I was a top student in America.

Upon hearing this, Liu Guifang didn't even stumble, and immediately chimed in with a cheerful laugh.

"Great! Go quickly. You've finally finished the competition, go relax. You've been exhausted lately."

The old lady's face beamed with joy. "Are there any girls coming along? If you find a suitable one, bring her back so Grandma can take a look."

As she spoke, she got up to rummage through the metal box under the TV cabinet, constantly asking him if he had enough money on him.

Seeing his grandmother's enthusiasm, Li Ao was both amused and exasperated.

He has no interest in dating right now; his mind is completely occupied with the final steps of the HH weighted inequality derivation.

If he can overcome this tough challenge, his intelligence attribute will most likely break through the 110 mark.

But these things can't be said openly, so we can only disappoint the old lady for now.

"Everyone just finished the competition and needs to catch their breath. The celebration will be held tonight." Li Ao interrupted her thoughts directly. "Perfect timing. I still have a problem to solve and I want to think about it now."

"what?"

Liu Guifang, who had been all smiles, froze on the spot upon hearing this. She opened her mouth, wanting to urge her grandson to stop worrying about the problem and go relax, but she swallowed the words back.

She knew in her heart that her grandson now truly took studying seriously.

The old lady could only silently turn around and clean up the empty bowls on the table, but she couldn't help but give a word of advice:

"Then take a short nap after you finish writing. Staying up all night every day, even an iron body can't take it."

"Okay!"

After giving a perfunctory reply, Li Ao crawled back into his cramped bedroom.

The old clock on the wall showed just past one o'clock in the afternoon. He took out his notebook and continued to work out his previous train of thought.

The pen scratched on the paper until a system notification popped up on the panel:

[High-intensity exertion in progress... Stamina +0.1].

Li Ao then stopped writing, lay back on the bed, and quickly replenished his energy through [deep sleep].

When I opened my eyes again, it was not yet six o'clock.

He went to the pool and splashed his face with cold water, stuffed his notebook and pen into his schoolbag, and pushed his creaking secondhand bicycle onto the street.

Braving the cold wind, I rode through the dilapidated streets of the South District all the way to the underground entrance of 51st Street.

Behind the mottled graffiti-covered iron gate is the "Iron Window" bar.

This is a long-standing haunt for high school students from several nearby blocks who use fake IDs to seek pleasure.

Although this was Li Ao's first time here, he had heard DeMarcus mention it many times before, and Malik had talked about the ins and outs of the place several times before the match.

It's still early, far from the time when the midnight demons are dancing wildly.

Li Ao bypassed the main entrance, turned into a dark alley, and gestured with his chin towards Malik, who was leaning against the wall, puffing on a cigarette.

Malik casually stubbed out his cigarette and grinned, "You arrived just in time."

As he spoke, he took a plastic card out of his pocket and handed it over.

In these chaotic underground venues, the security guards at the entrance usually just give a cursory glance, and unless someone looks too young, no one actually checks their birth date.

Li Ao stuffed the fake certificate into his pocket and pushed open the heavy, soundproof door.

"That girl's waist-swaying is really cool!"

"Bring two more dozen beers to this table!"

"Change the song! Let's play something more upbeat!"

Amid the noise, he skillfully made his way around the edge of the dance floor, ignoring the young men and women who had already begun to sway to the rhythm, and headed straight for the empty booth in the innermost corner.

The booth area wasn't crowded yet, but the deep bass was already making everyone's heart pound.

A fast-paced hip-hop song played on the dance floor. Li Ao sat down on the sofa in the dimly lit corner, unzipped his backpack, took out his notebook and pen, and placed them on the low glass table.

The spotlights overhead cast an ambiguous, dim yellow light, barely enough to illuminate the paper.

He turned to the page with the folded corner, and his thoughts instantly connected with the previous reasoning.

In less than five minutes, the deafening music and the blinding flashing lights were all shut out of his consciousness.

The pen tip flew across the paper, and the blank spaces were soon covered with dense mathematical symbols.

If a drunkard were to pass by right now, he would surely think he was drawing some kind of cult formation.

Li Ao's eyes grew brighter and brighter; he had finally grasped the clue to breaking the deadlock.

Define the integration interval under the weighted function w(x): ∫_a^bf(x)w(x)dx.

By applying Jensen's inequality to the convex function $f$ and scaling it, the extreme boundary on both sides gradually becomes clearer...

Meanwhile, Maya was searching through the crowded streets in her high heels.

Jamal's girlfriend, whom he had only recently started dating, had already agreed to celebrate their victory at the prison, with their meeting point being the old booth at the very back.

She arrived a little early on purpose, following the dim light as she walked inside.

She used to feel guilty sneaking into these underground bars, always afraid of running into persistent drunkards and hooligans.

But tonight was different. With her boyfriend on the school basketball team protecting her and a fake ID in her hand, she felt very confident.

She even planned to use a headache as an excuse to go crazy tonight.

If Jamal performs well, she wouldn't mind giving him a "special reward".

After dodging a few stumbling drunkards, Maya finally made her way to a booth in the corner.

"Finally found it..."

She muttered to herself, about to throw the heavy bag onto the sofa, when her gaze suddenly fell on the things spread out on the table.

Maya froze, her movements instantly frozen.

The glass table was spotless, with no foreign liquor, no ashtray, and no contraband powder, only an open, tattered notebook.

A tall, imposing boy was frantically writing something under the spotlight above his head, without even looking up. His expression was so solemn that it was as if he were attending a church service.

Maya's mind was buzzing: Who the hell does math problems in a nightclub?!

This guy must be crazy!

The key is his focused intensity, which is even more devout than those ex-boyfriends who made solemn vows to trick her into sleeping with them.

Is it really necessary to be this sentimental over a pile of tattered draft papers?

"It must be because the light was too dim and I misjudged..."

Maya rubbed her eyes vigorously.

But when I opened my eyes again, the entire page of formulas, as dense as a spider web, was still lying steadily on the table.

"It's a cult! I must have run into some kind of psychopath!"

After confirming that he wasn't blind, a sudden, inexplicable sense of dread crept up his spine.

All thoughts of celebration and waiting for her boyfriend were thrown to the back of her mind.

Without uttering a sound, she clutched her bag tightly to her shoulder, turned and plunged into the crowded dance floor, fleeing as if her life depended on it.

Just as Li Ao finished writing a line of equations, he looked up to catch his breath and caught a glimpse of a girl clutching her bag tightly, running away from the booth as if her pants were on fire.

He glanced at his belongings with suspicion, and after confirming that his bag was still there and that no one had stolen anything, he decided not to meddle and lowered his head again.

"Smack."

Finally, Li Ao tossed the pen onto the table, exhaled a long breath, and felt an unprecedented sense of accomplishment wash over him.

"By introducing a weighted function and combining it with Jensen's inequality... the bilateral boundaries have finally tightened."

After intermittent derivations over this period, coupled with tonight's extreme breakthrough amidst this absurd "white noise," the final few steps that had been holding us back have finally been seamlessly connected.

This extended weighted inequality is sufficient to make the upper and lower bounds of complex integrals more compact and its applications more extensive.

Just as he was admiring the fruits of his labor, the notification on the panel appeared as expected:

[Deriving new academic conclusions... Intelligence +0.1]

Intelligence Attribute: 110.0

[Unlock new term: Abstract thinking]

[Effect: Greatly enhances the ability to understand and construct abstract concepts; the specific value increases with the Intelligence attribute.]

……