The previous heated public discussion about the palindrome conjecture has not yet passed, and many people are still discussing it on the Internet.
Then they noticed that Wang Hao had posted a new blog.
"A small study proves the 6174 problem", the name of the new blog article still starts with 'a small study', but the content of the research becomes 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 determination relies on four-digit coverage calculations rather than formal mathematical proof.
No mathematician had ever solved this problem strictly using mathematical methods before.
Many netizens saw the new blog content and immediately commented, "It's another 'small' study. This study is really 'small'. It just proves a problem that others have not proved."
"I have gained more 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 still a strict argument."
"The disproof of palindrome numbers the day before has been confirmed by the Mathematical Science Center of Shuimu University and the Applied Mathematics of the Academy of Sciences. This article must be no problem."
"Although I can only understand the question, it doesn't stop me from thinking it's awesome. Who supports it? Who opposes it?"
Many people have paid attention to Wang Hao's latest publication, and they found that it can indeed be said to be a small study, but professional scholars are more concerned about the proof process itself.
When Qiu Chengwen heard the news, he took a look at the proof process and found that it was indeed an interesting argument. Compared with the refutation of the palindrome conjecture 196, he thought, "I 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 methods used in the new study are relatively more complicated and have other differences.
Qiu Chengwen didn't know whether it was a coincidence or a real connection. He simply didn't dig 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 little conjectures."
"No wonder last year, ten papers were published in one month. I used to think that all the papers I had accumulated 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, which is the demonstration of problem 6174, can indeed be said to be a small achievement, but even if it is a small achievement, it has not been completed by others.
Many scholars found that he published his results on the blog again. Like other people in the complex office, they felt that it was a waste. Similar results could definitely be published in an SCI, or even an excellent SCI.
Some people think it's normal if they think about it carefully.
In the field of scientific research on the basis of mathematics, without the qualifications to win the Fields Medal, it can be said that no matter how hard you work, you are just a jobber in the field of mathematical theory.
Many old professors have studied mathematics all their lives, but they have no top-level results.
Effort is useless...
This sentence is a bit depressing to say, but in the field of basic mathematics research, it is a pure truth. Everyone who can achieve results in the field of mathematical technology can be said to be the world's top genius.
For example, the famous Chinese mathematician Terence Teru is considered to have an IQ higher than Einstein. This may be an exaggeration, but it also tells us how talented Terence Teru is.
The same goes for many other genius mathematicians. What they accomplished in a short period of time is something that most people would never be able to pursue 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 very hard and always achieves mathematical results.
In the eyes of others, mathematical results that are enough to be published in SCI are just a small research for him.
This is not Versailles, that's what he most likely thinks.
People see things differently.
Rich people will buy a bag worth tens of thousands or hundreds of thousands without even moving their eyes; poor people will feel expensive even if they spend 100 yuan on a meal.
In the field of basic mathematics research, Wang Hao belongs to the top level. Maybe he can produce a small result in one or two days of research, while others need to work hard for months, a year or even several years to achieve similar small results. Years may not be completed.
From the frequency with which Wang Hao publishes research results, we can know that he indeed spends very little time doing research. Because he uses less time and energy, it is normal for him not to care.
Zhang Zhiqiang can prove this.
Zhang Zhiqiang watched Wang Hao complete his research. He just listened to music to relax at noon, and then turned around and Wang Hao had already completed his research.
How long does the whole process take?
Zhang Zhiqiang felt that it would never take more than two hours.
However, Wang Hao had a different evaluation of the content. “This issue is very brain-consuming to research, and the proof process is more difficult than the previous content.”
"I also put a lot of energy into it..."
Zhang Zhiqiang didn't even wait for Wang Hao to finish, he looked at Luo Dayong, who had just walked over, and asked, "Luo Dayong, can we change tables? I think it's better to sit next to the window."
Luo Dayong sat back calmly, and then gently shook his head at Zhang Zhiqiang.
Zhang Zhiqiang was a little unwilling and immediately asked, "Why? How nice would it be for you two to be next to each other every day?"
Luo Dayong continued to shake his head and simply said, "The wind direction is not good in your place."
After he finished speaking, he turned his head and looked out the window.
"Is the wind direction bad?"
Zhang Zhiqiang thought about it carefully and was a little confused, "Could he be talking about Feng Shui? It's impossible, he still believes this?"
"But……"
He couldn't figure it out at all, so he simply went to the window and opened the small crack in the window wider. .
