Rule department scholar

"Call me Teacher Qian! Zhao! Yi! Same! Student!"

Qian Hong emphasized.

Zhao Yi smiled and pointed at himself, "Your cause Zhao Weiguo is my senior brother, so you should call me senior uncle."

"You, uncle? Stop teasing!"

"Respect your teacher!"

"Little brat!"

"Please teach my uncle!"

"are you mad at me!"

Qian Hong grabbed her hair regardless of her appearance, feeling like she was going to be blown out of anger.

Chapter 126 I actually proved the Kakutani conjecture?

Hearing Luo Zhijin's powerful words, Zhao Yi thought 'Hemen' was a big 'school', but in fact, 'Hemen' was very small, and it was just a name for 'play entertainment'.

He Mingcheng has been doing research all his life, so it is impossible to have too much time to lead students.

He only accepted a student in a few years, but he was moved by seeing a good seedling, and the training was only to give instructions on learning, that is, to tell the student what to learn.

For example, Yuan Zhongchen.

When Yuan Zhongchen was a freshman at Yanhua University, he met He Mingcheng in the library. The two talked for a while, and He Mingcheng found Yuan Zhongchen's unique insights, which were almost equivalent to "seeing the right eye", so he instructed Yuan Zhongchen what to learn .

Yuan Zhongchen left Yanhua University after graduating from university.

He Mingcheng felt that Yuan Zhongchen was the most proud student. In fact, he took Yuan Zhongchen with him for more than three years, and he only told him what books to read, and answered questions he didn't understand. He didn't ask Yuan Zhongchen what to do after graduation.

"Hemen" is a name earned by students.

Seven years ago, when He Mingcheng’s student, Ying Huaguo, won an international award for his research, he said, “I would like to thank my teacher He Mingcheng! My doctorate was obtained in the United States, but He Ming Cheng is my most respected teacher, and I will always be a 'Hemen disciple'."

This is the origin of "Disciples of Hemen".

Everyone else referred to He Mingcheng's students as "Hemen's disciples", but no more than ten of them could be counted from one person's head.

The so-called "capable" is nothing more than a researcher, professor, doctoral supervisor or the like.

Academicians don't have to think about it.

He Mingcheng has done research all his life, but he didn't come up with a single academician rating.

These have nothing to do with Zhao Yi.

That night Zhao Yi returned to the hotel, went through the thesis proof process carefully, and was going to give a real speech tomorrow, and all the people who came to listen to the lecture were big bosses, so he was a little nervous.

that seems to be...

Graduation projects and thesis are about to undergo rigorous defense and review!

Zhao Yi got up very early the next day.

In the morning, I went through the content of the thesis again, and after looking carefully, I found that there was nothing wrong with it, so I was in the mood to go out for a walk.

The presentation is at two o'clock in the afternoon.

When the time came to noon, many people came to Yanhua University. Many people gathered downstairs for graduate students, many of them were top computer professionals, and some professors of mathematics and physics also came. A computer algorithm, Another reason for attracting so many people is 'popularity'.

If it is a very professional computer algorithm, it can only attract people in the computer industry. People from other disciplines may not be able to understand it, nor do they know what it is useful for.

'Significant vs. don't care carry filter' is different.

The "screening method" is summed up in the process of solving the Rubik's Cube calculation problem, and the Rubik's Cube calculation problem does not require professionals at all, just find a junior high school student, or even a primary school student can understand the meaning.

When a seemingly simple problem becomes a difficult problem in the world, more people will definitely pay attention.

So the people who came were a little mixed.

When the time came around one o'clock, Zhao Yi also came to the postgraduate building. In order to avoid unnecessary troubles, he was taken into a small room in the conference room by Xu Chao, and he focused on preparing his speech seriously.

two o'clock.

Conference rooms are full.

Zhao Yi walked into the venue on time, and the cameras on both sides pointed at him. He had a light smile on his face, with a relaxed and natural expression. Then he controlled the computer, opened the prepared PPT, and started according to the planned content. speech.

