Rule system

Chapter 127 I actually proved the Kakutani conjecture?

When Zhao Yi heard what Luo Zhijin said, he thought He Men was a big sect. In fact, He Men was very small and it was just a name for entertainment.

He Mingcheng has been doing research all his life, and it is impossible to spend too much time with students.

He has only accepted a student in a few years, only to see good seedlings' heart, training is only to give instructions on learning, that is, to tell students what to learn.

For example, Yuan Zhongchen.

When Yuan Zhongchen was a freshman in Yanhua University, he met He Mingcheng in the library. The two talked for a while. He Mingcheng discovered that Yuan Zhongchen’s unique insights were almost equal to "seeing the right eye", so he instructed Yuan Zhongchen on what he should learn .

After graduating from University, Yuan Zhongchen left Yanhua University.

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

'He Men' is a name made by students.

Seven years ago, when He Mingcheng’s student, Ying Huaguo, won an international award for his research, he said at the award presentation, “I want 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 the'Hemen disciple'.

Others refer to He Mingcheng's students as "Hemen disciples", but no more than ten can be counted by a single individual, and they can't make much waves together.

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

The academician doesn't need to think about it.

He Mingcheng has done research for a lifetime, and he has not mixed up an academician rating.

These have nothing to do with Zhao Yi.

Zhao Yi returned to the hotel that evening and went through the process of proof of the thesis carefully. He will be on the stage to give a speech tomorrow. All the big guys who come to listen to the lecture are also a little nervous.

That seems to be...

Graduation design, thesis, will soon accept the feeling of strict defense and review!

Zhao Yi got up early the next day.

In the morning, I went through the content of the paper again, and after a closer look, I found that there was nothing wrong, and I was in the mood to go out and go around.

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

When it was noon, many people came to Yanhua University. Many people gathered downstairs after 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, only people in the computer industry can be attracted. People in other disciplines may not be able to understand it or know what it is.

'Valid and irrelevant carry filtering' is different.

The'screening method' is summarized in the process of solving the Rubik's Cube calculation problem, and the Rubik's Cube calculation problem does not require professionals at all. Find a junior high school student or even elementary school students to understand the meaning.

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

So the people who came are also a bit mixed.

When the time came about one point, Zhao Yi also came to the graduate building. In order to reduce unnecessary troubles, he was taken into the small room of the conference room by Xu Chao, and he prepared a speech with all his heart.

Two points.

The meeting room was overcrowded.

Zhao Yi walked into the venue punctually, and the cameras on both sides immediately pointed at him. There was a faint smile on his face, and his expression was relaxed and natural. Then he controlled the computer, opened the prepared PPT, and started according to the planned content. speech.

This is actually the same as giving a speech with lines, just to prove the deduction process in detail.

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

There is a professor named Li Yilai who always asks tricky and weird questions. 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 talked freely on stage, and the more he talked, the more confident he became, which made Li Yi look more angry.

There is a reason why Li Yilai is picking things wrong.

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

The paper is finished.

In his paper on optimization algorithms, the examples cited are related to Rubik's Cube calculations. It also stated that using his algorithm can greatly simplify the amount of calculation. As long as you continue to study in depth, you can find the most concise algorithm for solving Rubik's Cube.

At this time the Rubik's Cube calculator appeared.

Li Yilai felt his face slapped, he almost smashed the computer in anger, thinking about the fact that he couldn't apply for funding, a computer was also very valuable, and he was not willing to smash it in the end.

of course.

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

The most feared thing in the scientific research field is that the research direction is the same, and the same direction will cause the research of one party to become useless.

Li Yilai was defeated in the hands of a high school student. It is conceivable that he was frustrated. He hadn't been able to say it yet. He had to be thankful that the paper had not been submitted or published, otherwise it would be a joke.

Seeing the young high school students on the stage now, everyone else looked "fearful", Li Yilai only felt depressed and vomiting blood.

"Effective and irrelevant carry screening" can not be proved simply. It takes time for people to digest and understand, and also gives an opportunity to ask questions.

Li Yilai kept asking questions.

Li Yilai is a professional algorithm researcher, and his ability is quite good. After asking several questions, he suddenly frowned, and then raised his hand again to ask questions.

Others can't see it--

"This Li Yilai wants a face!"

"What is embarrassing a student, what he asks is obvious, and he shouldn't ask at all."

"Old shameless!"

Professor He Mingcheng sat in the middle of the first row. He not only listened very carefully, but also lowered his head to take notes. He found that Li Yilai always interrupted and asked some ridiculous questions, and he couldn't help but frown.

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

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

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

Li Yi finished speaking and sat down somewhat proudly.

The meeting place suddenly became quiet.

Everyone is discussing the process just now, because the process is a bit complicated and confusing. Some of Zhao Yi used computer methods to demonstrate and explain, others did not notice.

Li Yilai reminded it, everyone noticed it immediately.

Kakutani conjecture, also called 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, it will extract an even factor of 2ⁿ. After a certain number of times, it will eventually return To 1.

Many people claim to have proved Kakutani’s conjecture and have published a series of papers. In fact, there is no “generally rigorous” proof process.

So conjectures are still just conjectures, not theorems that can be directly applied.

In Zhao Yi's proof process, using a computer to demonstrate and explain, it seems that the process is very rigorous, but the content of the "Kakutani Conjecture" is used.

This is not wrong.

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

According to research by mathematicians in Japan and the United States, all positive integers less than 7*10^11 conform to the law of Kakutani’s conjecture. If the number is greater than 7*10^11, it is almost a theoretical number. The computer thinks about it. A decision analysis is very difficult.

In addition, 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 slight 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 show that there is a problem can be regarded as a "bone in the egg".

There was a lot of discussion in the venue.

Most people admit that the problem mentioned by Li Yi does exist, but Zhao Yi’s proof process is completely without problems under the existing computer performance. The most important thing about computer algorithms is that they can output results and can be applied to practice more than theory. important.

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

that's enough.

On stage.

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

Kakutani guess?

It seems to be!

If the proof process is correct, doesn't it mean that Kakutani's conjecture is correct at the same time, and vice versa is incorrect.

But it must be 100% correct!

Zhao Yi is quite confident that "Contact Rate" will not deceive people. He fully understands the proof process, and the'Kakutani Conjecture' is just a guess, not an inherent formula or theorem, and it is definitely not the'prerequisite' used in "Contact Rate" condition'.

and so……

Zhao Yi quietly thought for five minutes.

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 about "picking bones in an egg".

At this moment, Zhao Yi raised his head and looked at Li Yilai seriously, then he stood up and walked to Li Yilai's face.

Others made way.

"Hold him!" someone suddenly shouted, "Don't let him hit people! Now this young man can't say it!"

"hurry up!"

"Professor Li, be careful!"

Li Yilai took a step back in shock when he heard the shout, but the chair behind him had no way to go back. He was in his fifties, and his body was far from tough, but he couldn't help but punch the young man.

Zhao Yi finally got the action.

He excitedly grabbed Li Yilai's hand and said very seriously, "Thank you! Professor Li! Thank you! Thank you very much."

"what?"

Li Yilai was a little confused.

Zhao Yi took a deep breath and said, "If it weren't for your reminder, I haven't found out, I actually proved Kakutani's conjecture!"