Chapter 109: Giving Roses to Others, Leaving Fragrance in Hands
Yuan Zhengxin was very satisfied with Qiao Yu’s performance.
It can’t even be described as very satisfied... The old man is very sorry. It’s a pity that Qiao Yu is not his grandson!
How wonderful it would be if this child was his grandson.
Especially at this time, when the sun was already setting, a ray of sunlight leaked in from the window and fell on the child's concentrated body, making Qiao Yu look like an angel covered with light.
The more I watch, the more I love it.
How much do you like it?
Let's put it this way, the old man got up and went to the bathroom. When he came back, he made some noise, which alarmed Qiao Yu. Qiao Yu raised his head blankly, glanced at the place where the noise came from without focusing at all, and then He immediately lowered his head and began to continue writing and drawing on the manuscript paper.
In fact, it had no impact, but the old man did not even dare to drink water for the next time, fearing that if he had to go to the bathroom again, it would affect Qiao Yu's thinking. He even breathed a little softer.
Time passed quietly as the old man glanced at Qiao Yu from time to time, and finally the young man next to him stretched out.
But the old man's originally kind eyes became solemn because of this laziness.
"How is the effect of studying here in the afternoon?" The old man asked seriously.
Qiao Yu nodded vigorously, not caring about the old man's serious look, and replied loudly: "Grandpa, the reporter, that's very good! I'm really not bragging to you, I feel like I'm going to finish Needham's " "Visualized Differential Geometry and Forms" thoroughly understood! "
"Oh? You haven't asked me a single question, so I'm going to test you." The old man said seriously.
"No problem, you can take any test on this book except for the last bit!" Qiao Yu stood up confidently and handed the book to the old man beside him.
Yuan Zhengxin took the book from Qiao Yu, flipped through it casually, then put it aside and asked: "Needam believes that geometric intuition can affect the study and research of differential geometry. What do you think of his view?"
Qiao Yu replied loudly: "I think Needham's view is correct. First of all, geometric intuition is a concept emphasized in Needham's book, which refers to understanding geometric objects and their properties through vision and spatial perception. Ability.
This intuitive ability. It can help us form concrete spatial images when facing abstract mathematical concepts, making it easier to understand complex structures and relationships, especially when dealing with complex manifolds and surfaces.
Through geometric intuition, researchers can better propose and verify conjectures, thereby making progress in the derivation and application of theories. Let me give you an example..."
Qiao Yu's voice is neither humble nor arrogant. Clear and sound to the ears. The answers given are clear and logical, with opinions, analysis, and examples. Yuan Zhengxin probably understood why this child got so many perfect marks, and why Zhang Shuwen took a look and concluded that this child had amazing talent.
In this way, in the quiet small building full of ancient charm, two people, one old and one young, asked and answered questions, as if they had traveled through a hundred years, just like the way students faced their teachers in ancient private schools. .
The old man nodded slightly, finally smiled, and said: "The last question is, how do you understand the relationship between the tangent bundle and tangent space on the manifold, and discuss the impact of the geometric structure of the tangent bundle on the manifold."< br>
Joe Yu answered loudly without hesitation: "The tangent bundle is the set of all tangent spaces on the manifold, usually represented by TM, where each tangent space TpM corresponds to a point p on the manifold M. The tangent space is a vector space, The tangent cluster combines these tangent spaces The structure of the tangent bundle. The effect of the geometric structure of the tangent bundle on the manifold is that it allows us to define the vector field and differential form. Through the study of the tangent bundle, we can analyze the local and global properties of the manifold. Mapping, topology of manifolds, and how to define geometric quantities on manifolds
Oh, by the way, tangent bundles also play a key role in defining connections and calculating curvature, thus helping us understand manifolds. The bending properties of..."
The old man asked six questions in total, covering all aspects of the book Qiao Yu had read.
Qiao Yu's answer left him unable to find a single fault. Really, every detail was almost perfect.
"Okay! Well, it's just past five o'clock, and there's still a while before dinner. Do you dare to challenge one of my exercise papers on differential geometry?"
"No problem. Ah! Grandpa Shi, if you want to test me, just come over!" Qiao Yu still looked confident.
"So confident? It seems I have to choose a more difficult one." After saying that, Yuan Zhengxin stood up, pulled out a folder from the bookcase behind him, and selected a test paper from it Passed it over.
Qiao Yu took the paper and did not start working on it immediately. Instead, he read the paper from beginning to end, and then said with a sad face: "Grandpa Shi, I can do the paper. Can I make a small request?"
"Oh? What's the request?" the old man asked patiently.
Qiao Yu took the paper and said: "Look, some of the questions in this paper are not difficult in themselves, but it is too troublesome to use differential geometry. For example, the third question, find the parametric curve at the point For the curvature and torsion of P, if I use the method of differential geometry, I have to calculate the derivatives first, and then I can solve it through the curvature and torsion formulas.
But if I use the algebraic method, it is straightforward. Following the parameter substitution method, that is, x=t, y=t^2, z=t^3. Through this relationship, the geometric properties of the curve can be directly derived, and then substituted into the geometric formula, saving the time of calculating the cross product. "
The old man glanced at the question and nodded again and again, and asked kindly: "Well, it can indeed be explained this way, but why are you thinking of being lazy before you finish the paper?"