In fact, this is no different from giving a speech with lines. It is to prove the derivation process in detail.

It should have ended smoothly all the time, but it was wrong when I asked questions halfway.

There is a professor named Li Yilai who always asks tricky and weird questions, and he keeps asking about the steps related to university mathematics and theorems in the process.

Zhao Yi answered very easily.

After knowing some proof theorems and results, "Contact Rate" can help him easily solve the process. He talks freely on stage, the more he speaks, the more confident he becomes, which makes Li Yi even angrier.

There is also a reason for Li Yilai to pick faults.

His research project is an algorithm related to 'data mining', but there has been no progress in two or three years, and finally some progress has been made. He is planning to publish a paper related to optimization algorithms and intends to apply for some research funding.

The thesis is done.

In his optimization algorithm paper, the examples given are related to the calculation of the Rubik's Cube. It also stated that using his algorithm can greatly simplify the amount of calculation. As long as we continue to study in depth, we can find the most concise algorithm to solve the Rubik's Cube.

At this time the Rubik's cube calculator appeared.

Li Yilai felt his face being slapped, and he was so angry that he almost smashed the computer. Thinking about not being able to apply for funding, a computer is also very valuable, so he was still reluctant to smash it in the end.

of course.

The most important thing is that hard work has become useless.

The most fearful thing in the field of scientific research is that the research direction is the same, and the same direction will lead to the research of one party becoming useless.

Li Yilai lost at the hands of a high school student, and it is conceivable that he felt aggrieved. He had no way to express it, and he had to be thankful that the paper had not been submitted or published, otherwise it would have been a joke.

Seeing the young high school students on the stage now, and everyone else's face is 'formidable for young people', Li Yilai only felt depressed and vomited blood.

"Effective and irrelevant carry screening" is not easy to prove. It needs time for people to digest and understand halfway, and will also give opportunities to ask questions.

Li Yilai kept asking questions.

Li Yilai specializes in algorithm research, and his ability is quite good. After asking a few times, he suddenly frowned, and then raised his hand to ask again.

Everyone else can't see it anymore--

"This Li Yilai is shameless!"

"Why do you make things difficult for a student? What he asks is very obvious and shouldn't be asked at all."

"Old shameless!"

Professor He Mingcheng sat in the middle of the first row. He not only listened carefully, but also took notes with his head down. He found that Li Yilai always interrupted and asked some ridiculous questions, so he couldn't help frowning.

Li Yilai still spoke out, and he pointed out a real problem, "Student Zhao Yi, I noticed your proof process just now, saying that all possible situations, after being analyzed and judged, will be classified as number one, that is, only The next possibility."

"This process is not rigorous. You used a few algebraic theorems, but in the final summary, you got the result directly."

"If your proof process is correct, doesn't it mean you have proved the Kakutani conjecture?"

After Li Yi said it, he sat down a little proudly.

The venue was suddenly quiet.

Everyone was discussing the process just now, because the process was a bit complicated and brain-wrenching, part of Zhao Yi demonstrated and explained it with a computer method, and others didn't notice it.

Li Yilai reminded everyone, and everyone noticed immediately.

The Kakutani Conjecture, also known as the Hail Conjecture, is a mathematical conjecture. Say a positive integer x, if it is an odd number, multiply it by 3 and add 1, if it is an even number, then extract the even factor 2?, so that after several times, it will eventually be back to 1.

Many people have claimed to have proved the Kakutani conjecture, and published a series of papers. In fact, there is no 'recognized rigorous' proof process so far.

So the conjecture is still just a conjecture, not a theorem that can be directly applied.

In Zhao Yi's proof process, he used computer to demonstrate and explain. It seemed that the process was very rigorous, but he used the content of "Kuoya Conjecture".

This is not wrong.

Li Yilai's proof step is to analyze and judge each possibility when the number is infinite. When applied to the Rubik's Cube, there are only 27 twisting situations at most.

