数学建模优缺点英文

合集下载

数学模型部分词汇翻译

数学模型部分词汇翻译

数学模型:[英文]:mathematical model[解释]:对于现实世界的某一特定对象,为了某个特定的目的,通过一些必要的假设和简化后所作的数学描述。

利用模型,通过数学的分析处理,能够对原型的现实性态给出深层次的解释,或预测原型未来的状况或提供处理原型的控制或优化的决策。

它是数学理论和方法用以解决现实世界实际问题的一个重要途径。

例如牛顿第二定律所描述的力和运动的关系 F = ma = md 2 s / dt 2 给出了受外力 F 作用的物体运动的距离 s ( t )与 F 的关系。

它是一个数学上的二阶微分方程,假设物体为一个质点,不存在阻力,摩擦力等的前提下描述了物体的运动与所受外力的依赖关系。

这就是动力学一个最基本的数学模型。

利用它就可以从理论上探讨大量的动力学的现象。

当代由于数学向各门学科的全面渗透,数学不仅仅是物理学的研究工具,它已成为各门学科的一个重要的研究手段,建立数学模型最重要的步骤是首先要把研究对象通过化简,归结出它的数学结构,以便于使用数学理论和方法。

由于数学模型在科学发展中的重要性,它和数学建模已经逐渐从各门学科中独立出来,成为应用数学的一个重要的方向而进入学校的教学计划。

与数学的演绎推理不同,数学模型是运用数学的语言和工具,对现实世界的信息通过假设、化简加以翻译归纳的产物,因此随着研究目的、简化方式的不同,同一个原型的数学模型可以有不同的表现方式,它可以是确定型的,也可以是随机的;可以是连续型的,也可以是离散的。

因此对于同一个原型,可以使用不同的数学分支,通过相应的模型进行研究。

当然通过数学抽象出来的模型较之原型有更宽的覆盖面,甚至于能够描述不同学科有关对象的变化关系。

由于现实世界的复杂性,科学技术发展到今天,还不能给出普遍适用的建立数学模型的准则和技巧。

在一些使用模型较多的研究领域内,已经开始形成了自己的数学模型及建模体系,例如种群生态学中的数学模型,经济学中的数学模型,天气预报的数学模型,当然也包括理论力学——作为物理中运动和力学的数学模型。

数学建模体会(英语)

数学建模体会(英语)

ModulusListen to seniors speak freshman Mathematical Contest in Modeling , for they have an admiration , heard a teacher said, "A lot of things that only you participate in mathematical modeling contest , you will realize that ," I have a mathematical modeling contest longing to experience what these three days and nights of competition , the desire to improve themselves through mathematical modeling . Unexpected is that we won the second prize group . While our hearts are full of surprises and full of gratitude . We thank the teachers and students for the guidance and encouragement ; thanks to school leaders, teachers give us the material and spiritual help and support.All along, we all think we are a group of very ordinary . Through the efforts of each of us , when we have a good race with , in order to achieve such results . In my modeling learning process following main points .The first freshman to participate in mathematical modeling training, learning-related content , " Mathematical Modeling" on the books , and more with the instructor , experienced seniors exchanges, summarize some of the common model, some basic understanding of mathematical modeling . Training twice a week , although the beginning will not understand , but each insisted listen , afterschool own conclusion, let us understand the mathematical modeling in our lives and have a preliminary understanding .Second, our team , I am grateful to every member of our team , a very good team spirit . Our team is a professional mechanical engineering consisting of three students , each with its own good place. We were at the beginning of the division of labor . Select a main person in charge is necessary : the person in charge is the core of the team , as a group leader, we must learn to other teammates, and with a certain organization, coordination and strong decision-making ability . Three teams of students must be properly organized by the head of the corresponding tasks assigned based on each team 's strengths, to make a clear division of labor , because my main training trials in writing, on paper I am responsible for my teammates haveto MATLAB compared with keen interest , responsible for programming. Another teammate interested in math so he is responsible for comparing the mathematical model.Third, during the training the summer , so we have a better understanding of mathematical modeling , the teacher gave us each thematic explain, and give me the appropriate topic modeling conducted combat training , according to the topic we discussed ways to build the model and programming, and in the form of paper to the teacher for review. After school and have used the methods, models , algorithms, sorting procedures do technical support for the game , which saves a lot of competition for the later game time . Also in the end of the training , team leader for the three of us were assigned to their respective mandates , only to learn the summer training is not enough , then go back and continue to learn , after the students responsible for the programming back to learn about programming languages responsible for the students to write papers on the case study for fine , look excellent paper writing skills and textual ideas. Students continue to be responsible for the model algorithm analysis to understand the model analyzed and summarized . We strive to integrate our team , so our team in peacetime combat training with very understanding . Between teammates, our mutual support and encouragement. Because a person's thinking is not comprehensive , we have to discuss it possible to figure out the problem , so whether to make any plate, three people got to be united only by one person the power to write within three days a high-level post is almost impossible . Leader in our disagreements can come up with an idea decisively , when someone in the team confidence has been shaken , the head of restructuring the whole team confidence . So the role of team spirit is important .Fourth, in the three-day competition, although the game is over for a long time , every recall , but the feeling is still as vivid as yesterday just occurred. Before the game, we often encourage their own , and spirits to meet this competition , confident , and we think the game result is not important, as long as we have a good team that can play out their own strength , on it. The game just started to get difficultquestions we think , although I think what is new, will not start , but we never gave up . Through information search, search for relevant literature learning , slowly read the title and know the subject , and further organize your thoughts , control summary data to create relevant model, solving . I remember one of my teachers said, sneaked into the night wind , moisten things silently learning the true portrayal. The accumulation of knowledge is a slow process , as people grow older, you never feel yourself taller , but in fact you grow taller every day . Such knowledge is also quietly income in our bag. Do you think he is still nothing, absolutely hazy state , may wish to consider using some small problems yourself, you will find that he really has mastered a lot. As long as you have learned to play out , you'll do well.Here are some personal experience we participated in mathematical modeling contest , hoping to be helpful in the future contestants :First, the topic, be sure to choose their own favorite subject, and there are some selected topics aspect of our solution is good .Second, after the election is over the title for the range of topics to choose their own model not large and generalities , be specific and can solve practical problems , based on past experience , model building, to digest, and gradually improve , ideas must be clarity .Third , the game mentality and progress during the race must not hurry, be sure to slowly , according to the head of the division of labor , methodical complete their task , the middle should constantly encourage his players not to be affected by other groups affected, and when either team and discuss their ideas, and reasonable arrangements for the time , for the third day be able to build up the model and preliminary analysis , the paper is the basic shape .Fourth, the abstract of the paper, which is the most important papers . Although only one page , but its role can not be ignored , it is completely embodies all your work. Content is mainly explained what model you use to solve the problem, what are the main results , what are the characteristics and innovations . Structured and focused. Strive to work and creative achievements papers or new findings are adequately reflected. Let expert judges after reading the summary paper cangenerally understand your thinking , what kind of work you have done , what goals accomplished .Finally, to say that, although the game is hard, however, is happy to benefit greatly , let us learn a lot of things you can not normally learn . In this process , the instructor has been with us , very hard, again, to give us guidance and all the teachers care about mathematical modeling process leading express my heartfelt thanks !。

数学建模论文英文写作

数学建模论文英文写作

第一段
• 2. 解决这个问题的伟大意义
• 反面说明。如果没有…… 例:Without implementing defensive measure, the university is exposed to an expected loss of $8.9 million per year.
• 3. 总的解决概述
第二、三段
• 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).

