Chapter 82 Stuck Idea
The sudden inspiration made Xu Chuan swallow the cold medicine in his hand. The warm and slightly bitter medicine in the cup now became extremely sweet, as refreshing as a cup of honey water.
Putting down the cup in his hand, he took out a stack of pen and paper from the drawer, spread it out on the table and began to calculate.
He has figured out the weakened form of the Weyl-Berry conjecture, but it does not mean that the difficulty of proving the Weyl-Berry conjecture has become simpler.
This is like the weak Goldbach conjecture that was solved by two mathematicians in May of 2013, but today is already November of 2015, and more than two years have passed, but brother The complete proof of Debach's conjecture is still far away.
Xu Chuan also does not feel that he can solve the Weyl-Berry conjecture in a short time after proving the weakened form of the Weyl-Berry conjecture.
Even if he had some mathematical knowledge from his previous life, and even if he had solved the weak Weyl-Berry conjecture, he didn't think he could solve the complete Weyl-Berry conjecture in a year or two.
But mathematics really depends on inspiration sometimes.
When you don't have enough inspiration, it's like writing a novel without updating, and you can't write a chapter for a month due to constipation.
Inspiration comes, and when the basic knowledge is solid enough, you will quickly be able to solve one problem after another.
The black pen in his hand continued to outline characters one by one on the white A4 paper.
". Starting from Weyl's Theorem 3.2, construct a bounded and connected open set Ω. Let Ω be a bounded connected region in R (n ≥ 2) that satisfies the above condition (C), and its boundary has the inner Minkowski dimension δ∈ (n-1, n), then there is λ→+∞, and there is:
N(λ)-(λ)≤-Cn, δ(λ/π)δ/2Pn(t+o(1))+o(δλ/π)
Here Pn(t) is the function expression of theorem 3.2.
Proof: If Neuman boundary conditions are added to the incisions (or holes) on each side of the open square Qκξ, while the optimal Dirichlet boundary conditions are still maintained elsewhere, the corresponding counting function is recorded as N(λ, Qκξ).
So we have: N(λ)-(λ)≤∑∞/k=0#
In the early days of inspiration, Xu Chuan wrote like a god, and he quickly defined the fractal dimension and the spectral invariant of the fractal measure conjectured by Weyl-Berry on a high-latitude boundary.
Then
Then he lived up to expectations and got stuck.
Gauss's "Arithmetic Research" originally taught him to decompose the auxiliary equations of the circulatory equation through domain expansion, and also gave him the idea of using the Dirichlet function field to convert the Laplace operator and the Laplace double. Curved equation.
However, he did not learn much about domain expansion and how to convert functions into subgroups and establish connections with intermediate domains and sets. He did not learn this knowledge in his previous life, and he has not yet had time to go to college for less than one semester. Learn these.
So now he has no idea, but the basic mathematics in his mind cannot support the verification of this idea.
After staring at the manuscript paper filled with calculations for a long time, Xu Chuan finally threw the pen in his hand on the table, leaned back, and stared at the gray roof in a daze.
This kind of situation where he has ideas for solving problems but cannot complete the calculation with basic abilities probably happens to weirdos like him.
After all, normally speaking, if the basic ability is not enough, you will not be able to come up with any ideas for solving problems.
But he was different. Although his studies at Princeton in his previous life were mainly focused on physics, Princeton was a place for mathematics after all.
After accumulating over time, you will eventually come into contact with a lot of mathematics, but these mathematical knowledge are only superficial and do not go into the essence.
This also caused him to encounter the same problem in his previous life and this life, that is, when researching certain mathematical problems, he could rely on his extremely broad knowledge to come up with some ideas and insights or problem-solving ideas, but there was no corresponding solution in his mind. Basic knowledge, and thus cannot be perfected.
For example, the turbulence problem in controllable nuclear fusion in the previous life and the Weyl-Berry conjecture in this life are all the same.
After temporarily giving up on proving the Weyl-Berry conjecture, Xu Chuan sorted out the manuscript papers on the table, stuffed them into a drawer, and then got up to have breakfast.
He is not going to go to class today. Although there are main classes of physics and mathematics on Monday, his body has not fully recovered yet. I did feel much better after taking medicine last night and having a good night's sleep. My head no longer hurts, but the sequelae of the cold, such as some soreness in the legs and muscles, may not go away for a while.
It is normal for illness to come and go like a mountain falling, and to go away like a string of silkworms.
After breakfast, Xu Chuan neither went to class nor the library, but was going to go for a walk to relax.
Engaging in scientific research and learning is a long process. After all, people are not made of iron and must balance work and rest.
As for where to go, of course it is the observatory in Xianlin Campus. It is on the mountain, there are no people around, and the air is fresh.
Although it is already the end of November in the lunar calendar, there is no good scenery on the mountain, but the dead leaves on the mountain are another kind of scenery.
But before he could take a few steps, the students on the road saw him, and they all looked at him, and occasionally whispered to their companions.
Not only that, but there were two school girls whose eyes lit up immediately after seeing him and they trotted over.
"Excuse me, are you Senior Xu Chuan?"
Two undergraduates who seemed to be freshmen looked at him expectantly with bright eyes. Xu Chuan nodded in confusion, not understanding what was going on.
Not only now, but also when he went to have breakfast just now, he encountered students who looked at him strangely like this, which made him feel very uncomfortable.
"Great, senior, can you sign your name for us?"
"Just sign this math book."
Before Xu Chuan could speak, one of the two schoolmates put the pen in his hand.
Although he didn't understand what was going on, and he didn't know why someone would ask him for something like an autograph, Xu Chuan still signed his name on the math book as requested by the two schoolmates.
"That's great. With the blessing of my seniors, I will definitely pass this generation test!"
"Thank you, senior."
The two school girls thanked them and ran away with their math books in their arms, leaving Xu Chuan behind who looked confused and didn't know what happened.
Looking back, Xu Chuan shook his head and continued walking towards the observatory.
"Brother Chuan, your old man is actually here!"
Before he could take two steps, an excited voice came from his side, followed by three figures running over quickly.
They were his roommates in his previous life, one named Fan Hong, one named Zhou Lin, and one named Kong Zhong.
Although they have never lived in the same dormitory again in this life, they are still in the same class and often take physics classes together, so after Xu Chuan's special dealings, they got to know each other again, and their relationship is not bad.
After all, they are both boys. We can quickly become familiar with each other by chatting about lol, cf and other things.
(End of chapter)