Chapter 121 You are not proving a mathematical conjecture, but doing simple mathematical problems!
"You call this..."
"A little research?!"
After hearing Zhang Zhiqiang's exclamation, Luo Dayong, Yan Jing and Zhu Ping looked over together.
They didn't hear what was said before.
Zhang Zhiqiang immediately turned around and explained with all his hands and feet, "Wang Hao! He said that he used the counterexample of 196 to refute the palindrome conjecture."
"Besides, he said it was a small study..."
He opened his mouth after saying the last sentence, but no one paid attention to him.
The palindrome conjecture is not that famous, but scholars doing scientific research in science and engineering majors will generally know that. Even Zhu Ping immediately reacted, "You are talking about the transformation and addition, it can become a positive
A guess that reads consistently in reverse order?"
Zhang Zhiqiang immediately nodded vigorously.
Luo Dayong quickly looked at Zhu Ping, a look of surprise flashed in his eyes, as if to say, 'She actually knows.'
Everyone in the office knows it.
When a number read from left to right is exactly the same as read from right to left, such a number is called a "palindrome".
For example, 494, 2002,...etc.
The content of the palindrome conjecture is that any natural number is added to its reciprocal number, and the resulting sum is added to the reciprocal number of the sum... If this is repeated, after a finite number of steps, a palindrome will eventually be obtained.
number.
This is an easy-to-understand mathematical conjecture, but it is considered wrong by most mathematicians because it is easy to use computers to find some numbers. After tens of thousands or hundreds of thousands of calculations, there are still no palindromes.
.
196, is a very classic example.
Some professional organizations used 196 as the basis and repeated the transformation calculation hundreds of thousands of times, but still did not get the palindrome number.
So the question is, is it possible to get a palindrome number by continuing to calculate, or is it impossible to get a palindrome number no matter how many operations are performed?
This is the palindrome conjecture.
The content of the palindrome conjecture is very simple, but it has not been proven until now.
Luo Dayong and Yan Jing immediately came over to take a look. After confirming that it was a study on palindrome numbers, they were as surprised as Zhang Zhiqiang. They were even more surprised that Wang Hao was going to post the research on his blog instead of submitting it to a professional mathematics magazine.
.
Wang Hao said nonchalantly, "No need to do this, it's really a small study. I didn't do a rigorous proof, I just gave a counterexample."
“Everyone knows that 196 is a counterexample,” Zhang Zhiqiang said, “but no one can prove it.”
Wang Hao ignored them. After adding a title, he published it directly.
In his understanding, proving that 196 is a counterexample to the palindrome conjecture is indeed just a small piece of research.
He only applied imperfect mathematical methods to research, or even a little bit of the research, to complete the proof that 196 is a counterexample to the palindrome conjecture.
This is just a small application of S-level research mathematical methods.
As long as the mathematical method is published, others can follow the method to solve problems like the palindrome conjecture.
So the most important results are new mathematical methods.
Seeing Wang Hao publish the content, Zhang Zhiqiang even covered his heart in pain. Others felt the same way. If it were put to them, they would try to submit to top journals no matter what.
"What a pity, such a big discovery!" Zhu Ping came over when she knew it.
Wang Hao said nonchalantly, "If you are interested in the proof process, you can read my blog."
They immediately returned to their seats and opened Wang Hao's blog to check it out.
Although they said they were heartbroken about Wang Hao's posting of the content on the Internet, they felt it was a big gossip if they didn't take it into account, so they forwarded the content of the article to other people one after another.
In just a few minutes, Xihai University knew everything from top to bottom.
Zhu Ping was the most active in this matter, because she only glanced at the content and knew that she would not be able to understand it.
It doesn’t matter if you don’t understand it, you can forward it to others.
Forward it to the Internet, or even to the school group, with the following sentence, "I read it from beginning to end, and Professor Wang Hao's proof process is completely correct.
From now on, there will be no palindrome conjecture in mathematics!"