数模美国赛总结部分英文

数模美国赛总结部分英文

数模美国赛总结部分英文第一篇:数模美国赛总结部分英文Conclusions1、As our team set out to come up with a strategy on what would be the most efficient way to 我们提出了一种最有效的方法去解决……2、The first aspect that we took into major consideration was…….Other important findings through research made it apparent that the standard 首先我们考虑到……,其他重要的是我们通过研究使4、We have used mathematical modeling in a……to analyze some of the factors associated with such an activity。

为了分析这类问题的一些因素,我们运用数学模型……5、This “cannon problem” has been used in many forms in many differential equations courses in the Department of Mathematical Sciences for several years.这些年这些问题已经以不同的微分方程形式运用于自然科学部门。

6、In conclusion our team is very certain that the methods we came up with in 总之,我们很确定我们提出的方法7、We already know how well our results worked for…… 我们已经知道我们结果对……8、Now that the problem areas have been defined, we offer some ways to reduce the effect of these problems.既然已经定义了结果,我们提出一些方法减少对问题的影响。

美国数学建模竞赛翻译名词英汉表..

美国数学建模竞赛翻译名词英汉表..

中文英文中文英文函数function 逆时针方向counterclockwise定义域domain of definition 轴axis值域range of function 象限quadrant极限limit 变量variable极限值limit value 常量constant quantity 发散diverge 坐标轴axis of coordinates 收敛converge 横坐标abscissa连续性continuity 纵坐标ordinate连续函数continuous function 锐角acute angle钝角obtuse angle左连续continuity from theleft开集open set 平角straight angle闭集closed set 直角right angle闭区间closed interval 圆circle区间interval 半径radius直径diameter一元函数function of onevariable三角形triangle多元函数function of severalvariables内点inner point 斜率slope孤立点isolated point 无穷小infinitesimal邻域neighborhood 无穷大infinite导数derivative 正positive偏导数partial derivative 负negative微分differential calculus 凸convex全微分total differential 凹concave偏微分partial differential 椭圆ellipse积分integral 双曲线hyperbola曲线curve微积分infinitesimalcalculus重积分multiple integrals 曲面surface二重积分double integral 交intersection三重积分threefold integral 补集complement中值定理law of the mean 投影project极值extreme values 等差级数arithmeticalprogression定积分definite integral 几何级数geometricprogression不定积分indefinite integral 公理axioms曲线积分curvilinear integral 定义definition曲面积分surface integral 定理theorem级数progression 集合set数列sequence 元素element微分方程differentialequations空集empty常微分方程partial differentialequation子集subset偏微分方程partial differentialequation相等equal差分方程difference equation 常数constant特征方程characteristicequation对数logarithm间断点discontinuity point 指数exponential渐近线asymptote 曲率curvature切线tangent line 曲率圆circle of curvature 切线方程tangential equation 曲率半径radius of curvature 法线normal line 切平面tangent plane螺旋线helices 法平面normal plane拐点point of inflexion 幂级数power series绝对收敛absolutelyconvergence收敛半径convergence radius条件收敛conditionalconvergence 收敛区间convergenceinterval和函数sum function 收敛区域convergence region 解solution 通解general solution 初始条件initial condition 特解special solution 条件极值conditional extremum 阶orderabbreviation 简写符号;简写abscissa 横坐标absolute complement 绝对补集absolute error 绝对误差absolute inequality 绝不等式absolute maximum 绝对极大值absolute minimum 绝对极小值absolute monotonic 绝对单调absolute value 绝对值accelerate 加速acceleration 加速度acceleration due to gravity 重力加速度; 地心加速度accumulation 累积accumulative 累积的accuracy 准确度act on 施于action 作用; 作用力acute angle 锐角acute-angled triangle 锐角三角形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability) (概率)加法定律additive inverse 加法逆元; 加法反元additive property 可加性adjacent angle 邻角adjacent side 邻边adjoint matrix 伴随矩阵algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式;代数分数式algebraic inequality 代数不等式algebraic number 代数数algebraic operation 代数运算algebraically closed 代数封闭algorithm 算法系统; 规则系统alternate angle (交)错角alternate segment 内错弓形alternating series 交错级数alternative hypothesis 择一假设; 备择假设; 另一假设altitude 高;高度;顶垂线;高线ambiguous case 两义情况;二义情况amount 本利和;总数analysis 分析;解析analytic geometry 解析几何angle 角angle at the centre 圆心角angle at the circumference 圆周角angle between a line and a plane 直与平面的交角angle between two planes 两平面的交角angle bisection 角平分angle bisector 角平分线;分角线angle in the alternate segment 交错弓形的圆周角angle in the same segment 同弓形内的圆周角angle of depression 俯角angle of elevation 仰角angle of friction 静摩擦角; 极限角angle of greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角;交角angle of projection 投射角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角angular displacement 角移位angular momentum 角动量angular motion 角运动angular velocity 角速度annum(X% per annum) 年(年利率X%)anti-clockwise direction 逆时针方向;返时针方向anti-clockwise moment 逆时针力矩anti-derivative 反导数; 反微商anti-logarithm 逆对数;反对数anti-symmetric 反对称apex 顶点approach 接近;趋近approximate value 近似值approximation 近似;略计;逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积Argand diagram 阿根图, 阿氏图argument (1)论证; (2)辐角argument of a complex number 复数的辐角argument of a function 函数的自变量arithmetic 算术arithmetic mean 算术平均;等差中顶;算术中顶arithmetic progression 算术级数;等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边array 数组; 数组arrow 前号ascending order 递升序ascending powers of X X 的升幂assertion 断语; 断定associative law 结合律assumed mean 假定平均数assumption 假定;假设asymmetrical 非对称asymptote 渐近asymptotic error constant 渐近误差常数at rest 静止augmented matrix 增广矩阵auxiliary angle 辅助角auxiliary circle 辅助圆auxiliary equation 辅助方程average 平均;平均数;平均值average speed 平均速率axiom 公理axiom of existence 存在公理axiom of extension 延伸公理axiom of inclusion 包含公理axiom of pairing 配对公理axiom of power 幂集公理axiom of specification 分类公理axiomatic theory of probability 概率公理论axis 轴axis of parabola 拋物线的轴axis of revolution 旋转轴axis of rotation 旋转轴axis of symmetry 对称轴back substitution 回代bar chart 棒形图;条线图;条形图;线条图base (1)底;(2)基;基数base angle 底角base area 底面base line 底线base number 底数;基数base of logarithm 对数的底basis 基Bayes´ theorem 贝叶斯定理bearing 方位(角);角方向(角)bell-shaped curve 钟形图belong to 属于Bernoulli distribution 伯努利分布Bernoulli trials 伯努利试验bias 偏差;偏倚biconditional 双修件式; 双修件句bijection 对射; 双射; 单满射bijective function 对射函数; 只射函数billion 十亿bimodal distribution 双峰分布binary number 二进数binary operation 二元运算binary scale 二进法binary system 二进制binomial 二项式binomial distribution 二项分布binomial expression 二项式binomial series 二项级数binomial theorem 二项式定理bisect 平分;等分bisection method 分半法;分半方法bisector 等分线;平分线Boolean algebra 布尔代数boundary condition 边界条件boundary line 界(线);边界bounded 有界的bounded above 有上界的;上有界的bounded below 有下界的;下有界的bounded function 有界函数bounded