Chapter 459: Why kill a chicken with a bull's knife?
Li Yan shines brightly, Chen Fan should not understand, but he still doesn't understand.
"Philippine Award Winner" he reacted for a while, after all, this title sounded really out of reach.
Chen Fan basically understood the words "the 1980s" when Li Yan said it.
Seeing Chen Fan’s look, Li Yan went directly to the explanation stage:
"As we all know, in the study of partial differential equations..."
"Wait, wait, wait," Chen Fan raised his hand to interrupt, "Your hand gesture is not well known at all."
Li Yan nodded in approval, "What most people don't know is that , in the study of partial differential equations, classical solutions often require functions to be sufficiently differentiable, but this is not required in actual operations, especially when the solution may have discontinuous or sharp features. ”
Chen Fan understood the literal meaning.
"A sticky solution can be solved in a wider range of function classes, including non-differentiable functions. The core idea is to introduce the concept of 'weak' solutions and satisfy a special 'maximum principle'."
Chen Fan's eyes began to diverge as he struggled to understand Li Yan's words.
But even if he has learned advanced mathematics, what Li Yan is saying is still too advanced.
“…At every point, it is either a local maximum or a local minimum, so even if the function is not differentiable at some points, it can be verified through the comparison principle whether it is a viscous solution.”
"Anyway, it just gives a new way to solve the problem." Chen Fan concluded.
Li Yan didn't bother to explain, so he continued: "So we just need to..."
Come and come, "as long as", the Versailles method that high-IQ people are best at.
The key is that when they talk about ideas, what they say is often not Versailles.
The idea of this thing is just unimaginable and feels difficult to reach the sky. All I can think of are gods.
But once you think about it, it’s just a matter of course.
“As long as this problem can be solved, there is no need to avoid singular surfaces.” Li Yan continued, “The wall-chasing game is very similar to the underlying algorithm of autonomous driving. Our purpose is to pursue the optimal solution and avoid escape. Being caught is equivalent to the vehicle choosing a road to minimize the probability of congestion, which can be regarded as the optimal strategy algorithm to solve the wall-chasing game. ”
"Ah..."
"That's not all that can be accomplished. With this algorithm as the basis, algorithms such as multi-vehicle collaborative tasks and special vehicle emergency channel design can all be achieved."< br>
"For example, for fire fighters, ambulances, police cars, etc., can we calculate the optimal path for them and at the same time let all automatic vehicles give way?" Chen Fan pondered.
“Not only that, it’s even possible to do it without affecting the operating efficiency of other cars.”
“Huh?” Chen Fan was shocked.
"If you just force all the cars to give way, you don't need any algorithm, but you need a powerful command."
Chen Fan felt that his brain was buzzing.
I waited for a while before speaking again, "I can understand that when we design similar algorithms at present, we cannot solve the singular surface. In order to avoid falling into BUG, we can only avoid it."
Li Yan nodded.
“And you, are you going to unravel this thing to realize an algorithm that is not afraid of any situation?”
Li Yan continued to nod.
Chen Fan slapped himself on the forehead, "Holy shit... do you know what I'm thinking?"
Li Yan shook his head this time.
“How can you kill a chicken with a bull’s knife!”
Li Yan laughed loudly, “Who is the chicken?”
Chen Fan became excited, "In a national competition for teenagers, if you deal with problems that have not been solved for decades, are they still not considered chickens?"
"Yu Keyu was going to be angry to death when he heard that." Yan shook his head dumbfounded, "What I'm curious about is, are you so confident in me?"
< br>"Huh?"
"I'm still confused." Li Yan patted Chen Fan, "Brother, you also know that this is a problem that has not been solved for decades, so just set a result that I can solve ”
“Then...can’t you?”
"I analyzed the HJI equation - which is a subcategory of the Hamilton-Jacobi equation..."
"There is no need to explain this Yan Shen, my brain has automatically blocked HJI."
"Okay, anyway, I am analyzing the viscous solution of the HJI equation around the singular surface where the derivative is not clearly defined. I am introducing the analysis of the profit and loss rate of the game participants into the singular surface state of the equation. The results are still It’s not out yet, there are a lot of details to adjust.”
“...I obviously know every word.”
Li Yan stretched, “That’s the progress now. , I feel that the direction is right, it just lacks an exciting result. However, don’t be too optimistic. Even if there is an optimal solution, there may be many problems in how to use this solution in specific algorithm operations.” br>
Chen Fan staggered a few steps and slumped down on the sofa, "Brother, just tell me, what can I do for you?"
