From University Lecturer to Chief Academician

The heated public opinion discussion about the palindrome number conjecture has not yet passed, and many people are still discussing it on the Internet.

Then they noticed that Wang Hao posted a new blog.

"A small study to prove the 6174 problem", the name of the new blog post, the title still starts with "a small study", but the content of the research has become the 6174 problem.

This is indeed a small proof.

Question 6174 can no longer be regarded as a mathematical conjecture, because its answer is certain, but the certainty depends on the coverage calculation of four digits, rather than formal mathematical proof.

No mathematician has ever solved this problem strictly using mathematical methods.

Many netizens saw the new blog content, and immediately commented, "It's another 'small' study. This study is really 'small'. It just proves something that others haven't proved."

"I have increased my knowledge again, and I know a 6174 conjecture."

"The problem is that the content of the article is not popular science, but a real argument for the problem. Most likely, it is a strict argument."

"The disprovement of palindromic numbers the day before has been confirmed by the Mathematical Science Center of Shuimu University and the Academy of Applied Mathematics. This article must be fine."

"Although I can only understand the topic, it doesn't prevent me from feeling awesome. Who supports it? Who opposes it?"

Many people have paid attention to Wang Hao's latest published content, and they found that it can indeed be said to be a small study, but professional scholars pay more attention to the proof process itself.

When Qiu Chengwen heard the news, he took a look at the proof process and found that it was indeed a very interesting argument. Compared with the refutation of the palindrome number conjecture 196, he thought, "We still used the methods of constructing equations and limit arguments, two The methods used in the research are somewhat similar? Is this a coincidence or..."

The methods used in the two studies are somewhat similar, but the method used in the new study is relatively more complicated and has other differences.

Qiu Chengwen didn't know whether it was a coincidence or a real connection, so he simply didn't go into it, and sighed to the professor next to him, "Wang Hao, you are really productive?"

"It's only been two days, right? Two studies, related to two small conjectures."

"It's no wonder that last year, ten papers were published in a month. I used to think that the accumulated papers were published together, but now I believe it."

"For him now, solving some small problems that no one has solved before may really be solving small problems."

The new research published by Wang Hao, that is, the demonstration of the 6174 problem, can indeed be said to be a small achievement, but even if it is a small achievement, others have not completed it.

Many scholars found that he published the results on the blog again, just like other people in the office of the complex building, it felt very wasteful. Similar results can definitely be published in an SCI, or even an excellent SCI.

Some people think it's normal when they think about it.

In the field of scientific research based on mathematics, without the qualifications to win the Fields Medal, it can be said that no matter how hard you work, you are just a worker in the field of mathematical theory.

Many old professors have studied mathematics all their lives, but they have not achieved any top-level results.

Efforts are useless...

It is a bit frustrating to say this sentence, but in the field of basic mathematics research, it is a pure truth. Everyone who can achieve results in the field of mathematics technology can be said to be the world's top genius.

For example, Tao Terence, a famous Chinese mathematician, is considered to have an IQ higher than that of Einstein. This may be an exaggeration, but it also shows how talented Tao Terence is.

The same is true for many other talented mathematicians. Most of the results they completed in a short period of time cannot be pursued by most people in a lifetime.

The same is true for Wang Hao now.

He is undoubtedly a genius, and he is also the kind of genius who works hard and always produces mathematical results.

In the eyes of others, it is enough to publish the mathematical results of SCI, but it is just a small research on him.

This is not Versailles, he probably thinks so.

People see things differently from person to person.

Rich people buy tens of thousands or hundreds of thousands of bags without moving their eyes; poor people feel that spending 100 yuan for a meal is very expensive.

In the field of basic mathematics research, Wang Hao belongs to the top class. Maybe he can produce a small result in one or two days of research, while others need to work hard for a few months, a year or even a few days for similar small results. Years may not be completed.

From the frequency of Wang Hao's published research results, we can know that he really spends very little time on research, and because he spends less time and energy, it's normal not to care.

