Xueba's life simulator

Chapter 179 The Collats Conjecture

These conjectures, hypotheses and other topics listed in the life simulator are all famous world-class problems in the mathematics field. If you can solve one of the conjectures, you can get the title of mathematics master.

The mission of the simulator this time is very obvious, that is, Zhou Ming is now a master of mathematics, but he cannot be regarded as a real master if he is the master alone, and he needs to cultivate at least one master of mathematics.

However, if it is really impossible to train a master, then the life simulator also gave Zhou Ming another choice, which is to solve three math problems with the students.

After carefully looking at the tasks that need to be completed in the next use of the life simulator, Zhou Ming switched back to the previous simulation experience and read the previous text simulation experience again.

The third perspective is only useful for the first simulation and when you choose to keep the experience after the simulation. You cannot use the third perspective to simulate after the simulation is over. You can only see the lines of text.

Finally, when he put away the panel of the life simulator, Zhou Ming let out a long breath. He looked at the time and found that it was already noon before he knew it.

Looking out the window, the sun in the sky was already hanging in the sky at this time, and the sun was scorching hot outside.

After Zhou Ming went out for a meal, he didn't go back to his room directly, but went to the school to see how their experiments were going.

Because there was no mission requirement for the life simulator, Zhou Ming didn't spend his time reading books as much as before, but spent his time on other places.

Zhou Ming has a lot of things to do now. Although he has completed a series of projects such as artificially synthesized starch, artificially synthesized glucose, and artificially synthesized fatty acids, there is still a long way to go for artificially synthesized food.

Although most of the time Zhou Ming was the one who handed over the experiment to his research group, he still needed to worry about it. It was impossible for him to be the shopkeeper and leave nothing behind.

In addition to artificially synthesizing food, Zhou Ming was also arranged for a space synthetic biology research project when he went to the capital to participate in the "Ten Thousand Talents Program" outstanding talent symposium and the 531 meeting at the end of May.

More than a month has passed since that meeting. Zhou Ming also transferred some people from the previous team to the scientist's studio, but he also needs manpower on the artificial food side, and it is impossible to get all the people there. They were transferred, so Zhou Ming recruited some more staff.

In this regard, he also needs to spend energy.

And in a few days, the summer camp of the School of Life Sciences of the University of Science and Technology will start. Zhou Ming also needs to decide what kind of topics he will find for his future graduate students.

After going around the school laboratory, Zhou Ming returned to his office.

Since the school is now on holiday, the only ones staying at the school are some administrative staff who need to be on duty, which makes the number of people in the school much less than usual.

Originally, Zhou Ming wanted to go to the School of Mathematics on the East Campus to find Dean Li Mingzhi and talk to him about the direction he wanted to pursue as a graduate student in mathematics.

However, Li Mingzhi was not in school right now, so Zhou Ming did not make a special trip to the east campus. On this hot day, it was quite hot to go there.

As for the School of Life Sciences, Zhou Ming was not going to tell them.

On the side of the Academy of Sciences, Li Mingzhi is more concerned about this matter, and the relationship between Li Zhizhi and Zhou Ming is better than that between Zhou Ming and those people in the Academy of Life Sciences. Zhou Ming will go to him and tell him, otherwise Zhou Ming will not will say.

After returning to the office, Zhou Ming took out his mobile phone and called Li Mingzhi.

"Hey, Xiao Zhou, why did you think of calling me again? Are you planning to do something?"

When Li Mingzhi opened his mouth, he was talking about this aspect, but he guessed right this time.

"Yes, Dean Li, I have thought of a topic for the students to complete, and the one I chose is the Coraz conjecture."

Zhou Ming said to Li Mingzhi.

"Collats conjecture?"

Li Mingzhi originally wanted to ask Zhou Ming why he thought of letting his future students waste time on this conjecture.

However, when he finished "Collaz's conjecture" in a questioning tone, he thought again, thinking of Zhou Ming's various acts against the sky in the past year, he didn't say this sentence, save After saying it, he was slapped in the face again.