sequence 有界序列brace 大括号bracket 括号breadth 阔度broken line graph 折线图calculation 计算calculator 计算器;计算器calculus (1) 微积分学; (2) 演算cancel 消法;相消canellation law 消去律canonical 典型; 标准capacity 容量cardioid 心脏Cartesian coordinates 笛卡儿坐标Cartesian equation 笛卡儿方程Cartesian plane 笛卡儿平面Cartesian product 笛卡儿积category 类型;范畴catenary 悬链Cauchy sequence 柯西序列Cauchy´s principal value 柯西主值Cauchy-Schwarz inequality 柯西 - 许瓦尔兹不等式central limit theorem 中心极限定理central line 中线central tendency 集中趋centre 中心;心centre of a circle 圆心centre of gravity 重心centre of mass 质量中心centrifugal force 离心力centripedal acceleration 向心加速度centripedal force force 向心力centroid 形心;距心certain event 必然事件chain rule 链式法则chance 机会change of axes 坐标轴的变换change of base 基的变换change of coordinates 坐标轴的变换change of subject 主项变换change of variable 换元;变量的换characteristic equation 特征(征)方程characteristic function 特征(征)函数characteristic of logarithm 对数的首数; 对数的定位部characteristic root 特征(征)根chart 图;图表check digit 检验数位checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形;圆的circular function 圆函数;三角函数circular measure 弧度法circular motion 圆周运动circular permutation 环形排列; 圆形排列; 循环排列circumcentre 外心;外接圆心circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆cissoid 蔓叶class 区;组;类class boundary 组界class interval 组区间;组距class limit 组限;区限class mark 组中点;区中点classical theory of probability 古典概率论classification 分类clnometer 测斜仪clockwise direction 顺时针方向clockwise moment 顺时针力矩closed convex region 闭凸区域closed interval 闭区间coaxial 共轴coaxial circles 共轴圆coaxial system 共轴系coded data 编码数据coding method 编码法co-domain 上域coefficient 系数coefficient of friction 摩擦系数coefficient of restitution 碰撞系数; 恢复系数coefficient of variation 变差系数cofactor 余因子; 余因式cofactor matrix 列矩阵coincide 迭合;重合collection of terms 并项collinear 共线collinear planes 共线面collision 碰撞column (1)列;纵行;(2) 柱column matrix 列矩阵column vector 列向量combination 组合common chord 公弦common denominator 同分母;公分母common difference 公差common divisor 公约数;公约common factor 公因子;公因子common logarithm 常用对数common multiple 公位数;公倍common ratio 公比common tangent 公切commutative law 交换律comparable 可比较的compass 罗盘compass bearing 罗盘方位角compasses 圆规compasses construction 圆规作图compatible 可相容的complement 余;补余complement law 补余律complementary angle 余角complementary equation 补充方程complementary event 互补事件complementary function 余函数complementary probability 互补概率complete oscillation 全振动completing the square 配方complex conjugate 复共轭complex number 复数complex unmber plane 复数平面complex root 复数根component 分量component of force 分力composite function 复合函数; 合成函数composite number 复合数;合成数composition of mappings 映射构合composition of relations 复合关系compound angle 复角compound angle formula 复角公式compound bar chart 综合棒形图compound discount 复折扣compound interest 复利;复利息compound probability 合成概率compound statement 复合命题; 复合叙述computation 计算computer 计算机;电子计算器concave 凹concave downward 凹向下的concave polygon 凹多边形concave upward 凹向上的concentric circles 同心圆concept 概念conclusion 结论concurrent 共点concyclic 共圆concyclic points 共圆点condition 条件conditional 条件句;条件式conditional identity 条件恒等式conditional inequality 条件不等式conditional probability 条件概率cone 锥;圆锥(体)confidence coefficient 置信系数confidence interval 置信区间confidence level 置信水平confidence limit 置信极限confocal section 共焦圆锥曲congruence (1)全等;(2)同余congruence class 同余类congruent 全等congruent figures 全等图形congruent triangles 全等三角形conic 二次曲圆锥曲conic section 二次曲圆锥曲conical pendulum 圆锥摆conjecture 猜想conjugate 共轭conjugate axis 共轭conjugate diameters 共轭轴conjugate hyperbola 共轭(直)径conjugate imaginary / complex number 共轭双曲conjugate radical 共轭虚/复数conjugate surd 共轭根式; 共轭不尽根conjunction 合取connective 连词connector box 捙接框consecutive integers 连续整数consecutive numbers 连续数;相邻数consequence 结论;推论consequent 条件;后项conservation of energy 能量守恒conservation of momentum 动量守恒conserved 守恒consistency condition 相容条件consistent 一贯的;相容的consistent estimator 相容估计量constant 常数constant acceleration 恒加速度constant force 恒力constant of integration 积分常数constant speed 恒速率constant term 常项constant velocity 怛速度constraint 约束;约束条件construct 作construction 作图construction of equation 方程的设立continued proportion 连比例continued ratio 连比continuity 连续性continuity correction 连续校正continuous 连续的continuous data 连续数据continuous function 连续函数continuous proportion 连续比例continuous random variable 连续随机变量contradiction 矛盾converge 收敛convergence 收敛性convergent 收敛的convergent iteration 收敛的迭代convergent sequence 收敛序列convergent series 收敛级数converse 逆(定理)converse of a relation 逆关系converse theorem 逆定理conversion 转换convex 凸convex polygon 凸多边形convexity 凸性coordinate 坐标coordinate geometry 解析几何;坐标几何coordinate system 坐标系系定理;系;推论coplanar 共面coplanar forces 共面力coplanar lines 共面co-prime 互质; 互素corollary 系定理; 系; 推论correct to 准确至;取值至correlation 相关correlation coefficient 相关系数correspondence 对应corresponding angles (1)同位角;(2)对应角corresponding element 对应边corresponding sides 对应边cosecant 余割cosine 余弦cosine formula 余弦公式cost price 成本cotangent 余切countable 可数countable set 可数集countably infinite 可数无限counter clockwise direction 逆时针方向;返时针方向counter example 反例counting 数数;计数couple 力偶Carmer´s rule 克莱玛法则criterion 准则critical point 临界点critical region 临界域cirtical value 临界值cross-multiplication 交叉相乘cross-section 横切面;横截面;截痕cube 正方体;立方;立方体cube root 立方根cubic 三次方;立方;三次(的)cubic equation 三次方程cubic roots of unity 单位的立方根cuboid 长方体;矩体cumulative 累积的cumulative distribution function 累积分布函数cumulative frequecy 累积频数;累积频率cumulative frequency curve 累积频数曲cumulative frequcncy distribution 累积频数分布cumulative frequency polygon 累积频数多边形;累积频率直方图curvature of a curve 曲线的曲率curve 曲线curve sketching 曲线描绘(法)curve tracing 曲线描迹(法)curved line 曲线curved surface 曲面curved surface area 曲面面积cyclic expression 输换式cyclic permutation 圆形排列cyclic quadrilateral 圆内接四边形cycloid 旋输线; 摆线cylinder 柱;圆柱体cylindrical 圆柱形的damped oscillation 阻尼振动data 数据De Moivre´s theorem 棣美弗定理De Morgan´s law 德摩根律decagon 十边形decay 衰变decay factor 衰变因子decelerate 减速decelaration 减速度decile 十分位数decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制decision box 判定框declarative sentence 说明语句declarative statement 说明命题decoding 译码decrease 递减decreasing function 递减函数;下降函数decreasing sequence 递减序列;下降序列decreasing series 递减级数;下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的;定的definite integral 定积分definition 定义degenerated conic section 降级锥曲线degree (1) 度; (2) 次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of confidence 置信度degree of freedom 自由度degree of ODE 常微分方程次数degree of precision 精确度delete 删除; 删去denary number 十进数denominator 分母dependence (1)相关; (2)应变dependent event(s) 相关事件; 相依事件; 从属事件dependent variable 应变量; 应变数depreciation 折旧derivable 可导derivative 导数derived curve 导函数曲线derived function 导函数derived statistics 推算统计资料; 派生统计资料descending order 递降序descending powers of x x的降序descriptive statistics 描述统计学detached coefficients 分离系数(法) determinant 行列式deviation 偏差; 变差deviation from the mean 离均差diagonal 对角线diagonal matrix 对角矩阵diagram 图; 图表diameter 直径diameter of a conic 二次曲线的直径difference 差difference equation 差分方程difference of sets 差集differentiable 可微differential 微分differential coefficient 微商; 微分系数differential equation 微分方程differential mean value theorem 微分中值定理differentiate 求...