Black Tech Scholar

"Actually, what we are teaching today has nothing to do with any conjectures." Teacher Chen waited for a long time before finishing speaking.Liao Yuanbai and Liu Wei almost fell off the stools, and they quarreled for a long time, which had nothing to do with it. No matter how Teacher Chen looked at it, he felt that he was holding back.

Liao Yuanbai thought so, and Liu Wei also had mixed feelings.The first point is that there is no need to do difficult math problems, but it seems to lose the challenge.The second point is that he doesn't know where Liao Yuanbai's bottom line is.It seems that Liao Yuanbai finished reading the basics of geometry easily, but he still struggled to learn the first few dozen pages.Teacher Chen looked at the two with a searching look and asked, "How many pages have you read?"

"I only read about page No. 40, and the rest is not very clear, it's a bit laborious." Liu Wei answered quickly, and what he said was true, he almost couldn't understand the latter part.Speaking of geometry problems, the geometry problems in high school are not difficult for him.But this foundation of geometry completely overturned his views on mathematics. It looked so abstruse that he couldn't even understand the formulas.

"Oh." Teacher Chen nodded. He was not surprised that Liu Wei couldn't understand this basic geometry book.After all, he still knows Liu Wei's achievements more or less.Although he has not been taught before, it can be seen from the examination papers that this student still has some deficiencies.

What he was really uncertain about was Liao Yuanbai. Liao Yuanbai's examination paper was so beautiful.And it is impossible to print all the questions in the examination paper, so there will naturally be some omissions.He wasn't afraid that Liao Yuanbai would cheat, or rely on his cleverness to get full marks in the exam.Because he knew that this was simply impossible.What he was afraid of was that all the test questions were inevitably in the field that Liao Yuanbai was good at.

So here comes the question, what if Liao Yuanbai still has areas that he is not good at?It might be possible if he passed the international competition exam.

During the national competition, the questions are generally algebra and function questions.In this area, Mr. Chen believes that Liao Yuanbai is easy to catch.The reason why he gave the two of them a book on the basis of geometry was because he wanted to test their geometry skills.So far, Liao Yuanbai is not bad.But he is not sure, Liao Yuanbai's geometry is really good at playing.

Standing on the podium, Teacher Chen shifted his gaze to Liao Yuanbai and coughed softly, "How about you Liao Yuanbai, how many pages have you learned? Is there anything you don't understand? Of course, I know your knowledge is relatively solid. After all, he is a student who knows about Mersenne prime numbers, by the way...Speaking of conjectures, do you know why I didn’t tell you about mathematical conjectures in class today?” Teacher Chen stared intently at these two gifted students.

Although these two students both chose physics as their major, it is about mathematics.Teacher Chen also hopes that they will be outstanding. After all, learning mathematics well will benefit their future research on physics.

The two students shook their heads. They didn't quite understand why Teacher Chen didn't tell them about the math conjecture.According to Liao Yuanbai's reasoning, or it can be said to be Liao Yuanbai's logic, isn't the purpose of letting them see the basics of geometry just to tell them about mathematical conjectures?Liao Yuanbai and Liu Wei are not boasting about algebra and functions, they should be very familiar with it.

"Mathematical conjectures are like pearls one by one. And these pearls are placed in the pavilions, and there are no ladders in these pavilions." When Teacher Chen said this, he glanced at the two students and found that they were listening very well. Carefully, he nodded, and he continued, "And before you have learned the basics of mathematics well, you will not have the ability to turn your knowledge into stairs. In other words, I have taught you mathematics now." It’s useless to guess. It’s better to tell you the basics, so that you won’t be embarrassed when you go out in the future.” When talking about this, Teacher Chen looked at the two seriously, “No matter where you study in the future, you will still be in Jinghua I have been trained in the university. If you go out and ask three questions, it will be embarrassing for Jinghua University."

"Mr. Chen, don't worry, I won't embarrass you too much." Liu Wei took Mr. Chen's words, while Liao Yuanbai was thinking about Mr. Chen's words.Indeed, although he thought of the Mersenne prime number, it was impossible for him to solve it.And he didn't want to choose pure mathematics research. For Liao Yuanbai, mathematics should be proficient, but after all, it is just a tool for studying physics.

