Domestic network.
Wang Hao's blog suddenly updated several articles at once. After a closer look, I found that they were published separately from one paper.
Some netizens curiously clicked in and saw the title of the article.
"Proof of Smoothness of Solution Set of NS Equations"
--continuation of the conventional special value argument for infinite values.
For a while, the comments exploded.
Among the netizens who follow Wang Hao, there are many mathematics-related people, including some graduate students and doctoral students in the Department of Mathematics, who occasionally expect Wang Hao to publish some small proofs.
The difficulty of these small proofs does not need to be too advanced. If they can understand them all, it is a victory. They can also use this to test their own level.
Now, the only thing they can understand directly about this article is the title. Some people are a little confused when they see the title, because Wang Hao has published two papers related to NS equations in the top issues.
One of the articles is about finding approximate solutions to NS equations.
The other article is a proof of the smoothness of the solution set of NS equations under the normal value range, which can also be considered as a weakening proof of the NS equation problem.
Now there is another proof of the smoothness of the solution set of NS equations. They didn't react for a while, but when they thought about the title carefully, they were shocked.
"Continuing the regular special value argument to infinite values? Does this mean that the value range is expanded to infinite?"
"Doesn't this solve the NS equation problem?"
"Really or not? The NS equation problem has been solved? This level of research cannot be published on a blog, right?"
“That’s what the title says!”
"One of the seven major mathematical problems of the millennium, prove that the content is posted on the Internet? Is it possible?"
Suspicions were everywhere for a while.
They really couldn't understand how such a major proof could be posted directly on the Internet?
Later someone commented, "How is this impossible? How can our ordinary thinking understand top mathematicians? Perelman's Pang Jia Lai conjecture was also posted on the Internet."
"Yes, that makes sense!"
"So, this is the proof of the NS equation problem?"
"Wang Hao solved this problem?"
"The international mathematics community will be shocked!"
soon.
Many scholars also knew the news, and they immediately came to check out this paper.
The paper has a total of thirty pages and is divided into many parts. The overall content is complete, but most people feel numb after reading the first article.
Even some mathematics professors can no longer stand it after reading a few pages.
On the one hand, it is difficult, and on the other hand, it is too complicated. The reason for the complexity is that it involves a lot of logical arguments.
Someone flipped through it carefully and found that twenty pages were devoted to demonstrating the computational logic of parameter values. It seemed that after the demonstration was completed, the problem had been solved, and there were only twelve pages left.
This kind of content involving complex logical arguments is often the most difficult to understand.
Even if it involves complex calculations, you can roughly understand it based on the conclusion, but complex logic needs to be understood slowly.
At the same time, some professional mathematicians were also indispensable, and they slowly reviewed the paper from the beginning.
At the same time, the official news released by Xihai University was also reproduced by the media, and coupled with the blog article published by Wang Hao, the problem was immediately explained directly.
Wang Hao completed the demonstration of the equation and posted the content on his blog.
This news immediately became the focus of public opinion.
That's the ns equation, one of the millennium mathematical puzzles.
Most people are not interested in complex mathematics, but it is different when it comes to top-level research in mathematics.
Even if they don't understand it at all, and they don't even understand what the NS equation is, it doesn't stop them from discussing it.
Because the proof was made by Wang Hao and domestic scholars.
This can bring a sense of honor.
Domestic research on mathematical theory is still far behind foreign countries, and many top-level mathematical research are completed by foreign scholars.
Another solved millennium mathematical problem, the Poincaré conjecture, was also completed by mathematicians from other countries.
Now seeing that domestic scholars have completed top-level mathematical research, many people can't help but feel a sense of honor in their hearts.
…
At the same time, Wang Hao's paper posted on Arxiv also attracted the attention of foreign scholars.
Brian Wilson is a professor at the Clay Mathematics Institute. Before getting off work every day, he goes to Arxiv to browse the latest mathematical research.
Most of these studies are meaningless, but some studies can still bring inspiration and make people feel bright.
When the mouse rolled over a web page, he saw a paper title.
"Proof of smoothness of solution set of NS equations?"
Brian Wilson even laughed when he saw this title. He subconsciously thought that it was an unknown person who had done some marginal research and thought that the proof had been completed. Unfortunately, his submissions to top journals were rejected.
, will be published on Arxiv.
Just as he was about to move the mouse over, he noticed the name of the author of the paper.
"Wang-Hao?"
"This name seems familiar?"
He thought about it and his eyes widened, "Wang Hao? Are you kidding me?"
After clicking on the content introduction, I took a closer look and noticed the introduction in the author column - Xihai-University, Wang-Hao!
That's right, it's that Wang Hao!
Kakutani's conjecture, the prover of Goldbach's conjecture, the prover of the weakening smoothness of NS equation values!
Wilson was immediately shocked, "So, on the basis of weakening the proof, he expanded the scope and completed the argument for infinite values?"
"He solved the NS equation problem?"
He stared at the introduction of the paper and remained motionless for a long time. Finally, he turned around and quickly downloaded the paper, and kept saying, "This is impossible!"
"impossible!"
Then he read the content of the paper carefully and couldn't stop reading it.
…
Japan, University of Tokyo.
Toshiro Mikio is the Wolf Prize winner. The Japanese mathematics community calls him the second Ito Kiyoshi. He is indeed very similar to Ito Kiyoshi. He is also a professor at the University of Tokyo and has also won the Wolf Prize. Even in the field of research and development, he is very similar.
similar.
This chapter is not finished yet, please click on the next page to continue reading the exciting content! However, Tian Jun Mikio does not want to be the second Ito Kiyoshi, because he is still very young, only 37 years old, and he hopes to get a Fields.
In this way, he can surpass Ito Kiyoshi and become the top internationally recognized mathematician.
Fields is the highest honor in mathematics.
At this time, Tian Jun Mikio was thinking about the nonlinear partial differential equations meeting that had just passed and Nakamura Masao's judgment on the NS equation issue.
Masao Nakamura believes that Wang Hao's method of proving the smoothness of the weakened values ​​of the NS equation cannot be used to solve the problem of the NS equation, that is, it cannot expand the conventional values ​​to infinite values.
Tian Jun Mikio thought about it carefully and thought it made sense.
He carefully studied Wang Hao's proof and found that this idea had reached its peak. It was impossible to continue to expand the value range according to the method, and naturally it could not be extended to infinite values.
"And in most of the most difficult research, the idea of ​​weakening the proof often fails to solve the problem itself."
"The sieving method of Goldbach's conjecture is like this, and the bounded gap of the twin prime conjecture is like this."
"There are always limits to the idea of ​​weakening the proof. If you want to complete the proof, you still have to think of new ideas..."
Tian Jun Mikio was thinking.
Suddenly there was a knock on the office door, and a doctoral student walked in and said excitedly, "Teacher Tian Jun, there is a paper on Arxiv that you will definitely be interested in. Many scholars are discussing it."
To be continued...