏性分析robustness稳健性alter m by 5%将m改变5%They are very close.这两个值非常接近。

This is consistent with the phenomenon shown in the Fig.4.这和图4所示是一致的inversely related负相关in terms of ...根据...；在...方面equality等式We can rewrite the first inequality as follows： 我们可以改写第一个不等式如下：We develop a model to design....我们建立了一个模型用来设计...The model is based on conservation of energy. 这个模型的建立基于能量守恒We further classify ... into three components: ... 我们进一步将...分成三部分：...To validate our model为了验证我们的模型Due to the lack of accurate data for ...由于缺少...方面的准确数据Our primary aim is to ...我们的主要目标是......and ... are regarded as one system....和...被看成是一个系统。

notation符号遗传算法(Genetic Algorithms,GA)并行遗传算法Paralleling Genetic Algorithm,PGA 数据结构Data Structures自然选择natural selection种群population个体individual基因库gene pool编码coding解码decoding量纲dimensions随机过程random processesflow chart 流程图constraint condition 约束条件maximize customer enjoyment最大化顾客的愉悦Having ensured this, we should minimize ... 在确保这个之后，我们要将...最小化be far from optimal in practice在实践中远不是最优implement 贯彻实行The underlying idea is fairly simple.下面的想法很简单the appeal of these systems to amusement parks is two-fold: 这些系统对游乐园的吸引力有两个方面：address these issues 致力于这些问题Hence, ... has come into question. 因此,...开始成为问题。

Apart from consideration of ... , from the ...'s point of view, ....除去考虑...，从...的角度考虑，...integrate 积分Markov chain model 马尔科夫链模型We validated our model using tests for rigor in both robustness and sensitivity.通过对稳健性和灵敏性的测试，我们验证了我们模型We find that in robustness test cases that our model makes predictions that correlate well with empirical evidence.在稳健性测试中我们发现，我们的模型预测值能够很好的与经验值相适应 improve efficiency by 36% on average 效率平均提高了36%contend with 对付 dispo。