The top student must be diligent.

Chapter 147 Absolute Electronicity Calculation

Everyone in the audience fell silent, staring in amazement at the solution steps Xiao Yi gave on the blackboard.

Is that it... done?
Is it a little too fast?

Zhang Yitang also carefully looked at the steps he wrote out himself, thinking seriously about the meaning of each step.

However, no matter how he thought about it, there was only one thought in his mind: It turns out that the problem of higher-order terms can be solved in this way?
What was he thinking before...

Well, he hadn't been able to figure it out before.

In the first row below, Enrique Bombieri, Pierre Deligne and many other bigwigs are also there.

Looking at the solution given by Xiao Yi, they narrowed their eyes, thought for a moment, and in the end, all they were left with was sighing.

"Sure enough, for problems like this, this kid is still needed to solve them." Deligne shook his head and sighed.

Bombieri also nodded: "Who said it wasn't?"

He thought carefully about Xiao Yi's method, and suddenly said: "Do you think that his method, even if applied to Fourier expansion itself, can solve the error accumulation problem?"

"Really?" Deligne took another look and after thinking for a moment, his eyes lit up: "Yes, it is true!"

At the same time, someone else also discovered this, and someone immediately stood up and asked: "Mr. Xiao, if your method can be used to solve the problem of circular expansion, then can we also use it on Fourier expansion and also use it to solve the error accumulation problem?"

Xiao Yi was not surprised by this question. He smiled and nodded, "Yes, you discovered it very quickly. The two are closely related. Of course, some small changes need to be made in the process."

“Can you please demonstrate it to us?” The questioner said excitedly, “This is very important to me. I feel it can help me complete my project.”

"Of course no problem." Xiao Yi nodded with a smile: "Professor Zhang, I still have to trouble you."

Zhang Yitang also came back to his senses from his thoughts. He said, "No trouble. This also gave me inspiration. Go ahead."

"Yeah." Xiao Yi continued.

"First, from the combination of sieving method and weighted technology mentioned earlier, we can get: [g(x)=n=N∑Ndnn(x)+|n|>N∑1+|n|kcnn(x)]"

“The error control effect is verified by calculating EN′(x). Due to the introduction of w(n), the influence of high-order terms is significantly weakened, thus ensuring the accuracy of the overall result.”

[EN′(x)=|n|>N∑dnn(x)=|n|>N∑1+|n|kcnn(x)】

"..."

Following Xiao Yi's narration, Zhang Yitang continued to write on the blackboard.

Everyone in the audience started thinking about it.

Although they may not understand the circular expansion, many people understand the Fourier expansion.

As a very classic mathematical method, it can express a periodic function as an infinite series of sine and cosine functions, and has been used to solve various problems.

As for the problem of high-order terms in Fourier expansion, it mainly involves the influence of high-frequency components in the Fourier series on the accuracy of function reconstruction. Those who understand it should have heard of the Gibbs phenomenon, which is a manifestation of the problem of high-order terms.

It can be said that people in the mathematics community often have headaches because of this problem when using this method.

And now this problem seems to have been greatly solved, how can they not listen carefully?
Maybe, just like the questioner, I can help them solve a problem in their topic in the future.

"...In short, this is it. According to the above method, we can weaken the high-frequency terms and stabilize the accumulated error."

"Thereby achieving control over the higher-order terms in the Fourier expansion."

About ten minutes later, Xiao Yi finished his story.

He smiled and said, "Of course, I think there are still many areas that can be explored to further reduce the impact of the high-order term problem, but time is limited, so I will stop here for now. I believe you can find it."

"Any other questions?"
He glanced at the mathematicians present.

Time passed quickly and no one continued to ask questions. At the same time, most people were recording what Xiao Yi had just said without any distraction.

After a while, Zhang Yitang smiled and said, "It looks like there is nothing left."

"That's fine." Xiao Yi nodded, and then dozed off deeply: "Looks like I can go to rest now."

