Chapter 35 Nobody Knows Equation Solving Better Than Me
After deciding to submit his paper to a professional conference, Wang Hao immediately began to read relevant content of international academic conferences.
soon.
He locked a conference - STACS.
STACS, which stands for Symp-on-Theoretical-Aspects-of-Computer-Science, is a computer science theoretical seminar held alternately in Germany and France every year. It is also the world's first-class conference in the field of computer algorithms and theory.
‘Large number multiplication algorithm’ belongs to the field of computer algorithms and is directly relevant professionally.
The STACS conference will be held next month, and next week is the deadline for STACS to receive academic papers.
Wang Hao didn’t want to be delayed for half a year in submitting his manuscript, and STACS met his requirements.
If the paper cannot pass the preliminary review of STACS, you can also consider submitting it to other conferences. He studied the STACS rules, carefully edited the paper and submitted it.
Submission is complete, all that’s left is to wait.
Wang Hao has a lot of things to do. He has been impatient for the research on partial differential equations for 'Task 1'. He has completed the paper on 'Large Number Multiplication Algorithm' and submitted it. He is ready to start new content as soon as he has time.
Saturday morning.
I went out to exercise early, had breakfast and walked around. When I got home, I opened the system and checked the task status.
【Task 1】
[R&D project name: Common solutions to specific partial differential equations (Difficulty: B.)]
[Inspiration value: 102.]
(Tip: You can use 100 inspiration points to assist in obtaining R&D-related inspiration and knowledge correlation.)
"Should we use inspiration points?"
Wang Hao still hesitated. A B-level difficulty research and development task without any inspiration value is equivalent to a teaching coin.
He glanced at the value of the teaching coin--
【Teaching Coin: 228.】
"It's still very few!"
The system explains that to obtain the next ability, you need 10,000 teaching coins. Judging from the current accumulation speed, you can "save money and save money" in a month. Some research relies entirely on your brain, and you only save more than 200 teaching coins. .
Ten thousand, how long will it take?
Fifty months?
"It seems okay." Wang Hao calculated carefully and decided to use the inspiration value.
Anyway, we are still far away from 10,000 teaching coins.
He has tried to think on his own, and found that there is a lot of inspiration and knowledge in his mind, and it is not easy to organize it into a specific research and development route.
"use!"
At the moment when the instruction was issued, the knowledge and inspiration about partial differential equations quickly formed a clear context in my mind.
The direction is there.
Wang Hao, however, was not happy at all, and his face even turned a little dark. He finally understood why the inspiration acquisition speed of this research was always very low, and even after the inspiration value reached 100 points, he still could not find a definite direction.
The clear context formed by the knowledge and inspiration in my mind can be simply summarized into two items. 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 will definitely be submitted to a core journal.
The former is the fundamental reason why research has been directionless.
Research on the solution of thirteen types of partial differential equations?
Category 13?
Each category can be said to be a small study. It’s no wonder that the thirteen categories are grouped together and there is 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 number of thirteen research related to the solution of partial differential equations is really too much, and just recording it is an arduous task.
This is not solving a high school math problem. Each direction represents a "type of partial differential equation solution problem," and partial differential equations are very complex.
"Category Thirteen..."
"Some are approximate solutions, some are exact solutions, some are fast solution methods, and some are to study the asymptotic properties of space in the semi-infinite region."
"It's a bit troublesome!"
Wang Hao has always felt that he fell in love with research, but now facing so many directions, he couldn't help but pull 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 estimation, we can also say to the outside world... no one knows how to solve partial differential equations better than me?"
Wang Hao took pleasure in the pain and regained his determination, packed up his things and went straight to school. He thought of a good place to do research -
The school library in 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 on electricity bills and use air conditioning for free.
…
In the morning, Wang Hao has been staying in the small library.
I went to the cafeteria for lunch at noon, and continued to work hard when I came back, constantly outputting and recording the contents in my mind.
Two o'clock in the afternoon.
Wang Hao felt waves of exhaustion, so he simply 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 placed it on the table opposite.