"Study."
Chen Fan sat up straight again.
"Try to keep up with me, Chen Fan." Li Yan looked at him, "Just try. If you gain something, it will not be in vain for you to compete."
Chen Fan Thunder sounded in my heart!
I was still struggling with what to compare with before, so emo avoided it. After a long time, Li Yan didn't regard him as the same level at all.
Same, how could they be regarded as the same level?
In this world, in terms of peers, is there anyone who dares to say that he is on the same level as Li Yan?
The position where Li Yan was standing was beyond their reach. The olive branch he extended was not for pretense or a sense of accomplishment. He was just expressing gratitude for his old friendship. In the final analysis, he was giving Chen Fan a chance. ah!
Give him a glimpse of the peak.
Maybe they don't need any reason. Anyway, there is a classmate whom I know well, so I can take him with me.
"Okay." Chen Fan just replied.
“When are the final results due?”
Brother, you really don’t know anything.
"July 20th."
"Ouch..."
"Time is still a little tight..."
"So long?"
Chen Fan gradually became more resistant to Li Yan's pretense. , "What, are we going to solve the math problem in the next two days?"
"Almost, haven't I been doing calculations all the time?"
"Don't you keep talking to me?"
"My brain is calculating, and so is the computer."
...Really don't try to understand this person.
So, a few days before the submission of the competition, Chen Fan had the extremely rare time to "see how Li Yan learns".
Although he was always interrupted by some good news related to Jiaolong mobile phone that made him sweat all over, he was quite willing to listen.
After all, he is also the "major shareholder" holding 2% of the shares. Once the dividends are paid, he will not have to work in his life.
Chen Fan is still in high school and cannot appreciate the happiness of the previous sentence.
He originally wanted to explore Li Yan's "secret of genius", or simply experience the feeling of being shocked by the gods.
Unexpectedly, I was confused after seeing it.
Li Yan is indeed advancing computing content, but more time is spent learning some completely irrelevant things.
Reading a work on number theory is like reading a novel, sometimes laughing and sometimes sighing, pacing repeatedly and shaking one's head.
Li Yan described it as "up and down", and even got excited about it, so he went to someone to buy some original English books - the bookstore owner personally sent them over, and he said "it's still warm".
Chen Fan doesn’t understand at all. What kind of learning method is this?
"Yanshen, let me ask you seriously, will the things you are learning in other fields now...contribute to the research on the optimal solution to the wall-chasing game?"
"Yes."< br>
Chen Fan kept his eyes hungry for knowledge.
“Expand your thinking, the amount of calculation is not an issue now, the focus is on the direction. If the general direction is right, you have to control the small direction.”
I don’t understand, Li Yan is now relying on further study What is the point of improving English skills in French?
Because Li Yan was also talking nonsense. The truth is not as mysterious as what he said. It is just using the system to add points to improve the ability level and solve the problem in turn.
bite!
He was still talking to Chen Fan here, and his mind was slightly distracted, but instead a thought was running like a wild horse, rushing around, leaving a magical mark.
An inexplicable flash of inspiration.
[Mathematics +1, level 3 skills, total 39]
78% progress, on the same level as current computers.
This is the horror of "learning speed".
The mountain that was previously unattainable in Li Yan's eyes has already been stepped on by him in a few steps.
Although the step of breaking through 80% is still very difficult, but if there is one, there are two, so why be afraid?
In the following days, he can safely improve his skills and turn himself into a monster with 80% of all skills in the shortest time and with the highest efficiency.
More miracles are waiting for him at the top of the mountain.
Chen Fan was still thinking about how to understand Li Yan's words, but he suddenly saw him typing frantically on the keyboard.
"What...what happened?"
Li Yan just raised his hand to signal Chen Fan to wait.
More than ten minutes later, the storm of keyboard typing stopped.
“…Hey, who are you facing?”
"Play a game with chasing the wall."
"Oh, you win?"
"You win."
Chen Fan made an "ouch" gesture, but his eyes stared. Big.
"Grass?"
"You're pretty awesome. You obviously say '嗗', but when you say it, it turns into grass."
"No, have you figured it out?"
"Yeah."
What did you do and you figured it out? Brother, you are not even studying!
“You are obviously reading number theory and you haven’t stopped yet!”
"It was like a flash of inspiration, that's what happened."
After listening to the answers for twelve minutes, Chen Fan said that his mind was a mess and he didn't understand anything.
