After leaving the classroom, Chen Zhou went straight to the library.

Yang Yiyi is still waiting for him in the library.

The algebra discussion class starts at 6:30 pm, and it's only 9 o'clock, and there's still some time before the library closes.

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

It has to be said that Yanda’s library is still crowded at this time.

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

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

There is also an empty seat next to Yang Yiyi, with some books on it.

There is a book that is open with a pen inside.

When he walked to Yang Yiyi, Chen Zhou did not disturb him, but stretched out his head and took a look.

Yang Yiyi is flipping through the relevant documents on her mechanics topic.

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

Generally speaking, mechanics research methods follow the basic rules of epistemology, that is, from practice to theory, and then return to practice.

Unlike pure mathematics research, physics research is usually based on experiments.

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

Or, design scientific experiments for specific theories and verify and improve the theory based on the analysis of experimental results.

Of course, there are also those who do not study physical theories through ordinary experiments.

That is theoretical physics.

The commonly used experimental method in theoretical physics is ideal experiments. In layman's terms, it is to do experiments in the brain, also known as thought experiments.

The outstanding master in this field is Einstein.

Maybe Yang Yiyi and his team’s topics are also in the category of theoretical physics?

Chen Zhou, who was thinking about this, did not intend to ask more questions. He believed in Yang Yiyi's ability and judgment.

Just as Yang Yiyi would not interfere in his subjects, he would not actively interfere in Yang Yiyi's subjects until Yang Yiyi asked about his opinions.

He looked at Yang Yiyi, who was focusing on studying literature, and Chen Zhou gently pulled open the chair beside him and sat down.

Just as Chen Zhou prepared the books on the table, he heard Yang Yiyi's voice: "Sorry, someone has sat here, he went to the bathroom."

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

It turned out that these books were deliberately placed like this in order to occupy a seat.

Seeing that the person beside him did not move, Yang Yiyi turned her head slightly. As soon as she was about to say it again, she saw Chen Zhou looking at her with a smile on her face.

Yang Yiyi said angrily: "Why don't you tell me when you come? I thought I was here to grab a seat again."

Chen Zhou explained: "I was fascinated by you, so I didn't bother you. Are there many people coming to grab seats?"

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

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

"Yeah." Yang Yiyi replied, paused, and she added, "Someone asked, I said you have diarrhea and probably won't get out of the toilet."

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

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

"Ahem!"

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

Yang Yiyi understood and turned around and continued to write her own documents.

Chen Zhou looked at the source of the cough and couldn't help but wonder, why is this person every time?

Withdrew his gaze, he took out the draft paper and began to sort out the ideas for this small class.

Zhang Zhongyuan actually just took a group of students to appreciate the charm of the hail conjecture and did not provide any pioneering ideas.

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

However, this class mobilized Chen Zhou's curiosity.

Maybe it’s not bad to use the hail conjecture as a new research topic?

Chen Zhou spent ten minutes to summarize and organize it.

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

"A simple math game?"

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

Although from a formal point of view, the final calculation result of the hail conjecture is 1.

But this is just a more convenient statement.

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

Of course, this is just a conclusion.

If you want to reverse it, it is impossible.

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

Take out a new piece of draft paper and calculate it again.

This time, he changed the rules of the game.

Chen Zhou changed the calculation rule of the hail conjecture to give a natural number n arbitrarily. If it is an even number, divide it by 2. If it is an odd number, multiply it by 3 and subtract 1.

After some calculations, Chen Zhou discovered an interesting phenomenon.

The calculation results under this rule will appear in three forms of loops.

The first is the 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".

That means that once the three numbers 1, 5, and 17 are calculated, it will enter the loop.

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

In fact, it is not just 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 far from enough to verify the hail conjecture through mathematical methods.

When Chen Zhou was about to take out his computer from his backpack, the library was about to close.

Chen Zhou installed the computer in disappointment. He originally planned to come over and sort out his ideas, and finally decide whether he really wanted to study the hail conjecture as a topic.

As a result, it fell into a math game.

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

As expected, the games are all addictive.

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

However, Chen Zhou also set limits for himself.

If this summer vacation, during Huairou's military training, he has not yet achieved satisfactory results.

Then he must give up decisively and choose a simpler topic again.

After all, time waits for no one.

Not to mention, he will have double graduation thesis in the Department of Mathematics and Physics next year.

The time limit for system tasks alone is there.

He can't give up the rewards for system tasks in vain, right?
Chapter completed!