Luo Dayong was carefully watching the proof process when he noticed a message appeared in the reminder prompt. He glanced at the comment of the person who forwarded it, raised his head and stared at Zhu Ping's face carefully with dull eyes.
Zhu Ping also noticed it. He and Luo Dayong looked at each other for a long time. Feeling a little unbearable, he lowered his head with a blush. Then he immediately looked over and raised his eyebrows vigorously, as if to say, "You
What are you looking at!"
Luo Dayong scratched his face hard with his hand, shook his head and continued to read the certificate.
"Tch~~It's inexplicable!"
At the same time, Yan Jing gave up after reading part of it, because there was a content about convergence transformation, which involved complex limit problems, and she couldn't understand it, so she stopped reading.
Zhang Zhiqiang is also patiently reading and understanding. He feels that he should be able to understand it, because the proof process is only two pages, but some of the transformations are very clever and involve some advanced extreme transformations. He wants to understand it.
It's not easy.
Only Luo Dayong read it with gusto, and started making calculations with a pen while reading.
Later, Zhang Zhiqiang simply asked Luo Dayong, euphemistically saying that the two of them studied together. The result was that Luo Dayong was watching and talking at the same time. He himself also found that there was indeed a big gap between himself and Luo Dayong in terms of mathematical level.
At the same time, more and more people are seeing blog content on the Internet, and the number of viewers is growing exponentially.
Wang Hao's Weibo account has more than 500,000 fans, and the previous peak reached 600,000. However, because he has not posted Weibo accounts for a long time, it seems to be a dead account, and the number of fans keeps dropping.
Now a blog article was suddenly published and forwarded to Weibo News. It immediately attracted attention on the Internet. When I clicked on it, I saw the title--
This chapter is not finished yet, please click on the next page to continue reading the exciting content! "A small research, take notes, and disprove the palindrome conjecture".
When they saw the title, many people thought it was just a small study and were interested in scanning the content. Of course, most people couldn't understand it, but after they did a reading and comprehension of the title, they were immediately shocked.
"Small research? Does it prove the palindrome conjecture? Professor Wang Hao is in Versailles, right?"
"This is 100% Versailles, so Versailles!"
"Is this proof true? Is there anyone who can help me? I deny a mathematical conjecture. It doesn't sound like a small piece of research."
Wang Hao still has traffic value.
Soon some media accounts forwarded the article, and the comments were, "Professor Wang Hao of Xihai University refutes the palindrome conjecture!"
"Professor Wang Hao actually posted the disproof of the palindrome conjecture on his blog. He thought it was just a small study."
"Does the palindrome conjecture prove? Is the proof correct? I look forward to the answer from professional mathematicians!"
In the complex office, only Luo Dayong could understand Wang Hao's certificate.
If it were put on the Internet, more than 99.99% of people would not be able to understand it. It is definitely not easy to find someone who can understand the proof process, because the vast majority of people with high levels of mathematics will not understand it.
It takes a long time to read Weibo and blog.
In addition, some truly top scholars do not care about proofs published on the Internet, because there are many similar proofs.
For example, if you search for the proof of Goldbach's conjecture, you can easily find dozens of articles. The publishers even include teachers from some universities, but no one reads most of the content.
the reason is simple.
If it is really a correct proof, why not submit it to a top journal but publish it on the Internet?
In this case, either there is a certain amount of research and it feels a bit wasteful if it is not published, or it is purely civilian research.
However, it also depends on the situation.
Who the publisher is specifically is very important.
Wang Hao is a special case.
He has completed the proof of the regularity of the Monge-Ampère equation, coupled with the more famous and influential demonstration of Artin's constant, and the results of the search for Mersenne primes, he has become very famous in the mathematical community and is placed in the
He can also be called a 'top mathematician' internationally.
When Wang Hao publishes a mathematical argument, even if it is only published on the Internet, it will be reprinted and reported by many media, and then more people will know about it.