"It's okay, I'll tell you in detail later, you learn first."
Real or false? A problem that had not been solved for fifty years was solved by Li Yan in an understatement just because of a youth competition?
How long did this take? !
Chen Fan remained in a state of shock.
Li Yan immediately got into work, "Now it's about how to use it, and later we have to worry about how to present it. Chen Fan, you can really help with this."
< br>Finally it comes into play!
Then Chen Fan discovered that what he had been working on for half an hour, Li Yan had finished in five minutes.
His brain was obviously working at full speed and he maintained the highest level of concentration throughout the entire process. He had been working for half an hour so hard that his brain was almost smoking, and he felt like his whole body was heating up in the air-conditioned room at night.
As a result, he watched Li Yan finish his workload in five minutes while chatting and checking WeChat from time to time.
However, Chen Fan has a good attitude. He now feels that this is the opportunity given by the gods to follow in his footsteps.
Although immortals are different and it is impossible to keep up with him no matter what, but if he tries his best, when he looks back, he may find that others have been far behind him.
Chen Fan went home at ten o'clock in the evening. When he came to Li Yan's office at nine o'clock the next morning, he found that the immortal had already walked away and could no longer see his back.
Li Yan already has a completed version of the "Baijiang New City Autonomous Driving Test Model" on his computer.
It perfectly reproduced the presentation content and method discussed by the two people the night before.
Li Yan even put a green light spot filter on the entire model, paired with a black background, giving it a futuristic feel.
He really does like The Matrix.
"Is this done?" Chen Fan tested it a few times, "Am I redundant?"
It is now July 17, Sunday.
"Where did Yan Shen go? This is what we promised." Chen Fan said, taking out his cell phone and preparing to send a message.
Li Yan just opened the door to the lounge.
"What the hell, what are you doing?"
"Nothing, I didn't sleep well." Li Yan appeared at the door with a tired face and bloodshot eyes, still yawning.
“…it’s rare to see you like this.”
After overclocking, try to see if the "learning speed" can be improved. Unfortunately, Li Yan just completed the things he already knew more efficiently, and the improvement has nothing to do with "learning".
But it can be considered as further clarifying the triggering conditions of this skill, which is not bad.
"You can go back and test it. If possible today, send the finished product and the paper to the competition organizing committee." Li Yan yawned again.
“Have you finished writing the paper?”
“Of course, at least we have solved a difficult problem.”
Shanghai, Organizing Committee of the National Youth Science and Technology Innovation Competition.
"Xiao Xiao, are you sure Li Yan will participate?" asked a man with gray hair but actually only forty years old.
“I am sure that what Lao Meng said can be false?” Cai Zhendong patted his strong belly.
“It hasn’t been sent yet? We are also looking forward to it.”
“Lao Yu, the deadline is the 20th, you have set it, don’t be nervous.”
"I didn't expect that someone would be pressed to this point, and they didn't even send the first draft."
"Waiting for the surprise, how about it, is it a lot of pressure?"
"Hey," Professor Yu waved his hand, "What's the big deal? I'm really curious."
"You also know what achievements this child has achieved." Cai Zhendong shook the mobile phone in his hand, "You can really buy one, it's better than you think."
"You really love him You have to be serious, Colonel Cai, tell me the truth, who is this Li Yan?”
"It's a genius."
"That's it?"
"That's all."
Cai Zhendong's pause made Professor Yu look unhappy .
"Okay, then let me see how far this genius can make you do for him..."
As soon as he finished speaking, another judge broke into the conference room where they were sitting, "Here they come, Li Yan's competition results!"
Seeing how excited he was, Professor Yu frowned, " Why are you still making noises, Colonel Cai, let’s go take a look?”
Cai Zhendong stood up confidently, “Let’s go!”
He just walked into the office hall and saw a group of people surrounding him. During the discussion, Professor Yu frowned.
When I got closer to the computer and saw the title, I was so wrinkled that I could hold a poker in my hand.
"Research on automatic driving path selection algorithm based on optimal solution of wall chasing game".
"The optimal solution to the wall-chasing game?" He looked at Cai Zhendong, "This thing has not been solved yet."
Cai Zhendong curled his lips, "There is a paper on this."
Professor Yu only glanced at the paper a few times, then directly motioned to the staff to get up, sat on it, and began to study it carefully.
Twenty minutes later, he took off his glasses, rubbed his eyes and looked up to the sky and sighed:
"What's the use of a bull's knife to kill a chicken..."
(End of this chapter)