Genius of the Rules-Style System

Twin primes refer to pairs of prime numbers that differ by 2, such as 3 and 5, 5 and 7, 11 and 13, and so on.

The twin prime conjecture was proposed by Hilbert in a report at the International Congress of Mathematicians in 1900. It can be described like this--

There are infinitely many prime numbers p such that p + 2 is prime.

The pair of prime numbers (p, p + 2) is called twin prime numbers.

As soon as this conjecture was proposed, it became one of the world's mathematical problems and one of the classic number theory conjectures.

Over the past hundred years, countless mathematicians have studied the twin prime conjecture and provided many proof ideas. One of them is to weaken the twin prime conjecture. "Find a positive number such that there are infinite pairs of prime numbers." The difference is less than this given positive number." In the twin prime conjecture, this positive number is 2.

A few years ago, mathematicians represented by Daniel Godes put forward a conjecture, saying that "there are infinitely many pairs of prime numbers with an interval less than 16."

This is the Daniel Godes Conjecture.

In the past three days, Zhao Yi was bored in his dormitory, studying the relationship between the two sets of prime solutions and the twin prime numbers in the three-dimensional tremor waveform. He found out why the waveform had more twin prime solutions, thus The conclusion is drawn that 'the waveform diagram has infinite twin prime solutions'.

In the process of reaching this conclusion, he incidentally proved that there are "infinitely many pairs of prime numbers with intervals less than 246", and the Daniel-Geders conjecture is that "there are infinitely many pairs of prime numbers with intervals less than 16."

So Zhao Yi just said that "part of the Daniel-Godes conjecture was proved." He didn't think it was of much significance, because he proved the Daniel-Godes conjecture and was not very famous in the field of number theory research. It was just a proof With only one part revealed, there is still a long way to go before we can prove the twin prime conjecture.

For Zhao Yi, the most important thing is to study the relationship between the two sets of prime solutions of the three-dimensional tremor waveform diagram and the twin prime numbers.

This is fundamental.

In any case, the research was completed and he felt relaxed all over, but the paper was not yet finished.

In fact, Zhao Yi could finish the paper in one go, but he felt that the first day of class was also important.

On the first official day of college, it felt a little weird to skip class.

In the morning, it’s advanced mathematics.

Zhao Yi did not have advanced mathematics on his course schedule, but he still felt that he should take classes. It was very strange that there were no mathematics classes in college.

After breakfast, he glanced at the class schedule recorded on his mobile phone and found Classroom 302 of the School of Science.

It's a good time to come.

Less than five minutes into class, Zhao Yi was frustrated that breakfast had wasted time. He looked at the door, thought about it, and went around in a circle. When the teacher turned his head, he quietly walked in through the back door.

His steps were so light that few classmates noticed.

Enter the classroom and take your seat.

last row.

Classes 1 and 2 of Biological Science have a math class together. There are a hundred people in the two classes, which is not too crowded in a large classroom. There are many students in the front rows, but there are also some students sitting in the back rows.

Zhao Yi happened to sit next to Fan Lei, and next to him was Li Renzhe. Three people in the same dormitory sat together, and there were only three of them in the last row.

"Zhao Yi, here you go!"

"You're still here to take advanced mathematics classes!"

Fan Lei and Li Renzhe waved to say hello to Zhao Yi.

Fan Lei looked around and said, "They are all good students. We are the only two brothers sitting at the back."

"Isn't this just one more class for me?" Zhao Yi said with a smile, "This is the first class. If there are more classes to come, the rest will be crowded soon."

"Hahaha, you seem to be very experienced."

"necessary!"

The two joked for a while and then began to listen carefully.

Even if you are sitting at the end, it does not mean that you are not listening carefully. After all, it is the first class after going to college, and everyone in the classroom is very serious.

Hu Zhibin was standing on the podium. He didn't notice Zhao Yi who walked in. He turned his head and continued the class.

The first lesson certainly doesn't go straight into the content, he is emphasizing the importance of mathematics.

"Mathematics is a very rigorous subject and the basis for all subjects."

"Whether it is science or engineering, mathematics must be learned, and it must be learned in depth."

"The mathematics requirements in your biology department are lower. For example, in the School of Information, there are four or five mathematics subjects alone, not to mention the mathematics department."

"But you can't think that mathematics is useless to the biology department. Mathematics is the foundation of all subjects. As long as you learn mathematics well, other subjects will not be able to trouble you at least in terms of calculation and analysis."

"On the other hand, if you are not good at mathematics, you will find that whether it is biology or chemistry, when it comes to calculation and analysis, it will be completely impossible, because the biochemistry teacher will not teach you how to solve calculus. I won’t teach you how to solve functional expressions…”

Hu Zhibin began a long speech. He talked about the importance of mathematics to advanced mathematics, and then talked about the science of Yanhua University, giving a real-life example, "A few days ago, I saw Professor Zhou Li from the School of Science, and As you all know, Zhao Yi, your biological science major, is a student in your first class, and even I can only marvel at his achievements in mathematics."

