“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 the beginning, but they still couldn't believe it.
Those who didn't understand it understood it after Wang Hao said 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 the 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 are seriously trying 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 absolutely correct without even thinking about it.
One reason is that Wang Hao's analysis was correct 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 is a big topic in mathematics, and it has been worthy of admiration for a while.
Gessner Rainier and Alex Broun sat together and talked 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, and I now feel that his analysis may be correct."
"That's impossible!"
Brohn immediately shook his head, "I didn't find a 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."
Brone seemed to be cheering himself up and nodded vigorously.
Rainier also nodded heavily, "This afternoon, you have to be more serious." This sentence was a bit of a favor to Brohn. In terms of mathematics, he thought Brohn was better than him.
Brohn was once a theoretical physicist, engaged in research on string theory and dark matter, and achieved certain results. It was only later that he 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 are 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. 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 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."
"You must be patient and take your time when doing this kind of research. 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 it can even be said that he has a background in partial differential equations.
The NS equation is a class of classic nonlinear partial differential equations.
…
In the afternoon, the report continued.
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 is right 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 cubic equations and linear equations, 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 basic mathematics.
First of all, you must be a mathematician with 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, and addresses 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?"
"Do you understand this step?"
"There shouldn't be any need to talk about this step again, right?"
Many people feel strange when these words are spoken, as if they have become students studying in the classroom and are learning the application of basic knowledge.
Wang Hao obviously takes more care of the 'foreign team', especially regarding Rainier's direction. He will take care of Rainier every time he asks.
Rainier didn't feel it at first, but later he realized that Wang Hao often looked over with inquiries, as if asking him with great concern, "Do you understand?"
When Rainier realized it, he immediately gritted his teeth. His mathematics level was not at the top level, but it could not be said to be bad.
Of course he could understand what was said on stage in such detail.
"Do you think I'm a fool? Of course I understand."
"Of course I know there's no problem."
"You don't have to ask me specifically..." Rainier muttered through gritted teeth, feeling that he had lost face, and that it was because he was such a poor student that he alone slowed down the progress of the entire report.
But Wang Hao didn't mention his name, he just asked in this direction.
Wang Hao enjoyed this process very much. He was not targeting Rainier because he was reminded by Qiu Chengwen that the two foreign teams would not let his report pass easily. Naturally, he had to ask a few more questions. Otherwise, if he did not understand, he would stand up again. Asking questions will waste time, so it is better to explain slowly so that they are speechless.
At the same time, he also enjoyed the process of explaining.
[Task 1, inspiration value +1. 】
[Task 1 inspiration value +1. 】
It's two o'clock!
Although the inspiration value is only a pitiful two points, considering it is an NS equation and research at the s+ difficulty level, as long as the inspiration can increase, it is already very good.
Wang Hao also felt that by explaining things slowly, he would gain more knowledge base in his mind.
There are mathematicians and physicists in the audience. It is not easy for them to provide real inspiration, but they can provide a lot of knowledge. But in terms of basics, he is still lacking.
Rainier felt very depressed. He quickly looked at Brohn and gestured with his eyes continuously, "Speak quickly and ask questions!"
"Didn't you agree to listen carefully and find out the problem?"
Brohn was indeed listening carefully, even more seriously than others. He completely understood what Wang Hao said. Because of this, he could not find any problems at all.
Deriving slowly step by step, even if the content is very difficult, for him, it feels like solving a linear equation of one variable and having to write down the steps.
How can I find a problem here?
Do you want to ask why the linear equation of one variable is solved in this way?
Brone didn't want to stand up and be embarrassed.
In addition, the explanation speed is too slow. How long will it take for them to hear it before it reaches the end?
In fact, Wang Hao pays attention to his time. The mathematical analysis section at the end is about fifteen pages long. On average, he talks about ten minutes per page, so four hours is almost enough.
This speed is already very fast.
It’s impossible for an ordinary doctor of mathematics to keep up with the progress when he comes to the scene.
The reason why the people at the scene felt that the progress was slow was because their mathematics level was very high. Even if they are doing physics research, they must have a very high level of mathematics.
Some people say that Einstein's mathematical level was not high, but it was only compared to the top mathematicians at the time. He was able to complete the general theory of relativity based on the Riemannian geometric framework. It is obvious that his mathematical level has reached a very high level.
Ordinary mathematicians are simply not qualified in front of Einstein.
Physics research must have a mathematical foundation.
