From Almighty Scholar to Chief Scientist

Chapter 125 Mathematical Black Hole
Leaving from the International Mathematical Center again, Lin Xiao now has the leisure to stroll around the Weiming Lake.

Although it was almost October, the sun was still in the sky, telling the world that it was still hot.

The sparkling water on the Weiming Lake made him blink his eyes from time to time, and the surface of the lake that brought a little wind and waves from time to time also made Lin Xiao fall into thinking, how does the fluid move?
Like the Navierstock equation, it is the equation of motion describing the momentum conservation of viscous incompressible fluids. Whether it is air flow or water flow, their motion can be described and predicted by the Navierstock equation.

Obviously, it provides extremely great research help to the study of fluid mechanics, but even so, people can only use it, but they cannot really know its secret, that is, the existence and smoothness of its solution.

It's still full of mysteries.

"Oh, mathematics and physics are really difficult."

Lin Xiao sighed with emotion, but he didn't know that other people, such as Professor Cao Chengqing and those graduate students and postdoctoral fellows just now, would probably have to complain a little more if they heard what he said.

Returning his gaze back to the natural world in front of him, it is impossible for Lin Xiao to understand all the data in it from the appearance, unless there is a quantum computer hidden in his mind, which can include all the particles in the lake in front of him and simulate them motion calculations.

But obviously, there is only a system in his mind that usually doesn't say anything.

"Hey, helper, helper, you haven't helped anything yet."

After making a complaint, suddenly, he thought of the cat at home again, "Well, it seems that I forgot to check if there is any water when I went out...then go back and check."

Then he turned around and planned to leave here.

However, at this moment, a girl in a light blue JK suit walked towards him.

Bai Shengsheng's two legs under the skirt attracted the attention of many boys around her, and she was also very beautiful, her skin under the sun seemed to be broken by blows.

She walked to Lin Xiao's side, and asked with a smile: "Hello Lin Shen, can I ask you a question?"

Lin Xiao was taken aback for a moment, then turned his head and glanced at the girl, is there a problem?

As for being recognized, he didn't think much about it. There are too many people in Beijing University who can recognize him.

"You said."

He didn't refuse either, and said directly.

"It's about functional analysis, Lin Shen, you should be able to solve it easily, right?"

The girl picked up the notebook in her hand, and a question was written in delicate characters on it.

【If T is an unbounded closed operator on Banach space X, prove that the domain of T can only be dense in x at most. 】

Lin Xiao took a brief look, then glanced at the girl strangely: "You are not from the Department of Mathematics, are you?"

"Ah? I am! I'm in Class 2, Mathematics Department, junior year." The girl was stunned and replied.

Lin Xiao glanced at her sympathetically, and said directly: "By the method of proof, if T is a closed operator defined on the entire space X, since X is a closed set and it is also a Banach space, it can be known from the closed image theorem that T is A bounded closed operator from X to X is contradictory to T being an unbounded closed operator, and the original proposition holds.”

When the girl heard it, her face immediately showed admiration, and she clapped her hands: "Wow! As expected of Lin Shen, he made it so quickly!"

Lin Xiao shook his head: "Normal people from the mathematics department should be able to do it quickly. You said you are from the mathematics department. You must have failed many subjects before, right?"

girl:"……?"

Is there such a chat?
As soon as you come up, you will hit people...

She really failed several subjects.

She kept a forced smile on her face, and said, "God Lin, can you even guess this? That's amazing!"

"There's no need to guess. You can't do this question if you study hard." Lin Xiao waved his hand, "Okay, I wish you...good luck."

Hope you can graduate smoothly.

Then, he was leaving.

Seeing that Lin Xiao was about to leave, the girl hurriedly said, "Shen Lin, since I'm so bad at math, can you help me with my tutoring?"

Lin Xiao walked faster, "No need, I have to go back to take care of my cat. If you have any questions, please ask the teacher."

Just kidding, she actually has to ask herself a question that can be posed in such a sentence. If this is a counseling, I am afraid that people will be numb.

Isn't this a mathematical black hole?He even ran over to learn mathematics.

Get away as soon as possible.

Seeing that Lin Xiao left without mercy, and even said that she had to take care of the cat, she couldn't believe it for a while. Is it so important to take care of the cat?

Or is it that she is not dressed beautifully today?
But looking at Lin Xiaona's back that was gradually walking away, she had doubts about her appearance for the first time.

……

Lin Xiao, who returned to Yanbei Garden, arrived at the door of the room and was holding the key to unlock it. As a result, the sound made by the key seemed to attract the little creatures inside, and then he heard a 'meow' coming from inside.

He picked up speed and opened the door.

