From University Lecturer to Chief Academician

Chapter 35 No one knows equation solving better than me

After deciding to submit the paper to a professional conference, Wang Hao immediately began to consult the relevant content of the international academic conference.

soon.

He locked a meeting - STACS.

STACS, full name Symp-on-Theoretical-Aspects-of-Computer-Science, is a computer science theoretical seminar held in Germany and France every year in turn, and it is also a world-class conference in the field of computer algorithms and theory.

The 'Large Number Multiplication Algorithm' belongs to the field of computer algorithms, and it is directly related professionally.

The STACS meeting will be held next month, and next week is the deadline for STACS to accept academic papers.

Wang Hao does not want to be delayed for half a year for submission, and STACS just meets his requirements.

If the paper fails the preliminary review of STACS, it can also be considered for other conferences. He studied the STACS rules, edited the paper carefully and submitted it.

Submission is complete, all that remains is to wait.

Wang Hao has a lot of things to do. For the research of partial differential equations in "Task 1", he can't wait a long time ago. He has completed the paper and submission of "Large Number Multiplication Algorithm", and is ready to start new content as soon as he is free.

Saturday morning.

I went out to exercise early, had breakfast and walked around, and then turned on the system when I got home to check the task status.

【Task 1】

【R\u0026D Project Name: Common Solution of Specific Partial Differential Equations (Difficulty: B.)】

[Inspiration value: 102. 】

(Hint: You can use 100 inspiration points to assist in obtaining R\u0026D-related inspiration and knowledge.)

"Do you want to use inspiration points?"

Wang Hao still hesitated for a while. For a research and development task with B-level difficulty, without any inspiration value, it is equivalent to a teaching coin.

He glanced at the teaching currency value--

[Teaching currency: 228. 】

"It's still very little!"

The system explains that to acquire the next ability, 10,000 teaching coins are needed. Judging from the current accumulation speed, it takes one month to 'frugalize food and expenses'. Some researches rely entirely on brains, and only save more than 200 teaching coins .

10,000, how long will it take?

fifty months?

"It seems to be okay." Wang Hao calculated carefully, and decided to use the inspiration point in spite of his heart.

Anyway, it's far away from 10,000 teaching coins.

He has tried to think on his own, and found that there are a lot of inspiration and knowledge in his mind, and it is not easy to organize them into a specific research and development route.

"use!"

At the moment of issuing the instruction, the knowledge and inspiration about partial differential equations quickly formed a clear context in my mind.

There is a direction.

However, Wang Hao was not happy at all, and even his face turned dark. He finally understood why the speed of obtaining inspiration for this research has always been very low, and after the inspiration value reached 100 points, he still couldn't find a certain direction.

The knowledge, inspiration, and clear context formed in the mind can be simply summarized into two, one is the research on the solution of thirteen types of partial differential equations.

The other one, under certain conditions, proves the regularity of the Monge-Ampere equation.

The latter is a very good direction. As long as the proof is completed, the paper can definitely be submitted to a core journal.

The former is the root cause of the lack of direction in research.

Research on the solution of thirteen kinds of partial differential equations?

Thirteen categories?

Each category can be said to be a small study, and it is no wonder that the thirteen categories are grouped together in chaos!

Wang Hao felt a little headache.

Although it is good news that there are clear research directions, and there are many research directions, the thirteen researches related to the solution of partial differential equations are too many, and it is a difficult task to record them all.

This is not solving a high school math problem. Each direction represents "a class of partial differential equation solving problems", and partial differential equations are very complicated.

"Thirteen categories..."

"Some are approximate solutions, some are exact solutions, some are fast solution methods, and some study the space asymptotic properties on semi-infinite regions."

"It's a little troublesome!"

Wang Hao has always felt that he fell in love with research, but now facing so many directions, he couldn't help but scratch his hair hard.

No pain No gain!

Hard work will pay off!

As long as you work hard every day, the boss will be able to drive a better car... Ahem.

Skip the last sentence.

"After completing this estimate, you can tell the outside world... Is there anyone who knows how to solve partial differential equations better than me?"

Wang Hao took pleasure in the bitterness and regained his strength. After sorting out his things, he went straight to school. He thought of a good place to do research——

The school library of the laboratory building of the Faculty of Science.

The environment there is very good, there is an atmosphere for learning and doing research, there are a lot of professional books for reference, and you can save electricity and use the air conditioner for free.

...

In the morning, Wang Hao stayed in the small library.

I went to the cafeteria to have lunch at noon, and continued to work hard when I came back, constantly outputting and recording the content in my mind.

It's two o'clock in the afternoon.

Wang Hao felt exhausted for a while, so he just lay down on the table and fell asleep for a while. He only woke up when he heard movement next to him.

Zheng Yaojun found a book and put it on the opposite table.