Teacher Chen saw Liao Yuanbai's suddenly bright face and nodded slightly. He knew that such students were the best to take care of.Because they know exactly what they want and what they still lack.It's not like other students who don't know what they want, and don't know what to study for.Such students are actually the most troublesome.Because you need to pay attention all the time, and you can't let them go astray.For example, Liu Wei is like this. Although he is talented, he is only learning for learning now.

Regardless of his good grades, if he suffers some blows in the future, I'm afraid he won't have much passion for studying.Don't talk about Jinghua University, just talk about S University, which is a first-class university.Most of the students in the school used to be geniuses.In such an atmosphere, it is very dangerous to maintain the previous sense of superiority.

And Liu Wei is the kind of proud person. If he encounters something that he is worse than others, he will be easily hit.The reason why he has been suppressed by Liao Yuanbai without being hit is not because of Liu Wei's broad-mindedness, but because of his position in Liu Wei's heart.Liao Yuanbai just wants to be better than himself, and he is the one I want to try my best to catch up with.But others... not necessarily.

Liao Yuanbai was relatively young. When Liu Wei saw Liao Yuanbai, he would think that Liao Yuanbai was a person who was much more talented than himself.But as everyone knows, no matter how much talent Liao Yuanbai has, if he doesn't study hard, no matter how talented he is, it will be of no use.

Teacher Chen wanted to tell Liu Wei about these exchanges, but Liu Wei didn't necessarily like to hear them.After thinking about it, Teacher Chen decided to forget it.

"Okay, don't gossip. Since you have read the whole book, Liao Yuanbai, then stand up and tell me your thoughts." Teacher Chen said while knocking on the podium, "Remember, what I asked you to say is Thoughts, I don’t want you to memorize the entire book. I don’t doubt your ability to memorize this basic geometry book at all, but... what I want to know now is whether you have any thoughts after reading this book ?”

"Okay, Mr. Chen." Liao Yuanbai stood up and took a deep breath. "About this book on the foundation of geometry, we all know that geometry has a strict logical deduction system. And I read the entire book..." said Here, Liao Yuanbai glanced at Mr. Chen, and found that Mr. Chen signaled him to continue talking.

"So, I think geometry is a very useful knowledge in life, both in scientific research and construction." After a long speech, Liao Yuanbai felt a little out of breath, "That's what I feel."

"Very good, Liao Yuanbai sit down." Teacher Chen gave up and let Liao Yuanbai sit down.He cleared his throat and said, "Liao Yuanbai was right just now, geometry is indeed pervasive in all aspects of our lives. But what I want to teach you today is not geometry. Although I have shown you the basics of geometry, that is what I hope You have a basic outline of geometry." Teacher Chen was holding a chalk and was about to write on the blackboard.

He glanced back at the two students, one student was still in a daze, while the other student seemed to have expected something.That face became ugly. Teacher Chen, who was about to write, put down the chalk in his hand and said with a smile, "What's the matter, Liao Yuanbai, why did his face suddenly become so ugly?"

"Geometric topology." These words popped out of Liao Yuanbai's mouth.

Teacher Chen's eyes lit up, he was fiddled with chalk, and his smiling face looked harmless to humans and animals, "It is indeed geometric topology. It seems that student Liao Yuanbai seems to have read a lot of books. He even knows geometric topology." , I actually didn’t plan to speak in depth today, and I also know that even if I speak in depth, you may not be able to understand it. Looking at Liao Yuanbai’s appearance, has he been abused by topology?”

"..." Mr. Chen, can we stop which pot and carry which pot?If he hadn't been abused by topology, would his face be so ugly?This is not abuse/abuse, well, it is simply being hanged and beaten.

Looking at the whole topology, he is very confused.

"The reason why I want to explain geometric topology is that I am afraid that this question will be tested during the exam. This question was tested in the international exam five years ago. At that time, no student could answer it. This is the case both at home and abroad. This year , It was the proposition teacher who gave the paper again, I think he will still ask a question about geometry and topology." Teacher Chen took a pen and began to write on the blackboard.