Zhang Zhiqiang can prove this.

Zhang Zhiqiang watched Wang Hao complete the research. He just listened to music to relax at noon, and then turned around and Wang Hao had completed the research.

How long is the whole process?

Zhang Zhiqiang felt that it would never exceed two hours.

However, Wang Hao's evaluation of the content is different. "This question is very brain-intensive to study, and the proof process is more difficult than the previous content."

"I also invested a lot of energy..."

Without waiting for Wang Hao to finish speaking, Zhang Zhiqiang looked at Luo Dayong who had just walked over, and asked, "Luo Dayong, can we change the table, I think it's better to be next to the window."

Luo Dayong sat back calmly, then shook his head slightly at Zhang Zhiqiang.

Zhang Zhiqiang was not reconciled, and immediately asked, "Why? Wouldn't it be nice to have the two of you together every day?"

Luo Dayong continued to shake his head, and simply said, "The wind direction in your place is not good."

After he finished speaking, he turned his head and looked out the window.

"The wind direction is bad?"

Zhang Zhiqiang thought about it carefully, a little confused, "Could it be that he was talking about Feng Shui? Impossible, he still believes in this?"

"But……"

He couldn't figure it out at all, so he simply went to the window and opened the small slit of the window wider. .

Then he sat back to his seat, felt the air flow carefully, and found that the cold wind he felt was indeed more in his position, but he did look up at Luo Dayong, because Luo Dayong was sitting by the window, and the gap in the window was open. It has a greater impact on him.

Zhang Zhiqiang felt it carefully, then turned his head and said, "I still don't understand. You mean that the air flow will make people more energetic? So it will be more efficient to work or do research?"

Luo Dayong looked at Zhang Zhiqiang with doubts, and it took him a long time to say, "I just don't want to change."

Zhang Zhiqiang's expression froze.

He looked at Wang Hao to the right, then at Luo Dayong to the left, and suddenly felt a maddened feeling in his heart, and he grabbed a handful of hair.

A pinch, and gone again.

...

The second "small research" is to strictly use mathematical means to prove the 6174 problem in the four-digit number. Even ordinary people can see that the research is indeed "very small".

However, just because the research is small doesn't mean the difficulty is low.

Wang Hao and Zhang Zhiqiang are telling the truth, and the difficulty of research is higher than "proving that 196 is a counterexample to the palindrome conjecture".

The previous counter-example proof about the palindromic number conjecture just used an infinite to finite conversion method, not only 196, other numbers can also be used as a proof, but the problem is only to calculate the number transformation, not strictly Mathematical proofs cannot help find other 'counter-examples'.

The 6174 problem seems to be very simple indeed, and the range is defined as four digits, but it is a complete proof, and the situation is completely different.

After completing the research, Wang Hao also gained some knowledge and insight, and at the same time, he also made a good discovery, "Doing research patiently by yourself can also quickly increase the inspiration value. You don't have to rely on teaching, or reading books or listening to lectures to acquire knowledge."

Even if you do your own research, you need to do highly relevant research.

The research on the 6174 problem brought about a three-point increase in the inspiration value, and also increased the inspiration value of the S-level research to '97' points in one go, only three points away from reaching one hundred points.

Wang Hao couldn't wait any longer.

He tried to prove Kakutani's conjecture again, but found that he was still short of a 'finishing kick', and he couldn't continue in the middle of the process. After reading it from beginning to end, he found that the overall direction was wrong, and a very critical issue was missed. , it is impossible to prove it.

"The inspiration value is less than 100 points, and I want to complete the proof of Kakutani's conjecture..."

"It's impossible!"

Wang Hao continued to 'scrub' the inspiration value.

He found two papers to read carefully, and went to the library the next day, and spent a long time studying hard. Then he was very depressed and found that the inspiration value hadn't even increased at all.

"It seems that we won't be able to finish before the class starts next week." Wang Hao stopped his useless work with regret.