Then he sat back and felt the air flow carefully, and found that his position did indeed feel more cold wind, but he did not raise his head to look at Luo Dayong, because Luo Dayong was sitting by the window, and the meeting was held through the gap between the windows. It affected him even more.
Zhang Zhiqiang felt it carefully again, then turned around and said, "I still don't understand. Do you mean that air flow will make people more energetic? So, working or doing research will be more efficient?"
Luo Dayong looked at Zhang Zhiqiang with confusion, and after a long time he said, "I just don't want to change."
Zhang Zhiqiang's expression froze.
He looked at Wang Hao to the right, and then at Luo Dayong to the left. A feeling of madness suddenly arose in his heart, and he grabbed a handful of hair hard.
A handful, gone again.
…
The second 'Small Research' is a rigorous use of mathematical means to prove the problem of 6174 in four-digit numbers. Even ordinary people can see that the research is indeed 'very small'.
However, just because a study is small does not mean it is less difficult.
Wang Hao and Zhang Zhiqiang are telling the truth, and the research difficulty is higher than 'proving that 196 is a counterexample to the palindrome conjecture'.
The previous counter-example to the palindrome conjecture just used a conversion method from infinite to finite. It is not just 196. Other numbers can also be proved by this method, but the problem is just to calculate the number transformation, not strictly The mathematical proof cannot help find other 'counterexamples'.
Problem 6174 seems to be very simple indeed, and the scope is defined by four digits, but if it is a complete proof, the situation is completely different.
Wang Hao completed the research and gained some knowledge. At the same time, he also made a good discovery. "By doing research patiently by yourself, you can quickly increase your inspiration value. You don't have to rely on teaching, or reading books or listening to lectures to gain knowledge."
Even if you are doing your own research, you still need to do highly relevant research.
The research on question 6174 brought about an increase of three points of inspiration value, and also increased the inspiration value of S-level research to '97' points in one breath, only three points away from reaching one hundred points.
Wang Hao couldn't wait.
He tried to prove Kakutani's conjecture again, but found that he still missed the "finishing kick". He couldn't proceed any further halfway through. After reading it from beginning to end, he found that the overall direction was wrong and he missed a very critical issue. , it is simply impossible to prove it.
"The inspiration value is less than 100 points. I want to complete the proof of Kakutani's conjecture..."
"It's impossible!"
Wang Hao continued to 'refresh' the inspiration value.
He found two papers and read them carefully. He went to the library the next day and studied hard for a long time. Then he was very depressed to find that his inspiration value did not increase at all.
"It seems that it won't be completed before the class starts next week." Wang Hao stopped his useless work with regret.
When it comes to the most critical time for S-level difficulty research, looking for some relevant information will not increase your inspiration value.
Inspiration, direction, and ideas are much more important than knowledge base.
Now he felt that something was wrong with his mentality. He was too anxious to increase his inspiration value to 100 points. He worked hard but saw no increase at all.
"You still have to relax and take things as they come..."
Wang Hao thought, "Anyway, there are classes next week. No matter how difficult it is, how many classes will there be?"
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 read the news and followed the public opinion and gossip. It felt good to relax.
…
Dormitory Building 17, third floor.
Ding Zhiqiang, a junior in the Department of Physics, doesn't feel very good.
He was sitting next to the computer, reading the public opinions about the content of Wang Hao's blog with mixed emotions such as envy, amusement, anger, and depression.
At the same time, he 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 Professor Wang Hao's lectures is simply a kind of enjoyment. I am bathed in knowledge." enjoy……"
Next article, "Teacher Wang Hao is indeed very high-level, but he is not very good as a person. 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 class, and he had learned the rules for choosing courses.
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 full 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 were using their hands and knees, yelling and yelling, and there was no serious violence, but in retrospect, they still didn't feel good.
Fortunately, everyone believed him in the end, because people in other dormitories also failed to choose to take classes, and people in the next dormitory stood up to confirm his statement.
The next day he went to ask specifically and found out that his name had been added to the list by Wang Hao. Naturally, he was envied by many classmates.
Why use the word 'suffer'?
Several roommates still remember what happened last semester. They feel that they are not favored by Wang Hao because they did not choose to take classes. They cannot say "100%", but it is also a very important reason.
They were simply excluded.
Ding Zhiqiang, who deceived them, was favored by Wang Hao.
What you can't get is always in turmoil... This is not just a lyric, it is also very practical.
However, Ding Zhiqiang did not 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 beginning, he went to the Academic Affairs Office to make a report.
This is the reason why I feel so complicated.
