Coming out of the classroom, Chen Zhou went straight to the library.

Yang Yiyi was still waiting for him in the library.

The algebra seminar class started at 6:30 p.m., and it was only 9 o'clock, a little before the library closed.

Chen Zhou happened to go to the library to sort out his thoughts again.

It has to be said that the library of Yan University is still overcrowded at this time.

Chen Zhou followed the route of the past and shuttled deftly through the self-study area.

After a while, I saw Yang Yiyi who was looking down and reading a book.

There was also an empty seat next to Yang Yiyi, on which were some books.

One was open with a pen in it.

Walking to Yang Yiyi's side, Chen Zhou didn't bother him, but stretched out his head to take a look.

Yang Yiyi is flipping through the literature on her mechanics topic.

Chen Zhou was very strange that he had never seen Yang Yiyi take out the experimental data and process it.

Generally speaking, the research method of mechanics follows the basic law of epistemology, that is, from practice to theory and back to practice.

Unlike the study of pure mathematics, the study of physics is usually based on experiments.

Through the observation of experimental phenomena and the results of quantitative observations, the qualitative relationship between quantities and quantities is extracted.

Or, to design scientific experiments for a specific theory, and to verify and refine the theory based on the analysis of the experimental results.

Of course, there are also those who study physical theories without ordinary experiments.

That's theoretical physics.

The experimental method commonly used in theoretical physics is the ideal experiment, which is to do experiments in the brain, also known as thought experiments.

The great master of this is Albert Einstein.

Maybe Yang Yiyi's topic is also in the category of theoretical physics, right?

Chen Zhou, who was thinking like this, didn't plan to ask more, he believed in Yang Yiyi's ability and judgment.

Just as Yang Yiyi will not interfere with his topic, he will not take the initiative to interfere with Yang Yiyi's topic before Yang Yiyi asks for his opinion.

Glancing at Yang Yiyi, who was concentrating on researching literature, Chen Zhou gently pulled away the chair beside him and sat down.

Just as Chen Zhou was preparing the books on the table, he heard Yang Yiyi's voice: "I'm sorry, someone is sitting here, he went to the toilet." ”

Chen Zhou's movements froze, he glanced at Yang Yiyi, and then at the books on the table, and instantly understood.

It turned out that these books were deliberately put by Yang Yiyi in order to occupy a seat.

Seeing that the person next to her didn't move, Yang Yiyi tilted her head slightly, and just as she was about to say it again, she saw Chen Zhouzheng looking at her with a smile on his face.

Yang Yiyi said angrily: "Why didn't you tell me when you came?" I thought you were here to grab a seat again. ”

Chen Zhou explained: "I saw that you were fascinated, so I didn't bother you. Are there a lot of people coming to grab seats?"

Yang Yiyi nodded slightly: "You are the seventh." ”

Chen Zhou smiled and asked, "Then you told them that I went to the toilet?"

"Hmm. Yang Yiyi replied, paused, and she added, "Someone asked, I said that you have diarrhea, and it is estimated that you will not be able to get out of the toilet." ”

After speaking, Yang Yiyi looked at Chen Zhou with a smile.

Chen Zhou shook his head slightly: "I'm afraid I've eaten ten catties of croton......"

"Ahem!"

Hearing this voice, Chen Zhou immediately raised a finger and made a gesture of silence.

Yang Yiyi understood, turned his head, and continued to brush up on his literature.

Chen Zhou glanced at the source of the coughing sound, and couldn't help but wonder a little, why is it this person every time?

Retracting his gaze, he took out the scratch paper and began to organize his thoughts for this small class.

In fact, Zhang Zhongyuan only took a class of students to appreciate the charm of the hail conjecture, but did not provide any pioneering ideas.

Moreover, the thinking question assigned by Zhang Zhongyuan in the end is just a simple thinking question.

It's just that this lesson has mobilized Chen Zhou's curiosity.

Maybe it would be nice to make the hail conjecture a new research topic?

It took Chen Zhou ten minutes to finish the induction.

Looking at the content written on the scratch paper, Chen Zhou habitually took a pen and pointed at the scratch paper.

"A simple math game?"

Chen Zhou thought as the pen in his hand fell on the scratch paper and began to calculate.

Although formally, the final calculus of the hail conjecture is 1.

But that's just a convenient way to put it.

In fact, whether it is a small class, Chen Zhou or other students' attempts to substitute numbers, the final calculation ends with "4→2→1".

Of course, this is only a conclusion.

If you want to work backwards, it's impossible.

Chen Zhou stopped the pen in his hand and glanced at the scratch paper again, and his eyes suddenly lit up.

Take out a new piece of scratch paper and do the math all over again.

This time, he changed the rules of the game.

Chen Zhou changed the calculus rules of the hail conjecture to arbitrarily give a natural number N, divide it by 2 if it is even, and multiply it by 3 and subtract 1 if it is an odd number.

After some calculations, Chen Zhou discovered an interesting phenomenon.

As a result of this rule, there will be three forms of loops.

The first is a cycle of "1→2→1".

The second is the cycle of "5→14→7→20→10→5".

The third is the cycle of "17→50→25→74→37→110→55→164→82→41→122→61→182→91→272→136→68→34→17".

This means that once the three numbers 1, 5, and 17 are calculated, it enters the loop.

"Interesting......" Chen Zhou muttered to himself.

In fact, not only Chen Zhou, but many mathematicians have done examples of changing the rules like this to make the hail conjecture more interesting.

But in the end, it was just an interesting conclusion.

It is not enough to test the hail conjecture mathematically.

Chen Zhou was about to take the computer out of his backpack when the library was about to close.

Chen Zhou put the computer back in a daze, he originally planned to come over, sort out his thoughts, and then finally decide whether to really study the hail conjecture as a subject.

As a result, they fell into a math game.

Moreover, the more you calculate, the more interesting it becomes......

Sure enough, the games are addictive.

Chen Zhou sighed in his heart, but then, he also decided, I will choose you, hail guess!

However, Chen Zhou also set limits for himself.

If it is this summer, during the Huairou military training, he has not yet received satisfactory results.

Then he had to give up decisively and choose a simpler subject.

After all, time waits for no one.

Not to mention, he still has two graduation theses in the Department of Mathematics and the Department of Physics to complete next year.

The time frame for the system task alone is there.

He can't give up the reward of the system task for nothing, right?

In case the mission is due and he hasn't solved the hail conjecture, isn't it a bamboo basket for water?