"Okay, what do you think of this question Liao Yuanbai?" Teacher Chen wrote the question on the blackboard, and Liao Yuanbai found it difficult to read.He couldn't solve this problem at all, and he didn't have much research on topology.And geometric topology is a branch of topology... It seems that I am still a rookie.Liao Yuanbai thought so in his heart, but Teacher Chen didn't care what the two students were thinking, so he tapped on the blackboard.

He looked at the two students and said, "Well, let me talk about the train of thought first, and you two should think about it carefully. Then this blackboard, each of you can take half of the blackboard, whichever step you can count, it is that step. Because time is limited, I I hope you can understand what I am talking about as soon as possible. After all, you not only have to prepare for the International Mathematical Olympiad, but also the physics competition is waiting for you. If there is anything you don’t understand, you can ask me directly after you come down.” Teacher Chen said Writing on the blackboard while explaining.

"The first step...then...the next..." After talking about his thoughts, Mr. Chen put down his chalk, and he said with a smile, "You guys think and discuss for a while, 10 minutes, I will give you 10 minutes. Minutes. After 10 minutes, I will ask you to come on stage and write this blackboard writing in person.”

Liao Yuanbai and Liu Wei looked at each other without speaking.Teacher Chen went on to say, "You are looking at the ideas on the blackboard, and discussing them while reading. I believe you can learn them all, but you just lack some practice."

Looking at the watch on his wrist, Teacher Chen sat down.

Liu Wei consciously moved to Liao Yuanbai's side, and said in a low voice, "God Liao, do you understand? I'm in a fog now, and I find that I seem to have learned a fake math. I can't understand the blackboard at all." What exactly is written on the paper, at this moment, I am confused."

"I'm pretty much the same, not much better than you. Topology is a difficult point, and it's a sub-discipline of topology. It's the first time I've seen this thing, and we both feel about the same. By the way, Weishen, Look at this idea, do you have any ideas?" Liao Yuanbai turned his face to look at Liu Wei, and Liu Wei squinted his eyes and looked at the blackboard for 2 minutes.He just felt that these formulas kept repeating in his mind, and he didn't understand why these formulas were used.

Shaking his head, Liu Wei indicated that he really had nothing to do with this topic.Liao Yuanbai picked up the pen and began to think about it according to Teacher Chen's thinking. While thinking, he used the pen in his hand to calculate on the draft paper.

"No, this step shouldn't be like this." Shaking his head, Liao Yuanbai changed another algorithm.

"Still not right."

"wrong."

"no!"

"not like this."

"..." Liu Wei watched as Liao Yuanbai's face gradually turned pale. He patted Liao Yuanbai's shoulder and shook his head and said, "Forget it, this question is too difficult. You also heard what Teacher Chen said just now, five Years ago, no student at home and abroad could solve this problem."

"No." Liao Yuanbai took a deep breath, "It's still short of the last step, but I always feel that there is something wrong with my algorithm. However, there seems to be no problem. I have calculated to the last step, but I have been questioned about all the steps. It should be It’s right that such a problem won’t arise.” Liao Yuanbai was muttering, and Liu Wei realized that Liao Yuanbai seemed to be thinking about something very preoccupied.

Helpless, he had no choice but to take a pen and start counting.This question made him feel like he couldn't write, and it seemed to be wrong no matter how he calculated it.

This is simply an unsolvable problem, Liu Wei was thinking in his heart.Unexpectedly, Liao Yuanbai raised his head suddenly, his eyes began to light up, "I thought of it, I thought of it...why didn't I think of using this formula to solve this problem just now."

"Oh?" Teacher Chen raised his eyebrows and said with a smile, "Looks like Liao Yuanbai has discovered something. Come, write on the blackboard."

Nodding his head, Liao Yuanbai stepped onto the podium confidently.With chalk in hand, he began to write on the blackboard, muttering while writing, "Yes, that's it, there is nothing wrong. This is the step..." Teacher Chen turned around and watched Liao Yuanbai write on the blackboard. A step of.

It was a little more cumbersome than he imagined, but it was still a method.Teacher Chen nodded with a smile. After the last step was written on the blackboard, sweat was already oozing from Liao Yuanbai's forehead.He gasped and said, "Teacher, do you think this is right?"

