数学模型与数学建模(Mathematical model and mathematical modeling)

数学模型与数学建模（Mathematical model and mathematical

modeling）

Edit reference materials for this competition

Competition reference book

L, Chinese Undergraduate Mathematical Contest in modeling, edited by Li Daqian, higher education press (1998).2, mathematical modeling contest tutorials, (a) (two) (three), edited by Ye Qixiao, Hunan Education Publishing House (199319971998).3, mathematical modeling education and international mathematics modeling contest "Engineering Mathematics" album, leaves its filial., "Engineering Mathematics" magazine, 1994).

Two, domestic teaching materials, books

1, mathematical model, Jiang Qiyuan, higher education press (1987 edition, 1993 second edition; the first edition held

in 1992 by the National Education Committee, the second national outstanding teaching award won the "national outstanding teaching award"), mathematical model and computer simulation of.2, Jiang Yuzhao and Xin Pei love series, electronic science and Technology University Press, (1989).3, a mathematical model about selection (to mathematics from the book), Hua Luogeng, Wang Yuan, Wang Ke, Hunan education press; (1991) with the example of.4, mathematical modeling method, Shou Jilin et al, Xi'an Jiao Tong University press (1993),.5 model, Dongpu set country, edited by Tian Yuwen, Southeast University press (1994) the mathematical model of.6.., Zhu Siming, Li Shanglian, Zhongshan University press, 7 (1995), mathematical model,

edited by Chen Yihua, Chongqing University press, (1995) 8, mathematical modeling analysis, edited by Cai Changfeng, Science Press,.9 (1995), mathematical modeling contest tutorials, edited by Li Shangzhi, Jiangsu Education Press, (1996).10, mathematical modeling entry, Xu Quanzhi, Yang Jinhao, Chengdu Electronic Science and Technology Press, 11. (1996), mathematical modeling, Shen Jihong, Shi Jiuyu, Gao Zhenbin Zhang Xiaowei, ed., Harbin Engineering University press, 12. (1996), mathematical models, edited by Wang Shuhe, University of Science & Technology China press, 13. (1996), mathematical model method, Jihuan edited, China University of science and Technology Press, (1996).14, mathematical modeling and experiment, Nanjing Engineering College Mathematical Modeling and Industrial Mathematics discussion class, Hohai University press, (1996).15, mathematical model and mathematical modeling, Liu Laifu and Zeng literary series, Beijing Division Fan Du University Press (1997).16. mathematical modeling, Yuan Zhendong, Hong Yuan, Lin Wuzhong, Jiang Lumin, East China Normal

University press, 17. Mathematical model, Tan Yongji, Yu Wenpi, Fudan University press, (1997).18, the mathematical model of practical course, Fei Peizhi, Yuan layer process editor, Sichuan University press, (1998).19, mathematical modeling the outstanding cases (Base Construction Engineering Mathematics Series), edited by Wang Guoqiang, South China University of Technology press, (1998).20, economic mathematical model (Second Edition) (construction engineering mathematics base, Hong Yi, He Dehua, Cong Books), edited by Chang Zhihua, South China University of Technology press, (1999).21, the mathematical model of lectures, Gongyan Lei, (Peking University press 1999).22,

mathematical modeling cases, edited by Zhu Daoyuan, Southeast University press, (1999), 23, solve the problem

of the mathematical model, Liu Laifu, once wrote, the

Beijing Normal University press, (1999).24, mathematical modeling theory and practice, Wu Xiang, Ng Man Tat, Cheng Ortega ed., National University of Defense Technology press, (1999).25 analysis, mathematical modeling case, Bai Qi Ling, editor, Ocean Press,.26 (2000, Beijing) (College of mathematics experiment, the selection of teaching materials, Xie Yunsun Zhang Zhirang Series), ed., Science Press,.27 (2000), Fu Peng, Gong Lei, mathematical experiment, Liu Qiongsun, He Zhong, ed., Science Press, (2000).

