Chapter 122 The difference between geniuses and ordinary people and advanced geometric problems(1/3)
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 proofs.
No mathematician had ever used strict mathematical methods to solve this problem 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 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 method 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, and like other people in the complex office, they felt that it was a great 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 little 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 mathematics and technology can be said to be the world's top genius.
For example, the famous Chinese mathematician Terence Terence Teru is considered to have an IQ higher than Einstein. This may be an exaggeration, but from this we also know how talented Terence Teru is.
The same goes for many other talented 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 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 is most likely what he thought.
People look at 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 small results in one or two days of research, while others need to work hard for similar small results for several months, a year or even several years.
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 reluctant 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? 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.
This chapter is not finished yet. Please click on the next page to continue reading the exciting content! Then he sat back and felt the air flow carefully. He found that in his position, he felt more cold wind, but he did not look up.
Luo Dayong, because Luo Dayong sat by the window, the conference held through the gap between the windows had a greater impact on him.
Zhang Zhiqiang felt it carefully again, then turned around and said, "I still don't understand, 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. He suddenly felt a crazy feeling in his heart, and he grabbed a handful of hair hard.
A handful, and it's gone again.
…
The second "Small Research" is to strictly use 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 the 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, but 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 range 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, "You can also quickly increase your inspiration value by patiently doing research on your own. You don't have to rely on teaching, or reading books or listening to lectures to gain knowledge."
Even if you do 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 continue halfway through. After reading it from beginning to end, he found that the overall direction was wrong, and a very critical issue was missed.
, 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 feels that something is wrong with his mentality. He is too anxious to increase his inspiration value to 100 points. He works hard but has no increase at all.
To be continued...