Mimi was already squatting inside the door, raising her beautiful crystal blue eyes to look at him, her beautiful face was so beautiful that one couldn't help but touch it.

Lin Xiao squatted down and picked it up directly.

He has now mastered the technique of holding a cat, that is, stretching out one hand to its chest, pressing the other hand on its buttocks, and then hugging it, so that the cat is very comfortable, and people can feel the cat's fur The body is full of the taste in the chest.

"Mimi, miss me?"

He lowered his head, took a breath on Mimi's body, and then carried it into the bedroom.

Its food bowl was placed in the bedroom. After looking at it, there was no water, but there was still cat food. He added a little water to make Mimi drink, then sat down at the desk, turned on the computer, and started Organize your thesis.

[Relationship between energy storage function and medium propagation velocity]

【Abstract: This paper demonstrates that the dominant behavior of the energy storage function of any expansion strain is determined by the propagation velocity of the medium through the limitation of a class of zero-energy conditions in the energy storage function...】

This paper is not long, as Tang Qing said before, it can be done in less than a few pages.

So he sorted it out very quickly.

Not long after, he finished sorting out, and then logged into the official website of "AML", found the submission method and format requirements, first modified the format, and then looked at the submission method and so on.

"Can it be posted on ArXiv?"

Seeing the prompt above, he thought about it and entered ArXiv.

ArXiv is a preprint website, which mainly provides a place for authors who have not yet published their papers to share them in advance. If someone still makes the same or similar results a few days later, it will naturally not be published, so ArXiv can be regarded as a kind of copyright occupation.

However, this may lead to ArXiv being filled with various low-quality papers. For example, a big guy predicts that a certain direction will become a hot research field in the future, so someone will preemptively publish a lot of papers in this direction on ArXiv. Low-quality papers, if people who want to study seriously later need to cite these papers, this has also led to many scholars denouncing this situation.

Lin Xiao didn't care so much, and soon after registering his account, he uploaded the paper.

Then, he wandered on it.

"Huh? Goldbach's conjecture?"

Suddenly, he noticed a paper whose title was about the distribution of prime numbers.

He looked at the summary and was taken aback, [So the twin prime conjecture is correct...so Goldbach's conjecture is correct].

"Good guy, isn't this another Minke player?"

He couldn't help but opened it to take a look, and sure enough, it was full of mistakes and omissions.

"There are also fakes on ArXiv."

He shook his head, and then thought about Goldbach's conjecture.

Before, in the communication with Professor Xu Ji, he became interested in Goldbach's conjecture.

As Professor Xu Ji said, Goldbach's conjecture is both a problem of number theory and a problem of prime numbers. As a person who has solved two problems of number theory and prime numbers, he is indeed interested in this kind of world problem.

Taking out a piece of scratch paper and a pen, he wrote down the expression of Goldbach's conjecture on the scratch paper.

【p1+p2=m】

That is, any even number greater than 2 can be expressed as the sum of two prime numbers.

In a letter to Euler in 1742, Goldbach proposed that any integer greater than 2 can be written as the sum of three prime numbers. He asked Euler about this problem, but Euler could not understand it, and in his reply he proposed Goldbach's conjecture, which is commonly recognized in modern times, is the above Goldbach's conjecture about even numbers.

Therefore, this inadvertently raised question has once again become a question that lingers on the minds of every scholar in the mathematics field. In this way, this question has survived Euler and Chen Jingrun until now.

Of course, there have been many achievements in the process, such as the "1+2" ​​proved by Chen Jingrun, and the weak Goldbach's conjecture thoroughly proved in 2013, that is, any odd number greater than 7 can be expressed as three odd prime numbers Sum.

However, Jan Goldbach's conjecture requires even numbers, and this is only a change of parity, but the research on it has completely stagnated in the mathematical community. So far, no related results have been born.

Lin Xiao thought briefly, and finally decided to read other people's papers to find inspiration.

So he directly found the paper proving the weak Goldbach conjecture in 2013, and looked at it.

In this way, time passed slowly.

……

United States, New York.

"Applied Mathematics Letters" editorial board.

"I have received another paper, let me see which country it is from."

Editor Albert saw the message that popped up in the background of the website, so he said it.

"I bet one dollar, it belongs to Hua Guo."

Another editor, Mike, responded with a smile.

"Bingo! Congratulations, you won the bet, and you can get your dollar back."

Albert said with a smile, as the journal ranked 265th among the 8 journals in the field of mathematics, they also often receive various submissions, and among them, the submissions from Huaguo are the most, probably Huaguo There is more emphasis on the condition of review speed.

Then, he opened the paper.

(End of this chapter)