Three. Foreign reference books (Chinese version)

1. Introduction to mathematical model, E.A. Bender, Zhu Yaochen, Xu Weixuan, Popular Science Press (1982). 2, the mathematical model, [door] Kondo Jiro, Guan Rong Zhang: Mechanical Industry Press, (1985).

3, the differential equation model (model series volume first), beauty editor of]W.F.Lucas, Zhu Yumin et al., National University of Defense Technology press, (1988),.4 (political and related models, the application of mathematical model series Vol. second) [W.F.Lucas, beauty editor, Wang Guoqiu et al., National University of Defense Technology press, (1996).5, and the discrete system model (model series volume third), beauty editor of w.F.Lucas, a Ortega et al., National University of Defense Technology press, (1996) model,.6 (Life Sciences, applied mathematics model in fourth volumes), beauty editor of 1W.F.Lucas, Zhai

Xiaoyan et al., National University of Defense Technology press, (1996).7, the mathematical model of continuous dynamical system, and discrete dynamical systems,

1H.B.Grif6ths and A.01dknow [English, Xiao Li, Zhijun (compiler, Science Press, 1 996).8, mathematical modeling -

- case study from four industries in the United Kingdom, (Applied Mathematics Series No. fourth), the

British]D.Burglles, Ye Qixiao, Wu Qingbao, World Book Inc, (1997)

Four, professional reference books

1, the water environment mathematical model,

de]W.KinZE1bach, Yang Rujun, Liu Zhaochang, editor, China Architecture Industry Press, (1987) the mathematical model of.2 science and technology engineering, Humphreys Anqi ed., Railway Press (1988), 3 biomedical model, Qingyi science edited by Hunan science and Technology Press (1990) model and application of.4, crop pest management mathematics, Pu Zhelong ed., Guangdong science and Technology Press (1990),.5 in system science and mathematics model, edited

by Ouyang Liang E, Shandong University press, (1995) the mathematical modeling and research of.6, population ecology, Ma Temple, Anhui Education Press, 7, (1996), modeling new progress in the transformation, optimization, comprehensive method, structure of Sui Yunkang, Dalian University of Technology press, 8, (1986) the genetic model analysis method, Zhu Jun, agriculture press China (1 997). (edited

by Wang Shousong, Department of mathematics, Zhongshan University, April 2001)

Editing the format requirements of this paragraph

A team from A,

B in the optional one, group B teams from C, D choose a topic. The white A4 paper printed on one side;

on each side set aside at least 2.5 cm from the left margin; binding. The first page of the paper is a commitment, and the specific content and format are shown in the second

page of this specification. The second page number for the special page, front and back for the regional and national review of the paper number, specific content and format see page third of this specification. The title and abstract of the paper are written on the third page of the paper, starting from the fourth page, and the main body of the paper. The paper starts with third pages, the page number must be located in the middle of each page footer, with Arabia number from "1" start serial number. There is no header in the paper, and there is no sign in the paper that can show the identity of the person who answers the question. The title of this paper is "three" boldface, and the first title is in boldface No. four, and centered. This paper adopts four other Chinese characters Song typeface, with single spaced pages, print should be avoided in color printing. Abstract: draw attention should be a detailed summary of the concise and to the point (including keywords), occupies an important weight in the whole paper review, please carefully write (note the length of no more than one page, and there is no need to be translated into English). The review will first according to the quality of the paper and the overall structure of the thesis and overview of the preliminary screening. The quotation of

other's achievements or other public information (including

the data found on the Internet) must be clearly listed in the references and references in accordance with the provisions of the reference. The reference in the text uses square brackets to mark the reference number, such as

[1][3], etc., and the book must also point out the page number. The references are listed in the quotation order of the text, in which the book is expressed as: author, title, publication place, publishing house, publishing year. The methods of expression of journal articles in reference books are: author, paper name, Journal name,

