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As the system introduced before, as long as sufficient rest is taken after using the excitement mode, the excitement mode will not cause any sequelae to the user.

"However, after just using the excitement mode for an hour, I need to sleep three hours longer than usual to regain my energy... I don't know how long it will take to recover if I use the excitement mode for a while longer."

Ning Chen felt that with his own energy, using the excitement mode for an hour continuously was far from reaching his limit. But if he used it more, the feeling of exhaustion after the excitement mode ended would definitely be stronger.

Before using excitement mode, be sure to give yourself enough rest time.

After a simple breakfast, Ning Chen decided to go to Tong Yicheng to talk about his research results last night.

Although these research results are not enough to help Tong Yicheng solve all his problems, they are at least enough for Tong Yicheng to break through his own bottleneck.

Tong Yicheng usually stays in his laboratory in addition to helping teachers and tutoring students in competitions during the evenings and weekends.

Ning Chen came to Tong Yicheng's laboratory and found that the door of the laboratory was ajar and Tong Yicheng was inside.

"Senior Brother Tong!"

Hearing Ning Chen's voice, Tong Yicheng was a little surprised and quickly stood up and walked towards Ning Chen.

"Ning Chen, why are you here? Are there no classes this morning?"

"Well, there are no classes this morning. Senior Brother Tong, I came here to tell you about the Sobolev equation."

Tong Yicheng was stunned again when he heard this. Could it be that Ning Chen had really come up with some good method?

But...it has only been one night since I showed Ning Chen my paper!

I haven't made any breakthrough progress in several months. No matter how powerful Ning Chen is, he can't solve this problem in one night, right?

"Junior brother Ning Chen, what's wrong...have you come up with a solution?"

"Well... you can't say that, but there are some directions that you can try. Senior Brother Tong, please listen to me first."

"Okay, okay, sit down and speak slowly."

"Senior Brother Tong, sit down too."

Tong Yicheng dragged a chair over from the side and sat next to Ning Chen, his expression looking respectful and serious.

"That's it, Senior Brother Tong, last night I thought about the solution to this problem and tried to use a variety of methods to conduct a high-precision analysis of the Sobolev equation."

"Later I discovered that if I could synthesize the first-order generalized difference partition formula, R-T mixed element method, and H1-Galerkin mixed element method, and on this basis, use the Ritz-Volterra projection to give error analysis, and use the unit interpolation operator If we analyze the two discrete modes of the mixed element..."

Ning Chen saw Tong Yicheng's eyes looking a little confused and knew that he spoke too fast.

"Well...Senior Brother Tong, why don't I just write it down on paper."

Upon hearing this, Tong Yicheng immediately handed the paper and pen to Ning Chen. After Ning Chen took the pen and paper, he started writing quickly.

I saw that Ning Chen first wrote out the Sobolev equations constructed by Tong Yicheng, and then constructed various separated formulas, mixed elements, and discrete formats in sequence.

As Ning Chen wrote, he told Tong Yicheng his structural ideas.

Tong Yicheng looked at what Ning Chen wrote on the paper and listened to Ning Chen's explanation, and gradually began to understand Ning Chen's thoughts.

"How about it, Senior Brother Tong, have I made it clear?"

Ning Chen knew that he spoke a bit fast, but if he explained it in detail, it might take several hours.

"Well, you made it very clear! Ning Chen, how did you come up with this method?"

Although Ning Chen's method has not been verified, Tong Yicheng knows that this method is definitely worth trying.

"Usual accumulation, plus a little inspiration."

"It's that simple?"

Tong Yicheng took another look at Ning Chen's ideas written on the paper and found that indeed every process was understandable to him.

However, if these pieces of knowledge can be arranged and combined in a normal way, it is definitely not something that can be done easily.

"Senior Brother Tong, as for whether this method can achieve the desired effect, you need to further verify it. I have a lot of things to do recently, so I can only help you here for the time being."

"No, no, Junior Brother Ning Chen, you are so polite. You can help me think of a possible direction. I don't know how to thank you. Okay, okay, Ning Chen, go and do your business."

Ning Chen did not stay in Tong Yicheng's laboratory for too long. After all, he still had to focus his main energy on the competition.

"Help Senior Brother Tong get here, he should be able to solve the remaining problems by himself." Ning Chenxin said.

Ning Chen is relatively confident in Tong Yicheng's ability. If Tong Yicheng's professional level is really too poor, then Ning Chen may not help him at all.

Of course, Ning Chen didn't expect to get any benefits from helping Tong Yicheng. This was just Ning Chen's effort.

After seeing Ning Chen off, Tong Yicheng immediately returned to his seat and began to calculate the entire problem according to Ning Chen's ideas.

Although Ning Chen's method was only for one part of Tong Yicheng's research topic, as long as this part was solved, Tong Yicheng was very confident that he could successfully solve all the remaining problems.

With a strong sense of excitement and anticipation, Tong Yicheng's condition was unprecedentedly good, and he completely entered a state of selflessness.

Even when it was time for lunch, Tong Yicheng didn't feel hungry at all.

Tong Yicheng continued to calculate like this until the afternoon. Finally, Tong Yicheng calculated the final result.

"Sure enough, this method is really feasible!"

Calculating according to Ning Chen's ideas, Tong Yicheng did obtain higher-precision analysis results.

"Now, this research can continue!"

At this moment, Tong Yicheng could vaguely see the day when his paper would be officially published.

Feeling a little hungry, Tong Yicheng looked at the time and realized that he had been counting for so long.

After eating something briefly, Tong Yicheng checked the calculation again to ensure that there were no errors in his calculation results.

In excitement, Tong Yicheng sent Ning Chen a message on QQ, telling Ning Chen that he had achieved the desired result.

"Junior brother Ning Chen, I just calculated it according to your idea, and I can really get higher-precision analysis results than all the previous methods! You really helped me a lot this time!"

After sending this message, Tong Yicheng still felt that he could not express his inner emotions. After thinking about it, he started typing in the input box again.