Top Student at Their Peak
Chapter 68 - 68 64 Shocking Skills Full Firepower Request for Subscription Request for Monthly Tickets_2

68: Chapter 64: Shocking Skills, Full Firepower (Request for Subscription, Request for Monthly Tickets)_2 68: Chapter 64: Shocking Skills, Full Firepower (Request for Subscription, Request for Monthly Tickets)_2 Qiao Yu felt his face darken.

He knew his mom’s thinking could be quite erratic, but lately it seemed to jump more than ever.

“Comrade Qiao Xi, please acknowledge your position in the family!

At my age, the biggest fear normal parents have is their child getting into an early romance!” Qiao Yu declared righteously.

Qiao Xi retorted, “Do you know why those parents fear early romance for their kids?

Isn’t it just because they’re afraid it will disrupt their studies?

So, do you think early romance would disrupt your studies?

You’re not a normal child, why should I be a normal parent?”

Qiao Yu sneered and retorted, “Is there a possibility that normal parents aren’t afraid of disrupting studies, but are afraid of accidents involving life?”

That one sentence clearly left his mom sitting on the sofa in a momentary daze.

This made Qiao Yu regretful, just as he was thinking of saying something to fix it, Qiao Xi casually said, “No big deal.

With your cautious nature, that’s unlikely.

Do you know what I fear most?

You habitually calculate everything, so calm you’d think your hormones don’t even secrete—are you truly happy like this?”

Without waiting for Qiao Yu to reply, she casually waved her hand and said, “Alright, go focus on your studies, don’t bother me watching TV.”

Qiao Yu said nothing, slinking back into his room.

Feeling very annoyed, he knew he could never win an argument with his mom, yet still managed to shoot his mouth off…

His ability to control his emotions was somewhat lacking!

But it wasn’t entirely his fault; Qiao Xi probably knew best how to break his defenses.

Fortunately, studying brought joy; when immersed in the beauty of Number Theory, all unpleasantness could vanish instantly.

Who said he had no hormone secretion?

He was truly happy when working on problems every day!

Once immersed, he could feel the madness of those mathematicians.

Especially today, as he prepared this problem, which he found on a professional math forum.

According to the poster, also the creator of the thread, this was a particularly interesting Number Theory problem.

He found this forum by chance, tucked away pages behind in a search engine corner.

If it weren’t for coincidentally searching math problems that overlapped with some threads in the forum, it might never have been noticed.

Even registering for the forum was different from typical forums.

Probably inspired by a certain B-starting website’s tactic, this math forum required solving problems to register, and they were all math problems.

Although for registration, there couldn’t be large problems due to the system’s difficulty in automatically reviewing them, fifty math multiple-choice questions were daunting enough.

Each question was worth two points, and you needed over ninety points to successfully register as a member.

Plus, only after successfully registering and logging in could one browse the forum’s content.

Otherwise, one could only view thread titles on the webpage interface.

So, Qiao Yu spent half an hour during the day finally registering successfully.

Then he saw this pinned post.

Qiao Yu clicked in and saw a bunch of users with the Math Freak title giving the thread’s creator a thumbs-up, and commenting that the problem was really interesting!

In this forum, a Math Freak was someone who had answered at least eighty verified math questions, a title earned only by very skilled math players.

For a newcomer like him, he only had the Novice title.

Not even Math Novice, just the plain Novice!

To get the Math Novice title, he had to answer a question in a help thread on the forum and be tagged as satisfactory by the thread creator.

Advancing to the Math Freak title, then the only title above was the Math Expert, extremely rare in the forum and not often active.

The problem creator just happened to hold the Math Expert title.

So this seemingly simple problem piqued Qiao Yu’s interest early in the afternoon.

It was actually just an equation that required an integer solution.

The equation specifically looked like this:

In the first step, Qiao Yu didn’t need to think much, just a glance told him that the equation was most likely homogeneous.

This meant if (a,b,c) were a particular solution of the equation, then (7a,7b,7c) would also be solutions.

The reason was simple.

Multiplying each variable by a constant didn’t change the equation’s structure, a concept learned in elementary school where numerators and denominators could be canceled.

So Qiao Yu transformed it into a polynomial function by clearing fractions and adding a coefficient t, getting a Diophantine equation.

It looked like it was in three dimensions but was actually only in two dimensions.

Yes, after some study, Qiao Yu had developed the ability to visualize the geometric definition in his mind upon seeing an equation.

A three-variable equation generally defined a surface of two cones, while k n-variable equations defined a d-dimensional manifold.

Specifically for this problem, the surface was formed by rotating a line through the origin.

But at this step, after removing the denominators, Qiao Yu was a bit stumped.

It clearly transformed into a cubic equation after simplification.

And it was a cubic Diophantine equation.

At this point, Qiao Yu wasn’t aware that Diophantine equations varied greatly in difficulty based on degree.

According to the Math Freaks on the forum, solving a first-degree Diophantine equation was easy for anyone, a second-degree could be solved using elementary math methods, but a third-degree involved all sorts of profound theories and countless open problems.

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