The top student must be diligent.

Chapter 214 Industry Shock
As it turned out, although there had been various reports before about Xiao Yi studying the NS equation, people seemed to be ready for this event.

But in fact, with the release of Xiao Yi's paper, it still brought great shock to those involved.

All major media outlets rushed to report the news. Even those media outlets that had previously published negative articles about Xiao Yi once again placed this news at the core of their newspapers.

"Mathematical genius proves the century-old problem again, the final mystery of classical physics has been solved!"

"Genius from the Void: Another Proof of the Seven Major Problems of the Millennium"

《Shocked! He actually solved this math problem again...》

"..."

Even the media that had previously questioned Xiao Yi's IQ wrote in the new headline: "One of the most intelligent geniuses in the world"

So much so that quite a lot of netizens were mocking them under the news report of this media.

This has increased the popularity of this media outlet, at least higher than other media outlets, which makes people wonder whether this media outlet did it on purpose.

Of course, let’s not talk about the media’s reaction. For them, if it is important news, it is worth reporting, and only the reaction of the academic community can truly reflect their views.

……

University of California, Los Angeles.

In the area belonging to the Department of Mathematics, every student's face was filled with excitement.

"Hey, did you hear? The NS equations have been proven!"

"NS equation? Isn't this an equation? What's there to prove about it?"

"Stupid! Of course it's one of the seven problems of the millennium! The existence and smoothness of solutions to the three-dimensional incompressible NS equations!"

"Houlixiete! I remember now, this is what you were talking about! But how come? I remember another one of the seven problems of the Millennium, the Yang-Mills mass gap problem, wasn't it solved just two years ago? How come another one has been solved so quickly?"

"Hey, don't you see who proved the NS equation? Xiao Yi! That's Xiao Yi!"

"Oh my god, this sounds reasonable, but...how did he do it?"

"Instead of asking Xiao Yi how he did it, you might as well ask what to eat for lunch today. The latter is at least more meaningful."

"makes sense."

"However, I would like to know what Professor Tao thinks now."

"Oh, don't worry about his opinion, he will definitely post it on his blog."

"makes sense."

The only Professor Tao at the University of Los Angeles is naturally Terence Tao.

As for what Professor Tao thinks at this time...

In the office.

"Gift crab!"

At this moment, Terence Tao widened his eyes and looked at the paper on the computer in disbelief.

He knew about Xiao Yi's paper not long after it was published, and then he quickly went to Xiao Yi's website, downloaded the paper and started reading it.

Fortunately, Xiao Yi wrote this paper in English, otherwise he would probably have to find someone to help translate it.

Although he can speak Cantonese, he is still at a loss when it comes to reading Chinese papers.

Of course, whether it was language or not was completely unimportant after he started reading the paper.

Because he had already seen the path Xiao Yi took to prove his point in this paper.

"Incredible! He actually chose to prove it from more general initial conditions!"

After Xiao Yi came up with the explosion trend theory, he made an inference that using this theory could help mathematicians prove the more general NS equation. Of course, the difficulty is still quite great, so he never thought that anyone could really achieve this.

A more expected situation would be to first prove the NS equations under specific initial conditions, and then extend this proof to more general cases.

And now, with Xiao Yi's more general proof, it can basically be extended to specific initial conditions.

This is also the purpose of generalized proofs!
"Really? More generally, can he really do it?"

And next to him, there was another person sitting.

It was James Maynard.

It is already January of 2024, and the new Joint Mathematical Meetings is about to be held, so he came here again.

As for Princeton University's annual mathematics conference, it did not receive much attention because there was no heavyweight report like the twin prime conjecture this time.

However, they never expected that before the Joint Mathematical Conference, Xiao Yi would come up with such an important proof.

"Jesus! I think he should have done it. You have no idea how perfect this new function space he created is!"

Tao exclaimed repeatedly, waved at Maynard, and said, "Why don't you come and see for yourself?"

"Uh... I haven't studied much about partial differential equations, but since it's a function space, I can take a look."

Maynard came up.

"Hmm... Hmm?! Wait! This function space..."

As Maynard began to analyze this new function space, his eyes gradually widened.

Function space plays a very important role in mathematics. It is an important method in functional analysis and exists in many fields, not just partial differential equations. The applicable area of ​​function space can be found in almost any mathematical direction.

Of course, the scope of application varies depending on the nature of the function space itself.

For example, Xiao Yi mainly studied Sobolev space in order to create Xiao space, which is not only applicable to PDE. In fact, it can play a role in many fields such as variational method, numerical analysis, mechanical and structural engineering, computer, etc.

And now, Xiao Yi has summarized the characteristics of multiple function spaces, and through various innovative changes, he has created this space that is perfect for analyzing the NS equations. Maynard can see at a glance that it not only has a huge effect on the NS equations.
First of all, it will definitely play a huge role in the study of various PDEs other than the NS equation. In addition, considering the characteristics of this space, perhaps even if it is used in the analysis of algebraic topology, it may not disappoint mathematicians.

Maynard couldn't help but exclaim: "This new function space...isn't it a little too perfect?"

"Yes."

Tao, who had already seen this, nodded and said with emotion: "It is indeed quite perfect... so perfect that it doesn't seem to be something that can be achieved in our current mathematics community."

"But we can only say that Xiao Yi can always do things that we can't imagine."

Terence Tao said.

"Two millennium problems, but the interval between them is less than two years." Maynard couldn't help but sigh at this time.

No matter what, they will not forget this crucial point.
The status of the Millennium Problem is unquestionable in the mathematical community. Two years ago, mathematicians around the world would never have thought that such a difficult problem would be solved suddenly.

After that, mathematicians obviously would not have thought that less than two years later, another problem could be solved.

"Two million dollars in prize money," Maynard said.

