CHAPTER 483: CHAPTER 155 UNDER THE SPOTLIGHT_3

"Hmm." Qiao Xi responded softly.

"Can you understand?" Yuan Zhengxin asked again.

"I don’t quite get it just by reading the paper, but after Qiao Yu explained it, I kind of got it." Qiao Xi answered.

Yuan Zhengxin nodded with satisfaction. Mathematics is like that, being able to understand already puts you ahead of ninety percent of ordinary people.

It’s been this way since middle school, though it wasn’t as obvious then. By high school, math scores tend to show a trend of polarization.

And it’s quite simple to find out whether a high school student with decent math scores actually has mathematical talent. Just ask them if studying math is tiring.

If a student has to tirelessly grind problems to get high scores in high school, they probably don’t have much talent, and it’s best to stay away from mathematics when choosing a major.

After all, this is a subject where effort alone isn’t much use once you reach a certain level.

Yuan Zhengxin asked again: "Did you discuss with Qiao Yu what other work needs to be done to further lower the upper bound, or even completely solve this proposition?"

Qiao Xi shook her head and said: "We haven’t discussed it, but I think if there’s to be a breakthrough, it needs further optimization in the construction of the modal path.

Also, some number theory methods should be considered, like the sieve method, to verify the infinitude of the prime pairs on the path again."

Yuan Zhengxin thought for a moment, then said: "He didn’t ask you to help with that work?"

Qiao Xi shook her head again and said softly: "He asked me to first attempt a proof of the modal existence of twin primes."

"Oh? Do you have any ideas?"

"Briefly mentioned a little."

Saying this, Qiao Xi took out paper and pen, casually writing down some concepts: "Qiao Yu said that introducing the twin property requires a new mapping concept. For instance, a higher-order nonlinear operator to find core symmetries in the modal space.

Given these modal mappings are nonlinear and irreversible, he designed an operator matrix structure called the Supermodal Operator Matrix, abbreviated as HOM, whereby for any modal (α,β), specific elements satisfy the following characteristics."

After casually jotting these down, Qiao Xi shook her head slightly, explaining: "Honestly, I find it very difficult. Qiao Yu often has some ideas that... well, I find the angles very bizarre, and I can’t keep up with his thought process."

Yuan Zhengxin smiled and said: "It’s normal not to keep up with his thought process. Looking at today’s audience of three thousand people, at least three thousand people can’t follow his thought process.

But you should feel that Qiao Yu hopes you can help him. So even if it’s tough, you have to keep thinking about it diligently. Believe in yourself. Your work is crucial in helping him thoroughly solve the Twin Prime Conjecture.

Solving this problem allows him to challenge higher peaks. So do me a favor and don’t let this young boy slack off, alright? At the very least, don’t let him slack off during his most creative time!"

"Huh?" Qiao Xi found it hard to imagine an authoritative elder using a tone with a hint of plea to say these words to her, being momentarily stunned.

However, Qiao Xi quickly composed herself, nodding rapidly as she replied: "Rest assured, Teacher Yuan, I will definitely encourage Qiao Yu to keep working hard."

"It’s not just that he needs to work hard. Have you considered the possibility that he’s actually waiting for you?" Elder Yuan asked back.

"Hmm... I’ll work hard too." Qiao Xi, who never thought studying was a burden, suddenly felt a weight as heavy as a mountain settle on her slender shoulders...

She glanced at Qiao Yu, who was confidently presenting on stage, and couldn’t help but feel a bit stifled.

...

By this point in the report presentation, many people in the back rows were already quietly slipping away. Most were students and math enthusiasts, though there were also a few professors.

This is actually inevitable.

Attending a presentation, if you can’t understand anything at all... everyone can relate to this experience; it’s similar to the feeling of not understanding things in a math class.

In short, once you don’t understand, those complex formulas are like celestial scripts, not earthly language. It becomes boring, with time seemingly crawling along.

If we add that the students able to attend this meeting are generally math major graduate students, it might make them feel greatly discouraged, potentially leading to a series of negative emotions.

For instance, feeling like their studies and mathematical research are not quite aligned with others. Even for those also in the number theory direction, without a certain understanding of the preliminary framework, it’s indeed very hard to grasp the geometrical construction of number theory problems...

In any case, this is a very painful thing. If you consider that the mathematician giving the presentation is sixteen years old this year, it can easily double the discomfort.

Fortunately, Qiao Yu, sitting on the podium, didn’t actually notice these things. Even if he did, he didn’t much care.

If he felt excited the first time he gave a presentation, now Qiao Yu is merely fulfilling a task, mainly because his starting point was too high.

"...According to Lemma 5.7, the modal convolution on path Γ∗ describes the distribution pattern of the modal points. The pattern in a local area is shown in the figure:"

"By controlling the maximum width of the base, the modal point spacing can be limited to no more than 6. Also, because the global structure of the modal path Γ∗ is periodic, its local high-density characteristics repeat globally. Therefore, the modal distance of any modal points r_p, r_q ∈ Γ∗ satisfies: d_M (r_p , r_q ) ≤ 6