的导数differentiate from first principle 从基本原理求导数differentiation 微分法digit 数字dimension 量; 量网; 维(数)direct impact 直接碰撞direct image 直接像direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变(分)directed angle 有向角directed line 有向直线directed line segment 有向线段directed number 有向数direction 方向; 方位direction angle 方向角direction cosine 方向余弦direction number 方向数direction ratio 方向比directrix 准线Dirichlet function 狄利克来函数discontinuity 不连续性discontinuous 间断(的);连续(的); 不连续(的)discontinuous point 不连续点discount 折扣discrete 分立; 离散discrete data 离散数据; 间断数据discrete random variable 间断随机变数discrete uniform distribution 离散均匀分布discriminant 判别式disjoint 不相交的disjoint sets 不相交的集disjunction 析取dispersion 离差displacement 位移disprove 反证distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distributive law 分配律diverge 发散divergence 发散(性)divergent 发散的divergent iteration 发散性迭代divergent sequence 发散序列divergent series 发散级数divide 除dividend (1)被除数;(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数;除式;因子divisor of zero 零因子dodecagon 十二边形domain 定义域dot 点dot product 点积double angle 二倍角double angle formula 二倍角公式double root 二重根dual 对偶duality (1)对偶性; (2) 双重性due east/ south/ west /north 向东/ 南/ 西/ 北dynamics 动力学eccentric angle 离心角eccentric circles 离心圆eccentricity 离心率echelon form 梯阵式echelon matrix 梯矩阵edge 棱;边efficient estimator 有效估计量effort 施力eigenvalue 本征值eigenvector 本征向量elastic body 弹性体elastic collision 弹性碰撞elastic constant 弹性常数elastic force 弹力elasticity 弹性element 元素elementary event 基本事件elementary function 初等函数elementary row operation 基本行运算elimination 消法elimination method 消去法;消元法ellipse 椭圆ellipsiod 椭球体elliptic function 椭圆函数elongation 伸张;展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率;经验概率empty set 空集encoding 编码enclosure 界限end point 端点energy 能; 能量entire surd 整方根epicycloid 外摆线equal 相等equal ratios theorem 等比定理equal roots 等根equal sets 等集equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns (variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)equidistant 等距(的)equilateral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equilibrium 平衡equiprobable 等概率的equiprobable space 等概率空间equivalence 等价equivalence class 等价类equivalence relation 等价关系equivalent 等价(的)error 误差error allowance 误差宽容度error estimate 误差估计error term 误差项error tolerance 误差宽容度escribed circle 旁切圆estimate 估计;估计量estimator 估计量Euclidean algorithm 欧几里德算法Euclidean geometry 欧几里德几何Euler´s formula 尤拉公式;欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact differential form 恰当微分形式exact solution 准确解;精确解;真确解exact value 法确解;精确解;真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive disjunction 不包含性析取exclusive events 互斥事件exercise 练习exhaustive event(s) 彻底事件existential quantifier 存在量词expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值;预期值experiment 实验;试验experimental 试验的experimental probability 实验概率explicit function 显函数exponent 指数exponential function 指数函数exponential order 指数阶; 指数级express…in terms of…以………表达expression 式;数式extension 外延;延长;扩张;扩充extension of a function 函数的扩张exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点extreme value 极值extremum 极值face 面factor 因子;因式;商factor method 因式分解法factor theorem 因子定理;因式定理factorial 阶乘factorization 因子分解;因式分解factorization of polynomial 多项式因式分解fallacy 谬误FALSE 假(的)falsehood 假值family 族family of circles 圆族family of concentric circles 同心圆族family of straight lines 直线族feasible solution 可行解;容许解Fermat´s last theorem 费尔马最后定理Fibonacci number 斐波那契数;黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形);(2)数字final velocity 末速度finite 有限finite dimensional vector space 有限维向量空间finite population 有限总体finite probability space 有限概率空间finite sequence 有限序列finite series 有限级数finite set 有限集first approximation 首近似值first derivative 一阶导数first order differential equation 一阶微分方程first projection 第一投影; 第一射影first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点fixed point iteration method 定点迭代法fixed pulley 定滑轮flow chart 流程图focal axis 焦轴focal chord 焦弦focal length 焦距focus(foci) 焦点folium of Descartes 笛卡儿叶形线foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xforce 力forced oscillation 受迫振动form 形式;型formal proof 形式化的证明format 格式;规格formula(formulae) 公式four leaved rose curve 四瓣玫瑰线four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数;分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠free vector 自由向量; 自由矢量frequency 频数;频率frequency distribution 频数分布;频率分布frequency distribution table 频数分布表frequency polygon 频数多边形;频率多边形friction 摩擦; 摩擦力frictionless motion 无摩擦运动frustum 平截头体fulcrum 支点function 函数function of function 复合函数;迭函数functional notation 函数记号fundamental theorem of algebra 代数基本定理fundamental theorem of calculus 微积分基本定理gain 增益;赚;盈利gain perent 赚率;增益率;盈利百分率game (1)对策;(2)博奕Gaussian distribution 高斯分布Gaussian elimination 高斯消去法general form 一般式;通式general solution 通解;一般解general term 通项generating function 母函数; 生成函数generator (1)母线; (2)生成元geoborad 几何板geometric distribution 几何分布geometric mean 几何平均数;等比中项geometric progression 几何级数;等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何;几何学given 给定;已知global 全局; 整体global maximum 全局极大值; 整体极大值global minimum 全局极小值; 整体极小值golden section 黄金分割grade 等级gradient (1)斜率;倾斜率;(2)梯度grand total 总计graph 图像;图形;图表graph paper 图表纸graphical method 图解法graphical representation 图示;以图样表达graphical solution 图解gravitational acceleration 重力加速度gravity 重力greatest term 最大项greatest value 最大值grid lines 网网格线group 