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Mathematical modeling experience
2022-07-29 06:19:00 【Programming sail】
Mathematical modeling experience
mathematics , As a science that studies the quantitative relationship and spatial form of the real world , In the long history of its emergence and development , It has always been closely related to the actual needs of people's life . As the first step to solve practical problems with mathematical methods , Mathematical modeling naturally has the same long history as mathematics . Euclidean geometry founded more than 2000 years ago ,17 Newton's law of universal gravitation discovered in the th century , They are all successful examples of mathematical modeling in the history of scientific development .
Talk about mathematical modeling from my own experience , I think the closer I get to it , The easier it is to be deeply attracted . take part , Although very tired , But in a short time , What you get is much more than what you pay , This also makes us feel extremely satisfied and enriched . Talking about the experience of winning the prize , I think there are mainly the following aspects :
First , Preparation before the game . Everything is ready , If you don't anticipate, you will lose , So a good start is crucial .
Here I want to thank the school and senior brothers and sisters , Pre competition training courses are held every year before the competition , Introduce experience to more students , Explain the basic idea and common models of mathematical modeling . We all have the basic knowledge of Mathematics , But we should use the idea of model to solve the problem , It is impossible to write a good paper without a few models in your mind .
With a good environment , More importantly, reference books , No matter how easy our brains are to use, we can't remember so many formulas and models , It is necessary to prepare several good reference books . Before the competition, try to learn more excellent papers of previous awards , Summarize the algorithms and models used in this paper , When it comes to the game, see if there are ready-made examples to use . All previous examination questions and papers are downloaded on the digital simulation Forum .
secondly , Make more use of the network . Because the modeling competition is semi closed , Therefore, in the process of competition, we should use the Internet as much as possible to consult literature and exchange information , Like the school's Electronic Library 、QQ Group 、 Forum, etc . In the process of communicating and discussing with others , A casual remark from others , It may make you suddenly enlightened , Come up with some new ideas , Of course , Sharing doesn't mean sharing everything , Ideas can be exchanged , Sometimes the conclusions can be compared with each other , But the specific process should be kept confidential , But don't be too conservative because of this , After all, communication is mutual , To believe in , Give and you will be rewarded .
Third , The mentality in the game . The Internet will provide us with information , But it will also bring us pressure , As far as we are concerned , In this competition , When we know that the conclusion of others' first question is far from ours , We were nervous for a while , Because the time of the game is over , But we haven't even solved the first question , And lags behind others a lot . At this time, tell yourself , Now the most important thing is to solve the problem , Do your own problems in a down-to-earth manner , Not compared with time , Don't compare with other teams . After calming down , We finally get a better solution than other groups ,
Fourth , Division of labor of team members . There are three members in a team , You don't need everyone to be a master , But we must have our own strengths . Our division of labor is a debugging program , A main attack algorithm , A special writing . But the division of labor does not work separately , We must cooperate with each other , Discuss more and discuss more , Let the game be held in a compact and harmonious atmosphere .
Last , Let's briefly talk about the writing of the thesis , The general framework of the thesis will not be repeated here . First , The thesis must be organized , have a lucid brain , Simple format , Otherwise, no matter how good the content is, no judge likes to review it ; secondly , Because this is a mathematical modeling competition , Be logical , Definition 、 Theorem 、 Proof of propositions, etc , Derivation of formula , The recurrence of the algorithm must be justified ; Then there must be a mathematical model in the paper , Abstracting the actual problem into a model is the first step of modeling , It's the most important step ; Don't give up every solution in the competition ( Unless the solution is completely wrong ), If necessary, it can be written in the thesis , As a model assumption , As an algorithm demonstration , At least let the teachers know that you have considered this , Maybe this is also a good solution , Just didn't go to the end .
Mathematics is a profound subject , Mathematical modeling brings us closer to Mathematics , Let mathematics come into our study life , Make everything easier 、 More interesting .
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