Ding Zhiqiang thought Wang Hao was 'retaliating', but he had to admit that a junior student in the Department of Physics taking Wang Hao's class was enough to make many people envious, because others didn't even have the chance.
When others talked about it, Ding Zhiqiang felt a little proud and there was no way he would drop out of the class.
What to do now?
Should we just wait for classes to start and start classes as normal?
Ding Zhiqiang was unwilling to give up no matter what he thought, mainly because he felt that Wang Hao was seeking revenge and that he seemed to be 'dominated'.
"We must think of a way to say this!" Ding Zhiqiang started thinking about it, and he really came up with a way.
Ask a question!
Didn't everyone on the Internet say that Wang Hao is already a top mathematician, or is he the kind of genius who produces results efficiently?
If you ask a question and Wang Hao can't answer it, it's still a relief, right?
When the time comes, post a small post to expose it.
hey-hey.
Ding Zhiqiang was thinking, a light flashed in his eyes, and he began to look for problems. When looking for questions and asking questions, the problem must not be seen.
If the question is too difficult, for example, a famous mathematical conjecture, it is simply looking for trouble and deliberately making things difficult for others.
If the question is too simple, with Wang Hao's genius, he will definitely be able to answer it easily.
Ding Zhiqiang kept searching and searching. It took him more than two hours to find a question that he thought was suitable, and then he began to research patiently.
Research is also a must.
If you want to ask a question, you must first do your own research. Only after you have done your research, and then ask questions if you can't do it, will you really be believed by others.
Ding Zhiqiang is the kind of person who is very perseverant after he has a goal. He even spent an entire night looking at proof methods for similar problems, and he was still looking at it until eight o'clock the next morning.
By constantly looking up information and learning some basic knowledge on his own, he finally understood most of it.
"Almost, that's enough!" Ding Zhiqiang assessed himself. He looked at the time and saw that it was ten o'clock in the morning. With two dark circles under his eyes, he went to the office in the complex building in high spirits.
He really didn't want to wait a moment longer.
…
This day is Friday.
Wang Hao was sitting in the office leisurely drinking coffee with music playing in his headphones. He occasionally glanced at the book in his hand and read some basic content in other fields.
"Is Teacher Wang Hao here?" a voice called from the door.
Wang Hao looked up and took a closer look and found that it was Ding Zhiqiang who was deeply impressed. He immediately said, "It's Ding Zhiqiang, come in!"
Ding Zhiqiang came over as soon as he entered the office, stood beside the desk and said, "Teacher Wang, I have a problem that I haven't been able to solve. I want to ask you."
"What topic?"
"A geometric proof problem." Ding Zhiqiang opened the prepared booklet. The several draft pages on it were full of mathematical content, as if they were all calculations he had studied carefully.
He flipped through the pages and said, "This is the question. Take a look."
"What question?"
Zhang Zhiqiang was sitting next to him. He experienced continuous blows from genius and felt a kind of frustration in his life. When he saw a student coming to Wang Hao to ask 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 for undergraduates in the Department of Mathematics, how difficult can the questions asked be? He has a PhD in computer science and has a very high level of mathematics.
Now is the time to prove your level!
Zhang Zhiqiang went over to take the booklet and read the title, "Draw a closed curve arbitrarily, connecting end to end and not crossing itself. On this curve, it is proved that four points can be found so that they can be connected to form a square..."
"Geometry problem? I know a little bit about it too!"
Zhang Zhiqiang had never heard of this problem, so he returned to his desk full of fighting spirit and asked Ding Zhiqiang to come with him.
The proof begins!
Ding Zhiqiang looked at Zhang Zhiqiang's high-spirited look, as if he could solve the problem immediately, and he couldn't help but feel confused, "No way? When I checked, it clearly said that it has not been solved so far, so 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.
At the third minute, Zhang Zhiqiang finally put pen to paper and drew a closed curve in the shape of a flower.
Then, he looked at Ding Zhiqiang and said expressionlessly, "This question involves profound geometry at first glance. It cannot be figured out in one or two minutes."
"This classmate, there is something else going on in my laboratory. You should ask Wang Hao. If it doesn't work, I will help you think about it."
Zhang Zhiqiang finished speaking seriously, quickly picked up the coat on the back of the chair, and hurriedly rushed out of the office.
Ding Zhiqiang was stunned when he took the booklet.
"Pfft!"
Next to him, Luo Dayong 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 is some advanced geometry, you should know something about it, right?
Zhang Zhiqiang actually ran away?
what is the problem?
He took Ding Zhiqiang's brochure and read it.
