Chapter 14 Lagrange's Mean Value Theorem



Police station, communications room.

The policeman and Song Yu looked at each other.

The policeman held a pen and said with a half-smile: "Why is it you again?"

Song Yu answered slowly: "Maybe it's because I have a strong sense of responsibility and I like to call the police when I encounter unfair things."

The policeman laughed: "No, what I want to ask is why you are always the one being beaten up."

Song Yu: “…”

Xie Sui laughed beside him.

The gangsters were actually more seriously injured than them, but the red-haired group already had records in the police station and had countless criminal records. The police considered it their act of self-defense and simply made a note of it before letting them go. Originally, they were going to contact the parents, but Song Yu took the initiative to talk about Xie Sui's family situation, and his words were emotional and reasonable, so this step was cancelled.

It was the same police station and the same small clinic.

There were only a few people in the clinic, and the lights were on.

The male doctor in the clinic still has an impression of them.

Doctor: "Last time it was a leg injury, this time it was a hand injury, and you even used a real knife in a fight. Young man, you are pretty wild."

Xie Sui sat on the chair, his eyes slightly curved, and smiled modestly, "Not bad."

The doctor was so angry that he almost broke his pen as he scratched the paper. "I told you you were wild, and you're so proud of yourself? You're showing off outside, but have you ever thought about how worried your family is? You should have studied hard at such a young age, but you insisted on hanging out with those idle young people. If something happens, your parents will be the ones who are sad."

Song Yu held his mint candy in his mouth and spoke for Xie Sui: "Uncle, you misunderstood. You can't just look at the surface."

The doctor rolled his eyes at him and said, "I haven't scolded you yet. You are his friend, right? So you just stood there and watched him fight? And didn't you try to persuade him?"

Song Yu choked, a little embarrassed, and scratched his head: "We are not talking about the same thing."

The doctor put the medicine into the bag and sneered: "Okay. If we don't look at the surface, are you going to fight the wounds left by the aliens? Do the aliens also use such down-to-earth cold weapons?"

Song Yu: “…”

The TV hanging on the wall was playing Ultraman Tiga. The doctor's two-year-old son clapped his hands and turned around after hearing this. His clear eyes curved and he laughed in a baby voice, "Wai Xingyin."

Xie Sui paid the money and took the medicine, "Thank you."

The doctor was very disappointed: "When my son grows up, if he keeps hurting himself like you, I will break his legs first."

Song Yu chewed some candy and yelled, "I told you not to judge by appearances. Uncle, what's wrong with you? My friend was injured while fighting violence and protecting the good. He just fought one against a hundred and bravely fought against a street bully. He protected the personal safety and property safety of all the primary, middle and high school students in Lianyun Street. These injuries are the scars of a hero."

doctor:"……"

The child sitting on the chair clapped his hands and drooled: "Hero."

Song Yu was amused. "Hey, kid, you are so smart. Say it again."

The child who was praised smiled very sweetly and said in a baby voice: "Brother, you are a hero."

Seeing that he was still teaching his children bad things, the doctor was so angry that he chased them away with a feather duster: "Go, go, go, you dare to fight street bullies, I think you are the biggest bully in Lianyun Street."

“Hahahaha.”

Song Yu, who had been promoted to Street Fighter, couldn't help laughing and pulled Xie Sui out.

A few moths gathered on a street lamp outside the clinic, and on the quiet summer night, the humming of small insects could be heard from the bushes.

It was already very late. Song Yu stood under the street light and called Uncle Ma to ask him to pick him up at the old place.

After hanging up the phone, Song Yu turned to Xie Sui and said, "I won't come here often in the future. See you when school starts in the summer vacation."

That gang of thugs has a criminal record, so they will probably have to stay in police station for several days this time. Xie Sui should be safe in July or August.

Solved the most dangerous thing he would encounter during his summer vacation.

Song Yu felt that there was no need to run here anymore.

Xie Sui still smelled the mint scent in his nostrils.

I couldn't help but wonder how much Song Yu liked mint.

He retracted his fingers and smiled, "Well, see you at the beginning of school."

Song Yu stared at him, thinking of the fierce young man who fought in the alley, and was speechless for a moment.

He felt that for a moment he didn't understand Xie Sui again, but it seemed that he had never truly understood her.

We got on the bus and it left the remote residential area and headed towards the bustling city center.

The neon lights shone brightly, illuminating Song Yu's thoughtful face.

Uncle Ma asked, "Master, are you here to look for that friend of yours that you hit it off with so well?"

Song Yu came back to his senses: "Yes."

Uncle Ma said, "You come here every day, and the old lady is getting suspicious. I think if you come here a few more times, she will want to meet your classmate."

Song Yu laughed: "No, no."

Actually, there is nothing wrong with letting Grandma Meng meet Xie Sui.

But he promised 008 that he could not appear next to Xie Sui as the third young master of the Song family. He also planned to make up an identity as a "poor distant relative of the Meng family" in the future, which would be easily exposed when he met Grandma Meng.

Song Yu had very few people adding him to his QQ account. He was lying on the bed playing with his phone, looking at the dark avatar of Ju Haojun. He felt an urge to post something.

But today I racked my brains to think of a bad review and ran around the street late at night. I'm exhausted both mentally and physically.

I don't know when I fell asleep.

When I woke up the next day, it was already nine o'clock in the morning.

Going downstairs for breakfast, Song Yu was bombarded by Ma Xiaoding.

