Chapter 431: Chapter 144: Focus on Reporting Major Research Projects!

“Isn’t your design for modal dependency a bit too casual?”

“Grandfather, how can it be casual? This leaves room for future expansion. Integers can also extend to P-adic numbers, right? So the structure of modal numbers is the same.

As long as you use specific modal mappings or directly define systems of modal equations, you can maintain the consistency and interpretability of the mathematical structure…”

…

“Isn’t your definition of the modal convolution operator too complicated? Show me a specific operation!”

“No, Grandfather, it just looks complicated, but it’s actually an extension of the classical convolution. For elements generally satisfying rotational symmetry, the convolution operation doesn’t change with location in space.

For instance, in the modal space on a unit circle, you can use polar coordinates with a uniform measure dμ(x, y) = dθ, and the convolution no longer relies on complex multivariable measures.

If it’s in symmetric modal space, since convolution maintains symmetry, you can simplify the computation of convolution via Fourier Transform. Simply convert the convolution operation into multiplication in the frequency domain.

Here, let me give you an example, but don’t rush, take it one step at a time. We’ll start with the symmetric modal convolution formula, directly translating two functions and summing them from classical convolution…”

Saying this, Qiao Yu casually picked up a paper and pen.

The old and the young, one asks and the other answers. But the questions are fewer, and the answers are many…

Elder Yuan would ask a question, and Qiao Yu would answer a heap, occasionally needing to write a bunch on paper to explain.

Beside them, Tian Yanzhen and Zhang Yuantang also lost interest in chatting and gathered behind the old man and Qiao Yu to see Qiao Yu’s deductive process.

In this way, three bigwigs gathered together, surrounding Qiao Yu in the middle.

When Tian Yanzhen’s assistant, Xiao Li, who still didn’t have a name, brought Qiao Xi and opened the office door, they saw this scene.

Xiao Li hesitated whether to say something, but luckily Tian Yanzhen heard the sound and looked up.

Very surprised, but immediately reacted.

“Qiao Xi is here, please come in.”

Qiao Yu, who was doing the deduction, also immediately looked up when he heard Qiao Xi’s name, and exclaimed in surprise: “Mom.”

Elder Yuan took a look at Qiao Xi and said solemnly: “Qiao Xi, just sit anywhere for now, we need to wait a while, let Qiao Yu explain some of his ideas.”

Zhang Yuantang, on the other hand, looked a bit bewildered at the woman standing at the door who looked like a star.

Is Qiao Yu’s mom this young?

Realizing that an unfamiliar old professor was looking at her, Qiao Xi smiled and nodded as a greeting.

“Okay, Elder Yuan, Professor Tian. Qiao Yu, go ahead with your explanation.”

She said lightly, exchanged a curious glance with Qiao Yu, and then shook her head slightly. Qiao Yu lowered his head, but his manuscript deduction sped up a bit.

Qiao Xi casually found a seat and sat down, curiously watching the three elders surrounding Qiao Yu, looking serious and deep in thought.

There was no more empty space next to Qiao Yu, and she was too lazy to join the crowd. Seeing the Academicians listening so attentively, she assumed she wouldn’t understand.

Qiao Xi even suspected Qiao Yu did this on purpose, just to show off in front of her today.

Qiao Xi had long been accustomed to Qiao Yu showing off in ways different from other kids in front of his grandfather and her.

In Qiao Yu’s words: “Language is the most pale, powerless, and worthless thing in this world.”

Qiao Xi didn’t even know where young Qiao Yu got these bizarre notions from.

She suspected it was taught by Qiao Yu’s grandfather, who loved to discuss things with children which children shouldn’t know about, but as long as Qiao Yu’s grandfather wasn’t caught in the act, he would never admit it.

Oh well, for Qiao Xi, spending time alone wasn’t hard. There was no loneliness, boredom, awkwardness, or feelings of being neglected or any other negative emotions, let alone random speculations about others’ thoughts.

Because as long as you sit quietly and empty yourself, the hard times can pass by daydreaming.

“This is all I can think of now, I feel this framework is feasible. I think as long as I complete this axiomatic system, I will surely solve the Twin Prime Conjecture in the future.”

Qiao Yu finally concluded.

After speaking, he glanced at Qiao Xi sitting across from him and showed a youthfully bright smile.

Actually, considering Qiao Yu’s age—a sixteen-year-old boy—his smile naturally should have a youthful feel.

But if it wasn’t in front of Qiao Xi, Qiao Yu’s smile rarely appeared so pure.

“Hmm, interesting, very interesting, if this is developed, it must be included in the textbooks.”

Yuan Zhengxin said holding Qiao Yu’s manuscript.

“Indeed, aside from other implications, given the current chaos of symbols in the mathematical system, having such a strategic framework at least allows for the re-unification of mathematical symbols.

The last paper I reviewed used both sharp and flat; if this continues, I suspect high and low music notation might be used in math papers.”

Zhang Yuantang echoed nearby.

Tian Yanzhen shook his head and said: “This concept cannot be described with a single framework but rather as a highly inclusive research platform.

Especially when number theory is contextualized into geometry, breaking down number theory problems for geometric space analysis has significant meaning. The purpose of inviting the gentlemen is to discuss how to proceed with this project.”