When the research of S-level difficulty reaches the most critical time, it is not possible to increase the inspiration value by looking for some relevant information.

The direction of inspiration and ideas are much more important than the knowledge base.

Now he feels that his mentality is not right, he is too anxious to increase the inspiration value to 100 points, but he has worked hard but there is no increase at all.

"It's still necessary to relax your mind and be at peace with the situation..."

Wang Hao thought, "Anyway, there will be classes next week. No matter how difficult it is, how can there be growth after taking a few classes?"

On the contrary, he was not in a hurry.

When he returned to the office, he simply studied with Zhang Zhiqiang, listened to music to relax his mind, and then went to read the news and gossip along with the public opinion. It felt good to relax.

...

Dormitory building No. 17, three floors.

Ding Zhiqiang, a junior student in the Department of Physics, doesn't feel very good.

He was sitting next to the computer, brushing the public opinion about the content of Wang Hao's blog with many complicated emotions such as envy, amused, angry, and depressed.

At the same time, I also posted two words, "My teacher last semester was Professor Wang Hao. His level is very high, and his lectures are also very good. Listening to Mr. Wang Hao's lectures is simply a kind of enjoyment. It is a pleasure bathed in knowledge. enjoy……"

The next one, "Teacher Wang Hao's level is indeed high, but he is not very good as a human being. His mind is smaller than a needle, and he has a strong desire for revenge!"

Ding Zhiqiang's complicated mood can be seen from the two comments.

When choosing courses a few days ago, Ding Zhiqiang clearly remembered that he did not choose Wang Hao's course, and the rules of course selection he said were all inquired about.

At that time, I breathed a sigh of relief, because there was no need to worry about "whether to take Wang Hao's class", students from the Department of Mathematics would definitely take all the classes.

As a result, I chose Wang Hao's class out of nowhere, and my roommate thought it was "cheating again".

That night……

Several roommates used their hands and feet together, yelled and cursed, and there was no serious violence and abuse, but it still doesn't feel good in retrospect.

Fortunately, everyone believed it in the end, because people in other dormitories also failed to take classes, and people in the next dormitory stood up to confirm his statement.

The next day he went to ask a special question, only to find out that his name was added to the list by Wang Hao's operation. Naturally, he was envied by many classmates.

Why use the word 'suffer'?

A few roommates still remember what happened last semester. They felt that they were not "preferred" by Wang Hao because they did not choose a class and could not say "100%", but it was also a very important reason.

They were simply excluded.

Ding Zhiqiang, who lied to them, was favored by Wang Hao.

What you can't get is always commotion... This is not just a lyric, it is also very practical.

However, Ding Zhiqiang didn't feel that he was being favored. After thinking about it, he still felt that Wang Hao was retaliating against him. The reason was naturally that at the very beginning, he had reported to the Academic Affairs Office.

This is the reason why the mood is complicated.

Ding Zhiqiang thought that Wang Hao was "revenging", but he had to admit that a third-year student in the physics department chose Wang Hao's class, which was enough to make many people envious, because others didn't even have the opportunity.

When other people talked about it, Ding Zhiqiang felt a little proud, and it was definitely impossible for him to drop out of class.

What now?

Is it normal to wait for the class to start and attend class?

No matter what Ding Zhiqiang thinks, he is not reconciled, mainly because he feels that Wang Hao is taking revenge, and he seems to be 'mastered'.

"We must find a way to let it out!" Ding Zhiqiang thought about it with his brain, and it really made him think of a way.

ask questions!

Didn't it all say on the Internet that Wang Hao is already a top mathematician, or is he the kind of genius who produces results efficiently?

If Wang Hao couldn't answer a question when he asked it, it would be considered a relief, right?

At that time, send a meager exposure.

hey-hey.

Ding Zhiqiang thought about it, a gleam flashed in his eyes, and he began to look for problems, and asking questions must not be seen as problems.

