And the ending of decline

“Shape functions on-site based on analytical processes?”

"What level is this!"

Many people in the venue were shocked. Many of them were top mathematicians. They saw what Wang Hao was doing at first, but they still couldn't believe it.

Those who didn't understand it understood it after Wang Hao explained it.

This is shaping the function!

The young man on the stage was obviously unprepared, but he created the corresponding function based on the complex analysis process on the spot.

This is an incomprehensible situation.

It was like improvising and completing a very difficult mathematical argument, and the thinking process only lasted less than ten minutes. Even if I had a good understanding of the analysis process before, the difficulty of analyzing and shaping functions was not at the same level.

Shaping functions is not something that ordinary mathematicians dare to touch upon.

Some mathematicians can shape a function based on the framework and numerical values, so that the graphics displayed by the function are consistent with the numerical values ​​and the framework. But it is like building a house. Bricks and tiles are added slowly, rather than building the house directly.

come out.

Now Wang Hao seems to have built the house quickly.

The difficulty and level have exceeded many people's imagination. Even if they don't know what the result will be, they all see the mathematical level reflected in it and are very shocked.

The same goes for Gessner-Rainier.

As a high-energy physicist, his mathematical skills are definitely not bad. He understood part of the derivation process just now, but later he found that his understanding was not up to par.

Now that he knew that Wang Hao was shaping a function, he felt very shocked, because he realized that his understanding speed could not keep up with the other party's derivation speed.

Let’s take building a house as an example. It’s unimaginable that the people next to you seriously try to understand how to build a house, but they can’t keep up with the speed of building a house brick by brick. It’s faster to do research than to understand the process?

Gessner-Rainier sensed a huge gap in IQ and thinking speed.

He was a little unsure.

Is the result of this talented young man's analysis of hyperon decay really wrong?

Maybe, it's correct?

No one else has verified the function created by Wang Hao, because the result is definitely correct without even thinking about it.

One reason is that Wang Hao’s analysis had no problems and he completed the function shaping with great confidence.

Secondly, there is no denial from others.

There were two Fields winners present. The Fields winners were undoubtedly mathematical geniuses, and they were both very authoritative in mathematics.

Neither of the two Fields winners spoke, indicating that there was no problem in the process.

If there were problems, they would have been pointed out long ago.

…

The morning report ended with the shaping function. Many people were still in shock. They kept talking and were very surprised by Wang Hao's performance.

For some mathematicians, seeing Wang Hao shaping functions on the spot is even more surprising than knowing the analysis results. After all, microscopic physical discoveries cannot reflect reality in a short time, and no matter how big a discovery is, it is meaningless to them.

Wang Hao's completion of function shaping on the spot was a big topic in mathematics, and it was worthy of admiration for a long time.

Gessner Rainier and Alex Broun were sitting together talking to each other about the final function shaping.

"I really didn't expect that he could answer in this way." Rainier said, shaking his head, "I can't even ask further questions."

"Mathematics doesn't lie, Alex. I now feel that his analysis may be correct."

"That's impossible!"

Brohn immediately shook his head, "I didn't find the problem either, but I think there must be an error. If we can find cp violation in leptons, we can definitely find it in baryons."

"The mathematical analysis in the afternoon is the key."

Bronn seemed to be cheering himself up and nodded vigorously.

Rainier also nodded heavily and said, "This afternoon, you have to be more serious." This sentence was a bit of a favor to Braun. In terms of mathematics, he believed that Braun was better than himself.

Brohn was once a theoretical physicist, engaged in research on string theory and dark matter, and achieved certain results. However, he later changed his research direction and led the team to engage in CP destruction research.

Theoretical physics is a branch of mathematics.

Every theoretical physicist is a top mathematician, and theoretical physics can be understood as using mathematics to construct physics. Because of this, many theoretical physicists are bored in the office doing research instead of going around to participate in important events.

experiment.

This is why academic circles describe theoretical physicists as lunatics, thinking that they study physics completely out of imagination, which does sound a bit funny.

However, theoretical physicists stand at the top of academic circles and have the same status as mathematicians.

Brohn has done research on theoretical physics and achieved certain results, and was appointed as a professor at the University of Chicago. His mathematical level is of course quite high.

