The afternoon class started at two o'clock, and by half-past one, the large classroom was already full.

After lunch, many students came to the classroom to take up their seats, some even came at twelve o'clock, and those who came after half past one could not find a seat at all.

Some of the teachers who entered the door were very surprised to see this kind of scene, and they felt crying and laughing when they looked closely.

It is impossible for so many students to be graduate students and doctoral students in the departments of mathematics and physics, and many of them are juniors and seniors.

They just heard about Wang Hao's lecture.

After all, it was a formal public class, and it was impossible for students to take the initiative to come to the lecture, and they couldn't find a seat when they came late, so a few teachers simply moved chairs to the office next to them, just in front of the aisle at the very edge, or in the back row to add chairs before sitting down.

At the same time, there was a lot of discussion in the classroom, "Professor Wang has finally started classes again!"

"I'm here to listen to Mr. Wang's lecture, and if you haven't heard it, you may not know that Mr. Wang's lecture is very good!"

"In the morning, Mr. Jones was lecturing, and that Ameriken man couldn't do it at all, and he couldn't understand anything he was talking about..."

"Me too, I don't understand it at all.......

"His Chinese level is still poor, and he speaks quickly, how can he listen?"

"Afternoon classes seem to be bridging the morning, right? Is it possible to do it at that high difficulty?"

"I don't know, I'm going to listen to ....... anyway."

Paul Phil-Jones walked into the classroom in the midst of all the talk.

He entered the classroom through the main entrance, and when he saw the crowding inside, he immediately stood at the door and rubbed his eyes vigorously, "Why are there so many people?"

Many students left in the morning.

The afternoon class is connected to the morning content, normally there will not be many students to listen to the class, he thought that few people would be in it, and he was still worried about Wang Hao's class, but he saw such a scene.

Paul Phil-Jones was stunned for a long time, and he didn't know whether to go in for a while, because he knew that he couldn't find a seat, but fortunately, Zheng Yaojun also came, so he sat on the side of the first row, and beckoned to the door, "Paul, here!"

As soon as Paul Phil looked up, Jones simply walked over and sat in the seat left by Zheng Yaojun.

After he sat down, he asked in surprise, "Zheng, why are so many students here?"

"What's the big deal?"

Zheng Yaojun didn't care and said, "Many students still don't know about this, otherwise the classroom won't fit at all."

"Wang Hao's course is so popular?"

"Of course."

"But he's going to give a lecture on the morning .......," Paul Phil-Jones hesitated and continued, "and there aren't many people left in the morning."

Zheng Yaojun pursed his lips vigorously, not knowing whether to answer or not, he was also present in the morning, and what Paul Phil-Jones said made him unable to keep up.

He is a scholar in the direction of partial differential equations, and naturally has no research in theoretical physics.

But thinking that Wang Hao wanted to give a lecture, he still came, because Wang Hao's lecture level was notoriously high, and he had also listened to the course a few times, so he felt that it was still necessary to come.

Zheng Yaojun didn't answer, and the topic didn't continue.

Soon.

Wang Hao came to the classroom.

When Wang Hao stood on the podium, the classroom suddenly fell silent, and he looked at the number of people in the classroom, but he was not surprised.

One is fame, and the other is the level of teaching.

As long as he holds an open class, there will be no shortage of people.

Wang Hao was still a little depressed about the content of the explanation, because it was connected to the content of the morning class, and most people did not understand the morning class.

He still thought of a way.

Many teachers and students in the audience also wanted to see how Wang Hao was going to start the course.

At this time, Wang Hao said with a smile on his face, "This class is a connection

Mr. Jones's lesson starts with the four-dimensional space."

"But before we get into the lesson, let's review the morning lesson."

He officially entered the lecture.

Of course, Wang Hao will not explain the content of the morning again, he just points through the knowledge, and then writes several conclusions and methods that need to be used on the whiteboard one by one.

This process took about half an hour.

Although there is no specific explanation, the conclusions and methods of the morning knowledge points are repeated several times in a row, and time is given for students to record them carefully.