[Sadako never forgets the well digger: Hahahahahahahahahahahahaha]

[Sadako never forgets the well digger: Brother Yu, the one who gave crazy bad reviews, are you you? I deliberately went to his place for dinner today, and saw that Zhu Zhixing’s mother’s face was livid. I guess she was mad to death. 】

[Sadako never forgets the well digger: Hahahahaha, you are so talented. I also called my little brothers to follow your footsteps and brushed several posts. I’m so angry at this vicious woman! 】

Song Yu was too lazy to care about Zhu Zhixing. Thinking of Grandma Meng's expectant eyes and the stack of papers on the table, she suddenly got a headache.

He drank the milk sip by sip and sent a message to Ma Xiaoding.

[Your husband, Brother Yu: How are your grades? 】

[Sadako never forgets the well digger:? ? ? 】

[Sadako never forgets the well digger: Why are you asking about this? It’s okay... right? 】

Being able to get into Jingcheng No. 1 Middle School, your grades are not bad.

Song Yu curled his lips and started typing.

[Your husband, Brother Yu: Having good grades in junior high school does not necessarily mean good grades in high school. Don’t think you can relax during the summer vacation after the junior high school entrance exam. Others are frantically signing up for cram schools. The competition pressure in No. 1 Middle School is very high. There are cases of people jumping off buildings every year. It is luck that the school has not been closed down by the government. We can’t lose at the starting line in the first year of high school. 】

Ma Xiaoding was stunned by his remarks which were similar to his father's.

[Sadako never forgets the well digger: ...Brother Yu, what do you want to say? 】

Song Yu had returned to the room, pulled out a chair, sat in front of the table, and looked at the pile of papers.

[Your husband, Brother Yu: Come here, I will share some knowledge with you. Good brothers, let’s do the test paper together. 】

[Sadako never forgets the well digger: ...]

Can we just stop being good brothers?

After giving half of the test paper to Ma Xiaoding, Song Yu felt much more relieved.

Grandma Meng gave him a lot of information. During the transition period from junior high school to high school, most of the information was about consolidating and reviewing what he had learned from junior high school, and then gradually infiltrating the high school knowledge points. There were even original college entrance examination questions, just to give him a rough idea of ​​the difficulty.

Except for the first paper, Song Yu wrote it headlong without any preparation, but he gradually found a way to do it later.

I randomly pulled out a paper from the bottom of the book. It was very difficult and there was no requirement to do it. Song Yu was bored and turned to the last question, and was stunned.

A very classic function problem, e to the power of x and e times x.

He hadn't planned to try the final question yet, but he felt vaguely familiar with it, and even a very vague concept appeared in his mind. I bit the pen and thought for a long time, and finally remembered it.

Isn’t this a typical example of Lagrange’s mean value theorem?

He still remembers this problem very clearly, probably because the name of the theorem his high school teacher mentioned when expanding the solution was so weird.

The theorems given on Baidu are very confusing if not combined with specific examples. Song Yu just wanted to finish her first conversation with Xie Sui.

So I took a photo of the question and sent him a message.

For the shame of A66 for the first blood, he bit the pen and thought about it.

Pretending to be profound.

[Do you know what Lagrange's mean value theorem is? 】

Xie Sui was leaning against the bed, typing away on the computer, hacking into Linshui's intranet and pulling up surveillance records.

After finishing everything, I reached for the water cup next to me and caught a glimpse of the message on my phone.

[Song Yu: Do you know what Lagrange’s mean value theorem is? 】

Xie Sui: “…”

He should be thankful he didn't drink the water.

Xie Sui had always been an outstanding student, but he was also aloof and cold, and had never come into contact with any normal classmates.

Therefore, it is impossible to understand the thought process of Song Yu, a poor student who relies on perseverance to solve problems.

——You even rely on numbers to calculate permutations and combinations, why do you ask Lagrange?

Of course, Xie Sui did not say this question which hurt his self-esteem. Because he could see that Song Yu seemed to be very enthusiastic about learning, and he didn't want to discourage him.

Xie Sui took out a pen and a piece of paper, and taking into account Song Yu's knowledge reserves, he wrote out the standard solution to the problem in detail and then took a photo and sent it over.

【Xie Sui: [Picture]】

【Xie Sui: There’s no need for that.】 】

Song Yu waited for a long time, and finally got these words, along with a photo with clear ideas and beautiful handwriting.

Even simpler than the answer.

Awesome, worthy of being the protagonist, a child of destiny.

But if Song Yu got stuck on a question, he would persevere and keep asking questions.

[Song Yu: How do you solve it with that? 】

I also posted a few emoticons.

[[Scratching head question mark]]

[ball ball you]

Xie Sui paused with his finger on the little scratching bean, as if he saw Song Yu's troubled expression on the other side of the phone. He looked a little absent-minded, and then curled his thin lips.

【Xie Sui: Do you want to know so much? 】

【Song Yu: Yes. 】

【Xie Sui: Just cross out the long paragraph from the third line to the fifth line and change it to "From Lagrange's mean value theorem, we can see that". 】

"???"

After Song Yu did as he said, he let out the ultimate sigh of a poor student.

[Song Yu: There exists a number in the interval that makes them equal. 】

Xie Sui didn't even want to tell him that it was a theorem. After thinking about it, his eyelashes drooped and his dark pupils showed a slightly evil smile.

【Xie Sui: Didn’t I give you a range? You can substitute them one by one and you will always find the number.]

Song Yu: “…”

Song Yu: “…”

Your mother's range is infinite!

Why did he always feel that Xie Sui was laughing at him?

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