If the question is too difficult, for example, the famous mathematical conjecture, it is purely looking for trouble and deliberately embarrassing others.

If the question is too simple, with Wang Hao's genius level, he can definitely answer it easily.

Ding Zhiqiang kept looking, kept looking, spent more than two hours, and found a problem that he thought was suitable, and then he began to do research patiently.

Research is also a must.

If you want to ask a question, you must first do your own research. After you have done the research, you will not be able to do it and ask questions, only then will you be truly believed.

Ding Zhiqiang is the kind of person who is very persistent after he has a goal. He even spent the whole night looking at the proof methods of similar problems until 8 o'clock in the morning the next day.

Through constant research and self-study to understand and master some knowledge bases, he finally understood most of them.

"Almost, that's enough!" Ding Zhiqiang made a self-assessment. He looked at the time, and it was ten o'clock in the morning. With two dark circles under his eyes, he went to the office of the complex building energetically.

He really didn't want to wait a moment.

...

Today is Friday.

Wang Hao sat in the office and drank coffee leisurely, with music playing in the earphones, and occasionally casually glanced at the book in his hand to read some basic content in other fields.

"Is Teacher Wang Hao there?" A voice came from the door.

Wang Hao looked up and found that it was Ding Zhiqiang who was impressed, and immediately said, "It's Ding Zhiqiang, come in!"

Ding Zhiqiang walked over after entering the office, stood beside the desk and said, "Mr. Wang, I have a problem that I have not been able to solve. I would like to ask you."

"What subject?"

"A geometric proof problem." Ding Zhiqiang opened the prepared booklet, and the draft pages on it were full of mathematical content, as if they were all calculations that he studied carefully.

He flipped to the back page by page, "That's the question, please take a look."

"What question?"

Zhang Zhiqiang was sitting next to him. He experienced continuous blows from geniuses, and he felt a kind of frustration in life. When he saw a student coming to ask Wang Hao for questions, he immediately cheered up and came over and said, "Let me take a look."

He noticed that Ding Zhiqiang seemed to be an undergraduate.

Even if you are an undergraduate student in the Department of Mathematics, how difficult can the questions you ask be? He is a Ph.D. in computer science and has a high level of mathematics.

Now is the time to prove your skills!

Zhang Zhiqiang went over to take the booklet and read the title, "Draw a closed curve at random, which is connected end to end and cannot pass through itself. On this curve, prove that four points can be found so that they can be connected to form a square..."

"Geometry problem? I know a little too!"

Zhang Zhiqiang had never heard of this problem, so he returned to the desk full of fighting spirit, and called Ding Zhiqiang to go there with him.

The proof begins!

Ding Zhiqiang looked at Zhang Zhiqiang's fighting spirit, as if he could solve the problem immediately, and he couldn't help but wondered, "No way? When I checked, it clearly said that it has not been solved so far. Why does it seem to be very simple?"

Then, he watched Zhang Zhiqiang think about the question seriously.

Think and think...

One minute passed, two minutes passed.

In the third minute, Zhang Zhiqiang finally started to draw a closed curve in the shape of a flower on the notebook.

Then, he looked at Ding Zhiqiang, and said expressionlessly, "This question involves advanced geometry at first glance, and it cannot be figured out in a minute or two."

"Student, I still have something to do in my lab. You should ask Wang Hao. If it doesn't work, I'll help you think about it."

After Zhang Zhiqiang finished speaking in a serious manner, he quickly picked up the jacket on the back of the chair, and rushed out of the office in a hurry.

Ding Zhiqiang was stunned after receiving the brochure.

"Puff!"

Luo Dayong next to him laughed, while Zhu Ping gave a sarcastic thumbs up towards the door.

Wang Hao tugged at the corner of his mouth, he was a little curious.

Even if it's some advanced geometry, you should know a little bit, right?

Zhang Zhiqiang actually ran away?

what is the problem?

He took Ding Zhiqiang's brochure and read it.