Scholars on site would feel that the progress was slow only if they had high levels of mathematics. However, Wang Hao had no intention of increasing the speed. He had to explain mathematics step by step so that others could be speechless and unable to find problems.
Four hours passed quickly.
Wang Hao spoke from two o'clock to six o'clock, and the rest time in the middle was only about 40 minutes. Everyone listening below felt very tired.
But everyone is still very serious and looking forward to it.
It’s almost the end!
Wang Hao's mathematical analysis is a huge discovery. The abnormal disappearance of the hyperon decay signal can be attributed to many reasons.
Annihilation is one explanation, but not the only one.
This must be a big discovery.
Now they are witnessing the proof of this great discovery in physics.
Of course, there are also some people who feel desperate, such as Rainier and Brohn. During the explanation process, they found that they could not find any problems.
What does this mean?
This shows that there is nothing wrong with Wang Hao's analysis, and his conclusion is probably correct, and this conclusion is a huge blow to them.
finally.
Wang Hao completed the last part of the explanation. He created three functions and drew the images corresponding to the functions one by one on the whiteboard.
When the three functions are placed on a flat graph, it can be clearly seen that when a certain node is reached, the image has a fault, and it feels like a part has been erased and suddenly disappears.
"That's what I said, signal lost."
Wang Hao showed the image to the audience, "Everyone can see clearly that the decay signal corresponding to each part of the data will have such a fault, which means that the signal suddenly disappears."
"What this means specifically needs to be explored further. I personally think it has something to do with the annihilation force of space. Of course, everyone's opinion is different, and some theoretical physicists may need to explain it."
This is the end.
Wang Hao didn't want to continue talking. He drank a lot of water continuously, but his fatigue could not be solved with water.
He bowed slightly to the audience, and many people immediately applauded.
There wasn't even a question after that, because Wang Hao explained very slowly, taking down step after step, and kept asking "Do you understand?" It made people speechless at all.
How can I ask this question?
Anyone who has problems now is either deliberately looking for trouble, or proves that there is a problem with his or her math skills.
Wang Hao left no room for questions at all.
Rainier and Broen were in a bad mood, and so were the people who came with them.
Of course they knew what the passage of Wang Hao's report meant.
Although they did not want to accept this result, science is like this. After the entire report, they had nothing to say.
Rainier slumped down.
Brohn's face was also full of loss and sadness. What he cared about most was the project itself, and he didn't know what he would face when he returned.
Funds are gone.
Maybe the project will be cancelled? Even if he establishes a new research direction, it will be difficult for him to be the person in charge.
Seeing the young figure in the crowd being admired by the stars, Broen felt that his situation was at the opposite end of the spectrum.
One is in heaven and one is in hell.
Rainier's mood was even worse. He also expected to win the Nobel Prize for his research on using cp destruction. It turned out that it was impossible to discover the cp destruction of baryon decay.
This is definitely a huge blow to my scientific research career.
Rainier stood up and couldn't help asking Brone angrily, "Why didn't you stand up just now? Didn't you say that this analysis must be wrong?"
"I can't find the problem." Bronn replied expressionlessly.
"You can't find a problem?" Of course Rainier knew that Broun couldn't find a problem, because even he understood it completely, but he still felt very angry, especially when he thought that Broun had spent more than seven days from morning to afternoon. During the hours of reporting time, not even a single word was said or a single question was asked.
And he asked a question at least once in the morning, and he almost stopped Wang Hao.
Rainier said angrily, "Of course you can't find a problem, because you were wrong from the beginning."
"You are paranoid that there must be something wrong with this analysis report, why? Aren't you just worried about your project!"
"You are an arrogant, paranoid person who only thinks about money. Meeting you was my biggest mistake. Don't talk to me again when we meet again. I hope you will be fired immediately when you go back!"
Rainier cursed continuously and seemed to have vented his emotions, then turned around and left.
Bronn sat in his seat dumbfounded, and it took him a long time to utter two curse words, "Damn it! Cousin!"
"You don't want to talk to me? Do you think I want to care about you?!"
"Do you think we are friends? What is our relationship? We are competitors, natural enemies!!"
"If it hadn't been for this, I wouldn't have been able to say a word to you!"
"Damn it! Bastard!"
Broen cursed angrily for a long time, but unfortunately Rainier and the others had already left.
In the end, he could only close his mouth and smile at the others with embarrassment.
Then, he left dejectedly.
…
(End of chapter)
