Top Student at Their Peak Chapter 428: 143 If You Can Accomplish It, Your Contribution

Chapter 428: Chapter 143 If You Can Accomplish It, Your Contribution Will Be Greater Than Newton!_4

This math problem can easily be answered by any child who has attended kindergarten.

However, within the axiom system designed by Qiao Yu, because N(1) = {N_α,β(1) ∣ (α,β) ∈ all modal spaces}, N(2) = {N_α,β(2) ∣ (α,β) ∈ all modal spaces}.

Therefore, the equation becos: N_α,β(1) ⊕ α,β N_α,β(1) = N_α,β(2)

If modal paraters are substituted, it can further transform into: N_α,β(1) ⊕ α,β N_α,β(1) = N_α,β(2 δα,β)

Once in a periodic modal space, a conclusion can be drawn that N_α,β(1) ⊕ α,β N_α,β(1) = N_α,β(0).

Because this ans that 1 1 returns to a modal value of “zero,” forming a closed structure in the modal space.

Wait a mont…

So if one must provide a general solution for 1 1 within this axiom system, it is: N(1 1) = {N_α,β(1) ⊕ α,β N_α,β(1) ∣ (α,β) ∈ all modal spaces}

To the average person, this seems like complicating a simple problem.

But for a mathematician, especially one studying number theory, it feels incredibly flexible!

Different expressions directly represent different hierarchical structures and the anings mathematicians wish to assign them.

This ans that in future papers, there’s no need to define a host of mathematical symbols with special anings, unifying all mathematical constructions.

In traditional number theory research, authors often have to create a set of symbols or definitions for specific structures to describe a phenonon or problem, which increases understanding difficulty and hinders broad dissemination.

That’s how traditional mathematical analysis operates. It even has the fancy na of custom fraworks.

But if Qiao Yuzhen can create this frawork, it would define a highly flexible and unified mathematical language for number theory and even future algebraic geotry research.

No need to redesign a set of symbols for a particular problem; just select the appropriate expression from this comprehensive frawork!

Whether it solves the Twin Pri Conjecture isn’t even relevant anymore, because if this frawork is successfully created and popularized, it would provide future mathematical research with sothing akin to a programming language.

Clearly, Tian Yanzhen has also realized this and looks at Qiao Yu with an inspecting gaze and a hint of confusion.

“Could you tell the purpose of designing this axiom system?” Zhang Yuantang, after a mont of silence, asked his first question.

“Wasn’t it you who said we should start from classifying numbers for pri number research? I am categorizing all numbers, don’t you think it would facilitate subsequent research on pri numbers?

The ultimate aim is, of course, pri number research. Though it may seem complex now, I’ve considered it thoroughly; under this frawork, analyzing symtry and invariance would be much more convenient.

Especially considering if I can develop this system, the Twin Pri Conjecture becos the modal distance relationship between pri pairs in different modal spaces.

Can’t we then build a bridge between number theory and geotry? This way, when conducting conjecture research, those geotric tools can also be included.

Using geotric tools to analyze number theory problems, symtry, invariance, periodicity, curvature…

Imagine, geotric, topological, differential geotric tools can be used directly for number theory analysis, broadening the perspective for analyzing number theory problems all at once?”

Qiao Yu said enthusiastically and sowhat proudly.

Indeed, Qiao Yu also had personal motives for designing this axiom system.

Qiao Xi will be focusing on geotry under her grandmaster’s guidance in the future. He’s already decided to pursue research in number theory. So how can both work together?

Of course, a unified frawork is needed.

By breaking down a complex number theory problem into multiple geotric problems for analysis, he could justifiably incorporate his mother into his research team.

This way, if they achieve results, no one could criticize it. After all, his frawork allows for solving number theory problems using geotric thods.

Just thinking about it, it’s quite exciting. Qiao Xi would be the most supportive assistant in his future number theory research.

Clearly, for Qiao Yu, climbing the peak with another person is more interesting than climbing alone. Not to ntion, it would be more fulfilling.

However, after saying all this, Qiao Yu was sowhat puzzled by Tian Yanzhen and Zhang Yuantang’s exchange of glances.

He couldn’t help but ask suspiciously: “Uh, am I wrong, or is there sothing wrong with the design of my system that makes you skeptical?”

Zhang Yuantang took a deep breath and said: “Based on the simple definitions and few examples you’ve given so far, there’s nothing apparent at the mont, but…”

Qiao Yu hastily interrupted: “Sorry, Professor Zhang, let interrupt for a mont. Indeed, the examples I showed are sowhat simple due to ti constraints; I haven’t had the chance to incorporate more elents.

But I actually have many ideas. And I’ve considered that this frawork can fully encompass group theory, graph theory, and other theories.

For instance, if we define a modal group, it can also include all possible modal mappings, with group operations defined as compositions of mappings.