组;grouped data 分组数据;分类数据grouping terms 并项;集项growth 增长growth factor 增长因子half angle 半角half angle formula 半角公式half closed interval 半闭区间half open interval 半开区间harmonic mean (1) 调和平均数; (2) 调和中项harmonic progression 调和级数head 正面(钱币)height 高(度)helix 螺旋线hemisphere 半球体;半球heptagon 七边形Heron´s formula 希罗公式heterogeneous (1)参差的; (2)不纯一的hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子;最高公因式;最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图;直方图;矩形图Holder´s Inequality 赫耳德不等式homogeneous 齐次的homogeneous equation 齐次方程Hooke´s law 虎克定律horizontal 水平的;水平horizontal asymptote 水平渐近线horizontal component 水平分量horizontal line 横线;水平线horizontal range 水平射程hyperbola 双曲线hyperbolic function 双曲函数hypergeometric distribution 超几何分布hypocycloid 内摆线hypotenuse 斜边hypothesis 假设hypothesis testing 假设检验hypothetical syllogism 假设三段论hypotrochoid 次内摆线idempotent 全幂等的identical 全等;恒等identity 等(式)identity element 单位元identity law 同一律identity mapping 恒等映射identity matrix 恒等矩阵identity relation 恒等关系式if and only if/iff 当且仅当;若且仅若if…, then 若….则;如果…..则illustration 例证;说明image 像点;像image axis 虚轴imaginary circle 虚圆imaginary number 虚数imaginary part 虚部imaginary root 虚根imaginary unit 虚数单位impact 碰撞implication 蕴涵式;蕴含式implicit definition 隐定义implicit function 隐函数imply 蕴涵;蕴含impossible event 不可能事件improper fraction 假分数improper integral 广义积分; 非正常积分impulse 冲量impulsive force 冲力incentre 内力incircle 内切圆inclination 倾角;斜角inclined plane 斜面included angle 夹角included side 夹边inclusion mapping 包含映射inclusive 包含的;可兼的inclusive disjunction 包含性析取;可兼析取inconsistent 不相的(的);不一致(的) increase 递增;增加increasing function 递增函数increasing sequence 递增序列increasing series 递增级数increment 增量indefinite integral 不定积分idenfinite integration 不定积分法independence 独立;自变independent equations 独立方程independent event 独立事件independent variable 自变量;独立变量indeterminate (1)不定的;(2)不定元;未定元indeterminate coefficient 不定系数;未定系数indeterminate form 待定型;不定型index,indices 指数;指index notation 指数记数法induced operation 诱导运算induction hypothesis 归纳法假设inelastic collision 非弹性碰撞inequality 不等式;不等inequality sign 不等号inertia 惯性;惯量infer 推断inference 推论infinite 无限;无穷infinite dimensional 无限维infinite population 无限总体infinite sequence 无限序列;无穷序列infinite series 无限级数;无穷级数infinitely many 无穷多infinitesimal 无限小;无穷小infinity 无限(大);无穷(大)inflection (inflexion) point 拐点;转折点inherent error 固有误差initial approximation 初始近似值initial condition 原始条件;初值条件initial point 始点;起点initial side 始边initial value 初值;始值initial velocity 初速度initial-value problem 初值问题injection 内射injective function 内射函数inner product 内积input 输入input box 输入inscribed circle 内切圆insertion 插入insertion of brackets 加括号instantaneous 瞬时的instantaneous acceleration 瞬时加速度instantaneous speed 瞬时速率instantaneous velocity 瞬时速度integer 整数integrable 可积integrable function 可积函数integral 积分integral index 整数指数integral mean value theorem 积数指数integral part 整数部份integral solution 整数解integral value 整数值integrand 被积函数integrate 积;积分;......的积分integrating factor 积分因子integration 积分法integration by parts 分部积分法integration by substitution 代换积分法;换元积分法integration constant 积分常数interaction 相互作用intercept 截距;截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内角interior angles on the same side of the transversal 同旁内角interior opposite angle 内对角intermediate value theorem 介值定理internal bisector 内分角internal division 内分割internal energy 内能internal force 内力internal point of division 内分点interpolating polynomial 插值多项式interpolation 插值inter-quartile range 四分位数间距intersect 相交intersection (1)交集;(2)相交;(3)交点interval 区间interval estimation 区间估计;区域估计intuition 直观invalid 失效;无效invariance 不变性invariant (1)不变的;(2)不变量;不变式inverse 反的;逆的inverse circular function 反三角函数inverse cosine function 反余弦函数inverse function 反函数;逆函数inverse cosine function 反三角函数inverse function 反函数;逆映射inverse mapping 反向映射;逆映射inverse matrix 逆矩阵inverse problem 逆算问题inverse proportion 反比例;逆比例inverse relation 逆关系inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分);逆变(分)invertible 可逆的invertible matrix 可逆矩阵irrational equation 无理方程irrational number 无理数irreducibility 不可约性irregular 不规则isomorphism 同构isosceles triangle 等腰三角形iterate (1)迭代值; (2)迭代iteration 迭代iteration form 迭代形iterative function 迭代函数iterative method 迭代法jet propulsion 喷气推进joint variation 联变(分);连变(分)kinetic energy 动能kinetic friction 动摩擦known 己知L.H.S. 末项L´Hospital´s rule 洛必达法则Lagrange interpolating polynomial 拉格朗日插值多项代Lagrange theorem 拉格朗日定理Lami´s law 拉密定律Laplace expansion 拉普拉斯展式last term 末项latent root 本征根; 首通径lattice point 格点latus rectum 正焦弦; 首通径law 律;定律law of conservation of momentum 动量守恒定律law of indices 指数律;指数定律law of inference 推论律law of trichotomy 三分律leading coefficient 首项系数leading diagonal 主对角线least common multiple, lowest common multiple (L.C.M) 最小公倍数;最低公倍式least value 最小值left hand limit 左方极限lemma 引理lemniscate 双纽线length 长(度)letter 文字;字母like surd 同类根式like terms 同类项limacon 蜗牛线limit 极限limit of sequence 序列的极限limiting case 极限情况limiting friction 最大静摩擦limiting position 极限位置line 线;行line of action 作用力线line of best-fit 最佳拟合line of greatest slope 最大斜率的直;最大斜率line of intersection 交线line segment 线段linear 线性;一次linear convergence 线性收敛性linear differeantial equation 线性微分方程linear equation 线性方程;一次方程linear equation in two unknowns 二元一次方程;二元线性方程linear inequality 一次不等式;线性不等式linear momentum 线动量linear programming 线性规划linearly dependent 线性相关的linearly independent 线性无关的literal coefficient 文字系数literal equation 文字方程load 负荷loaded coin 不公正钱币loaded die 不公正骰子local maximum 局部极大(值)local minimum 局部极小(值)locus, loci 轨迹logarithm 对数logarithmic equation 对数方程logarithmic function 对数函数logic 逻辑logical deduction 逻辑推论;逻辑推理logical step 逻辑步骤long division method 长除法loop 回路loss 赔本;亏蚀loss per cent 赔率;亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lower sum 下和lower triangular matrix 下三角形矩阵lowest common multiple(L.C.M) 最小公倍数machine 机械Maclaurin expansion 麦克劳林展开式Maclaurin series 麦克劳林级数magnitude 量;数量;长度;大小major arc 优弧;大弧major axis 长轴major sector 优扇形;大扇形major segment 优弓形;大弓形mantissa 尾数mantissa of logarithm 对数的尾数;对数的定值部many to one 多个对一个many-sided figure 多边形many-valued 多值的map into 映入map onto 映上mapping 映射marked price 标价Markov chain 马可夫链mass 质量mathematical analysis 数学分析mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学matrix 阵; 矩阵matrix addition 矩阵加法matrix equation 矩阵方程。