Volume number, page number, year of publication. The reference resources in the literature are: author, resource title, URL, access time (month, date). In the premise of not breaking the regulations, each division can increase the other requirements (such as adding other pages and other information on the first page of this specification before or at the end of this paper add blank page etc.); from the beginning to the end of the undertaking, the division shall not have any other requirements of this specification the (or null). The right of interpretation belongs to the Organizing Committee of the National Mathematical Contest for modeling students. [note] division marking the papers before the first page take preservation, and to establish "division marking numbers in the first and second pages" (by the way, "the provisions of division number) division table can be used for marking the record review (division each division to decide whether to use the form in review). After review, the division sent to the national review papers to establish a national unified numbering in the second page "(numbering by the organizing

committee, and last year the same format), and then sent to the national review. The second page (page number) preserved by the National Organizing Committee review before take off, and the establishment of the national review number on page second". The National College Mathematical Contest in modeling was revised in September 12, 2008

Edit the competition Guide

What is mathematical model and mathematical modeling?

Simply put: mathematical models are a mathematical expression of practical problems. Specifically, the mathematical model is an abstract, simplified mathematical structure of some real world for some purpose. Rather, the mathematical model is for a specific object to a specific target, according to the unique inherent laws, make some simplifying assumptions necessary, using appropriate mathematical tools, a mathematical structure is obtained. Mathematical structures can be mathematical formulas, algorithms, tables, diagrams, etc.. Mathematical modeling is the establishment of mathematical models, the process of establishing mathematical models is the process of mathematical modeling (see mathematical modeling process flow chart). Mathematical modeling is a mathematical thinking method, is the use of mathematical language and methods, through the abstract and simplify the establishment of an approximate description and "solve" practical problems of a powerful mathematical means.

First, the mechanism analysis method: the model is deduced from the basic physical law and the structural data of the system. 1. scale analysis -- the most basic and most commonly used method to establish the functional relationship among variables. 2. algebraic method -- the main method for solving discrete problems (discrete data, symbols and graphs). 3. logic method is an important method of mathematical theory research. It is widely used in the fields of sociology and economics, in decision-making, countermeasures and other disciplines. 4. ordinary differential equation - to solve the law of variation between two variables, the key is to establish the expression of "instantaneous rate of change". 5. partial differential equation -- solving the law of variation between dependent variable and more than two independent variables. Two. Data analysis method establishes mathematical model by using statistical method from a large number of observation data. 1. regression analysis - a set of observations (Xi, FI) i=1,2 for function f (x)... N, which determines the expression of a function, is called a mathematical statistical method because it is a static independent data. 2. time series analysis deals with dynamic related data, also known as process statistics. 3. regression analysis - a set of observations (Xi, FI) i=1,2 for function f (x)... N, which determines the expression of a function, is called a mathematical statistical method because it is a static independent data. 4. time series analysis deals with dynamic related data, also known as process statistics. Three, simulation and other methods 1. computer simulation (simulation) - essentially statistical estimation method, equivalent to the sampling test.

Discrete system simulation - there is a set of state variables. Continuous system simulation with analytic expression or system structure diagram. 2. factor test method -- local test on the system, then according to the test results for continuous analysis and modification,

The required model structure is obtained. 3. artificial reality method, based on the understanding of the past behavior of the system and the desired future goals, and taking into account the possible changes in the relevant factors of the system, artificially forming a system. (see: Qi Huan, mathematical modeling method, Huazhong University of science and Technology Press, 1996)

IV. types of questions

Match questions structure has the following parts: background, problems involving wide 1. - social, economic, management, life, environment, natural phenomena, engineering technology, modern science in the new issue. 2. generally, there is a definite practical problem. Two, some assumptions are as follows: 1. only the process and rules of qualitative assumptions, no specific quantitative data;

2. are some survey or statistics;

3. gives a number of parameters or graphics;

4. contains some assumptions of mobility, can play, or players can according to their own collection or simulated data. Three, asked to answer the question often have several problems (generally not only answer: 1.) more definitive answers (basic answers); 2. more detailed or high-level discussion results (often is the optimal scheme formulation and results).