"What are the two people arguing about? It is the relationship between geometric curve functions and numbers. Professor Zhou Li believes that numbers can be expressed by solving geometric curve functions, while Zhao Yi believes that numbers are numbers."

"The two of them are quarreling over this. You may not understand. What's the point of arguing about numbers? 1, 2, 3, 4, 5, 6. Can you still tell someone who is ugly?"

"Actually, this is a dispute between mathematics and science, that is, the principles of mathematics and the understanding of mathematics. When studying art, everyone's understanding is different."

"I support Professor Zhou Li's view. The analysis of complex mathematics can indeed explain the simplest numbers. I even argued with Zhao Yi for a few words at that time."

"Of course, this doesn't involve the question of right or wrong."

"Concept, understanding, there is no right or wrong."

"..."

Zhao Yi had been listening in the last row, and he listened with interest at first. He felt that what Hu Zhibin said made sense and he explained the concept very clearly.

Then it felt wrong.

"There was someone else that day? It seemed like it was the first time I saw him, right?"

"There were a few teachers in the office at that time, but none of them spoke..."

"This Teacher Hu, have you ever argued with me?"

In fact, Hu Zhibin just said that casually. He knew that there was a gap between himself and Zhou Li, and there was an even greater gap between him and Zhao Yi.

But he still wanted to put himself on the same level as Zhou Li and Zhao Yi. Debating math problems with them seemed to be on the same level.

He just wants to improve himself and let students know that their mathematics teachers are no worse than top professors or students with major research achievements.

Whether or not the students understood this meaning did not matter much.

Hu Zhibin felt very comfortable after saying that.

Next comes the formal content, "What we are going to talk about in this class is functions and limits. There is a lot of content in it that has already been taught in high school..."

Hu Zhibin still has a lot of teaching experience. He lectured for more than forty minutes in one breath, only letting the students take a five-minute break, and then continued to teach the students a few classic questions based on the knowledge he just taught.

After talking about two questions, Hu Zhibin wanted to find students to answer questions.

A question appeared on the projection screen. He asked everyone to think about it for a moment, then raised their heads and glanced at it.

Suddenly.

In the last row, the sleeping figure came into view.

Hu Zhibin's short-sightedness was a bit severe. He couldn't see clearly who the classmate was, but he fell asleep on his stomach in the first class. It was really embarrassing, so he immediately shouted, "It's you!"

"The one in the middle of the last row, who is lying on his stomach, please call the classmate next to him for help."

Fan Lei was also a little lethargic, but when he heard Hu Zhibin's words, he immediately became energetic. There was even some gloating on his face, and he didn't know whether it was for Zhao Yi or Hu Zhibin.

"Zhao Yi, wake up!"

"Wake up!"

"The teacher is calling you!" Fan Lei pushed hard.

Zhao Yi was sleeping soundly.

In fact, he didn't plan to sleep in the first class, but Hu Zhibin gave a long lecture for a long time, and when the lecture started, the content was only about functions and limits.

Of course none of this made sense to him.

Zhao Yi had been doing research for three days in a row. He felt very tired all over. Suddenly he remembered that he hadn't used "rest coins" for a long time, so he immediately lay down on the table and fell asleep.

It’s really not easy!

It’s been months!

Finally, he was able to spend his "rest coins" seriously. He even dreamed of falling asleep, and the system kept reminding him in his ears, "Study coins + 1, study coins + 1, study coins + 1..."

"Zhao Yi, don't sleep, the teacher is calling you!"

Zhao Yi was pushed awake in a daze. He raised his head and found that the whole class was looking over and stood up in confusion.

"You slept very soundly. You just had your first class and you go to bed. There are still four years of college."

Hu Zhibin criticized vigorously, and then asked, "Let's take a look at this question. Do you have any ideas?"

Of course, he didn't think Zhao Yi had any ideas. He just wanted to make things difficult for his sleeping classmates, which was equivalent to giving him a small lesson and maintaining his dignity as a teacher.

This sentence caused a roar of laughter.

Hu Zhibin felt weird hearing the laughter. It was normal to have laughter, but why was the tone so wrong?

He didn't care either.

Zhao Yi finally understood. He looked at the question on the projection screen, thought about it for about ten seconds, and then said tentatively, "Two out of seven?"

"Teacher, the result is two out of seven."

Hu Zhibin frowned upon hearing this, "I didn't ask you to tell me the answer..." Then he asked strangely, "How do you know the answer?"

"oh oh."

Zhao Yi understood, "I also want to talk about the process, that is..."

"First divide the numerator and denominator by one divided by the cube of x, because when x approaches infinity, the limits of the numerator and denominator are both infinite."