优缺点作文素材英文

优缺点作文素材英文

优缺点作文素材英文英文:Advantages and Disadvantages。

Advantages and disadvantages are two sides of the same coin. They are the pros and cons of a certain situation, decision, or action. In this essay, I will discuss the advantages and disadvantages of various topics.One advantage of technology is that it makes our lives easier and more convenient. For example, smartphones allow us to communicate with anyone, anywhere, at any time. We can use them to access the internet, check our emails, and even pay our bills. However, one disadvantage of technology is that it can be addictive. Some people become so dependent on their devices that they neglect their relationships and responsibilities.Another advantage is that education can open doors tonew opportunities and experiences. For instance, learning a foreign language can help us communicate with people from different cultures and countries. It can also enhance our job prospects and increase our earning potential. However, one disadvantage of education is that it can be expensive. Not everyone can afford to go to college or university, which can limit their options and opportunities.Finally, one advantage of travel is that it broadens our horizons and exposes us to new cultures and perspectives. We can learn about history, art, and cuisine, and meet new people and make new friends. However, one disadvantage of travel is that it can be stressful and exhausting. We may experience jet lag, culture shock, and language barriers, and encounter unexpected challenges and dangers.中文:优缺点。

(完整版)数学建模专业词汇

(完整版)数学建模专业词汇

算法常用术语中英对照算法常用术语中英对照Data Structures 基本数据结构Dictionaries 字典Priority Queues 堆Graph Data Structures 图Set Data Structures 集合Kd-Trees 线段树Numerical Problems 数值问题Solving Linear Equations 线性方程组Bandwidth Reduction 带宽压缩Matrix Multiplication 矩阵乘法Determinants and Permanents 行列式Constrained and Unconstrained Optimization 最值问题Linear Programming 线性规划Random Number Generation 随机数生成Factoring and Primality Testing 因子分解/质数判定Arbitrary Precision Arithmetic 高精度计算Knapsack Problem 背包问题Discrete Fourier Transform 离散Fourier变换Combinatorial Problems 组合问题Sorting 排序Searching 查找Median and Selection 中位数Generating Permutations 排列生成Generating Subsets 子集生成Generating Partitions 划分生成Generating Graphs 图的生成Calendrical Calculations 日期Job Scheduling 工程安排Satisfiability 可满足性Graph Problems -- polynomial 图论-多项式算法Connected Components 连通分支Topological Sorting 拓扑排序Minimum Spanning Tree 最小生成树Shortest Path 最短路径Transitive Closure and Reduction 传递闭包Matching 匹配Eulerian Cycle / Chinese Postman Euler回路/中国邮路Edge and Vertex Connectivity 割边/割点Network Flow 网络流Drawing Graphs Nicely 图的描绘Drawing Trees 树的描绘Planarity Detection and Embedding 平面性检测和嵌入Graph Problems -- hard 图论-NP问题Clique 最大团Independent Set 独立集Vertex Cover 点覆盖Traveling Salesman Problem 旅行商问题Hamiltonian Cycle Hamilton回路Graph Partition 图的划分Vertex Coloring 点染色Edge Coloring 边染色Graph Isomorphism 同构Steiner Tree Steiner树Feedback Edge/Vertex Set 最大无环子图Computational Geometry 计算几何Convex Hull 凸包Triangulation 三角剖分Voronoi Diagrams Voronoi图Nearest Neighbor Search 最近点对查询Range Search 范围查询Point Location 位置查询Intersection Detection 碰撞测试Bin Packing 装箱问题Medial-Axis Transformation 中轴变换Polygon Partitioning 多边形分割Simplifying Polygons 多边形化简Shape Similarity 相似多边形Motion Planning 运动规划Maintaining Line Arrangements 平面分割Minkowski Sum Minkowski和Set and String Problems 集合与串的问题Set Cover 集合覆盖Set Packing 集合配置String Matching 模式匹配Approximate String Matching 模糊匹配Text Compression 压缩Cryptography 密码Finite State Machine Minimization 有穷自动机简化Longest Common Substring 最长公共子串Shortest Common Superstring 最短公共父串robustness 鲁棒性rate of convergence 收敛速度数据结构方面数据结构基本英语词汇数据抽象 data abstraction数据元素 data element数据对象 data object数据项 data item数据类型 data type抽象数据类型 abstract data type逻辑结构 logical structure物理结构 phyical structure线性结构 linear structure非线性结构 nonlinear structure基本数据类型 atomic data type固定聚合数据类型 fixed-aggregate data type可变聚合数据类型 variable-aggregate data type 线性表 linear list栈 stack队列 queue串 string数组 array树 tree图 grabh查找,线索 searching更新 updating排序(分类) sorting插入 insertion删除 deletion前趋 predecessor后继 successor直接前趋 immediate predecessor直接后继 immediate successor双端列表 deque(double-ended queue)循环队列 cirular queue指针 pointer先进先出表(队列)first-in first-out list后进先出表(队列)last-in first-out list栈底 bottom栈定 top弹出 pop队头 front队尾 rear上溢 overflow下溢 underflow数组 array矩阵 matrix多维数组 multi-dimentional array以行为主的顺序分配 row major order以列为主的顺序分配 column major order 三角矩阵 truangular matrix对称矩阵 symmetric matrix稀疏矩阵 sparse matrix转置矩阵 transposed matrix链表 linked list线性链表 linear linked list单链表 single linked list多重链表 multilinked list循环链表 circular linked list双向链表 doubly linked list十字链表 orthogonal list广义表 generalized list链 link指针域 pointer field链域 link field头结点 head node头指针 head pointer尾指针 tail pointer串 string空白(空格)串 blank string空串(零串)null string子串 substring树 tree子树 subtree森林 forest根 root叶子 leaf结点 node深度 depth双亲 parents孩子 children兄弟 brother祖先 ancestor子孙 descentdant二叉树 binary tree平衡二叉树 banlanced binary tree 满二叉树 full binary tree完全二叉树 complete binary tree遍历二叉树 traversing binary tree 二叉排序树 binary sort tree二叉查找树 binary search tree线索二叉树 threaded binary tree哈夫曼树 Huffman tree有序数 ordered tree无序数 unordered tree判定树 decision tree双链树 doubly linked tree数字查找树 digital search tree树的遍历 traversal of tree先序遍历 preorder traversal中序遍历 inorder traversal后序遍历 postorder traversal图 graph子图 subgraph有向图 digraph(directed graph)无向图 undigraph(undirected graph) 完全图 complete graph连通图 connected graph非连通图 unconnected graph强连通图 strongly connected graph 弱连通图 weakly connected graph加权图 weighted graph有向无环图 directed acyclic graph 稀疏图 spares graph稠密图 dense graph重连通图 biconnected graph二部图 bipartite graph边 edge弧 arc路径 path回路(环)cycle弧头 head弧尾 tail源点 source终点 destination汇点 sink权 weight连接点 articulation point初始结点 initial node终端结点 terminal node相邻边 adjacent edge相邻顶点 adjacent vertex关联边 incident edge入度 indegree出度 outdegree最短路径 shortest path有序对 ordered pair无序对 unordered pair简单路径 simple path简单回路 simple cycle连通分量 connected component邻接矩阵 adjacency matrix邻接表 adjacency list邻接多重表 adjacency multilist遍历图 traversing graph生成树 spanning tree最小(代价)生成树 minimum(cost)spanning tree 生成森林 spanning forest拓扑排序 topological sort偏序 partical order拓扑有序 topological orderAOV网 activity on vertex networkAOE网 activity on edge network关键路径 critical path匹配 matching最大匹配 maximum matching增广路径 augmenting path增广路径图 augmenting path graph查找 searching线性查找(顺序查找)linear search (sequential search) 二分查找 binary search分块查找 block search散列查找 hash search平均查找长度 average search length散列表 hash table散列函数 hash funticion直接定址法 immediately allocating method数字分析法 digital analysis method平方取中法 mid-square method折叠法 folding method除法 division method随机数法 random number method排序 sort内部排序 internal sort外部排序 external sort插入排序 insertion sort随小增量排序 diminishing increment sort选择排序 selection sort堆排序 heap sort快速排序 quick sort归并排序 merge sort基数排序 radix sort外部排序 external sort平衡归并排序 balance merging sort二路平衡归并排序 balance two-way merging sort多步归并排序 ployphase merging sort置换选择排序 replacement selection sort文件 file主文件 master file顺序文件 sequential file索引文件 indexed file索引顺序文件 indexed sequential file索引非顺序文件 indexed non-sequential file直接存取文件 direct access file多重链表文件 multilist file倒排文件 inverted file目录结构 directory structure树型索引 tree index。

