Chapter 393: project progress

Chapter 393
In the end, Cheng Nuo did not hold back Jiangli's bitter plea, and reluctantly agreed to participate in the Go game half a month later.
If Cheng Nuo can make the finals, it will take three days.
But fortunately, you don't have to stay there around the clock. If you make some adjustments, it won't have a big impact on Cheng Nuo's arrangements.
Cheng Nuo was thrilled at the thought of the International Mathematicians Conference to be held a month later!
Although Professor Fresnel gave Cheng Nuo a three-day vacation, Cheng Nuo returned to the office the next day after opening the journal.
"Why, don't you take a few more days off?" In the office, Professor Fresnel asked Cheng Nuo with a smile.
Cheng Nuo shook his head, "No, I'm very motivated now. Professor, if there are any tasks within my power, please let me do it!"
Cheng Nuo held his head up, that look was completely as if he would use project tasks to ravage me.
This time it was Professor Fresnel's turn to calm down.
Is there too many tasks assigned to Cheng Nuo some time ago and the pressure is too great, making this child a tremor.
Professor Fresnel stood up with a rare amiable smile on his face, "Student Cheng Nuo, we have plenty of time for this project now. The two-month deadline is less than half a month past. We have completed three One-half of the progress. You don't have to overwork yourself. After two days, you will come back to assign you tasks!"
After hearing this, Cheng Nuo became even more anxious.
Indeed, as far as the current progress is concerned, the completion of this project within the two-month time limit is quite assured. But the problem is that a month later, he and Professor Fresnel will be away for more than ten days.
Senior Hull, obviously is not the kind of assistant who can support a big project alone.
Therefore, we must speed up the progress of the subject, otherwise, what if Professor Fresnel insists that he stay in the laboratory?
No matter what, Cheng Nuo didn't want to miss this mathematics feast.
Cheng Nuo's expression suddenly became serious, "Professor, you and Senior Hull are both struggling at the forefront of scientific research. To complete the project as soon as possible, you can forget about sleep and food. As a member of the project team, how can I be alone. Please. Allow me to devote myself to the research of great scientific research!"
Cheng Nuo said so, what can Professor Fresnel do. Had to first assign Cheng Nuo a medium-difficult task.
Cheng Nuo took the task and left happily.
Fresnel looked at Cheng Nuo's back humming away, and his eyes revealed deep worries.
…………
The task intensity has increased a lot than before, but Cheng Nuo appears full of energy.
Enticed by the mathematician conference ahead, Cheng Nuo naturally revealed 120% of his energy to the research of the project.
If the subject can be successfully solved within one month, it shouldn't be a problem to apply for a ten-day holiday from Professor Fresnel!
Let me talk about the current progress on the subject of Riemannian manifolds.
The tasks of the first stage are basically completed. Regarding the basic concepts, the relationship between the necessary optimality condition of FritzJohn and the Lipshitz function, and the nature of the Lipshitz function have all been drawn.
Now is the second stage.
As early as when Professor Hull and Fresnel conquered 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 is still part of the second stage.
Regarding the generalized gradient problem of Lipsehitz function on Riemannian manifolds, he needs to derive many theorems based on the content of the first stage.
This is one of the two most central tasks in the second phase.
Among them, Professor Fresnel, who was highly difficult, left it for himself, and that time the first level of difficulty fell on Cheng Nuo.
Facing this task, Cheng Nuo didn't feel as clueless as the previous task at the beginning, but his mood couldn't be said to be more relaxed.
Because of this task, in terms of complexity, I am afraid that the sum of the three tasks he has done before is even more.
He must be prepared for a protracted battle.
The derivation of the theorem is of course not a superposition of arbitrary formulas. The first step is to determine the general content of the theorem, and then proceed to the gradual formula derivation.
After calculating on the draft paper for a long time, I opened a document and typed crackling on the keyboard.
[Theorem 1: M-R satisfies the local Lipshitz condition near the point work ∈ M, (U, φ) is the coordinate card containing the point z, and the generalized directional derivative along the direction v ∈ LM at the point z is defined as:
f(x,v)=lim(y→φ(x))supfφ^(-1)(y+tφx(v))-fφ^(-1)(y)/t=(f φ^(-1))(φ(x);φx(v).】
[Theorem 2: Let the mapping f: M-R meet the local Lipshitz condition near the point z∈M. then
(i) Mapping fφ^(-1)(y): M→R is finite, positively homogeneous, and subadditive, and all satisfy f(x, v)≤Lv
(ii) f(x, v) as a function of v satisfies Lipshitz condition in TxM
(iii)f(x,-v)=-f(x,v)
(iv)……】
[Theorem 3:...]
After each theorem, there are a lot of proof steps.
This is a huge amount of work, and Cheng Nuo has not been arrogant enough to think it can be done in a day or two.
Busy day by day, facing the extremely boring formula characters every day, Cheng Nuo never tired of it.
Ten days later, Cheng Nuo packaged and sent a total of 24 theorems and their proof steps to Professor Fresnel, and then consciously asked him for the next stage of work.
After another five days, Cheng Nuo received less than half of the new task and was called to the headquarters of MIT Chess and Card Club by Jiangli.
"I remember that tomorrow is the day when the game begins. I will go there on time. You don't need to remind me again and again." Cheng Nuo sat in a chair and said to the current chess club.
"I'm looking for you in such a hurry, this is not what I said." Jiang Li smiled bitterly.
"What's that?"
"I just got news from the organizing committee of this tournament. There will be a special player participating in this Go tournament!"
"Special player? Who is that?"
"Alpha Zero!"
"Robots?! This is really cheating!"
Jiang Li shrugged, "No way. Alpha Zero has just been developed. Although it defeated Alpha Dog, the people in the R&D team still want Alpha Zero to participate in a few more matches against humans~EbookFREE.me~ to test its performance. ."
"Doesn't it mean that the champion of this competition has already been decided by default." Cheng Nuo chuckled. "But it doesn't matter. You didn't want me to participate in the competition to go to the championship. You don't need to be so sad."
"It's just that I don't know who the unlucky person is, I will meet that robot in the first round."
"Uh..." Jiang Li hesitated, "I have a sad news, do you want to listen."
"You speak." Cheng Nuo said.
"The unlucky person you mentioned is yourself." Jiang Li said, "The match table has been out. 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 old-fashioned, I still want to say, I wish you all the best Mid-Autumn Festival! !