"Very correct, you did get the correct answer." Teacher Chen picked up another piece of chalk and said with a smile, "But look at this step, is there something wrong?" Draw out the problematic steps, "According to the routine, you are doing the right thing. But if you do this, you will become very cumbersome, and you will make mistakes if you are not careful. However, if you How about changing it to this?" Teacher Chen wrote another new formula after the steps, "Look, after you come down from this one, it won't be so cumbersome as you wrote on it. You used two blackboards This question was only proved, but if you use this step, you only need half a blackboard later.”

Putting down the pen in his hand, Teacher Chen said earnestly, "I know that both of you are students who like physics very much, but here I just want to emphasize one point. Especially topology, there are many applications to physics. So Learning topology well is tantamount to helping you speed up the pace of researching physics."

"Understood, teacher." Both Liao Yuanbai and Liu Wei nodded, and they naturally kept Teacher Chen's words firmly in their hearts.After all, it is impossible for Mr. Chen to harm them. After solving this problem, Liao Yuanbai has a basic concept of geometric topology.But Liu Wei didn't understand it very well, and he still had a lot of questions to ask Mr. Chen.Liao Yuanbai went back to the hotel first, he had nothing to do, so he called his mother.

After chatting for a while, Liu Wei walked back exhausted.It can be seen that Liu Wei doesn't seem very happy, it seems that today's topic is too difficult, which broke his self-esteem.When he came back, he lay on the bed, and after a long time, he didn't get up until the physics class in the afternoon, and he didn't even eat lunch.

Although Liao Yuanbai brought back lunch for Liu Wei, Liu Wei didn't have much appetite.He found that the more he was with Liao Yuanbai, the more he could find that there was a big gap between himself and Liao Yuanbai.

It is obviously a question that everyone can't understand, but Liao Yuanbai can think it out in a few minutes.But I...thought for a long time and didn't know what to do, it was like the gap between heaven and earth.Fortunately, the physics class in the afternoon is not difficult, it is still the topic of Lagrangian equation yesterday.It's just that this question is a little more difficult than yesterday. Liao Yuanbai solved it quickly, and Liu Wei also got this question right after thinking for a while.

Looking at the two people in front of him, Teacher Ma breathed a sigh of relief.As long as you can solve the problems of classical mechanics correctly, the international physics competition will be considered stable.

In the next ten days, Liao Yuanbai and Liu Wei were brutally murdered by Mr. Chen.Changing ways to embarrass the two of them every day, even Liao Yuanbai is not sure that his math is not bad at all.Teacher Chen is worthy of being a teacher who studies pure mathematics. Every time he asks questions, he is very tricky. He always says that the questions he asks are very simple questions, which are not as difficult as one-ten-thousandth of the international Olympiad.

So every time after Mr. Chen's class, Liao Yuanbai and Liu Wei would complain to each other about Mr. Chen.

Time flies, and we met unexpectedly in August.Liao Yuanbai and the students participating in the international competition flew to the Lighthouse Country to participate in the competition. This international competition is divided into two stages.The first stage is a team competition. Students from each country will automatically form a team, and the winning team in the team competition will participate in the second stage.That is to say, the individual competition. In this stage, each student chooses the best for admission.

The venue of this mathematics competition and physics competition is Mills University, which is a university with a history of more than 100 years, and countless scientific research masters have come out of this school.Internationally, they are well-known.There are even several Nobel Prize winners who are outstanding alumni of Mills University.

Mills University is in a small town in the Beacon Country. When the plane landed in the most prosperous city in the Beacon Country, the city looked very beautiful with its lights on.After all, the Lighthouse Country is the largest country in the world, and the Hua Country is unable to compete in terms of technology and financial resources.Science is the primary productive force.Liao Yuanbai thought so while looking at the night scene of the most prosperous city in the Beacon Country.

The reason why the lighthouse country can develop to where it is today is because of the crystallization of science and the efforts of scientists.Because of the advanced technology, many jobs and choices have been brought about, so there is today's lighthouse country.Liao Yuanbai lowered his head and pondered, without technology, today's Lighthouse Country would not be as developed as it is today.

