Scholar’s Advanced Technological System

Almost any of the four leading mathematics-related laboratories and institutes in the mathematics world will order the Mathematics Yearbook.

Tao Zhexuan's office is naturally no exception.

As soon as the new Yearbook of Mathematics arrived at the office, he set aside what was at hand, opened the catalogue of periodicals, started searching along the catalogue for papers of interest to him, and then marked them next to the page numbers, ready to read them when they weren't busy.

At this point, the tip of his pen was suddenly slightly pinched and parked behind a page number.

Overall Existence Study on Smooth Solution of 3D Non-Compressible Navier-Stokes Equations at Specific Initial Values

“NS equation? ”

Looking at the title of the paper, Tao Zhexuan's face revealed a divine colour of interest.

He hasn't seen a study of NS equations in the annual journal of mathematics in a while.

After all, even though NS equations are very versatile in the field of application, it is too difficult for pure mathematics to make enough results on this proposition to be published in The Mathematical Yearbook!

Unable to hold onto his curiosity, Tao Zhexuan temporarily set aside his pen and followed the page number behind the title to the page where the paper was located.

When he saw the author of the paper, he stunned slightly, and his eyebrows raised a slight curve of interest.

Lu Zhou?

I was going to wait for some time to concentrate on the papers I was interested in, but when I saw this familiar name, he couldn't wait any longer.

Professor Tao took a blank piece of draft paper from the table and picked up the pen again. There was a serious look in his eyes and looked carefully at the formula on each line of the paper.

Time goes by.

unconsciously, from early morning to noon.

It took Professor Tao a whole morning to go over his thesis from beginning to end.

When he put the journal down, he couldn't help but exclaim.

“Professor Lu is still amazing...”

Though only roughly repeated, this does not prevent him from understanding what it means.

He was particularly impressed by the mathematical methods used by the Ark in its arguments, which he had never seen before.

Of course, it would take more time to read more about the wonders of this paper.

Fun came and I didn't want to go to the afternoon class, Professor Tao called his assistant professor, dumped the task pot of the class, then turned on the laptop.

Just as the Ark is keen to wrap his neck, the old man has a well-known hobby within the circle, in addition to his research.

That's updating the blog.

Review hot events, comment posts, and review peers in academia.

And, share your thoughts!

… I think this is an interesting discovery, and it's not just the conclusion he reached in his paper that makes sense, it's a very enlightening approach he applied in his argumentation.

According to my understanding of him, being good at using a variety of mathematical tools is his advantage, and his involvement in different fields of research is the most extensive I have ever seen. Not only that, but his ability to understand and apply mathematical tools is also rare among the scholars I've seen.

Normally, a scholar who can apply a mathematical tool to the extreme and innovate on that basis is well suited to the word excellence.

Obviously, his work is above excellence.

He's good at choosing a whole new way of thinking, injecting new content into an old method, or using it as a nutrient, and creating an unprecedented mathematical approach based on it.

Let me say, if we continue to refine this mathematical approach, maybe he has a real hope of finally solving the dilemma of this century.

And of course, we have to admit, it's very, very difficult!

In the partial differential field, among scholars who have studied the NS equation, “TAO of everything" is probably the best.

In 2014, a Kazakh mathematician, Otelbayev, claimed to prove the existence and smoothness of the NS equation, causing considerable controversy in the international mathematical community.

Because the scholar was much higher than the next year when he claimed to prove that Lehman had guessed that Professor Enoch was a mathematician of good character, he was not relentlessly cold because of the operation from pre-prints to journal submissions.

However, it was not easy to review this scholar.

Perelman, who solved Ponzi's conjecture, although isolated, wrote his thesis in English at best. However, Mr. Otterbaev does not appear to be good at English, writing in Russian and is ninety pages long, directly discouraging a large number of interested colleagues.

Tao Zhexuan, who only speaks Cantonese and English, certainly doesn't understand Russian, but that doesn't stand in the way of the genius.

According to Professor Otterbayev's thesis, Tao Zhexuan first followed his thinking and constructed an equation similar to, but different from, the NS equation structure. If the original proven conclusion is valid, then there is no doubt that there will be a smooth overall solution to the example he constructs.

And then, more awesome things happened.

By setting a special initial value, he demonstrated that the smooth resolution corresponding to that initial value would lose regularity for a limited period of time. This is tantamount to finding a counter-example, skipping the proof process and logically denying the validity of this idea.

If the idea itself is wrong, then there is no longer a question of right or wrong.

This conclusion was endorsed at the time by many scholars in the field of differential equations, and his assumptions proved to be correct.

Shortly afterwards, Professor Gregory Selekin, a Russian mathematician at Oxford University, finally completed his review of Otterbaev's paper, pointing out six errors that eventually ended the controversy over the paper.

Of course, acknowledging the wrong Otterbaev himself, he finally admitted his mistakes brilliantly, but these are the last words.

In conclusion, Professor Tao still has a considerable say in the field of NS equations.

And, according to his blogging habits, although he rarely places scholarly content on his blog, the messages he communicates through his blog are often verified by himself.

In fact, not only did Tao Zhexuan give high praise to this paper, but many bulls who studied the field of differential equations also gave more than neutral opinions.

For example, Professor Feverman, director of the Department of Mathematics at Princeton University, basically shares Tao Zhexuan's view that the method used by the Ark in the validation process is more significant than the conclusions reached in his own paper.

Whether or not he is studying "the existential and smooth nature of three-dimensional uncompressible Navier-Stokes equations", a centuries-old puzzle rewarded by the Clay Institute, his mathematical approach will inspire his peers to study this proposition.

Earlier, the Ark suddenly shifted to studying materials, chemistry, and many scholars in the academic world expressed regret that it should not be at its best age to divert attention to other areas, but rather concentrate as much as possible on taking their areas of expertise to a higher level.

Yet after Goldbach's speculation, the Ark had been silent for over a year and had not published a mathematical thesis in the strict sense of the word, so many doubted that the genius was tired of mathematics.

But now it seems that all the rumours do not seem to break themselves.

Not only has the genius not given up on mathematical drilling.

Instead, like…

Next game of chess?