数学建模-模型优缺点评价

数学建模-模型优缺点评价

数学建模-模型优缺点评价
数学建模中模型的优劣评价主要从以下几个方面考虑:
1.模型的准确性:模型的准确性是评价一个模型好坏的重要指标。

模型要能够准确地描述和解释问题的本质和内在规律,并能够预测未知情况或进行决策。

2.模型的简化程度:模型要尽可能简化而不失准确性,避免过度复杂和冗余的参数和结构。

简化的模型更易理解、计算和应用,降低了建模和计算的复杂度。

3.模型的可用性和通用性:模型应具有广泛的适用性和通用性,能够解决多个相关的问题,而不仅仅是特定场景下的一个问题。

模型能够应用于实际情境中,并能得到可靠的结果。

4.模型的稳定性和可靠性:模型应具备良好的稳定性和可靠性,保证模型在不同数据条件下有一致的表现,减小误差和波动。

此外,模型应该对输入数据和参数的变化具有一定的鲁棒性。

5.模型的可解释性:一个好的模型应该具备可解释性,即模型能够清晰地解释和说明问题的本质,能够对模型的结果进行合理的解读和解释。

模型解释能够帮助人们理解问题背后的原理和规律。

综上所述,模型的优劣评价需要综合考虑准确性、简化程度、可用性、通用性、稳定性、可靠性和可解释性等多个因素,并根据具体问题的需求和应用背景进行综合评估。

数学建模竞赛h奖英文

数学建模竞赛h奖英文

数学建模竞赛h奖英文Mathematical Modeling Competition H Award1. Mathematical:数学的2. Modeling:建模3. Competition:竞赛4. H: H奖5. Award:奖项1. The mathematical modeling competition requires participants to apply mathematical principles to solve real-world problems.数学建模竞赛要求参赛者将数学原理应用于解决现实世界的问题。

2. In order to excel in the competition, students must demonstrate strong analytical and problem-solving skills.为了在竞赛中取得优异的成绩,学生们必须展示出强大的分析和问题解决能力。

3. The H award is a prestigious recognition given to those who demonstrate exceptional mathematical modeling abilities.H奖是对那些展示出卓越数学建模能力的人的一个有声望的认可。

4. Winning the H award is a testament to the recipient's dedication to the field of mathematical modeling.赢得H奖是对获奖者在数学建模领域专注的证明。

5. Participants in the competition are evaluated based on the clarity of their mathematical models, the accuracy of their solutions, and the creativity in their approaches.竞赛的参赛者将根据数学模型的清晰度、解决方案的准确性和方法的创造力进行评估。

数模美赛论文常用词汇

数模美赛论文常用词汇

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。

美国数学建模比赛规则翻译

美国数学建模比赛规则翻译

比赛规则,注册与指导(所有的规则与指导适用于ICM和MCM比赛,不包括附加的通知与说明)每组参加比赛的队伍必须有一个该学院的指导老师进行指导。

指导教师:请仔细阅读以下说明。

你的责任是确保参赛队伍正确注册并且顺利完成所有参加比赛的各项要求。

在参赛过程中请打印一份参赛指导以作参考。

1.开始参赛前:A. 注册B. 组建队伍2. 比赛开始后A. 通过比赛网站了解比赛试题B. 选择问题C. 团队准备解决方案D. 打印出3.比赛结束前A. 通过邮件发送一份电子版的报告。

4. 比赛结束时A. 将报告压缩打包B. 邮寄包裹5.比赛结束后A. 确认你的队伍的报告接收成功B. 查看比赛结果C. 证书D. 奖励重要说明:1、COMAP对规则与政策有最终解释权,并且可以根据自己的判断取消没有按照比赛规程和要求的队伍的注册资格。

2、如果参赛队伍被发现违规,那么该队的指导教师将被取消一年的指导资格,并且该指导教师所在学校将被取消参加下一届比赛的资格。

3、如果同一所院校的队伍被发现违反比赛规则两次,那么这个学校将至少一年不允许参加比赛。

4、所有的时间以美国东部时间为准。

一、在比赛开始之前:A 注册所有的队伍必须在美国东部时间2011年2月10日下午两点之前完成注册。

我们建议所有队伍能够提前完成所有的注册过程,因为注册系统在截至时间后不会接受任何新的注册队伍。

COMAP在任何情况下都不会接受任何迟到的MCM/ICM注册队伍。

不会有任何的特例。

●通过网站注册队伍:网址/undergraduate/contests/mcm.a.如果你是为今年的比赛注册第一支队伍,那么点击位于屏幕左手边的Register for 2011 Contest键。

输入全部要求的信息,包括你的email地址以及联系信息。

重要提示:确保提供的邮箱地址是有效并且是你现在经常使用的,这样,如果必要的话,我们在比赛的任何时间都能与您取得联系。

b.如果你已经为今年的比赛进行过队伍注册,并且想注册第二支队伍,点击Advisor Login,然后输入与第一支队伍注册用的相同的邮箱地址和密码。

模拟数字优缺点英文作文

模拟数字优缺点英文作文

模拟数字优缺点英文作文英文:Advantages and Disadvantages of Simulating Numbers。

Simulating numbers is a common practice in many fields, including science, engineering, and finance. It involves using computer programs or mathematical models to generate data that can be used to make predictions or test hypotheses. While there are certainly advantages to this approach, there are also some potential drawbacks that should be considered.One of the main advantages of simulating numbers isthat it can save time and money. For example, instead of conducting a costly and time-consuming experiment to test a hypothesis, researchers can use a simulation to generate data that can be analyzed much more quickly and at a lower cost. In addition, simulations can be used to explore a wide range of scenarios that might be difficult orimpossible to replicate in the real world.Another advantage of simulating numbers is that it can help to identify patterns and relationships that might not be apparent from observational data alone. For example, a simulation might reveal that two seemingly unrelated variables are actually highly correlated, which could lead to new insights and discoveries.However, there are also some potential disadvantages to simulating numbers. One issue is that simulations are only as good as the models and assumptions on which they are based. If these models and assumptions are flawed, the results of the simulation may not be accurate or reliable. In addition, simulations can be prone to bias and errors, especially if they are not designed and executed properly.Another potential disadvantage of simulating numbers is that it can be difficult to interpret the results. Simulations can generate large amounts of data, and it can be challenging to determine which results are meaningful and which are not. This can lead to confusion andmisinterpretation, which can have serious consequences in some fields.Overall, simulating numbers can be a powerful tool for generating data and testing hypotheses, but it is important to use this approach carefully and with caution. Researchers should be aware of the potential advantages and disadvantages of simulations, and should take steps to ensure that their models and assumptions are sound andtheir simulations are properly designed and executed.中文:模拟数字的优缺点。

数字化交流的优势和劣势英语作文

数字化交流的优势和劣势英语作文

数字化交流的优势和劣势英语作文Digital communication has revolutionized the way we interact with each other. It's fast, convenient, and often feels more personal than traditional methods. But like anything, it has its pros and cons.On the bright side, digital communication allows us to stay connected no matter where we are. A simple text or video call can bridge the gap between continents and bring us closer to our loved ones. It's also a great way to stay updated on the latest news and trends, without having to wait for the next issue of the newspaper or magazine.But there's a flipside too. Sometimes, digital communication can feel superficial and lacking in depth. A quick "like" or "comment" doesn't always capture the true essence of a conversation or relationship. We might lose touch with the art of listening and understanding, as we get caught up in the constant flow of messages and notifications.Another downside is the potential for misinterpretation. Without the non-verbal cues we rely on in face-to-face communication, a simple message can be taken.。