After getting off the plane, someone drove a car to pick them up.Naturally, they couldn't make it to Mills University tonight.Tomorrow, I have to take the train. There is also a city next to Mills University, but there is no Huaguo in the international flight.Hearing that it was being opened, Liao Yuanbai didn't think much about it.After staying in this city for one night, I was called up by the teacher early the next morning.Before the time difference had been adjusted, Liao Yuanbai got on the train and staggered all the way to Mills University.

The gate of Mills University is considered magnificent. After entering the gate, students approached them.

"Hello, friends from the East, are you here to participate in the International Mathematical Olympiad?" This is a blond and blue-eyed lighthouse native, and his smiling expression made all the students feel relaxed.The teacher leading the team nodded and negotiated, "That's right, I brought the students to participate in the international competition, but not only the Mathematical Olympiad competition, but also the physics competition. Where is Huaguo's accommodation?"

"Oh, so it's a friend from Huaguo." The blond boy seemed quite enthusiastic, "Go straight ahead and turn right. There is a sign there. When you get there, you will know where to go. Where did it go?"

He pointed to the front, and the teacher who led the team nodded. After saying thank you to him, he took the students to find his dormitory.The environment of Mills University is very beautiful, but Liao Yuanbai has no time to enjoy it.There will be a team competition tomorrow, mathematics in the morning and physics in the afternoon.The exams for the two courses started at the same time, and Liao Yuanbai was somewhat overwhelmed.

Huaguo is considered a strong country in mathematics and physics. Every time in this kind of international competition, it will win the first prize or the second prize.Even special prizes that surpass the first prizes are not uncommon, which has put a lot of pressure on the students of this year.

After all, so many previous classes of students had done well in the exams. If they didn't do well in the exams... wouldn't it mean that their current class of students is the worst class the teacher has ever led?People are competitive, even Liao Yuanbai is no exception.Although he felt that with the knowledge of the training camp, the content of the junior high school international competition would not be difficult for him.But not afraid of ten thousand, just in case.

If these questions are really too difficult as Teacher Chen said, I'm afraid...it will be very embarrassing.

Fortunately, international competitions are very humane, that is, according to the language of the country, when the paper is released, the paper will be translated into the language of that country.

When changing the question, because mathematics only needs to look at the answer, it is easier to handle.But physics requires a special translation. After translating the entire paper once, the paper is revised, which increases the difficulty invisibly.Fortunately, although Huaguo's physics is not as good as that of the Lighthouse country, it is still at the forefront of the world.

Looking at the lush trees outside the window, Liu Wei took a deep breath.The air in the small towns of the Lighthouse Country is indeed relatively fresh, and correspondingly, there are many fewer people.

He leaned against the wall, pouted and said, "I really don't want to come to such a place in the future, it doesn't seem very popular."

Liao Yuanbai smiled, "Lighthouse Country is vast and sparsely populated, that's it. Except for Asian countries, almost all of the world will not be crowded." He raised his brows, "How majestic, I don't relax at all."

"I... I'm not nervous." Liu Wei was at a loss for words for a moment, not knowing how to answer Liao Yuanbai.

Walking to Liu Wei's side, Liao Yuanbai patted him on the shoulder, smiled and did not speak.Since you said you weren't nervous, I'll pretend that I didn't see your nervousness.Liao Yuanbai thought this way, "The exam is coming tomorrow, so I can't read books tonight. Rest early to keep your brain clear."

After living with Liu Wei for more than half a month, Liao Yuanbai has figured out Liu Wei's habits.Before the exam, he especially likes to read books.He often reads books all night and does not sleep. He is not the kind of person who is cramming, but he is not very confident in what he has learned.Liao Yuanbai knew that in fact, Liu Wei's achievements could be ranked among the best in the world.It's just that Liu Wei would appear a little inferior under normal circumstances.

"I got it, don't worry." Liu Wei patted Liao Yuanbai's chest, "I'm talking about me every day, just like my mother. Liao Yuanbai, you're younger than me."