A doctoral student at the Mathematical Science Center of Shuimu University saw the news on the Internet, and he immediately shared the news to the Mathematical Science Center group.
Then everyone knew.
There are many similar things, and the speed of information transmission on the Internet is unimaginable.
In just one hour, domestic institutions including the Academy of Sciences, Shuimu University, Donggang University and other institutions knew about the proof posted on Wang Hao's blog.
The news also quickly spread abroad.
However, because Wang Hao is not well-known internationally, few people care about "young mathematicians from other countries". Coupled with the limitations of China Unicom channels, someone took a screenshot and published the news, but it was not noticed by professional scholars.
Domestically, enough is enough.
In the Mathematical Science Center, Qiu Chengwen was sitting in the office, carefully checking the content published by Wang Hao, and while following it, he was doing calculations with a pen.
He can understand much faster than Luo Dayong.
Even though the two pages of proof contained some difficult mathematics, to Qiu Chengwen, it was the same as ordinary mathematics.
It only took him ten minutes to understand the contents, and he somewhat understood why Wang Hao called it a 'small study'.
This is indeed a very small study, the whole process only takes two pages, and it does not involve too advanced mathematical concepts. The only difficulty is the derivation of limit convergence.
The derivation of this limit convergence is the essence of the entire proof.
It is precisely because of the derivation of limit convergence and converting the problem from infinite to finite that we can demonstrate that 196 cannot become a palindrome number no matter how many transformations it takes.
"This method is really ingenious, a genius idea!" Qiu Chengwen commented, and then he found a person in charge and asked him to announce that the Mathematical Science Center approved Wang Hao's counterexample proof of 196.
For any mathematical argument, recognition by influential institutions in the field is very important.
Because many mathematical proofs are obscure and difficult for even professional mathematicians to understand, whether the proof process is correct depends on the evaluation of professional institutions in the field.
Even the counter-example proof published by Wang Hao is definitely not something that ordinary people can understand. They must have a knowledge base in the field of advanced mathematics.
This can defeat more than 99.9% of people.
This is just a proof that does not involve complicated content.
Speaking of complex arguments in the mathematics world, the most famous one is the proof of Fermat's conjecture by Eagle Country mathematician Andrew Wiles. The proof process totaled more than 100 pages and required six reviewers to review each part.
When Andrew Wiles first released his results, he made three reports at the famous Newton Institute, but the proof process was still not confirmed.
So how to determine whether this complex proof is correct?
This can only be judged by the institution.
Internationally speaking, among the top mathematical institutions, including the Clay Institute, the Newton Institute, the Institute for Advanced Study at Princeton University, etc., as long as a certain proof is recognized by two or more institutions, it can basically be confirmed to be correct.
.
Even if the proof process is incorrect, no one will deny it unless one day someone actually points out the error.
The Mathematical Science Center of Shuimu University also has a certain influence in the world. They issued a confirmation that Wang Hao's proof is correct, and it also has a certain authority in the world.
Domestically, it is more authoritative.
After the Mathematical Science Center of Shuimu University issued the announcement, more professional mathematicians got the news and immediately went to check the paper posted by Wang Hao on his blog.
This chapter is not over yet, please click on the next page to continue reading! When a blog article receives so much attention, the number of blog views will increase significantly, and it will also arouse heated public opinion.
soon.
There is an additional piece of news in the hot search on the Internet, "Wang Hao refutes the palindrome number conjecture".
Even if most netizens can't understand the content, they can't stop their enthusiasm from commenting, "This is the master! Has he proved a mathematical conjecture, but it's just a small study."
"Others post blogs to talk about their mood, life, and social events. Professor Wang Hao directly posts his mathematics papers, treating his blog as an academic journal..."
"I really improved my knowledge today. I learned one more mathematical conjecture, and it's still wrong. I hope this knowledge can help me get a perfect score in my math test!"
