"Yu Lei, if the behavior of this conjugate equation is the same as v=Ulogr+V, and U and V are continuous in the region R, then what is U(ε,ζ) equal to?"

On the third day of the Olympiad national team's training camp, Director Liu tapped on the blackboard with a blackboard eraser. Today it was his turn to talk about algebra, and he was the coach in charge of algebra.

"It's equal to... 1?" Team member Yu Lei replied without confidence.

"Why do you think for so long!" Director Liu scolded, "Yu Lei, I really don't know how you were selected for the national training team? Okay, U(ε,ζ)=1, then I will surround (ε,ζ) A circle, and then remove it from the integral area, then when the circle shrinks to (ε, ζ), can it be obtained by the generalized Green's theorem?"

"Get it... get it?" Yu Lei was dumbfounded, and he trembled as he spoke.

"Idiot!" Director Liu yelled, and he asked, "What do you get?"

Yu Lei: "Get, get, get, get, get, get..."

"Forget it, sit down, it will be embarrassing for you to go to the international arena at your level." Officer Liu shook his head in disappointment.

Yu Lei sat down with a dazed expression on his face, still trembling in a low voice: "Dedede...dede..."

"Hey." Shen Qi couldn't bear to sigh, it's over, this buddy is crazy.

"Zhou Yu'an!" Director Liu called the name of another team member.

Zhou Yu'an stood up nervously.

Director Liu asked: "Continuing from the previous question, if the function v is Green's function, then add the condition that v is 0 on the boundary of R to the definition of Green's function, what can be obtained?"

Zhou Yu'an scratched his head and ears, puzzled.

"Zhou Yu'an, I ask you what you can get!" Director Liu roared angrily.

Zhou Yu'an went from nervous to terrified, and finally smiled strangely: "Hehe."

"What do you get?" Officer Liu's face sank.

"Hehe, hehehe." Zhou Yu'an smirked.

"Forget it, sit down, the Olympiad national team is ashamed of you." Officer Liu was angry and helpless.

Zhou Yuan sat down, very much like the second idiot at the entrance of the village in a country movie: "Hehe, hehe, hehehe."

"Hey." Shen Qi couldn't bear to look directly at it, and when it was over, he lost another fool. Officer Liu is really cruel and ruthless. One algebra training class made one team member crazy and made one foolish. Is this a training camp or a concentration camp?

"I'm so mad...I...I...wait a minute, I'll take some medicine." Director Liu felt a dull pain in his heart, so he quickly took out the medicine bottle and took a Baoxin Pill.

"I'm a person who can't be excited, angry, or provoked. I beg you guys, can we fight?" Officer Liu was annoyed, and switched to the method of provocation.

Swipe!

Officer Liu picked up the chalk and scribbled on the blackboard, writing down a new formula.

"Who can tell me how to transform this second-order equation into first-order in the simplest and most effective way? If you can, please raise your hand?" Director Liu no longer singled out the name of any team member, but asked questions to all the team members.

Five seconds passed and no hands were raised.

"A group of... idiots!" Officer Liu started the group mocking mode.

Ten seconds passed, Shen Qi raised his hand.

"Shen Qi?" Officer Liu saw that Shen Qi raised his hand first, and said, "Shen Qi, wait a moment."

After taking another peace-of-mind pill, Director Liu felt relieved: "Shen Qi, you can tell, or you can come up and write."

"Let me write." Shen Qi walked up to the podium, picked up half of the chalk and began to write.

Let ax^mdx^p=y^ndy^p-2d^2y

do the following calculation

...

get dy/dx

fixed constant α

Thus eliminating the exponent factor...

...

Then transform z=dv/dt

Convert second-order equations to first-order

Solved

After Shen Qi finished answering, he gently put the chalk into the blackboard slot, returned to his seat and sat down.

"Get it... I got it!" Yu Lei, who had been "got it" all the time, his eyes lit up and he returned to normal.

"Haha...haha, yoha, you can still transform like this!" Zhou Yu'an no longer smirked, he gained inspiration from Shen Qi's answer.

"That's right, student Shen Qi's brain is very bright." After all, Officer Liu had taken medicine and was resistant. He praised Shen Qi greatly, and he didn't experience any heart discomfort.

This algebra training class is finally over, and no team member will go crazy and stupid again.

During lunch, Yu Lei and Zhou Yu'an stood guard on both sides of Shen Qi.

"Shen Qi can do it, after all, he is a gold medalist in the national finals, very strong." Yu Lei said.

"Not only a gold medal, but also a perfect score." Zhou Yu'an added.

Shen Qi was neither proud nor overly modest: "It's okay, how about you two, why didn't we see you in this national final?"

Yu Lei: "I was selected for the training team through the Mathematics Elite Cup."

Zhou Yu'an: "I participated in the Wisdom Cup and won the championship."

"Oh, Yu Lei is also the champion of the Mathematics Elite Cup?" Shen Qi asked.

"Yes." Yu Lei nodded, "But neither the Mathematics Elite Cup nor the Wisdom Cup can compare with the Mathematical League Finals. Shen Qi, your gold medal with full marks in the National Championships has the highest gold content."

China has a vast territory, a large population, and a large number of students. The mathematics competitions in high school are not limited to the number couplets.

If Shulian belongs to the top league at the Premier League level, then the Mathematics Elite Cup and Wisdom Cup belong to the Eredivisie and Portuguese Super League, with a slightly lower grade.

The champions from various leagues gathered together to form the National Mathematical Olympiad training team.

"Speaking of which, the training method of the national training team is quite abnormal. This is 15 days of surprise training. If it is extended to one month, I don't think anyone can leave the training camp alive." Shen Qi really dislikes the training mode of the national team. , but in order to fight for an IMO quota, he chose to endure.

"I hope everything will end soon." Yu Lei was a little tired.

"Me too." Zhou Yu'an felt sorry for each other.

"It's all here, we still have to persevere until the end." Shen Qi took a mouthful of white rice.

After a short lunch break, the afternoon session was a training session on probability theory.

Then perform daily routine tests in the evening.

The test is the exam. After the daily training session, each team member will do a paper with a full score of 100.

After three consecutive exams, Shen Qi ranked first among all the team members with 297 points.

He finally missed once, and was deducted 3 points in yesterday's test, failing to get a full score.

The next week, two more players left the team.

One is a physical problem, the other is a psychological problem.

There are 17 players remaining.

In the past 10 tests, Shen Qi continued to lead with a total score of 985 points.

Shen Qi found that it became more and more difficult to get full marks, and the difficulty of the test became higher and higher, and the coaches could always find some faults and deduct some points from him.

Finally, the 15-day intensive training was over, and there were only 14 players who persisted till the end.

Among these 14 people, the six people with the highest total test scores were selected for the official list of the Olympiad national team.

Shen Qi's name is on the list.

On July 23, a group of more than ten members of the Chinese Mathematical Olympiad Team flew to the UK by plane.

A new challenge is coming, and Shen Qi is ready.

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