If other people say so, Li Zhizhi will definitely persuade them not to let the students waste time on this conjecture. If the tutor wants to study this problem, Li Zhizhi will also persuade him to think about it again. consider.

But Zhou Ming is a person who has created many miracles, even himself a miracle.

Now that Zhou Ming clearly called him and made such a decision, Li Mingzhi no longer felt speechless like last time. Instead, he felt that Zhou Ming might really be able to let his students solve this problem.

After all, since Zhou Ming has such a high talent in biology, mathematics, and artificial intelligence, and can achieve results, and even knows a lot about physics, it seems that he is talented in teaching. Isn't it such an unacceptable thing?

The reason why Li Mingzhi came up with the idea not to waste time on this conjecture when Zhou Ming said this was because he knew a lot about the Collats conjecture.

There are many names for the Collats conjecture, and it is also known as the odd-even normalization conjecture, 3n+1 conjecture, hail conjecture, Kakutani conjecture, Hasse conjecture, Ulam conjecture or Syracuse conjecture.

Its specific content means that for each positive integer, if it is an odd number, multiply it by 3 and add 1, if it is an even number, divide it by 2, and so on, and finally get 1.

In other words, it will eventually flow into the 4-2-1 cycle, just like the fate that everything is arranged in the dark, and it will never escape.

For example, if you use any number to calculate, just use the number 7 to calculate.

Since 7 is an odd number, you need to multiply by 3 and add 1 to get 22.

Since 22 is even, you need to divide by 2 to get 11.

而11又变为了和7一样的奇数，所以它就需要乘以3再加上1，等到34。

之后，因为34是偶数，所以便除以2，等到奇数17，奇数17又乘以3加上1等到偶数52，偶数52除以2变为偶数26，偶数26除以2变为奇数13。

之后13变为40，40变为20，20变为10，10变为5，5又变为16，16又能变到8，8变到4，4变到2，2变到1。

After that, if you continue to count, 1 times 3 plus 1 equals 4, and 4 becomes 2, and then becomes 1.

If you choose the number 6, according to the above calculation method, the resulting sequence is 6, 3, 10, 5, 16, 8, 4, 2, 1.

If the initial number is 11, this results in the sequence 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1.

Now, does this conjecture hold for all positive integers, or is there a counterexample on the way to infinity?

This needs to be proved mathematically.

It cannot be said that because of the advanced information technology, no counter-example can be found in a large range by computer calculation, but it must meet all positive integers.

In the eyes of Li Zhizhi in the past, although this conjecture looks quite simple, but if he wants to prove it, I am afraid that no mathematician can do it in his lifetime.

After all, as early as the 1930s, a student at the University of Hamburg in Germany, Koraz, had studied this conjecture.

Since the 50s, this conjecture has been widely circulated in the international mathematics community, and people have always wanted to prove this conjecture thoroughly.

But it has been almost 100 years, and no one can prove this conjecture, and no one can give a counterexample to refute that it does not apply to all positive integers.

However, since the dark horse Zhou Ming was born last year, he has created many miracles.

Since Zhou Ming's name became known to the world, Li Mingzhi's thoughts have also changed. Now he feels that as long as Zhou Ming is around, it is possible for him to see anything in his lifetime.

Even if you tell Li Zhizhi that Zhou Ming invented and designed a controllable nuclear fusion technology that can be used and is economical, Li Zhizhi will probably believe it.

Even if Zhou Ming had never shown his talent in this area before, this incident happened to him, and it was something that Li Mingzhi could accept.

"Okay, do you want to write this on your personal introduction?"

Li Mingzhi told Zhou Ming that the personal introduction he mentioned was the official website of Huaguo University of Science and Technology, the official website of the School of Life Sciences of the University of Science and Technology, and the official website of the School of Mathematical Sciences of the University of Science and Technology, which was specifically about the introduction of doctoral supervisors.

On the official website of Huaguo University of Science and Technology, there will be a page dedicated to introducing doctoral supervisors. Click on it to see the names of doctoral supervisors in each first-level and second-level discipline.

Click on the name of the tutor you want to know, and you will be able to jump to the page dedicated to this tutor.

