Senior Sister Zhang nodded and then smiled at Qiao Yu, joining the conversation: "Well, I wouldn’t say I fully understand it. But I have a general idea of the structure of modal space.
I really admire your thinking in designing a space that simultaneously incorporates a coordinate system and trics. Moreover, a modal point can directly represent a certain state of the system.
And the coordinates can change according to the system’s key paraters. To be honest, when I was reading your paper, I felt, how should I say this, that it didn’t belong to this era."
This was the first ti Zhang Xiao spoke today.
Her voice differed from Xia Keke’s youthful naivety, and Qiao Xi’s laziness, having a sense of heroism.
Of course, this was just Qiao Yu’s personal feeling.
However, what Qiao Yu appreciated most about this Senior Sister Zhang was her ability to complint people.
"Feeling like it doesn’t belong to this era." Look at that, so cultured and profound, it makes people happy to hear it without feeling like it’s flattery, that’s not sothing just anyone can say.
The key was that Qiao Yu felt the senior sister was right, it spoke directly to his heart.
There’s a grand sense of without Qiao Yu, mathematics would be like an eternal night. This is also the reason Qiao Yu has been honing his language skills.
People who can speak well easily win the favor of those around them, while those who can’t often offend others terribly without knowing why.
It also made Qiao Yu enjoy chatting with this senior sister a few more tis.
"Actually, it’s nothing too magical. My initial idea was simply to study the distribution of pri numbers more intuitively. There’s no way around it, the current thods of researching pri numbers are too abstract.
If you understand modal space, this problem is easy to explain. It’s rely about mapping laboratory data into modal points, then analyzing those paraters through paths, distances, and densities.
Of course, deriving specific functions to categorize the lab data is also needed. See, once you understand the principles of modal space, it’s straightforward, right?"
Zhang Xiao was stunned, subconsciously looking at her ntor beside her.
Straightforward?
Where is it straightforward?
Seeing the word straightforward in a paper always gives her a headache, and now hearing the word straightforward suddenly, left her completely bewildered.
"Qiao Yu, Zhang Xiao is humbly seeking your guidance, you can’t say you haven’t read the paper, claim you don’t understand modal space, and then brush it off as straightforward when you do understand, can you?"
Professor Lu said cheerfully, but his words pretty much implied that Qiao Yu wasn’t being considerate enough.
Qiao Yu hurried to explain, "No, Professor Lu, Senior Sister Zhang, I didn’t an it that way, it truly is straightforward! Why don’t you ask directly if there’s anything you don’t understand, Senior Sister?"
Zhang Xiao smiled and said, "Since the junior says so, then I’ll ask. I can mostly understand what you said about mapping all data into modal points.
But the laboratory data doesn’t have a clear direction, such as the relationships between the data, their importance, or even significance may not be directly evident. How do you accurately position the data during analysis?"
Without thinking, Qiao Yu replied, "So why does modal space need to have a clear geotric structure? Have you thought about this issue? Data is indeed unordered, even chaotic, but it is orderly in space! See, it’s obvious, right?"
Having said that, Qiao Yu sincerely spread his hands.
"Qiao Yu, answer properly, don’t just say it’s obvious!" Tian Yanzhen next to him, said without giving him any face, probably out of embarrassnt.
Qiao Yu was stunned, then took a look at his ntor and decided to be a bit more honest.
"Hmm, it seems maybe it isn’t that obvious. Let’s put it this way, there might be a lot of experintal data, and when projected into modal space, it results in too many dinsions. We can first use dinsionality reduction techniques to find the most important feature paraters in the data, using these paraters as the coordinates of the modal points.
Of course, there might also be missing values in the experintal data, then using interpolation, fitting, and various other thods to fill in, firstly ensuring each modal point can be completely described. Then repeat the previous step for dinsionality reduction.
In short, we want the data to be systematically organized in modal space, so that the data can be further filtered. Then the low-dinsional projection part is the data we need and which has certain regularity."
This ti, Qiao Yu felt he should have answered very comprehensively. Anyway, the principles were explained very clearly.
If he went deeper, it would involve very specific laboratory details and the design of various parater weighting functions, which couldn’t be explained clearly in a short ti.
Qiao Yu noticed the senior sister opposite still slightly frowning, feeling that she most likely still didn’t understand how to specifically handle it.
But that’s normal.
No matter how seriously she read his paper, it couldn’t compare to his Senior Brother Chen, right?
Chen Zhuoyang, from the ti when this theory was born, was taught by Qiao Yu, step by step, proving those concepts and how to perform nurical verification.
Even so, when handling the laboratory data, he had already deduced the specific functions, yet Senior Brother Chen still called for guidance several tis during the operations.
Of course, this is also related to the abstractness of the entire processing procedure. Senior Brother Chen happened to have so deficiencies in this abstract thinking aspect.
If this Senior Sister Zhang could truly figure out the entire way just by hearing him explain the principles, then he shouldn’t have never heard of her na.
After all, this is Yanbei University, it is unlikely for soone that outstanding to go unnoticed.
"Haha, can’t understand it, right?" Professor Lu laughed and asked.
Zhang Xiao nodded, indeed she couldn’t understand it well.
"It’s normal not to understand. The axiomatic system created by Qiao Yu is inherently quite abstract. Foreign mathematicians also highly regard this system, it could shine brightly. You still have to study hard."
Professor Lu comnted on his student, then turned to Tian Yanzhen and said, "Academician Tian, you should also know, Zhang Xiao is my most gifted student, quite excellent in all aspects, and has been studying functional analysis with for years.
Qiao Yu, so ti ago, ca up with the Generalized Modal Axiomatic System, which she got very interested in and has been studying recently, coincidentally also involved with this laboratory matter. Sigh...
In short, this kid now feels my system is of no use, doesn’t wish to study with anymore, and just wants to learn Qiao Yu’s new system. So today, I brought her here mainly to ask. See if she can apprentice under him, haha..."
Tian Yanzhen looked at Qiao Yu, then saw a face filled with bewildernt.
Goodness, he truly thought this Professor Lu was just here to figure out how he accomplished this.
Turns out it was to bring the senior sister to find a teacher?
Speaking of which, are these professors even reliable? Old Xue only asked him to help revise the paper, but this one, straightforwardly wants to hand off the student to him?
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