Competition answer paper

To submit a paper, the basic content and format is roughly divided into three parts: first, the title, abstract part:

1. topics - write a more precise topic (not only write A,

B). 2. Abstract --200-300 words, including the main features of the model, modeling methods and main results.

3., when there is more content, it is better to have a directory. Two, the central part: 1. problem raised, problem analysis. 2. models: the complementary hypothesis, clear concept, the introduction of the model parameters; form (with multiple models); for the model; the model of nature; the realization of computer design and calculation method of the 3.

4. result analysis and test.

5. discuss the advantages and disadvantages of the model, improve the direction, and promote new ideas.

6. references -- attention format. Three. Appendix: 1. calculation program, block diagram. 2. solving the calculus and calculating the intermediate result. 3. various graphics and forms.

Edit this paragraph competition questions collection

1992 (A) fertilizer effect analysis problem (Ye Qixiao: Beijing Institute of Technology) (B) experimental data decomposition (East China University of Science and Technology: Yu Wen; Fudan University: Tan Yongji) 1993 (A) frequency design problem of nonlinear intermodulation (Peking University: Xie Zhongjie) (B) football ranking problem (Tsinghua University: Cai Dayong) 1994 (A) of cut paths through mountains (He Dake: Xi'an Electronic and

Science University) (B) the problem of packing locks (Fudan University: Tan Yongji, East China University of Science

and Technology: Yu Wenci) 1995 (A) flight management problems (Fudan University: Tan Yongji, East China

University of Science and Technology: Yu Wenci) (B) scheduling problem of crane and smelting furnace (Zhejiang University: Liu Xiangguan, Li Ji Luan) 1996 (A) the problem of optimal fishing strategy (Beijing Normal University: Liu Laifu) (B) of water-saving washing machine ask Question (Chongqing University: Fu Li) in 1997 (A) design parameters of parts (Tsinghua University: Jiang Qiyuan) (B) cutoff problem (Fudan University: Tan Yongji,

East China University of Science and Technology: Yu Wenci) 1998 (A) risk and return of investment (Chen Shuping: Zhejiang University) (B) routing problem (disaster tour of Shanghai Maritime University: Ding Songkang) 1999 (A) automatic lathe management problems (Peking University: Sun Shanze) (B) drilling layout problem (Zhengzhou University: Lin Yixun) (C) of coal accumulation gangue (Taiyuan University of Technology: Jia Xiaofeng) (D) drilling layout (Zhengzhou University: Lin Yixun) 2000 (A) DNA sequence classification (Meng Dazhi: Beijing University of Technology) (B) order and transportation of steel tubes (Wuhan University: Fei Fusheng) (C) over the Arctic problem (Fudan University: Tan Yongji) (D) (Northeast Dianli University: the problem of detecting cavity the letter of 2001) (A) 3D reconstruction of vessels (Zhejiang University, Wang Guozhao) (B) bus scheduling problem (Tsinghua University: Tan Zeguang) (C) the problem of using funds (Southeast University: Chen Enshui) (D) bus scheduling

