Sagawa Yan woke up again when Teacher Ishida called him。

“get out of class is over." Ishida looked at this student who had already surpassed him, "Come to my office for a chat?”

“Okay." Sagawa Yan stretched and stood up.

After sleeping, Sagawa Yan felt much better.

The two walked to the office together.

From time to time, classmates passing by said hello to Ishida, "Hello, teacher. "

Ishida nodded in greeting.。

“Teacher, you are so popular among the students." Seeing this, Sagawa Yan teased Ishida.

Unexpectedly, Ishida shook his head, "Do you think they are saying hello to me? In fact, I'm looking at you, the top student. If you don't believe me, look at the next group of people. "

Hearing this, Sagawa Yan paid attention. The next group was two girls. When they saw the combination of Sagawa Yan and Ishida, they were stunned for a moment. Then they came over to say hello to Ishida, but they could still see them peeking

. Sagawa Yan was on the side.

Even after he walked over, he could still hear their conversation, "Did you see that? That's Senior Sagawa Yan, who proposed the Sagawa Conjecture."。”

“I saw it. He is indeed as handsome as the rumors say.。”

“You heard it, they just look at your appearance," Teacher Ishida said.

This is really...marvelous!

“In fact, the main reason is that the teacher sets me off well. Walking next to the teacher, I feel handsome again.。”

“...Are you in a good mood today?”

“So obvious? "

Sagawayan didn't expect that Ishida would see it so soon.。

“You don't usually make fun of my appearance. He

entered Mr. Ishida’s office and said, “Sit down and let’s talk about your recent research. Maybe the teacher can help you.”

Sagawa said: "Haha. " Ishida

's pride was angered, "Come on, come on, I won't be happy if you don't say it today. I am a top student who graduated from the School of Mathematics of Toto University. How can I not understand anything?" "

Sagawa Yan sighed, why should the weak fight?

I just used Ishida's office to sort out last night's research ideas.

He took a piece of white paper and a pen and said, "Teacher, I told you that I was studying the Kakutani conjecture. Bar. "

Hearing the name of Kakutani's conjecture, Ishida's confidence decreased a little. This is a world-class conjecture that many famous mathematicians have challenged since the 1970s but have not succeeded.。

“In my research, I found that the solution of the analytic function in the unit disk {z:-z;lt;1} is in the form h(z)=h0+h1z/(1/z). If I can prove this, I This will take the proof of Kakutani’s conjecture to the next step. "

Sagawa Yan's pen quickly wrote an equation on the white paper.

Any integer function h(z) makes g(z)=z/2+(1/cosz)(z+1/2)/2+ 1/(1/2cosz)sinz+h(z)sin2z satisfies: N/(g)。

“This formula means...”

“Ishida-sensei, what's wrong with you, teacher? "

Sagawa Yan was surprised to see that Ishida's face turned white and red, red and black, black and white again, continuously changing in a short period of time.。

“It’s nothing, just keep talking, keep talking. "

Ishida sadly found that he couldn't understand the meaning of this expression even when someone explained it.。

“How can it be repaired? Is this the difference between me and top mathematicians? "

In Ishida's eyes, Sagawa Yan, who said that he didn't understand the problem, was already a top mathematician.

This made him happy and sad, "As an ordinary person, I may only be able to leave the beauty of mathematics after meeting a genius. Closer. "

Mathematics is fair. The problems everyone faces are all at a glance. Mathematics is unfair. Only geniuses can solve problems one by one, get close to the mysteries of mathematics, and appreciate the beauty of it. Yan Sagawa no longer cares about

Ishida , he is using the explanation to organize his thoughts。

“Just use the flow function to invert this equation above. "

As he speaks, his pen on the paper will write down a long paragraph.

And Ishida's confusion will also increase by a long paragraph at the same time.。

“What are you talking about? I can't keep up, Sagawa-kun." Ishida admitted defeat, but he found that Sagawa-kun seemed to have lost sight of him and was just writing down lines on the paper.。

“Teacher, I may not be able to attend other classes. Please lend it to me in the office. ”

2 hours later

“Finally finished! "

Sagawayan himself couldn't believe that this time it went so smoothly, and he directly completed the first step of proving the Kakutani conjecture.

Ishida, who seemed to be listening to the Bible in class, woke up with a start, "Is it over? Have you finally proved it?”

“I succeeded in taking the Kakutani conjecture a big step forward based on the two mathematicians L. Berg and G. Meinardus in 1994! "

Ishida: I'd better continue sleeping. Anyway, I still don't understand.

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