5,000 Meters

g∈ζ(R^2), g≠0

By the definition of the Wiener co-space, x takes the L^1 norm.

Combining Minkowski integral

Shen Qi jotted down a mathematical inspiration in his notebook, then gathered his belongings and left the Capital University of Physical Education stadium.

The paper, "A Class of Bounded Analytic Operations for Strong Singular Integral Operator Along Homogeneous Curves," has reached the final stage of development. This was a project assigned by Professor Lu.

It's so annoying! It's almost finished, but I just can't seem to get that finishing touch.

Fortunately, we made some progress today.

After Shen Qi finished the men's 5000m preliminary race, inspiration struck him.

That evening, Shen Qi completed the paper.

Before submitting the manuscript, of course, we need to have Professor Lu review it.

The next day, Shen Qi printed out the paper and handed it to Lu Guozhen.

"Leave the paper here with me, I'll take a look," Lu Guozhen said.

Several months ago, Lu Guozhen assigned this project to Shen Qi, promising Shen Qi 15 math credits if he could complete the paper.

The situation changed rapidly. Shen Qi recently received his bachelor's degree in the Mathematics Department, and the 15 math credits were no longer important.

"Shen Qi, are you dressed like that for a trip?" Lu Guozhen asked.

Shen Qi was wearing a hat, sunglasses, sportswear, and sneakers, and carrying a sports bag, sporting a sporty and casual style.

"I'm going to participate in the track and field competition," Shen Qi said.

"Really? Where is the competition held? What time does it start?" Lu Guozhen asked with great interest.

Shen Qi: "Capital University of Physical Education and Sports, 6 PM, Men's 5000m Final."

"I'm free tonight, I'll go to the Capital University of Physical Education to cheer you on." Lu Guozhen smoothed his few remaining strands of dry hair and sighed, "Youth is truly wonderful. When I was young, I was a long-distance running champion. Back when we were sent to the countryside, I could run more than ten miles in one go without a problem, and I could also carry dozens of kilograms of grain."

"I'm leaving now, Professor Lu. Remember to review my paper. Bye-bye." Shen Qi waved and left to join the main group of the Track and Field team.

On the way, Shen Qi sent Ou Ye a WeChat message: "No talking about life today, I have a competition."

Ou Ye: "I know, you said that yesterday. I'll go see for myself."

Shen Qi: "Then you can come with Zhou Yu'an and the others."

After arranging the support team, Shen Qi met up with the Track and Field team, and the group headed to the Capital Gymnasium Games venue.

Three members of the team registered for the men's 5000 meters, but only Shen Qi advanced to the final.

"Maintain your form from the preliminaries, control your pace throughout, Shen Qi, keep it up!" Teacher Wu gave a pep talk before the competition; Shen Qi was his last hope.

"Okay, I'll try my best." Shen Qi started warming up, determined to win.

Having ranked second in the preliminaries, Shen Qi felt confident he could make a mark in the 5000-meter final.

After 5 p. m., the Capital Gymnasium Stadium gradually became lively.

The university students had all finished their classes, and the number of people entering the venue kept increasing.

In one corner of the stands, a group of people from the School of the Big Mathematics Department had gathered. Zhou Yu'an, Ou Ye, and Professor Lu were all there.

Shen Qi, with his sharp eyes, spotted his support group in the southeast corner of the stands. He swung his fist in that direction, full of fighting spirit.

"You're in great shape!" Zhou Yu'an shouted, megaphone-like with his hands, "Shen Qi, you have to pull this off! This is for showing off outside of school!"

"Hey, Zhou Yu'an, what are you shouting for? Mind your manners, the manners of a Peking University student," Professor Lu reminded him.

"Please be careful, please be careful," Zhou Yu'an apologized.

"Zhou Yu'an, you're also quite good. You got a perfect score in calculus last semester, and this semester you have a positive attitude and are very enthusiastic about learning." After scolding Zhou Yu'an, Professor Lu praised him, "I know you participated in the IMO and won a gold medal, so your foundation is very strong."

"Professor Lu teaches well, teaches well." Zhou Yu'an was happy to be praised by the professor.

"Ou Ye is equally excellent," Professor Lu said to Ou Ye, "But Ou Ye, you are too quiet. You are so young, like the rising sun, you should be a little more active."

Ou Ye: "Hmm."

"She's only slightly more active around Shen Qi; with us, it's all about communicating with her telepathically." Zhou Yu'an was one of the few people in the class who could actually communicate with Ou Ye.

"It seems Shen Qi is quite popular." Professor Lu glanced at Shen Qi on the field, then at Ou Ye, lost in thought.

On the track, outside the track, Shen Qi finished his warm-up exercises and was about to check in when he suddenly saw a tall, leggy female reporter from the media area, nearly 1.8 meters tall, smiling at him. Her smile was very bright.

Shen Qi walked up to the female reporter and said, "Reporter Chen, you're only a freshman and you're already a reporter?"

Chen Xiaoting tugged at her badge. "Just a trainee reporter, a newbie. Shen Qi, I have some news for you, you've been followed by our team. Keep it up, Shen the academic star!"

Shen Qi shook his head. "It's General Shen."

Chen Xiaoting laughed and said, "In this arena for university students, athletes are nothing special; it's the top students who get the news attention."

In the stands, Zhou Yu'an keenly noticed something. "The men's 5000m final hasn't even started yet, and Shen Qi is already being targeted by reporters? That female reporter is quite tall, her legs must be 1.8 meters long!"

"Nonsense, he's nowhere near 1.8 meters tall." Professor Lu followed Zhou Yu'an's gaze. "Is Shen Qi somewhat famous outside of school?"

"A top student, he's handsome, and he can run fast—the tallest tree catches the most wind," Zhou Yu'an said, paying more attention to the female reporter. "This reporter's legs are at least a meter long, if not 1.8 meters. I guarantee it with my math expertise. Looks like Shen Qi is popular with women. Ou Ye, your idol has been targeted by some glamorous young lady."

Ou Ye remained silent, staring blankly at Shen Qi and Chen Xiaoting.

Shen Qi chatted with Chen Xiaoting for a few minutes before heading to the check-in area, where the men's 5000m final was about to begin.

At 6:02, 15 college athletes took to the track, and Shen Qi was among them.

These 15 university students come from 10 universities in the capital and will compete in the men's 5000-meter final.

"On your positions!"

The starter gave the signal to get ready, and the 15 runners took their starting positions, all standing up.

Bang!

The starting gun fired, and the men's 5000-meter final began.

In the 5000-meter race, there are no lanes; whoever gets the best position wins.

After the start, a runner from Shuimu University took the lead.

Shen Qi was in the middle of the group, running alongside.

This was not a purely amateur competition within Yenching University; many of the university students from other schools on the field possessed professional-level skills.

During the run, Shen Qi opted for a safer strategy, running a few laps to test the waters.

2000 meters have passed, and Shen Qi is still in the middle of the pack, seemingly unable to unleash his full potential.

"Why is Shen Qi so listless? Run! Go for it!" Zhou Yu'an looked quite anxious. He remembered that at last year's Yanda Long-Distance Running Festival, Shen Qi won the championship and lapped someone else.

It wasn't that Shen Qi didn't want to take the plunge; he just felt the time wasn't right.

After 3000 meters, Shen Qi suddenly increased his stride frequency and made a sudden advance by cutting off the outside lane.

"Yeah, charge! Shen Qi, don't back down!" Zhou Yu'an seemed even more nervous than Shen Qi.