"Haha, then you should go to bed early." Zhang Yitang said with a smile: "Oh, by the way, let me ask you on behalf of the mathematics community at the end, what problem are you working on recently? We are all a little uncomfortable with not seeing your results for so long."

"Uh..." Xiao Yi touched his nose awkwardly and said, "In short, it should be a very important thing, but it is more practical."

"It shouldn't be long before you all see him."

"Haha, okay. Then we'll look forward to it."

Zhang Yitang nodded, then looked at the scholars present and said, "By the way, everyone should also give a round of applause to our Xiao Yi. Thank him for taking the time to answer our questions!"

After saying this, he was the first to applaud.

The hundreds of mathematicians present also reacted and applauded.

Listening to the applause, Xiao Yi smiled and said, "Thank you everyone."

As the applause gradually died down, they finally said goodbye and hung up the phone.

"Hmm... I'm still a little uncomfortable with this." Xiao Yi turned off the computer and sighed.

If he was on the scene, he would be able to answer the questions on the blackboard himself, but unfortunately it was a live broadcast, so he could only let Zhang Yitang write it for him.

He turned around and saw Ye Cheng and the other two looking at him in amazement from behind.

He waved his hand: "Wake up, what are you thinking about?"

The three people finally came back to their senses, and Ye Cheng said blankly: "Is this... the feeling of giving a report on the stage?"

Song Ziyang also swallowed his saliva: "Hundreds of people are looking at me... I feel so much pressure."

Luo Qiao: "Brother Xiao, aren't you nervous around so many people?"

"Uh..." Xiao Yi shrugged and spread his hands, "There are only a few hundred people, probably less than 400, that's all."

three people:"……"

Then they all gave Xiao Yi the middle finger.

Pooh!
……

It was already late, so they didn't waste any more time and went to bed early. After all, Ye Cheng had a damn early morning wake-up call tomorrow.

However, even though Xiao Yi didn't have classes, they couldn't say they were envious. After all... Xiao Yi might get up even earlier than them.

Silent all night.

The next day, Xiao Yi wrote his absolute electronic calculation model 1.0 and put it on the server to run.

Nowadays, all of Yishui Bit's data is stored in the Luoming Data Center, which means that his server worth more than 600 million yuan no longer needs to run, and naturally becomes a dedicated server used to run models.

This model is just right for feeding him.

Luo Mingya also gave him a lot of experimental data, enough for his model to learn various types of materials.

Probably the only problem is that this model needs to run 24 hours a day for a week.

Of course, it’s only a week, not too long.

Let him use the next period of time to study the Goldbach conjecture.

Recalling the inspirations he had when he was studying Xiao's expansion and circle method, he thought there were still many things worth exploring.

Just like that, a week passed quietly.

……

When Xiao Yi came to the Entrepreneurship Center again, he came to room 232 where he was.

"Huh? Why is the server silent?"

Xiao Yi frowned. Logically speaking, the server's fans should be whirring, right?

"Did the power go out last night?"

He immediately hugged his head.

isn't it?
Although he added a checkpoint save mechanism, it would obviously waste a lot of time.

He hurried over, took a look, and then breathed a sigh of relief.

"So the training is complete. It's really scary."

After feeling relaxed, he opened the trained absolute electronic calculation model.

"The next step is to determine whether this model has achieved the expected effect... Well, let's give it a try first."

Xiao Yi thought about it, and then selected two simpler materials, silicon and copper.

Silicon, as a good semiconductor material, has a measured band gap energy of 1.1 eV, while copper, as an excellent conductor, has a conductivity of 5.8*10^7 S/m.

Now let's use absolute electronic calculations to calculate these two materials.

Soon, the results came out.

Calculation shows that the band gap energy of silicon is 1.09eV, while the conductivity of copper is 5.78*10^7S/m!

The error rate is less than 1%!

Xiao Yi's eyes suddenly lit up.

This result is really...

Far surpasses various other computing models!

And most importantly, its calculation speed is also very fast, which fully demonstrates that absolute electronic calculation not only achieves stable efficiency, but also makes full use of computing resources!

(End of this chapter)