“The disadvantage after removing the numerator and denominator is two plus three divided by

Zhao Yi explained the entire process in one breath.

The whole class was stunned.

No one could follow the train of thought, including Hu Zhibin. Needless to say, he spoke out the detailed formulas in one breath. He wanted to list the formulas in his mind while listening. It would definitely require a very good person. Brain thinking.

Most people can't reach this level.

Hu Zhibin only remembered the first and most important sentence, "First divide the numerator and denominator by one part x cubed." He lowered his head and clicked the mouse, looked at the detailed process of the answer, and found that it was the same as what he remembered The same, it is brought in using the cube of x.

What Zhao Yi just said is one-third of x cubed.

This is the difference.

Hu Zhibin calculated according to what Zhao Yi said, and found that there was one missing step, and his eyes widened in surprise.

Although the question is not difficult, it is absolutely remarkable that it can be solved so quickly and even easier than the answer.

"This student is a genius, why did he sign up for the biology department?"

"Did he get transferred to the biology department because he didn't score enough in the test?"

"And why is his tone so familiar? It seems like I've heard it somewhere before?"

Hu Zhibin raised his head with doubts and asked, "This classmate, what is your name?"

"Zhao Yi."

"What?"

"Zhao Yi."

The other students in the class couldn't help laughing and said, "Teacher Hu, he is Zhao Yi. You said Zhao Yi at the beginning."

"Yes, you should know Zhao Yi!"

"Didn't you argue with him..."

"..."

Hu Zhibin was a little confused. He rushed over in a few quick steps. When he got closer, he saw that it was really Zhao Yi. His face turned red with embarrassment and he quickly asked, "Zhao Yi, when did you come?"

"Sorry, I think I'm five minutes late."

"five minutes……"

Hu Zhibin recalled it carefully and was very sure that what he said about the debate was five minutes later.

so……

Did Zhao Yi hear it?

Hu Zhibin suddenly felt embarrassed. He didn't know what to do for a moment, so he quickly asked Zhao Yidao to the podium, "Zhao Yi, let you speak. You know more than me. As a winner of international awards, come and tell everyone." The lectures will definitely benefit the students a lot!”

"I won't, I won't."

"I really can't!"

Zhao Yi quickly excused himself. He was just here to listen to the class, but he didn't want to take the teacher's job.

It's not enough for the two of them to keep pushing away.

Hu Zhibin returned to the podium with tears in his eyes and continued to explain the next math problem. He hoped that he could forget Zhao Yi, but he felt awkward after standing on the podium.

There is a big math guy sitting in the audience!

He is a big man who has won international awards. It is said that he is likely to win the next Fields. Even now, he is one of the top mathematicians in the world.

How can I still go to class?

Hu Zhibin was a little nostalgic because he didn't know that Zhao Yi was in the audience and could give lectures with a normal attitude, and now he hoped that Zhao Yi would continue to sleep.

However, Zhao Yi couldn't sleep anymore.

Zhao Yi felt that continuing to sleep was disrespectful to the teacher. Even if the exercises were very simple, he should at least pretend to listen carefully.

Then Hu Zhibin became even more depressed.

Fortunately, there was not much time until the end of get out of class. Hu Zhibin insisted on explaining the two exercises, shouted for a long time, and quickly announced that the get out of class was over.

"Zhao Yi, don't leave yet."

Seeing that Zhao Yi was about to leave with other students, Hu Zhibin quickly stopped him. He also pushed away other students who wanted to ask questions and told them that they would explain the questions in the exercise class.

When there were only two people left in the classroom, Hu Zhibin looked at Zhao Yi with complicated eyes, and had to say, "Zhao Yi, um, I remember that there is no mathematics in your curriculum, right? You don't have to come to class in the future. At the end of the semester, I will give you full marks directly."

Zhao Yi quickly shook his head and said sincerely, "Teacher Hu, it doesn't matter how many points you get in passing the course. I think the important thing is the learning process. Your course is helpful to me. I can learn things in your class. I'm sorry for affecting your class, but I still want to continue class."

"But……"

Hu Zhibin didn't know whether what Zhao Yi said was true or not, but when he thought that there would be a big math guy sitting below him in class in the future, he felt something was wrong.

Zhao Yi continued, "Teacher Hu, just treat me as an ordinary student. I am also a freshman. No need to treat me differently. I will definitely listen carefully in class from now on."

Zhao Yi's face was so sincere that Hu Zhibin didn't know how to refuse. He opened his mouth for a long time and wanted to speak several times, but no words came out.

In the end he could only agree with tears.

After Zhao Yi left, Hu Zhibin packed his things and thought to comfort himself, "He said that my class will be helpful to him..."

"Yes it's helpful."

"helpful."

"If I can help a future Fields Medalist, my embarrassment is nothing."

That being said, it’s still very depressing!