problem (Tsinghua University: Tan Zeguang) 2002 (A) the optimization problem of the headlight design (Tan Yongji: Fudan University, East China University of Science and Technology: Yu Wenci) (B) (mathematical problems in lottery The PLA Information Engineering University: Han g) (C) the optimization problem of the headlight design (Tan Yongji: Fudan University, East China University of Science and Technology: Yu Wen) (D) schedule problem (Tsinghua University: Jiang Qiyuan) 2003 (A) spread SARS (LOC) (B) vehicle scheduling problems in open-pit mine production (the Jilin University: Peichen (party) the problem of SARS (C) communication committee) (D) crossing Yangtze River (Huazhong Agricultural University: Yin Jiansu) 2004 (A) Temporary Supermarket Design Problems (Beijing University of Technology: Meng Dazhi) (B) power transmission congestion management (Zhejiang University: Liu Kangsheng) (C) drunk driving problem (Tsinghua University: Jiang Qiyuan) (D) recruitment problem (The PLA Information Engineering University: Han Zhonggeng) 2005 (A) evaluation of water quality of Yangtze River and prediction problem (Han Zhonggeng: The PLA Information Engineering University) (B) DVD online leasing problem (Tsinghua University: Xie Venus) (C) evaluation of rainfall forecast methods (Tan Yongji: Fudan University) (D) DVD online leasing problem (Tsinghua University: Xie Venus, 2006) (A) (Beijing University of Technology press the issue of resource allocation: Meng Dazhi) (B) the prediction problem of AIDS therapy evaluation and the effect of (Tianjin University: Fu Ping) (C) to optimize the cans The problem of designing (Beijing Institute of Technology: Ye Qixiao) (D) monitoring and control of coal mine gas and coal dust (The PLA

Information Engineering University: Han Zhonggeng) 2007 (A) China population growth forecast (B) bus, look at the Olympic Games (C) mobile phone packages preferential geometric (D) body test schedule in 2008 (A) digital camera positioning (B), the standard of higher education tuition, ground search (C), (D) analysis and evaluation of the NBA Calendar 2009 (A) control method of the brake test rig (B) reasonable arrangement for ophthalmic beds (C) satellites and spacecraft tracking control (D) Conference 2010 (A) storage tank the identification and calibration of tank capacity table (B) quantitative assessment of World Expo's influence in Shanghai in 2010 (C) pipeline layout (D) for students The evaluation of dormitory design: C, D is the junior college group competition

Edit this paragraph competition significance

1, cultivate innovative consciousness and creative ability of rapid access to information and data of 2, 3, exercise training to quickly understand and master new knowledge and skills training 4, teamwork and team spirit 5, enhance writing skills and typesetting technology of 6, won the National Award for Paul sent 7 graduate students, won the international level the reward is beneficial to apply for studying abroad 8, more important is the training of

logical thinking and open way of thinking

The social application of editing the mathematical modeling contest

The application of mathematical modeling is a great impetus

and impetus for the contest of mathematical modeling. At present, the first domestic mathematical modeling company - Beijing Noah Mathematical Modeling Technology Co., Ltd. was established in Beijing. Wei Yongsheng, a doctoral student, worked with two other like-minded students in the field of entrepreneurial modeling, from the domain of mathematical modeling that they were familiar with. Wei Yongsheng three people set up a mathematical modeling contest team in April 2003, then won the two prize of state, in 2005 won the

first prize in the international contest of mathematical modeling, the same year in October registered the mathematical modeling in mathematical modeling enthusiasts website, to society, to the direction of the application, they formally established in June last year to the application mathematical modeling for entrepreneurial direction, the formation of entrepreneurial team, opened the road of entrepreneurship. Earlier this month, Beijing's mathematical modeling technology limited company officially registered, Wei Yongsheng entrepreneurial team officially on track. At present, Noah mathematical modeling is its specialization from the perspective of business to expand its strength, mathematical modeling and mathematical model and actively involved in the railway transportation, highway transportation, logistics management and other related solutions and consulting services. Wei Yongsheng explained to reporters, maybe a lot of people do not understand what is the use of mathematical modeling, he cited an example of a train station, to calculate how long a car can not only ensure the passengers were taken away, and to the greatest degree of cost savings, the mathematical model can be calculated by the optimal scheme.

Wei Yongsheng said that their mathematical modeling team has been 6 years of history, with each other, very tacit understanding, but also made dozens of large and small projects. Their business philosophy is to provide a hitherto unknown mathematical modeling and mathematical model of optimal solutions for the direct and potential customers, minimize production cost, realize investment income for the customers. More Atlas