Then it's time for the formal presentation.

At this time, when you enter the next step of content explanation, it becomes much smoother.

"Under the premise that the speed of light remains unchanged, the constructed special relativistic view of space-time has reshaped human cognition of the universe."

"Space and time are no longer isolated from each other, but are linked together by the movement of matter, forming an inseparable whole.......

"After establishing a new view of time and space, there must be a more elegant form of mathematics that unifies 'three-dimensional space and one-dimensional time, under the same framework, which is what we have heard of as one-four-dimensional space-time."

「........」

After the introduction of the opening part, the course is moving into the full-scale contents.

There are a lot of complex mathematical analysis content in the middle, and Wang Hao will explain in detail the key and difficult problems.

If he encounters something related to the morning lesson, he will quote the conclusions and methods listed on the whiteboard directly to make the students understand better.

With the improvement of the understanding of "Teaching Feedback", most of the graduate and doctoral students in the classroom can still understand it roughly.

Undergraduates who do not have a foundation will be able to understand the general content.

When you find that you can understand such profound knowledge, it will undoubtedly arouse the interest of students, and they will naturally listen more carefully.

This also allowed Wang Hao to get a lot of 'knowledge and understanding gifts, even more than he expected, because some of the knowledge-related content of Paul Phil and Jones's explanations were also directly fed back to him.

Wang Hao was very surprised, and when he took a break in the middle of the class, he understood it after thinking about it carefully.

Because everyone doesn't understand the knowledge explained by Paul Phil Jones, and he lists the relevant content on the whiteboard, and constantly quotes, it can naturally drive the thinking and understanding of relevant knowledge.

Now I feel that after an hour of teaching, the knowledge and understanding of the feedback can always be increased.

"That's not bad!"

"It seems helpful to have Paul lecture in advance........

"Although the students didn't understand, it didn't prevent me from improving the efficiency of my teaching feedback."

Wang Hao thought a little weirdly.

Paul Phil and Jones sat on the side of the first row and listened carefully, and he found that Wang Hao's explanation was really good, which made him feel very rewarded.

There are some contents that I didn't understand so deeply before, and I didn't think so much, but after Wang Hao explained, I felt that I understood it more thoroughly.

Such a small gain is difficult for Paul Phil Jones to see, because most of the knowledge content is meaningless to him.

He was depressed and didn't see what was going on in the morning.

During the break, he looked back and saw that not a few students had left, most of them had stayed in the classroom, and everyone was listening attentively.

By the end of the lesson, nearly three hours later, the classroom was still packed, even more than at the beginning, because there were more than twenty students standing in the last row, apparently who walked in later and couldn't find a seat.

He thought about the situation in the morning, and suddenly he felt a sense of restlessness.

Lecture on your own, and the students are gone.

Wang Hao's lecture was still connected to his own content, and the students not only did not leave, but also listened with relish, and more and more people came.

The gap is too big.

When the class was over, Paul Phil-Jones walked out of the classroom feeling a little depressed.

Wang Hao saw him with a sad look, of course he knew why, but he still felt that he still had to give a comfort, "Paul, don't care."

"Actually, the reason why there are so many students in my course is only because this is China and I am very famous."

"Is that so?"

Paul Phil-Jones was a little incredulous, because he thought about the situation where the students were leaving halfway through the lesson, "Then why .......?"

Wang Hao waved his hand vigorously and said, "It's normal. That may have something to do with your Chinese skills, not how poor your teaching skills are."

"Oh~~"

This explanation made Paul Phil-Jones stunned.

That's right!

Mainly because his Chinese level is not standard, some esoteric knowledge is explained, students may not understand.

He suddenly became motivated again, "I have decided, Wang Hao."

"Since today, I have worked hard to learn Chinese, but it is not enough to be able to speak Chinese and communicate. I want my pronunciation and spoken expression to be correct and reach the level of ordinary Chinese!"

"Come on!"

Wang Hao gave him a thumbs up.