It clearly states the unit or college where the tutor is located, and writes the tutor's research direction, enrollment information, and personal resume. In addition, some tutors even include his laboratory introduction and phone number in the introduction.

This information is enough for the students to have a general understanding of this teacher.

On the official websites of the School of Mathematical Sciences and the School of Life Sciences of HKUST, there are also pages dedicated to introducing each tutor.

The reason why the school's official website and the official websites of each college have a page introducing tutors is to make it easy for students who want to apply for postgraduate entrance examinations to find relevant information.

"That's not necessary. They may have more than one topic to study. At that time, whether it's a summer camp or an interview after the unified examination, I will talk about it before accepting them anyway.

Besides, this is not difficult, just a guess. "

Zhou Ming explained, and finally added a very flat sentence.

Anyway, there are so many math problems given by the life simulator, if you meet someone who is very talented in other fields of mathematics, Zhou Ming can change the subject for him.

If Li Mingzhi wrote this on Zhou Ming's personal introduction, it would be difficult to change it later.

The field of mathematics is very, very broad. If you are a master in the field of geometry, then you are probably not very good at probability theory.

Or maybe you're good at topology, but maybe not so good at number theory.

Of course, the proficiency mentioned here does not mean that you can't, but that your aspect is not that good compared to your strongest aspect.

Zhou Ming is probably the only person who can master almost all fields of mathematics. After all, he is cheating.

Although Li Mingzhi didn't know why Zhou Ming didn't add the enrollment information since he had confirmed it, he felt that Zhou Ming must have his own ideas in doing so, so he didn't ask any more questions.

But Zhou Ming's last sentence, Li Mingzhi also complained: "What you said is simple, you may want them to study more than this one topic, you don't really want them to study those various conjectures, do you?

The reason why these conjectures have always been called conjectures is because no one has been able to prove them for decades or even hundreds of years.

If it were as simple as you say, these conjectures would no longer be called conjectures, but theorems.

Besides, if everyone was as smart as you, you wouldn't be as famous as you are now.

Let me tell you, since you insist on giving them those difficult subjects, then you have to find a way to make them graduate, but you can't let them never graduate. "

"Understood, don't worry about it.

In fact, there are some conjectures. Some of the methods I used to solve the twin prime conjecture and Goldbach's conjecture can be used.

However, I think it has been almost half a year since I solved Goldbach's conjecture. No one has used my methods to solve other conjectures. These methods of mine are spread out. "

Zhou Ming explained to Li Mingzhi that when he gave an academic report on proving Goldbach's conjecture, one of his goals was to let these world-renowned mathematicians spread his new methods.

After all, the new methods used by Zhou Ming will be improved and created by mathematicians from all over the world in the next few decades.

Once this method spreads, it will be more significant than Zhou Ming's proof of several mathematical conjectures. It can be said that it has directly pushed the development of world mathematics forward for at least 20 years.

"Your methods are still useful in this way?" Li Mingzhi immediately became interested when he heard what Zhou Ming said, but soon he heard another meaning from Zhou Ming's words, and said to Zhou Ming, " In other words, you can actually use the methods you used before to prove some mathematical conjectures?"

"Um..." Seeing that he had slipped his tongue, Zhou Ming simply said, "It can solve some other mathematical conjectures, but they are all conjectures that are not challenging."

No challenging guesses?

Listening to Zhou Ming's tone, Li Mingzhi seemed to have the arrogance of "I am the biggest in the world", and he was not as indifferent to fame and fortune as they thought before.

However, Zhou Ming could indeed bear this arrogance.

Moreover, this kind of arrogance does not conflict with the indifference to worldly fame and fortune in pursuing higher peaks academically.

Li Mingzhi thought so in his heart.

"No wonder you are so confident. Are you going to arrange these conjectures for your future graduate students? If they can't solve them in the end, you can give them some hints yourself? The Collats conjecture can also be used to prove the twin prime number conjecture and Goethe The method of Bach's conjecture proved?"

Li Mingzhi asked Zhou Ming again.

(End of this chapter)