According to the research of mathematicians in Japan and the United States, all positive integers less than 7x10^11 conform to the law of Kakutani's conjecture. If the number is greater than 7x10^11, it is almost a theoretical number. The computer wants to judge and analyze it one by one. It's very difficult.

Also, computers and mathematics are different.

Mathematics needs the most rigorous proof, and theoretical numbers also need proof. The ultimate goal of computer algorithms is to output correct results.

Even if there is a little flaw, the "effective and irrelevant carry screening method" is already a perfect algorithm in the field of computer algorithms and can be directly used.

Using mathematical thinking to explain that there is a problem can be regarded as "picking bones in the egg".

There was a lot of discussion at the meeting.

Most people admit that Li Yilai's problem does exist, but Zhao Yi's proof process is completely fine under the existing computer performance, and the most important thing about computer algorithms is that they can output results, which can be applied in practice more than theory. important.

If the result is correct, the algorithm can be applied.

that's enough.

On the stage.

Zhao Yi stared at the process on the screen, constantly thinking about what Li Yilai questioned.

Kakutani conjecture?

It seems so!

If the proof process is correct, wouldn't it also show that Kakutani's conjecture is correct, and vice versa is incorrect.

But definitely 100% correct!

Zhao Yi is quite confident that "Contact Rate" will not lie, he fully understands the proof process, and the "Jiaogu conjecture" is just a conjecture, not an inherent formula, theorem, and definitely not a "prerequisite" used in "Contact Rate" condition'.

and so……

Zhao Yu had 5 minutes to think quietly.

Everyone in the audience thought he had been hit. Professor Luo Zhijin came over to comfort him, telling him that computers are different from mathematics, and ignore Li Yilai's nonsense of "picking bones".

At this time Zhao Yi raised his head, looked at Li Yilai seriously, then simply stood up, and walked in front of Li Yilai.

Others made way.

"Hold him!" Someone suddenly yelled, "Don't let him hit someone! This young man is not good!"

"hurry up!"

"Professor Li, be careful!"

Hearing the shout, Li Yilai pushed back a step in fright, but there was no way to retreat to the chair behind him. He was over 50 years old, and his body was far from robust, but he couldn't resist the young man's punch.

Zhao Yi finally made a move.

He grabbed Li Yilai's hand excitedly, and said very seriously, "Thank you! Professor Li! Thank you! I really appreciate it."

"what?"

Li Yilai was a little confused.

Zhao Yi took a deep breath and said, "If you hadn't reminded me, I wouldn't have discovered it, but I actually proved Kakutani's conjecture!"

Chapter 127 This is... a eunuch?

One day in 1976, the front page of the "Washington Post" reported a piece of mathematics news.

The article narrates such a story: in the mid-70s, in the campuses of famous universities in the United States, people were crazy, playing a mathematical game day and night, forgetting to eat and sleep.This game is very simple: write a natural number N (N≠0) arbitrarily, and transform it according to the following rules:

If it is an odd number, the next step becomes 3N+1.

If it is an even number, the next step becomes N/2.

Not only students, but even teachers, researchers, professors and academics have joined.

Why is this game's enduring fascination?Because people found that no matter what kind of non-zero natural number N is, it cannot escape back to the bottom 1 in the end.To be precise, it is impossible to escape the 4-2-1 cycle of falling into the bottom, and it will never escape such a fate.

Everyone can start from any positive integer and perform the following operations continuously. If it is an odd number, multiply the number by 3 and add 1; if it is an even number, divide the number by 2.

This calculation continues until the first time 1 is obtained.

Does every positive integer get 1 if calculated according to such rules?This is Sygura's conjecture, also known as "Hail conjecture, Kakutani conjecture", including the later Kratz problem, which is an interesting '3X+1' problem in mathematics.

Overseas like to call the '3X+1' problem the Sygura conjecture or the hail conjecture, while in China it is called the 'Kuoya conjecture', because it was a person named Kakuya who spread the problem to China.

This question sounds simple, but it is not easy to prove it.