For each problem solved, the winner will receive a $1 million prize from the Cray Institute.

Of course, each problem solved needs to be verified for at least two years and be widely accepted by the mathematical community before the Clay Institute will officially award the prize.

For example, when Perelman proved the Poincare conjecture, it took seven years of verification. Only after the mathematics community basically confirmed that his proof was correct did the Clay Institute choose to officially award him the prize.

Of course, this is mainly because Perelman's paper was too "obvious", and mathematicians had to spend more time verifying his proof for these obvious parts.

However, Xiao Yi's proof of the mass gap problem has been recognized by the mathematical community since the International Congress of Mathematicians in 2022. It is estimated that it will be almost two years after July this year.

Tao Zhexuan shrugged: "Yes, two million, but I think with Xiao Yi's current wealth, he probably doesn't care about this small amount of money at all."

"Yes." Maynard said with envy, "It's really unexpected that he has such strong ability in material research. Sometimes I really wonder if he is really God."

These top mathematicians serve as consultants to help analyze problems. For example, Terence Tao is a member of the Presidential Council of Advisors on Science and Technology and has also researched AI intelligence technology for the White House.

These positions can make them earn a considerable amount of money, but compared to the money Xiao Yi made from inventing the world's top technology patents and then founding a patent company, it is still much less.

Tao shrugged, then started working on his computer, opened his personal blog, and said, "Now is the time to post a blog."

Hearing his words, Maynard didn't know whether to laugh or cry, and complained: "You and the former US president are actually quite predestined. You both like to post things online, but he likes to post on Twitter, and you like to post on blogs."

"Damn! Don't mention that guy to me!"

Tao glared at Maynard unhappily and said, "He and I are not on good terms."

Maynard burst out laughing.

Terence Tao once commented on his blog that the former president was not fit to be president, and the former president responded on Twitter that Tao was a failed analyst because he could not prove the Soichi Kagetani conjecture.

Naturally, there was a confrontation between the two of them.

After laughing for a long time, Maynard finally waved his hand and said, "Okay, okay, I won't say anything more. Go ahead and write. I guess there are a lot of people waiting for your blog to see what 'Tao who knows a little bit about everything' thinks of this paper."

Tao gave him a middle finger, then looked back at the computer screen, thought for a moment, and started typing.

……

[Who would have thought of this? Maybe I thought of it before, but I rejected it in the end.

Xiao Yi actually achieved this incredible result - proving the NS equation problem under more general conditions.

Well, okay, maybe when I made the conjecture before, Xiao might have already been doing this. After all, he was the one who researched the theory of explosive trend, and with his wisdom, he certainly would not have thought of using the theory of explosive trend to directly realize a generalized proof.

But I still want to express my surprise.

He really did it and achieved it.

Believe me, after this is done, perhaps the explosion trend discrimination model he developed before will become more practical, and other more comprehensive models can be developed from it, which can be used to help optimize the fluid mechanics model, etc.

...]

There are indeed quite a lot of people who follow Terence Tao's personal blog, so as soon as this blog was published, it was forwarded and shared by people from all walks of life, and within just a few hours, it spread throughout the mathematics community.

Those who have not read the paper can roughly know from this blog post by Terence Tao that he affirmed Xiao Yi's proof.

Those who have read the paper but have not yet understood it can realize that Xiao Yi's paper has once again reached a level that others find difficult to achieve.

A more general proof.

After hearing the news, it really caused a lot of shock.

If it is a proof under specific initial conditions, then we can only say that the problem has been solved and it can have greater significance for the relevant models under these specific initial conditions.

And now this result, just as Terence Tao said in his blog, can be used to help optimize fluid models, etc. It can be said that its role has been directly improved by several levels.

All of a sudden, those people who had secretly wanted to discredit the PDE Industrial Alliance were dumbfounded.

No way, can we play it like this?
How could you prove such a difficult problem without any hesitation?

How about we both take a step back, we stop being so dishonest and you keep your certificate, okay?
But obviously, unless time goes back, such a thing would definitely not exist.

So they could only grit their teeth and swallow it.

Of course, compared to these little black guys, people from the domestic PDE Industrial Alliance all laughed.

The achievement made by Xiao Yi was simply great news for them.

Not only did it effectively fight back against the rhythm of the previous period, but it also brought tremendous impetus to their future development.

"I told you, Xiao Yi is amazing! I don't know what to do with these foreign things!"

At the University of Science and Technology of China, Tang Fucheng went straight to Shen Gensheng's door and started laughing.

Shen Gensheng also smiled and said with emotion: "He has indeed never let anyone down. He actually solved such a difficult problem so quickly. He is truly unique in the world."

Tang Fucheng smiled and nodded, but then he asked: "However, I am still curious. Logically speaking, his papers are all public. Why don't foreign countries set up their own PDE industrial alliance?"

"It's very simple." Shen Gensheng smiled. As a physics expert specializing in rare earths, he had a deep understanding of China's industry.

"Because our industry is number one in the world, and we also have the most complete industrial chain in the world."

"To train a model, we first need a large amount of data, all kinds of different data, and we are the only country in the world that can provide data in various fields to train the model."

"As for foreign countries, if they want to start a business, they have to first discuss who should control the organization, and then consider how to get the data."

"No matter what happens in the end, the model they train will not be as useful as ours. I don't need to say more about what the market will choose at that time, right?"

Tang Fucheng was stunned. He didn't expect the reason to be so simple.

But then, he also sighed slightly: "After all, it still depends on Xiao Yi who came up with it first."

Shen Gensheng nodded: "Yes."

If Xiao Yi hadn't thought of coming up with this thing first, and hadn't approached them directly to establish this organization and seize the initiative.

Otherwise, it is possible that foreign countries will seize the initiative.

……

(End of this chapter)