Wang Hao was awakened by the noise. He picked up his phone and checked the time. After sleeping for about half an hour, his arm was numb from the pressure, so he quickly shook it a few times.

"Sorry, didn't pay attention."

Zheng Yaojun touched the back of his head and apologized, then asked, "Wang Hao, why are you sleeping here?"

Wang Hao rubbed his wrists and said, "I was a little sleepy just now." He raised his head only to find that Zhou Qingyuan was sitting opposite him, and he even nodded his head towards this side.

The three of them did not speak, each doing his own thing.

After more than ten minutes, Zheng Yaojun suddenly called Zhou Qingyuan, also called Wang Hao and said, "I am studying the regularity of canonical measures in Riemannian geometry and complex geometry, but the premise is to prove its existence."

"Some specific geometries have been proven. I want to find a quick way to connect the regularity problem with existence. In your opinion, where is a class of equations and functions better to start with for similar problems?"

Zheng Yaojun scratched his head and said, "It's the problem of my research project. I have been thinking about it for the past few days. I have ideas for expansion, but I can't find an entry point."

"this problem……"

Zhou Qingyuan thought for a while and hesitated, "Perhaps we can consider starting with the analysis of Riemannian geometry? There are many analyzes in this area, and you can find some references."

Zheng Yaojun raised the book in his hand to show it. It was an English book with the word "Riemannian" in the title, "It's the same as I thought."

Wang Hao also thought about it carefully, followed the train of thought to find the correlation, and gave a suggestion, "Have you ever considered starting with the Yau-Tian-Donaldson conjecture?"

"Yau-Tian-Donaldson conjecture?" Zheng Yaojun was a little surprised, he hadn't thought in this direction.

"right!"

Wang Hao said along the train of thought, "Yau-Tian-Donaldson conjectures that the existence of extreme value metrics on compact complex manifolds is equivalent to the stability of manifolds in the sense of geometric invariants. The next step is to carry out K-stabilization on circular manifolds. properties, and then we can relate to the problem of the existence of canonical degrees in complex geometry..."

He mentioned a direction of thinking.

No one knows whether this kind of research direction thinking is correct.

He just thinks that starting from the Yau-Tian-Donaldson conjecture, there is hope to cut into the existence and regularity of specific geometry. Whether it will be helpful to the research in the future is completely unknown.

After all, it was Zheng Yaojun's research content.

Zheng Yaojun listened patiently, then immediately took notes, and after thinking carefully for a while, he raised his head and said, "Wang Hao, thank you, I think this idea can be tried." He asked with interest, " How did you come up with this idea?"

Before Wang Hao could say anything, he continued, "I always thought that in the university, that is, Professor Zhou, could give me advice on the research of partial differential equations, but I didn't expect..."

He said and shook his head.

"What about me..." Wang Hao almost scolded his mother in anger, he knew that he shouldn't talk to Zheng Yaojun.

This guy is sick!

Zheng Yaojun got the inspiration, packed up his things excitedly and left. Before he left, he didn't forget to thank Wang Hao again, which can be regarded as saving a little bit of his poor image.

When Zheng Yaojun walked out of the room, Zhou Qingyuan couldn't help bursting out laughing, covered his mouth and shook his head at Wang Hao, "Don't bother with him either. That's just how he is, he can't speak. It probably wasn't intentional."

"I know him. It was like this last time. He kept showing off his projects, with hundreds of thousands of funds." Wang Hao also laughed.

He knew what Zheng Yaojun was like, so he just took it as a joke.

"Yes, the office has said it several times." Zhou Qingyuan walked over with a smile, wanting to see what Wang Hao was researching.

Wang Hao believed in Zhou Qingyuan's character very much, so he showed him the manuscript without hesitation. When he first crossed over, it was Zhou Qingyuan who came to stop him from jumping off the building...

That memory is not very good.

Zhou Qingyuan picked up a few pages and read them carefully for a long time, and commented, "Quickly solve the equation? This method is interesting!"

He picked up a few more pages and continued to read. When he was tired from standing, he sat next to him and commented, "Study the space asymptotic properties of equations in semi-infinite regions..."

"not bad!"

He read faster, and changed the page after a few glances. Finally, he couldn't help but stare, "No way? Wang Hao? It's all about solving equations?"

"Three, four?"

"You are..."

Wang Hao said indifferently, "Just to study the problem of solving various types of partial differential equations."

"But, it's too much!"

"There are a few more, in the back of my mind, and I'm thinking of putting them together for a big dissertation on the solution of partial differential equations."

"..."

Zhou Qingyuan was stunned when he heard that, and he finally managed to hold back a sentence, "I dare say, once your paper is published, no one will dare to say that you know better about solving partial differential equations than you."

Wang Hao nodded approvingly, "I think so too."

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