数学建模模型优缺点评价

数学建模模型优缺点评价

数学建模模型优缺点评价第一篇:数学建模模型优缺点评价模型评价:模型优点:建立的模型方法简单易行,且易中应用于现实生活。

模型缺点:考虑的影响因素较少,在处理问题时可能存在一些误差。

仅使用一个月的数据具有一定的局限性,另外对外伤患者都按急症处理,考虑的情况比较简单。

模型评价:优点:1)模型具有坚实可靠的数学基础。

很多数学理论已经证明这是设计中继站分布的最好的方法;模型易于实现;模型使中继站发挥最大的效能。

2)3)不足:1)我们的模型只适用于人口均匀分布的情形;2)我们仅考虑中继站信号的服务范围能够根据我们的需要进行调整的情形。

.模型评价模型一能比较准确的计算大区域环境下的中继站最少数量,且模型思想简单,通俗易懂,形式简洁能被大多数人所理解。

模型在中继站覆盖半径大于区域半径的0.2倍时出现与模拟值差6误差是其最不如人意的,也是其最大的缺点。

其出现的原因是当初步判断正六边形的圈数n时,当第n层形成的正六边形的顶点完全包含在圆形区域内的情况下所造成的。

可以,在其中增加一条选择约束2n+1r222(3r)+()≤R 22当其成立时在计算结果上加6,就可以解决差6误差。

模型二根据日常实际在通信当中的随机性,以及在圆的直径在各同心圆交点的密度与其半径成反比的事实。

假设中继站的密度也与其到中心的距离成反比。

又由需要建立的网络层数N和中继站的覆盖正六边形的面积A,该密度为N/A。

在人口分不未知的情况下采取这种近似。

其中的随意性比较大,且没有数学依据是该模型的致命缺点。

第二篇:数学建模万能9模型优缺点评价八、模型评价优点:1、本文在正确、清楚地分析了题意地基础上,建立了合理、科学的可变成本计算模型,为求最大利润准备了条件。

2、在假设基础上建立了计算折旧费用的模型,巧妙地解决了实房、期房数目不确定的问题。

3、建立了以最大利润为目标的单目标规划函数,选用MATLAB 编程,具有一定的实际价值。

4、运用了正确的数据处理方法,很好的解决了小数取整问题。

什么是数学建模数学建模的好处意义数学建模需要什么能力

什么是数学建模数学建模的好处意义数学建模需要什么能力

什么是数学建模数学建模的好处意义数学建模需要什么能力竞赛来历:美国大学生数学建模竞赛(MCMICM)(简称“美赛”),是一项国际级的竞赛项目,为现今各类数学建模竞赛之鼻祖。

MCMICM 是Mathematical Contest in Modeling 和Interdisciplinary Contest in Modeling 的缩写,即“数学建模竞赛”和“交叉学科建模竞赛”。

MCM 始于1985 年,ICM 始于2000 年,由COMAP (the Consortium for Mathematics and Its Application,美国数学及其应用联合会)主办,得到了SIAM,NSA,INFORMS 等多个组织的赞助。

中国大学生数学建模竞赛(CUMCM)(通称“全国大学生数学建模竞赛”,简称“全赛”),是全国高校规模最大的课外科技活动之一。

CUMCM是China Undergraduate Mathematical Contest in Modeling的缩写。

1992年由中国工业与应用数学学会(CSIAM)组织第一次竞赛。

1994年起由教育部高等教育司和CSIAM 共同举办。

2、竞赛概况:美国大学生数学建模竞赛美赛以三人(本科生)为一组,在四天时间内,就指定的问题完成从建立模型、求解、验证到论文撰写的全部工作。

MCMICM 着重强调研究问题、解决方案的原创性、团队合作、交流以及结果的合理性。

竞赛每年都吸引大量著名高校参赛。

美赛每年的比赛时间一般定在二月初,需要通过官方网站报名,而且需要有固定的指导教师。

一般各大高校均会组织感兴趣的同学进行赛前培训以及报名、交费等事宜。

美赛共设置四个奖项,分别为Outstanding Winner,Finalist,Meritorious Winner,Honorable Mentions。

在国内,约定俗成地将这四个奖项分别对应为特等奖、特等奖候选奖、一等奖、二等奖。

  1. 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
  2. 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
  3. 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。

Evaluations of solutionsStrengths✧Our main model's strength is its enormous edibility. For instance,……..Including allthese factors into a single, robust framework, our model enables✧We developed a theoretical line formation model which agrees without rough data. Ourcomputer model agrees with both despite working on different principles, implying it behaves as we want.✧This allows us to make substantive conclusions about✧Finally, our model is strong because of✧The Monte Carlo simulation has been perfectly used in our models, and thesimulation results are consistent with the reality.✧We introduced…… in order to improve the exchange quality. The chain rulescan also modified in a degree.✧The models used in our paper is promotional, in view of different consideration,✧we can modify our models conveniently.✧the model is independent of the site simulated( )…✧the( )model is .intuitive✧the algorithm is efficient ::✧ a corresponding strength of our model is that it would be relatively easy to include aparameter for probability of ……✧Our model is particularly appropriate for simulation of ……, a problem that naturallylends itself to such discrete modeling.✧The fundamental strengths of our model are…✧The model is independent of…✧Processor-based model has few input parameters, leading to good robustness andsensitivity.✧Uses a variety of modeling techniques in an integrated, holistic model.✧Our model effectively achieved all of the goals we set initially. It was fast and couldhandle large quantities of data, but also had the flexibility we desired. Though we did not test all possibilities, we showed that our model optimizes state districts for any ofa number of variables. If we had chosen to input income, poverty, crime or educationdata into our interest function, we could have produced high-quality results with virtually no added difficulty. As well, our method was robust.✧Our main model's strength is its enormous flexibility. For instance✧This allows us to make substantive conclusions about policy issues, even withoutextensive data sets. By varying parameters, allocation rules, and our program'sobjective function——all quite feasible within the structure——we can examine the guts of policymaking: the ethical principles underlying a policy, the implementation rules designed to fulfill them, and the sometimes nebulous numbers that govern the results.✧Finally, our model is strong because of its discrete setup.✧The fundamental strengths of our model are its robustness and flexibility. All ofthe data is fully parameterized, so the model can be applied to……Weaknesses✧Some special data can’t be found, and it makes that we have to do some properassumption before the solution of our models. A more abundant data resource can guarantee a better result in our models. Current line length is not taken intoaccount by the line formation model. In real life……✧Weaknesses of the model included assumptions made for simplicity that likely do nothold. For instance, in most runs of our model on(sides……), cases (impact/conclusion) t o…… This feature is likely a result of our assumption that /The primary weakness of this model is the( ), It should be possible to eliminate this, another weakness that could be corrected with more analysis is ( )`✧The primary weakness of this model is the…Another weakness that could be corrected with more analysis is …✧Parameters have to be derived from physical occurrences.✧The other primary weakness of our model is our lack of metrics for comparison.✧Although we list the model's comprehensive, discrete simulation as a strength, it is ✧(Paradoxically) also the most notable weakness. Our results lack clear….Second ,ourmodel demands great attention to….While its general structure and methodology are valid, the specific figures embedded in its code are not airtight.✧Although we list the model's comprehensive,……as a strength, it is(paradoxically) also the most notable weakness. Our results lack clear illustrative power; data manipulated through a computer program cannot achieve the same effect as……✧Indeed, there is a fundamental tradeoff here between realism and elegance, andour model arguably veers toward over realism.。

相关文档
最新文档