Paul Phil-Jones nodded firmly, he was really envious of Wang Hao's lectures with so many people coming to listen, and hoped that he would be able to reach this height one day.

This is another kind of achievement that distinguishes it from scientific research!

He is extremely looking forward to his Chinese improvement, and so many students will listen carefully when he lectures.

........

Paul Phil-Jones' work life is indeed very fulfilling, in addition to being motivated to learn Chinese well, he also works hard to do research.

His research direction is to continue to analyze the annihilation force, and the method is to start from the decay problem, and analyze other decay problems based on the higher dimension of the annihilation force to see if there are new discoveries.

Even if there is no discovery to analyze annihilation in a new mathematical form, it is still a contribution to the annihilation theory.

In fact, there are some physicists in the world who have begun to do similar research.

Wang Hao and Paul Phil Jones discovered new particles in the process of analyzing the decay of a particle, and there are many particles that can decay.

Each kind of decay particle can be analyzed in a new way, because there are already traces to follow, and the study is like 'substituting a formula', but the basic requirements are relatively high.

If the correct mathematical logic can be shaped, it is possible to find new particles in combination with the Yang-Mills equations.

Wang Hao has no interest in this research.

As the founder of the theory of annihilation, it is impossible for him to study everything on his own, but it is enough to study the decay of particles.

The most important thing about this study is to give the basis for the 'annihilation force dimension to be higher than the other three microscopic forces.'

On this basis, other scholars carry out extended research, and it is natural that the higher the results, the better, and the higher the results, the further the distance to confirming the annihilation power.

For him personally, there is only good and no harm.

It is impossible for a single scholar to complete the entire research of the content of each physical theory, and more scholars must be involved in order to jointly improve the theory.

Wang Hao has no definite direction for the next step of research, and his work and life are relatively leisurely.

Occasionally, he discussed with Birkar the simplification of semi-topological micromorphological geometry; Occasionally pay attention to the research of Paul Phil-Jones; Occasionally, I would go to the calculation team to keep an eye on the progress of the work on the relationship between the elements and so on.

It was a big day.

A new issue of Acta Mathematica Sinica has been released

The content of Qiu Hui'an's Lerangde conjecture proof was published, which immediately aroused heated discussions in the international mathematical community.

The proof of every conjecture in the field of number theory can be said to be a mathematical achievement of international level.

This proof was completed by Qiu Hui'an, and the corresponding author's name is Wang Hao, so naturally many people discuss who Qiu Hui'an is...

Then they learned that Qiu Hui'an was a student of Wang Hao, and he was only a graduate student.

This news has aroused heated public opinion at home and abroad, "Wang Hao's graduate student has been able to complete the proof of Legend's conjecture!"

"Qiu Hui'an, remember this name, future number theory master!"

"As a student of Wang Hao, he has already proven the problem of number theory when he is still in graduate school!"

"A paper published in Acta Mathematica Sinica as a master's thesis? What could be more perfect?"

This paper can win the Zhong Jiaqing Mathematics Award of the Mathematical Society, right?"

"Not to mention the Zhong Jiaqing Mathematics Prize, it's enough to win the International Mathematics Award!"

The heated discussion of public opinion at home and abroad has naturally also affected Xihai University.

Yan Fudu of Xihai University came to see Qiu Hui'an, awarded him a bonus of 500,000 yuan on behalf of the school, and even promised to stay in the university to arrange an associate professor position.

"Xiaoqiu, you can be an associate professor at the school while studying for a doctorate, and after graduating with a doctorate, you can directly become a full professor!

"Don't worry, there will be the treatment you deserve, you are not from Northern Xinjiang Province, and the school will give you a placement fee after graduation..."

"The university will give the best care to talents.......

It's obvious.

After the paper was officially published, Qiu Hui'an's worth was completely different.

Before, he was just a graduate student, even if he was a graduate student led by Wang Hao, but in essence, he was just a student, but now he has become a talent that colleges and universities compete for.

Yan Fu gave a lot of promises in private, but he was still not at ease about Qiu Hui'an's whereabouts, and he went to Wang Hao to ask.