"Yeah, younger than you and more sensible than you... I really don't know what use you are for." Liao Yuanbai and Liu Wei made a joke, and sat on the bed and began to think about it.A few days ago, he had a phone call with his mother.Tell his mother that he will go abroad to participate in the competition soon, and he will not go home after participating in the competition.Reported directly at Jinghua University, and then started his college career.

Although the mother was a little reluctant, she still respected Liao Yuanbai's decision.

After thinking about it, Liao Yuanbai followed.When I woke up the next morning, the teacher leading the team was knocking on the door.Opening the door, the teacher leading the team asked rather flusteredly, "You two students, are you okay?"

"Are you okay?" Liao Yuanbai was very puzzled, and looked at the teacher who led the team, "What's the matter, what happened to the teacher?" Seeing the anxious expression of the teacher who led the team, Liao Yuanbai was still worried whether something happened at Mills University What a big deal.Otherwise, how could the leading teacher be so flustered? Unexpectedly, the leading teacher shook his head and said, "Everything is fine at Mills University, it's just that you... the exam is coming soon, I thought you were scared."

Although the leading teacher is also a teacher of Jinghua University, he is from the Department of Foreign Languages ​​and has never been in contact with Liao Yuanbai and Liu Wei. For the two, he is only limited to teachers from the same school who praised them for their good grades.In fact, he didn't know the specific situation.

Fortunately, both the student who opened the door and the students inside looked relaxed.The teacher who led the team breathed a sigh of relief and said, "The exam starts at nine o'clock, and this time it is a team exam until twelve o'clock at noon. I know that you may not be jet-lagged, but you must do your best. After all Our Huaguo has never been ashamed in the previous sessions. If we can't enter the team competition this time, it will be a big embarrassment."

Next to the teacher who led the team, there were all the students participating in the International Mathematical Olympiad.As the only student who participated in both competitions, the teacher who leads the team still attaches great importance to both of them.

When I came to the examination room, people of different skin colors and appearances were chattering.Liao Yuanbai rubbed his eyebrows, although his foreign language is not very good, but he can still understand a little.What I was talking about was some knowledge about mathematics, and I found my place and sat down.Liao Yuanbai leaned on the chair, staring at the sky in a daze.After a while, the invigilator came and handed out the test paper. Liao Yuanbai looked at it.

In fact, it was quite simple. He finished the test paper without any hassle.After handing in the paper, Liao Yuanbai walked out of the examination room.The teacher leading the team was a little dazed. He found that Liao Yuanbai seemed to be the first student to walk out of the examination room.Scratching his head, he went up to meet him and asked, "Student Liao Yuanbai, how are you doing? Why did you come out so soon? Did you not do a good job... or did you finish everything?"

After several questions in succession, the leading teacher didn't even catch his breath.Liao Yuanbai patted the dust on his clothes, and said with a smile, "Teacher, don't worry, I must have finished everything before I come out. And the grades will come out the day after tomorrow, but you will know how I am." He also I know that the teacher leading the team is a little impatient, after all, this is the first time he has led the team out to compete.If the grades are not satisfactory, he must bear part of the blame.That's why his tone was so anxious, but Liao Yuanbai was not in a hurry.After all, he still had some confidence in his own results, and the second person to come out was none other than Liu Wei.

Seeing that the two students came out, the teacher who led the team didn't know what to think. Instead, he breathed a sigh of relief and comforted himself. It seems that the questions in the International Mathematical Olympiad are not difficult, so they came out so soon.

He also knew, whether it was Liao Yuanbai or Liu Wei.They are all students who will go to college in September, for such students.It should be a good thing to come out earlier.After all, the only way to get out of the examination room so quickly is to finish it. After waiting for a while, other students came out one after another.

This year's students are not weak. This is what the math teacher who trained the students said to the teacher who led the team.The meaning of saying this is to let the teacher who leads the team feel at ease, and don't push the students too hard when it's time to relax.

If these students were pushed too hard, they were originally teenagers. If it was too tight, I don't know what would happen.After all, speaking of it, this group of students are still at the age of rebellion.It's just that the grades of their group of students concealed their rebellion, and most of these students were held in the hands of teachers and parents.After all, if you have good academic performance, it doesn't matter if you have some bad habits.

