universal data

Chapter 390 Project Progress
393 chapter

In the end, Cheng Nuo couldn't resist Jiang Li's request and reluctantly agreed to participate in the Go match half a month later.

If Cheng Nuo can reach the final, it will take three days.

Fortunately, he doesn't have to stay there around the clock. If he adjusts it, it won't have a big impact on Cheng Nuo's arrangements.

Cheng Nuo was very excited when he thought of the International Mathematicians Conference to be held in a month's time!
Although Professor Fresnel gave Cheng Nuo a three-day vacation, Cheng Nuo returned to the office on the second day of the semester.

"Why, don't you have a few more days of rest?" Professor Fresnel asked Cheng Nuo with a smile in the office.

Cheng Nuo shook his head, "No need, I am very motivated now. Professor, if there is any task within my ability, please let me do it!"

Cheng Nuo held her head high, and she looked like she was ravaging me with project tasks.

This time it was Professor Fresnel's turn to be restless.

Could it be that Cheng Nuo was given too many tasks and too much pressure some time ago, which turned the child into a dick.

Professor Fresnel stood up with a rare kind smile on his face, "Student Cheng Nuo, we still have plenty of time for this project. The two-month deadline is less than half a month away, and we have completed three months." One-third of the progress. You don't have to work yourself too hard, and I will come back and assign you a task in two days!"

After hearing this, Cheng Nuo became even more anxious.

Indeed, based on the current progress, there is a high degree of confidence that this project can be completed within the two-month deadline.But the problem is that in a month, he and Professor Fresnel will be away for more than ten days.

Senior Hull is obviously not the kind of assistant who can support a large project by himself.

Therefore, it is necessary to speed up the progress of the project, otherwise, what if Professor Fresnel insists on staying in the laboratory?
No matter what, Cheng Nuo didn't want to miss this feast of mathematics.

Cheng Nuo's expression suddenly became serious, "Professor, you and Senior Hull are both working on the front line of scientific research, and you can forget about eating and sleeping for the early completion of the project, and as a member of the project team, how can I be leisurely alone. Please Allow me to devote myself to the great scientific research cause!"

Cheng Nuo said so, what else can Professor Fresnel do.Cheng Nuo had to be assigned a moderately difficult task first.

Cheng Nuo took the task and left happily.

Fresnel looked at Cheng Nuo's back as he left humming a ditty, with deep worry in his eyes.

…………

The intensity of the task had increased a lot compared to before, but Cheng Nuo seemed to be full of energy.

Under the temptation of the mathematician conference ahead, Cheng Nuo naturally devoted [-]% of his energy to the research of the project.

If the subject can be successfully completed within one month, it should not be a problem to apply for a ten-day vacation from Professor Fresnel!

Let me talk about the current progress of this topic on Riemannian manifolds.

The task of the first stage is basically completed. Regarding the basic concepts, Fritz John necessary optimality conditions and the derivation of the relationship between the Lipschitz function and the nature of the Lipschitz function have all been obtained.

Now it's the second phase.

As early as when Hull and Professor Fresnel were conquering the first stage, Cheng Nuo had already completed part of the second stage because the work progress was too advanced.The new task he got today still belongs to the second stage.

Regarding the generalized gradient of the Lipsehitz function on the Riemannian manifold, he needs to derive many theorems based on the content of the first stage.

This is one of the two core tasks of the second stage.

Among them, Professor Fresnel, who was more difficult, left it to himself, and Cheng Nuo was responsible for the level one difficulty.

Facing this task, Cheng Nuo didn't feel as clueless as he did at the beginning of the previous task, but his mood couldn't be said to be that relaxed.

Because this task, in terms of complexity, is probably more than the sum of the three tasks he has done before.

He must be prepared for a protracted war.

The derivation of theorems is of course not a superposition of superimposed formulas. The first step is to determine the general content of the theorem, and then proceed to the derivation of the formula step by step.

After calculating on the draft paper for a while, I opened a document and typed on the keyboard.

[Theorem 1: Set a function. r: MR satisfies the local Lipschitz condition near point ∈ M, (U, φ) is the coordinate card containing point z, and the generalized directional derivative along direction v ∈ LM at point z is defined as:

f(x, v)=lim(y→φ(x)) supf*φ^(-1)(y+tφx(v))-f*φ^(-1)(y)/t=(f* φ^(-1))(φ(x);φ*x(v).】

[Theorem 2: Let the map f: MR satisfy the local Lipschitz condition near the point z∈M.but
(i) Mapping f*φ^(-1)(y): M→R is finite, positively homogeneous, subadditive, and fully satisfies |f(x, v)≤L|v|
(ii) f(x, v) satisfies the Lipschitz condition at TxM as a function of v
(iii)f(x,-v)=-f(x,v)
(iv)...]

【Theorem 3:...】

Behind each theorem, there are a lot of proof steps attached.

This is a huge amount of work, and Cheng Nuo is not arrogant enough to think that it can be done in a day or two.

Busy day after day, facing the extremely boring formula characters every day, Cheng Nuo never tired of it.

Ten days later, Cheng Nuo packaged and sent the 24 theorems derived and their proof steps to Professor Fresnel, and then consciously asked him for the next stage of work.

Another five days later, Cheng Nuo was summoned by Jiang Li to the headquarters of the Massachusetts Institute of Technology Chess and Cards club after he had completed less than half of the new task he had received.

"I remember that tomorrow is the start of the game. I will be there on time. You don't need to remind me of this again." Cheng Nuo sat on a chair and said to the current chess and card club Changjiang Li.

"That's not what I'm talking about when I come to you in such a hurry." Jiang Li said with a bitter smile.

"What's that?"

"I just got the news from the organizing committee of this competition that there will be a special player participating in this Go competition!"

"Special player? Who is that?"

"Alpha Zero!"

"Robot?! This is simply cheating!"

Jiang Li shrugged, "I can't help it. Alpha Zero was developed not long ago. Although it defeated Alpha Dog, the people in the research and development team still want Alpha Zero to participate in a few more games against humans to test its performance."

"Doesn't that mean that the champion of this competition has already been determined by default." Cheng Nuo chuckled, "But it doesn't matter much. You didn't let me participate in the competition because you want to be the champion. You don't need to be so sad."

"It's just that I don't know which unlucky person will meet that robot in the first round."

"Uh..." Jiang Li hesitated, "I have some sad news, do you want to hear it?"

"You tell me," Cheng Nuo said.

"The unlucky person you mentioned is yourself." Jiang Li said, "The match list has been released, and your opponent in the first round is the robot Alpha Zero."

Cheng Nuo: "..."

This is really a sad story!

………………

PS: Although it is a bit cliche, I still want to say, I wish you all a great Mid-Autumn Festival! !

(End of this chapter)