Chapter 184

When they saw this question, many people in the classroom were dumbfounded.

Can a boy chasing a girl also be simulated through mathematical modeling?

Everyone pondered for a while, and then found that it didn't seem impossible!

As long as the parameters are set and the model is built, it is not necessarily impossible to simulate the process of men chasing women.

This problem, although at first glance, is outside the scope of the regular modeling problem.

But if you think about it, with mathematical thinking, it can easily be turned into a mathematical modeling problem.

Everyone was instantly interested in Gu Lu's question, and then began to discuss it in a low voice.

Gu Lu stood on the podium, supporting the podium with both hands, and looked at everyone in the audience with a smile.

"You don't need to be too rigorous, you can play as you like, it doesn't matter if you don't finish it, two hours, you can submit the model to that level. ”

"By the way, any of you have a computer that you have any extra computers, I will do it with you on the podium, and the screen will be projected onto the screen, you can refer to it. ”

Gu Lu's words fell, and a boy in the front row walked quickly to the podium with a laptop and put it on the lectern.

Gu Lu nodded, "Thank you." ”

Then, Gu Lu plugged in the power supply, connected the projector, and moved a chair to sit down.

Under the gaze of nearly half of the students in the classroom, Gu Lu sat on a chair, controlled the mouse with his right hand, and opened a word document.

Originally, the first part of the problem analysis and model assumptions was done on scratch paper.

Just to let the students in the audience see it really, Gu Lu typed the modeling ideas in the document from beginning to end.

The difficulty coefficient of Gu Lu's question is not large, and it can even be described as simple.

and those questions of the national and American competitions, it is not the same difficulty gradient.

In the face of Gu Lu, who is comfortable with those competition questions, the whole derivation process is naturally extremely smooth.

First, there are the assumed parameters.

What do boys rely on to pursue girls?

Or, to put it another way, what is it about girls that attracts boys?

Gu Lu divides it into three aspects: talent, appearance and wealth!

These are the three parameters set by Gu Lu.

Moreover, these three parameters are directly proportional to the value of attraction to girls.

Gu Lu started his research with talent.

Boys chase girls, and the most important thing for boys is to study and love. Therefore, Gu Lu introduced the academic performance function Y(t) of male students.

Regardless of the boys' pursuit offensive, the main factor affecting this function is the degree of relationship between the two people. In order to facilitate the analysis, the relationship between the two is reduced to the distance between the girl and the boy, and the distance function X(t) is introduced.

Obviously, the problem translates into solving for the interaction between Y(t) and X(t). With the use of differentiation, it is easy to find the relationship between the two. However, in reality, a boy may launch a pursuit offensive against the girl, so it is also necessary to consider the impact of the pursuit offensive on the model.

At this point, the problem analysis phase is complete.

Then there's the model assumptions.

Based on the Malthus model, Gu Lu builds a mathematical model of the relationship between girls' alienation from boys and boys' academic performance at time t.

After the boy initiates the pursuit of the girl, it is immediately transformed into the girl's favor for the boy, and the conversion coefficient is set to α, and as the boy initiates the pursuit of the girl, the boy's academic decline rate is proportional to the academic performance, and the proportion coefficient is e, so there is dY(t)/dt=αbX(t)Y(t)-eY(t).

Gu Lu exited the word interface and opened the Matlab software on the computer.

MATLAB, the most commonly used mathematical modeling programming software, can perform matrix operations, draw functions and data, implement algorithms, create user interfaces, and connect programs in other programming languages.

This is an essential piece of software on every modeler's computer.

After opening the software, Gu Lu directly opened the programming interface, and his ten fingers tapped quickly on the keyboard, and lines of code appeared on the screen.

In the audience, a kind of students were surprised by Gu Lu's operation.

For them, mathematical modeling for a problem can only be completed by the cooperation of three people, and all of them are indispensable.

However, looking at the current appearance of Teacher Gu, it is to prepare one person to complete the workload of three people.

Moreover, even if Gu Lu completed the workload of three people by himself, in terms of speed, he was not a little faster than all of them.

This is a kind of crushing of strength.

Originally, when they heard that Gu Lu was going to do it with them, many people had the idea of competing with Gu Lu and competing for time.

By the way, you can also test the strength of this new competition coach.

But now, everyone has extinguished the idea of competing with Gu Lu.

Because the results are already obvious.

This new tutor is indeed strong.

With so many teams present, even if there are three people together, they may not be the perfect enemy of this teacher.

Thinking like this, everyone no longer observed Gu Lu's progress on the stage, but began their own modeling work.

Some teams used Gu Lu's answers as a reference to build models.

And there are other teams, who don't want to fall into clichés, and start to find another way to make assumptions and build models.

In the classroom, it became extremely lively for a while.

There was the snapping of fingers on the keyboard, and likewise, the sound of heated discussions within the ranks.

And the model of each team is improving little by little over time.

Ten minutes later......

Gu Lu on the podium moved his fingers, recorded the data from the model run, and deduced it from the formula.

At this point, Gu Lu has completed all the mathematical models of the talent part and the data calculated.

On one page of the paper, Gu Lu wrote down the conclusions he had drawn through the data of the model's calculations.

Sometimes, through slow contact, slow understanding, and appropriate pursuit actions, the alienation of girls will slowly decrease, and their academic performance will not be reduced!

Also, when your grades drop to a certain level, you must make a decision immediately. Because you have to believe that some girls can't be chased, and if you don't believe that you chase any of the twins, you will never be able to chase them. But how good or bad you are studying is directly proportional to the success rate of your pursuit of girls.

So you have reason to believe that you can catch up with what you like, as long as you work hard. Of course, this is to say that when a girl is alienated from you, she doesn't study hard, unless you have deformation surgery, it will not be a good thing!

Belch...... The results were brutal, but realistic.

Gu Lu closed this document and started another parameter, that is, the modeling research of appearance on boys chasing girls.

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