"Qiao Ze, are you ready to be a father?"
"Does being a father require preparation?"
"Of course, children are the most precious gift this world grants us, of course, preparation is necessary."
"Hmm."
"So, are you prepared?"
"Hmm."
"What kind of preparation?"
Lying in bed, Qiao Ze thought for a mont and answered resolutely: "To live, and strive to live longer."
By his side, Su Mucheng blinked, thought of Qiao Ze's background, instinctively tightened her grip on Qiao Ze's arm and then, with overflowing maternal love and spirited determination, she said: "Qiao, you're right, as long as we live long enough, nobody can defeat our child."
"Hmm, let's sleep."
"Okay."
...
anwhile, in the guest house at Xilin University of Technology, several academicians are humbly seeking advice from professors of the Xilin Mathematics Research Institute.
Li Jiangao directly invited Xu Changshu, who transferred from Yanbei to Xilin and then joined the Xi Lin Mathematical Research Institute.
He thought that since Xu Changshu was quite familiar with several academicians, their interactions wouldn't be too awkward.
Ma Xuming brought out a handwritten manuscript by Qiao Ze from that afternoon, discussing its equations with Xu Changshu, who had been at Xilin for a long ti.
"Professor Xu, since you specialize in Qiao Algebra, could you first explain these equations from a mathematical perspective? Could you ntion the specific theorems used from Qiao Algebra, and it would be best if you could explain the deduction process in detail, please?" Ma humbly requested.
"Oh no, I dare not, Academician Ma, you're too polite, let take a look first. $x_i = a_i b_i \\epsilon$... Well, these formulas, how should I put it, it's not sothing that can be explained by one or two theorems, it involves operations of hypercomplex numbers under the system of Qiao Algebra, dinsions, eigenvalues, eigenvectors, and such.
Also, it includes so characteristics from inside Qiao Algebra. Well, Academician Ma, from where would you like to start?" Xu Changshu, who entered the Xilin Mathematics Research Institute through his vision and abilities, scratched his head and asked.
"No worries, it's still early, Professor Xu, please start from the beginning. We have also roughly studied so Qiao Algebra, but certainly not as extensively as you have researched. Everyone has their own specialty, after all. This way, treat us like elentary students and feel free to explain, we will ask about anything we don't understand." Zhang Mingrui said cheerfully.
"You're too polite, Academician Zhang, then I shall start from the beginning. I think we should start with the closure property of Qiao Algebra, which refers to the sum, difference, and product of two superspiral numbers still being superspiral numbers..." Xu Changshu began speaking eloquently.
It must be said, this feeling is quite comforting. After all, he was teaching academicians.
"We all know that Fourier transformations can be used in signal processing applications, similarly, solving problems in Qiao Algebra often requires the use of Super Helical Transformations, because when we deal with data, we often need to capture high-dinsional features and structures.
For instance, we design a simple applied problem, a dataset of students' scores in a school contains all the math and language grades of 100 students over a sester.
The dataset of students' scores can be represented as a $100 \\tis 2$ matrix $\\mathbf{S}$. Our current goal is to perform a high-dinsional feature analysis on this data to obtain a statistical result. Traditional statistical thods require many steps, but using a Super Helical Transformation to find high-dinsional features can quickly give us the series of data we need.
Including but not limited to the average score, highest score, lowest score, pass rate, excellence rate, and specific changes in each student's performance over different periods, and so on. The most fundantal formula is this..."
With Xu Changshu's lucid explanations, the academicians finally began to understand the specific anings of the formulas given by Qiao Ze.
"In short, this ans that the given dataset is represented in the superspiral space as a linear combination of superspiral basis vectors. These basis vectors are usually selected from a set of standard basis vectors in the Qiao Algebra, each representing a direction or feature of the data in superspiral space.
It is through this representation that we capture the high-dinsional features and structures of the data. But here, Professor Qiao is using it to provide a more effective data representation for compression algorithms, which is a very flexible application. Honestly, seeing this analytical process today was very enlightening for .
However, the corresponding challenge we often encounter in mathematical research is the selection of suitable basis vectors. If the basis vectors are inappropriate, the processes of dinsion raising and reduction beco especially complex and error-prone. Hence, we usually pair this kind of research with artificial intelligence.
I have an internal tool for selecting optimized basis vectors, which relies on using an intelligent model. Hence, the compression algorithm provided by Professor Qiao, while theoretically similar to these issues, is actually feasible for AI to handle, and relying on these principles to directly design a compression software in the conventional sense is nearly impractical.
A well-compressed format file, even if you switch to an average desktop computer CPU, wouldn't decompress even if it started smoking."
After finishing the last part of his exposition, Professor Xu picked up his cup and took a couple of big gulps of water.
Grasping Qiao Ze's manuscript and comparing it to the content just explicated by Professor Xu, Ma Xuming kept looking at it repeatedly, furrowing his brow and pondering hard, then suddenly clapped his hands in amazent and exclaid.
"Incredible, this is truly incredible. It's all interconnected. Look, the encryption algorithm given by Qiao Ze actually uses a similar approach. It's just that during encryption, the high-dinsional basis vectors mapped by the private key are all hidden, while the public key is openly disclosed. Then, by using the private key, the data is reduced in dinsion. How did Qiao Ze co up with this?!"
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