But this will look very abrupt outside, especially when abroad.This group of children were all half-grown, and if something unexpected happened, they would have no way to explain it to their parents.Although the teacher who led the team was very impatient, he still paid attention to what he said.

"Students, it's the physics exam in the afternoon. I wish you all a good grade in the exam and you can enter the final." Holding a drink cup, the teacher who led the team raised his hand, and the students also started to play.

After lunch, I took a short rest.The physics competition in the afternoon also started, and the physics competition used to have hands-on ability.But in recent years, hands-on projects have been canceled for some reasons.After all, they are all children. If one accidentally hurts himself or others, it is not good.

The topics of the physics competition were not as expected by Mr. Ma, and there were indeed classical mechanics problems.It is really necessary to use the Lagrangian equation to solve it, and Liao Yuanbai naturally wrote it out with ease.Even Liu Wei quickly worked out the questions for the physics competition. When the two walked out of the examination room together, they were still discussing, "This physics competition seems to be not as difficult as our national competition, except that the last additional question is Mechanics questions, and other questions are quite simple."

Liao Yuanbai naturally agreed with Liu Wei's statement, but he also put forward his own thoughts, "Wei Shen, tell me, could this be a trap for the author of the question. Let us think that the international competition is easy and relax our vigilance. Then in the final When I hold back a big move, I always have a bad feeling."

Liu Wei patted Liao Yuanbai's shoulder, and said with a smile, "It shouldn't be so cruel, anyway, let's review first, anyway, the day after tomorrow we will take the Mathematical Olympiad exam."

"That's right, it's useless to think so much, why don't you review it yourself first." Liao Yuanbai still agrees with Liu Wei's idea. In his opinion, no matter what he thinks now, it will not help the final exam.It's better to read a book, maybe there are some unexpected gains.

After returning to the dormitory, Liao Yuanbai opened the thick topology and read it.Although I know that even if it is an international competition, the probability of taking topology is not too high.After more than half a month of training, Liao Yuanbai still made some progress.

For example, the topology book in his hand, at least he can still understand it.

But it might be difficult for him to do topology topics.After all, it is one thing for him to understand the knowledge of topology, but another thing to be able to do it.

Liu Wei was reading a geometry book next to him, and asked without a word, "God Liao, would you like to guess what questions will be asked in the final exam papers. I bet fifty cents that there should be geometry." The question." After speaking, Liu Wei's gaze shifted from the book to Liao Yuanbai.

After thinking for a while, Liao Yuanbai felt that there were some differences between the International Mathematical Olympiad and the National Mathematical Olympiad.For example, to test the thinking ability of students, and to test the imagination of students.By the way, imagination.Liao Yuanbai's face was blank for a moment, and he said heavily as if he remembered something, "I suspect... Maybe there will be a guessing question in this final exam."

"Conjecture question?" It's not the first time for Liu Wei to come into contact with mathematical conjecture, of course he knows that the conjecture question Liao Yuanbai is talking about is mathematical conjecture.This is something that countless mathematics majors are studying.Is it too much for them junior high school students...Liu Wei shook his head and said, "It's not that the teacher who gave the question looked down on us. After all, mathematical conjecture is the direction that many mathematicians who study this field are working on. Do it for us middle school students. , isn't it a little too hasty?"

"No." Liao Yuanbai shook his head, took a breath and said in a deep voice, "Have you forgotten what the practice of the International Mathematical Olympiad has always been? To test the imagination of students, guessing questions is not for us to give The standard answer may be solved. Rather... we need to use our own imagination to solve this problem. I think that a mathematical conjecture should be a conjecture that has not yet been proven."

"For example, Mersenne primes?" It seems that Liu Wei still remembers Mersenne primes when he was training at Jinghua University.Teacher Chen used the break time to explain some doubts about Mersenne prime numbers.

Liao Yuanbai half understood, but Liu Wei was confused.Therefore, his memory of Mersenne primes is still fresh.Liao Yuanbai shook his head, "What are you thinking, how could this kind of question come up. I think it should be a relatively simple conjecture, at least not as perverted as Mersenne prime numbers."

Liu Wei immediately stood up, "Do you want me to give it to you?"