Wang Hao's only indication was, "Qiu Hoi An will continue to follow me to study for a doctorate."

Not the rest.

In fact, Wang Hao doesn't care about Qiu Hui'an's stay or stay, it's good to have a genius student who follows him in Xihai University, but leaving to work in other universities after becoming famous has no effect on him.

The school is indeed to develop, but the development of the school is not to retain all talents, but more importantly, to be able to continuously cultivate talents.

.......

Soon.

Another week passed.

Wang Hao was leisurely drinking coffee in the office when he heard a report that someone had come over, and he remembered it for a while, and it seemed that Shen Cheng had contacted him in advance.

He entertained guests in his office.

The person who came was Zeng Haiyu, a researcher at the Shencheng Aero Engine Research Institute.

Zeng Haiyu is about fifty years old, and after he met Wang Hao, he took the initiative to introduce himself, "Professor Wang, hello, Zeng Haiyu from my Aviation Research Institute."

Wang Hao politely let Zeng Haiyu to the sofa, and then turned around to make a cup of tea to entertain him.

Zeng Haiyu also talked about the purpose of coming, they are designing a new type of aero engine, "We hope to improve on the original basis, design and manufacture an aero engine that reaches the international top level."

"However, there was a problem calculating the boost efficiency of the fan blades."

Zeng Haiyu said with some distress, "Calculation, it's too complicated. If we can improve the accuracy of the calculation results, we can design a better solution, Professor Wang, you know, this is ......."

He shook his head as he spoke.

If an aero engine is compared to a jet balloon, the greater the internal pressure, the faster the balloon will naturally fly, and the air in the engine usually needs to be compressed by multi-stage compressor blades in order to obtain a higher boost ratio and generate more thrust.

Then, it is important to improve the boost efficiency of the fan blades.

However, in order to improve the boost efficiency of fan blades, more rational design is required, and design involves complex calculations.

The problem for Zeng's team was that they had several design plans, but there was no way to determine which one was more suitable, in other words, which one had the more efficient boosting of the fan blades.

"This design is very important, and it directly determines the main direction of the engine interior."

"There is a lot of discussion within the institute, but there is no definite conclusion. But we did a lot of calculations, and the results were ......."

He was a little embarrassed as he spoke, "It's different every time."

Wang Hao thought for a while, frowned and asked, "So, you have several schemes, and you want to know through calculations, which scheme has a higher fan design boost?"

"Yes."

Zeng Haiyu nodded affirmatively.

"I still don't understand." Wang Hao thought about it and said, "The wind pressure of the impeller machinery involves fluid mechanics, and some need to substitute the values to do approximate calculations, because the difference in the substituted values will also lead to deviations in the calculation results, which will be generated, and the results are different every time, right?"

Zeng Haiyu continued to nod, "That's right, the results of our calculations have been different several times in a row, and we can't determine which plan is better."

Wang Hao was suddenly puzzled, "I don't understand this. If manual calculations can make mistakes, why don't you use computer simulations?"

"If you use a computer and substitute a large number of values for simulation calculations, even if the deviation range is larger, but there is a lot of data, you will naturally know which scheme is better, right?"

It's a matter of probability.

For example, if you compare option 1 with option 2, the value of option 1 is higher, and the value of option 2 is higher.

So to calculate the substitution values one by one, it is naturally difficult to draw a conclusion about which scheme is better.

If you use computer simulation, substitute the number of '1-10000 in one go, of which there are 8,000 kinds of better options for scheme 1 and 2,000 kinds for scheme 2 that are better, and naturally scheme 1 will become the best choice.

Zeng Haiyu wanted to vomit blood a little when he heard it, he opened his mouth and didn't know what to say, looking at Wang Hao, he even had a kind of 'why not eat minced meat,' look.

We're all starving to death, and why don't we eat meat, you ask?

Computer simulation calculations?

They even do manual calculations, they waste a lot of effort, if they can have high-end computer simulation operations, but also use time-consuming and laborious manual calculations?

-WAP.. COM- to view