Chapter 89 Mathematical Modeling (Three updates, please read and ask for monthly votes)
In the courtyard of Xiaoxianzhuang, Xu Chuan turned his head and glanced at the senior sister behind him.
"Senior, can you eat spicy food? Do you have any taboos?"
When treating a guest to a meal or ordering a meal, there is no need to ask the guest what to eat. You only need to pay attention to the guest's taboos.
"I, I can do it."
Liu Jiaxin followed behind and glanced at the courtyard of Xiaoxianzhuang, feeling a little nervous and worried: "It must be very expensive here. How about we go back to the school cafeteria to eat?"
She had never been to a place like this to eat, but she knew it would be expensive here.
Hearing this, Xu Chuan felt a little ashamed and said: "There is no one who invites guests to the school cafeteria. You go in first and I will pick out the fish."
After wandering around the courtyard for a while, Xu Chuan selected the best and most delicious one based on his years of eating fish, and asked the store owner to make a three-for-one fish meal. He added vegetables and soup and went into the inner hall.
"Huh? "Analysis and Research on Questions of College Student Mathematical Modeling Competition", do you want to participate in next year's college student modeling competition?"
Entering the inner hall, Xu Chuan saw a senior sitting alone in front of the window, holding a modeling textbook and reading it carefully.
Professor Zhou Hai mentioned this to him before and asked him to participate, but he refused. The previous IMO and IPHO can be said to be for information security and to make up for regrets, but participating in the college student modeling competition again is pure bullying. No, he still wants to lose face.
"Yeah."
Liu Jiaxin nodded slightly, hesitated for a moment, as if to gather courage for herself, and paused for a while before asking: "Can I ask you two math questions?"
The sound was very soft, as soft as a feather falling to the ground. If Xu Chuan's hearing wasn't quite good, he almost wouldn't have heard it.
"Of course you can. Also, you can speak louder. No matter how small you are, I won't be able to hear you."
Xu Chuan smiled and joked. For him, he is very welcome if anyone is willing to communicate with him about mathematics and physics problems. Of course, as long as they are not those weird 'civilian science' problems.
Hearing Xu Chuan say that her voice was soft, Liu Jiaxin lowered her head in embarrassment, but then she opened her schoolbag again and took out a notebook from it.
"Well, that's really troublesome for you."
Liu Jiaxin opened her notebook, found her question, and handed it to Xu Chuan.
"Is this troublesome? If you have any questions in the future, feel free to ask. However, I may not be able to answer you based on the mathematical knowledge of modeling."
Xu Chuan said casually, took the notebook, and looked at it. There were questions on mathematical modeling, as well as ordinary mathematics questions, but the main ones were linear programming, random processes, and differential equations.
This is normal, these problems are all related to modeling.
"It's okay. I have studied some of these topics. I can talk about my own thoughts."
"Also, did you bring a pen? Let me tell you."
After reading the question, Xu Chuan also breathed a sigh of relief. He had not learned much about modeling in depth, but only had a rough understanding of it. Fortunately, he could understand and answer the mathematical problems in his notebook, otherwise It's embarrassing.
"Yes, yes."
Liu Jiaxin nodded quickly, took out a ballpoint pen from her schoolbag and handed it to him. Xu Chuan took the ballpoint pen, turned to a blank page of his notebook, copied the previous first question, and then began to explain.
"This small question is expanded from the previous big question. It is an expansion of Model 2 and requires a dynamic description of the model."
"But don't be scared by the dynamic model. It sounds very complicated, but in fact its foundation is to build a differential equation model and let your model change with time t, according to the second question"
"."
"Because we need to analyze the sensitivity of rapid fluctuations, we cannot simply look at the pictures. My analysis idea is to set the environment-related parameters in the differential equation as fluctuating variables, such as the humidity of the environment, and then evaluate the impact of each stage on Susceptibility to fluctuations.”
"Its differential equation can be simplified to"
While explaining, Xu Chuan wrote down his core understanding, judgment process and corresponding simplified differential equations in his notebook.
The requirements for mathematical knowledge in the college student modeling competition are far less high than those in the college student mathematics competition. Generally speaking, it is enough to master the basic mathematical knowledge necessary for modeling, such as advanced mathematics, calculus, etc.
However, it requires mastering more computer knowledge and mathematical algorithms, such as Monte Carlo algorithms, graph theory algorithms, data fitting, parameter estimation, interpolation and other data processing algorithms
The learning difficulty is not much lower than pure mathematics.
Because mathematical modeling is a very creative and challenging activity compared to pure mathematics, it is impossible to use some rules and regulations to specify how to specifically build a model for various models.
It involves two aspects, first, converting practical problems into theoretical models; second, calculating and analyzing theoretical models.
In terms of practicality, mathematical modeling is much higher than pure mathematics.
On the side, as Xu Chuan explained, Liu Jiaxin's eyes gradually brightened, and the shackles that had held her back in her mind quickly collapsed as the ballpoint pens circulated on the notebook.
Occasionally, he would follow Xu Chuan's explanation and ask one or two questions. After waiting for accurate answers and affirmations, his eyes would become brighter.
"I said you are such an interesting little couple. Other couples who come to dinner are just loving each other and showing off their affection. It would be better for you to study mathematics here."
Suddenly, a middle-aged woman's teasing voice sounded in their ears with a smile.
She just noticed this young man and woman, they must be students from Nanjing University across the street. The girl came in and read with her book in her arms. When the boy came in, she thought the girl was going to put down the book, but the boy also came over and took it as a joke. The classroom library began to explain the questions.
This is really interesting. She has been working in Xiaoxianzhuang for several years and has never seen anything like this.
Hearing the sound, Xu Chuan raised his head and saw a middle-aged woman standing by the table holding a dinner plate and placing the food on the table one by one.
On the other side, Liu Jiaxin's face turned red to her ears when she heard the teasing, and her head couldn't stop lowering, almost to the point of her chest.
After being stunned for a moment, Xu Chuan felt a little embarrassed. He coughed and said, "You misunderstood, we are just classmates."
The middle-aged woman smiled and shook her head, but did not continue: "Your dishes are ready, please confirm."
The waiter left. Xu Chuan glanced at his senior sister and said, "Well, let's eat first. I'll explain the rest of the issues to you after we get back to school."
(End of chapter)