Scholars in the field of mathematics all feel that it is too wasteful for Wang Hao to publish his research on the Internet.
If it were them, they would at least publish it at conferences, which would increase their reputation, or submit it to a mathematics journal, or even a top mathematics journal.
Many scholars think so, including the mathematics professors at Xihai University.
For example, Zhou Qingyuan.
Zhou Qingyuan was very concerned about Wang Hao. After learning the news, he came over directly and said, "Don't you plan to publish a paper on your new results? Can it be of the level of a top journal?"
"Is it difficult?"
Wang Haodao said, "This kind of small proof only has two pages of content. It can be published directly. Moreover, publishing it on the Internet should not affect the publication of the journal. If a journal is interested, I can also publish it."
Zhou Qingyuan noticed Wang Hao's nonchalant look and couldn't help but twitch his lips. He also studied the content of the paper and found that the core was indeed only a clever limit transformation.
However, the results are impressive!
Although it is just a clever limit transformation, does it really prove the palindrome conjecture?
However, Wang Hao had already published it on his blog and stated that he would not refuse to publish the paper in journals, so he had nothing to say.
After Zhou Qingyuan left, Wang Hao continued to do research. He glanced at the inspiration value displayed on the system task and couldn't help but feel a little depressed.
【Task 3】
[Inspiration value: 94 points.]
He just used some small ideas from research to prove that the counterexample of 196 refutes the palindrome conjecture, and this research only increased the inspiration value by two points.
Wang Hao’s goal is to complete the research on the entire mathematical method.
The direct application of this mathematical method is to prove the Kakutani conjecture. There is no doubt that compared to the palindrome conjecture, the Kakutani conjecture is the real big result.
When he continued to work hard on research, he always found that he could not prove Kakutani's conjecture. What was missing was just a last-minute inspiration.
"Do we have to wait for class?" Wang Hao felt a little depressed, because his fastest class was also next week.
I feel like I can’t wait!
"How about researching other related content?" Wang Hao thought, found a very interesting numerical problem, and then slowly began to research it.
This is at noon.
After Zhang Zhiqiang had lunch, he returned to the office and saw Wang Hao busy with research. He asked curiously, "What kind of research is this? Didn't you just disprove the palindrome conjecture?"
Wang Haodao, "Let's do a small study. I want to prove the 6174 conjecture."
The content of the 6174 conjecture is also very simple. Given any four-digit number, rearrange the four numbers from large to small into a four-digit number, and then subtract its reverse number to get a new number.
If the new number is not 6174, continue the previous loop.
If this continues, no matter it is any four-digit number, as long as the four numbers are not exactly the same, if the above transformation is performed up to 7 times, the number 6174 will appear.
This research is also known as "Martin Conjecture-6174 Problem" in the international mathematics community.
Zhang Zhiqiang thought for a moment and said, "6174 conjecture? That's not a conjecture anymore, right? Computers can easily cover it directly."
"So I want to prove it using mathematical methods." Wang Hao said matter-of-factly.
Zhang Zhiqiang gave him a thumbs up and didn't pay much attention. He returned to his seat and began to listen to music to relax. It was only at 1:30 that he had the intention to do some research, but he still couldn't help but open his thin book.
Go gossip about the news, especially the content about Wang Hao’s refutation of the palindrome conjecture. It’s also very interesting to read netizens’ comments.
Because...Wang Hao is around.
At this time, he opened the main page and saw a message posted by a follower--
"A small study to prove the 6174 problem..."
"??"
Zhang Zhiqiang was stunned for a moment. He turned his head mechanically and saw Wang Hao operating the mouse. He looked towards the computer screen.
really!
A new blog post called "A small study to prove the 6174 problem".
"You haven't finished the proof yet, have you?"
"Yes!" Wang Hao nodded.
Zhang Zhiqiang stared at him for a long time and murmured, "I feel... you are not proving a mathematical conjecture, but doing a mathematical problem, and it is the simplest kind..."