"Don't worry! There must be something wrong with this analysis, and I will definitely find it out!" Brohn said seriously.

the other side.

Wang Hao sat with Qiu Chengwen, Zhang Yifang, Tian Guilin and others. Also present were Coucher-Birkar and other mathematics and physics professors.

Everyone among them can be said to be an academic master.

A group of people talked about the morning report and the afternoon report. Wang Hao was still very confident.

Later the topic turned to other aspects.

Qiu Chengwen helped introduce Kaucher Birkar. This Iranian mathematical genius is still adapting to the domestic environment. Of course it would be better to know more people.

Coucher-Birkar's research field is algebraic geometry, especially higher-dimensional two-way geometry. He can do research in this area and was able to win the Fields Medal, which is enough to prove his genius.

Wang Hao also had a few words with Coucher-Birkar. He said that one of his courses is "Algebraic Geometry", "I think this direction has great potential, but it is also very complicated. If you encounter problems in the future, you will still have to deal with it."

Please give me some advice, Mr. Birkar."

Bill Carr also said a few words very politely.

They then talked about their respective research, and Wang Hao casually said that he was studying the ns equation, which immediately attracted the attention of many people.

This topic is not something that ordinary mathematicians would dare to touch.

The NS equation is one of the seven major mathematical conjectures of the millennium, and its difficulty is naturally very high.

After Qiu Chengwen heard this, he felt a little surprised. He felt that Wang Hao's research speed was too fast. It seemed that he had just completed the proof of Kakutani's conjecture and performed the complex physical analysis in front of him, but the result turned to the NS equation?

He commented, "NS equations, there is a lot of content in this direction, and it is a general direction."

"When doing this kind of research, you must be patient and take your time. It doesn't matter if you don't get results. The most important thing is to persevere."

Research in the direction of NS equations does not necessarily require solving world problems. Progress in the direction of world problems is also a major achievement.

This is not a simple math problem.

For example, the Kakutani conjecture is simply a mathematical conjecture with no special meaning.

The same goes for Goldbach's conjecture. Speaking of difficulty, it is of course recognized by the world, but in fact it is just a mathematics problem.

The NS equation is different.

Each of the seven major mathematical conjectures of the millennium is very important, and its importance is reflected in its application. The main application of the NS equation is fluid mechanics, which reflects the basic mechanical laws of viscous fluid flow.

As long as you work in this direction, you will definitely come into contact with the NS equation.

The same goes for other millennium mathematical conjectures. They all have very important applications in science and technology. Because of this, the research is very meaningful.

Of course, doing research in the direction of NS equations does not mean that we must solve difficult problems.

Others understand why Wang Hao chose NS equations, because he is already good at partial differential equations, and can even be said to have a background in partial differential equations.

NS equations are a class of classic nonlinear partial differential equations.

…

In the afternoon, the report continues.

The report has entered the stage of mathematical analysis, which is also the most difficult and important stage.

Mathematical analysis is based on computer analysis results, and the main body is to use shaping functions to perform image analysis.

The difficulty lies here.

Function shaping is not an easy task.

When it came to explaining the shaping of complex functions, many people also understood why Wang Hao could complete the shaping of functions so quickly in the morning.

Compared with what is being explained, the function created in the morning is just a small function.

The difference is the difference between solving a cubic equation and a linear equation, and the exponential level feels different.

They are not sure whether the function shaping is correct, but they are sure that Wang Hao is definitely an expert in using shaping functions for data analysis.

Using shaping functions for data analysis is a very effective analysis method, but it has excluded 99% of data analysis experts.

This method is too difficult and requires a very high level of mathematical foundation.

First of all, you must be a mathematician of a certain level.

Wang Hao's explanations are unhurried and the pace can be said to be very slow. As long as he encounters difficult areas, he will explain them very carefully.

Many people were mentally prepared to not be able to keep up, but found that they were able to keep up.

The "Gift of Teaching" is of course effective, but more importantly, Wang Hao explains very slowly, addressing every difficulty step by step, as if he is teaching students, hoping that everyone can understand.

Although the explanation speed is slow, the advancement speed is stable. Occasionally, when encountering difficulties, explanations will be repeated.

In the middle of the process, he would ask the audience, "Do you understand?"
To be continued...