Chapter 82: Stuck Thoughts
The sudden inspiration made Xu Chuan suffocate the cold medicine in his hand, and the warm and slightly bitter potion in the cup became extremely sweet at the moment, like a glass of honey water, refreshing people's hearts.
With the cup in his hand down, he pulled out a stack of pen and paper from the drawer and laid it out on the table.
He has already figured out the weakened form of the Weyl-Berry conjecture, but that doesn't mean that the difficulty of proving the Weyl-Berry conjecture is any easier.
It's like the weak Goldbach conjecture was solved by two mathematicians in May of 13 years, but today it is November of 15 years, and more than two years have passed, but the complete proof of Goldbach's conjecture is still far away.
Xu Chuan also did not think that he would be able to solve the Weyl-Berry conjecture in a short period of time after proving the weakened form of the Weyl-Berry conjecture.
Even if he has some mathematical knowledge in his previous life, even if he has solved the weak Weyl-Berry conjecture, he does not think that he can solve the complete Weyl-Berry conjecture in one or two years.
But sometimes mathematics really depends on inspiration.
When inspiration is insufficient, it's like writing a novel, and constipation doesn't produce a chapter for a month.
Inspiration strikes, and when the basics are solid enough, you'll be able to solve problem after problem in no time.
The black pen in his hand kept outlining the characters on the white A4 paper.
“..... Starting from Weyl's theorem 3.2, a bounded and connected open-set Ω is constructed, and the Ω is a bounded connected region of R²(n≥2) satisfying the above condition (C), and its boundary has an inner Minkowski dimension δ∈(n-1,n), then there is λ→+∞, and there is:
N(λ)-ϕ(λ)≤-Cn,δ(λ/π²)δ/2.....Pn(t+o(1))+o(δˆλ/π²)
Here Pn(t) is a functional expression of the 3.2 theorem.
Proof: If the Neuman boundary condition is added to the incision (or hole) of each side of the open block Qκξ, and the excellent Dirichlet boundary condition is still maintained elsewhere, then the corresponding counting function is denoted as N(λ,Qκξ).
So we have: N(λ)-φ(λ)≤∑∞/k=0#......
In the early days of his inspiration, Xu Chuan quickly defined the fractal dimension of the Weyl-Berry conjecture and the spectral invariants of the fractal measure to a high-latitude boundary.
And then......
And then he lived up to expectations and got stuck.
Gauss's "Studies in Arithmetic" originally taught him to decompose the auxiliary equations of the fractal equations through the expansion of the domain, and also made him think of using the Dirichlet function domain to transform the Laplace operator and the Laplace hyperbolic equation.
However, he didn't learn much about domain expansion and how to convert functions into subgroups and make connections with intermediate domains and collections, and he didn't learn this in his previous life, and he didn't have time to learn this in less than a semester of college.
So now he has an empty idea, but the basic mathematics in his mind can't support the calculation of this idea.
.......
After staring at the manuscript paper full of calculations for a long time, Xu Chuan finally threw the signature pen in his hand on the table, leaned back, and stared at the somewhat gray roof in a daze.
This kind of situation where there is a solution idea, but the basic ability cannot complete the calculation, will probably appear in a freak like him.
After all, normally speaking, if the basic ability is not enough, there is no way to solve the problem at all.
But he is different, although his studies at Princeton in his previous life were mainly focused on physics, Princeton is a mathematical resort after all.
After the accumulation of the sun and the moon, you will eventually come into contact with a lot of mathematics, but it is just that these mathematical knowledge are only scratching the surface and not going deep into the essence.
This also led to the same problem that he encountered in his previous life and in this life, that is, when he was researching some mathematical problems, he could rely on a very wide range of knowledge to put forward some ideas and insights or solve problems, but he did not have the corresponding basic knowledge in his mind, and then he could not improve it.
For example, the turbulence problem in controlled nuclear fusion in the previous life, and the Weyl-Berry conjecture in this life, are all both.
......
After giving up on continuing to prove Weyl-Berry's conjecture, Xu Chuan sorted out the manuscript paper on the table, stuffed it into a drawer, and then got up to go to breakfast.
He won't be going to class today, although this Monday, there are physics and math classes, but his body will not fully recover.
I took medicine and slept a lot last night, and my head didn't hurt anymore, but the sequelae of the cold, such as some soft legs and sore muscles, I am afraid that they will not go away for a while.
It's normal for illness to come like a mountain and go away like a thread.
After breakfast, Xu Chuan neither went to class nor to the library, but prepared to go out for a walk and relax himself.
Engaging in scientific research and learning is a long process, and people are not ironclad after all, but have to combine work and rest.
As for where to go, of course, it is the observatory in the Xianlin Campus, which is on the mountain, there are no people, and the air is fresh.
Although it is now the end of the eleventh month of the lunar calendar, there is no good scenery on the mountain, but the dead leaves on the whole are not another kind of scenery.
But before he could take a few steps, the students on the road saw him, cast stares one after another, and occasionally whispered to their companions.
Not only that, but there were two schoolgirls who suddenly lit up after seeing him and trotted over.
"Excuse me, are you Senior Xu Chuan?"
The two undergraduates, who looked like they were both freshmen, looked at him with bright eyes and hope, Xu Chuan nodded a little confused, he didn't understand what was going on.
Not only now, but also when he went to breakfast just now, he encountered such a strange student staring at him, which made him feel so uncomfortable.
"Great, can you sign for us?"
"Just sign this math book."
Without waiting for Xu Chuan to speak, one of the two schoolgirls stuffed the pen in his hand into his hand.
Although he didn't understand what was going on, and he didn't know why someone would ask him for such an autograph, Xu Chuan still signed his name in the math book according to the request of the two students.
"Great, with the blessing of my seniors, I will pass this generational exam!"
"Thank you, senior."
The two schoolgirls thanked each other, hugged the math book and ran away, leaving Xu Chuan with a confused face who didn't know what was going on.
Glancing back, Xu Chuan shook his head and continued to walk towards the observatory.
"Brother Chuan, your old man is actually here!"
Before he could take two steps, an excited voice came from his side, and the three figures ran over quickly.
It was his roommate in his previous life, one was named Fan Hong, one was named Zhou Lin, and the other was called Kong Zhong.
Although I haven't lived in a dormitory in my life, several people are still in the same class and often take physics classes together, so under Xu Chuan's special dealing, several people got to know each other again, and the relationship was not bad.
After all, they're all boys.,Talk about lol.,CF or something can get acquainted quickly.。
......