Wang Hao was woken up by the silence. He picked up his phone and checked the time. He had been asleep for about half an hour. His arm was a little numb from the pressure, so he shook it hard a few times.
"Sorry, I didn't pay attention."
Zheng Yaojun rubbed the back of his head and apologized, then asked, "Wang Hao, why are you sleeping here?"
Wang Hao rubbed his wrist and said, "I was a little sleepy just now." He raised his head and found Zhou Qingyuan sitting opposite, and nodded towards this side.
The three of them didn't speak, each doing their own thing.
After more than ten minutes, Zheng Yaojun suddenly called Zhou Qingyuan, and 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 proved. I want to find a quick way to connect regularity problems with existence. Do you think, for similar problems, which type of equations and functions is better to start with?"
Zheng Yaojun scratched his head and said, "It's a problem with my research project. I've been thinking about it these past few days. I have ideas for expansion, but I can't find an entry point."
"this problem……"
Zhou Qingyuan thought for a moment and hesitated, "Maybe we can start with Riemannian geometry analysis? There are many analyzes in this area, 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 just like what I thought."
Wang Hao also thought about it carefully, followed the idea 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 suddenly surprised. He had never thought about it in this direction.
"right!"
Wang Hao followed the train of thought and said, "Yau-Tian-Donaldson conjecture, the existence of extremal measures on compact complex manifolds is equivalent to the stability of the manifold in the sense of geometric invariants. The next step can be to carry out K-stability on circular manifolds.
The study of canonicality can then be related to the issue of the existence of canonical degrees in complex geometry..."
He gave a direction for thinking.
No one knows whether this kind of thinking in the direction of research is correct.
He just feels that starting from the Yau-Tian-Donaldson conjecture, he hopes to be able to break into the existence and regularity issues of specific geometry. Whether it will be helpful for subsequent research, he has no idea.
After all, it is Zheng Yaojun’s research content.
Zheng Yaojun listened patiently, and then immediately took notes. He thought carefully for a while, then 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 the idea?"
Before Wang Hao could say anything, he continued, "I always thought that Professor Zhou in the university could give me advice on the study of partial differential equations, but I didn't expect..."
He said and shook his head.
"What the hell..." Wang Hao was so angry that he almost cursed his mother. He knew he shouldn't talk to Zheng Yaojun.
This guy is sick!
Zheng Yaojun got the inspiration, packed up his things excitedly and left. Before leaving, he did not forget to say thank you to Wang Hao again, which saved his poor image a little bit.
When Zheng Yaojun walked out of the room, Zhou Qingyuan couldn't help laughing anymore, covering his mouth and shaking his head at Wang Hao, "Don't argue with him. He is just like this, he can't speak. It shouldn't be intentional."
"I know he was like this last time, always showing off his projects with hundreds of thousands of dollars in funding." Wang Hao also laughed.
He knew what Zheng Yaojun was like, so he just treated it as a joke.
"Yes, I have said it several times in the office." Zhou Qingyuan walked over with a smile, wanting to see what Wang Hao was studying specifically.
Wang Hao believed in Zhou Qingyuan's character and showed him the manuscript casually. When he first traveled through time, 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, then commented, "Quickly solve equations? This method is interesting!"
He picked up a few more pages and continued reading. When he got tired from standing, he sat down next to him and made another comment, "Study the spatial asymptotic properties of equations in the semi-infinite region..."
"not bad!"
He read faster, scanning a few times before changing the page. Finally he couldn't help but stare, "No way, Wang Hao? It's all about solving equations?"
"Three, four?"
"What are you..."
Wang Hao said nonchalantly, "I just want to study the solutions to various types of partial differential equations."
"But, it's too much!"
"There are several more. In my mind, I am thinking of putting them together and writing a big paper on solving partial differential equations."
"..."
Zhou Qingyuan was stunned when he heard it. It took him a long time to hold back a sentence, "I dare say that once your paper is published, no one will dare to say that they know more about solving partial differential equations than you."