"Master, it's not that I'm lazy. It's mainly because I read a book all afternoon and I feel a little hungry. If I use differential geometry to do it all, it will take at least half an hour. I'll use some labor-saving methods and I'll finish it in twenty minutes. You can go back to eat!" Qiao Yu said, patting his belly.
Yuan Zhengxin was stunned and immediately said: "Yes, yes, yes, this is my fault, Grandpa Shi. Hey, I forgot that you are only fifteen years old. It is the time when you are growing. I am not hungry, so I thought you were too. Not hungry yet. In this way, you don’t need to write the whole question. , just write down an idea.”
It’s a pity that there are only two people in the office, Qiao Yu and Yuan Zhengxin. If Mr. Yuan’s students see his teacher’s self-blaming look, it will probably be a big deal. Shocked and doubtful about life.
You must know that Mr. Yuan has always been known for being strict. If it were someone else, let alone eating a little later, there is a high probability that he would not starve to death even if he did not eat...
"Master Grandpa, you are so kind. It only takes fifteen minutes at most.”
"Okay, you do the questions first. By the way, we'll eat here tonight. What do you want to eat?"
"Um? Well, let's eat in the cafeteria! Anyway, the food in the cafeteria of Yanbei University is quite good. It’s delicious. I just want to try the food in Qingbei Canteen! And the food in the canteen is fast! ”
< br>"That can't be worse than the one in Yanbei Canteen. What kind of food do you usually like to eat? When you do the questions, I will have someone bring it to you."
"Grandpa Shi, I'm not picky about food, so please order more Meat is good. By the way, mutton is even better.”
“Okay!”
...
"Mr. Yuan, are you sure the meals will be packaged directly to your office?"
"Yes, remember to order more mutton, all kinds of mutton."
"Well, okay, okay."
"Hurry!"
"Don't worry."
......
"How about it? The food in Huaqing Canteen is also good, right?"
"Well, it's just as delicious as Yanbei Canteen. ”
“If it tastes good, eat more.”
"Grandpa, you eat too."
"I'm not hungry yet, you eat more. By the way, are you still used to it after coming to the capital?"
After hearing this answer, Qiao Yu blinked, it was fine that the old man didn't correct him.
“I’m quite used to it, but the heating in the room is too hot, and I often wake up from the heat at night.”
“It’s better to leave a window gap when sleeping to avoid stale air. Ventilate, overheating is not good. ”
"Okay, grandpa. Let's try it tonight."
"Also, is your living expenses in the capital enough? I heard from Teacher Lan that you still have to make money to support your family when you are in Star City?"
"That's enough! Grandpa, that's all from the old calendar! I won the gold medal in the Little Libaba International Mathematics Competition and was given a bonus of 200,000 yuan. I ranked first in IMO. The school secretly rewarded me with 25 yuan. Ten thousand. I left my school bonus to my mother for living expenses. I still have 200,000 yuan. To tell you the truth, I have never been so rich."
"Haha... You are very good, and the school is also very good. Grandpa, I also came through hard times.”
“I know, I heard my grandpa say that it was very difficult for people of his generation, and it must be even more difficult for people of your generation. It’s a pity that I am a very good person. He left when he was in fifth grade.”
"Hey, it's a pity that it's not a holiday... Not to mention these disappointing things, are you still reading Schulz's paper?"
"You are reading it, grandpa, I am studying his 2012 paper "Pe" published in Publications mathématiques del'IHS rfectoidSpaces". This paper makes the definition of complete space clearer.
Combined with the differential geometry I am looking at, I think that on a complete p-adic, the structural ring of the complete space only needs to satisfy the characteristics of perfectoid. , can be used for those complex geometries Analysis. And his tower structure is so shocking.”
“Yes, this is the way to read the paper and think about Schulz’s work in connection with the content you have studied so far. Groundbreaking. As far as I know, many teams are currently doing some basic research using his results.
For example, Professor Gates Gorey of the Planck Institute of Mathematics is leading a team to prove the Langlands Program in geometry. We also have professors from Huaqing involved. If you have the energy, you can learn about Luo. The problem of the Setha Stone, especially the parts involving geometry and number theory.”
This hint was too obvious. After understanding it, Qiao Yu shook his head decisively and said, "Grandpa, I don't want to follow others to do the research they have already started. And my basics are still too poor now! Wait until I can make up for the basics." I want to make a result from scratch that can make you proud of your shortcomings!”
“Yes, yes, no! It’s really not interesting to be a human being! My disciple is ambitious! You can quickly make up the basics in the past six months. Grandpa is waiting for you to make achievements.” I’m full.”
“Well, I have something else to do tonight, so I can only ask someone to drive you back.”
"No, grandpa, I'll just walk back by myself."
"It's hard to walk so far just after dinner. Besides, it's not convenient for me to have someone drive to Yanbei to pick you up. Why don't you just drop me off?" ? You follow my arrangement."
"Okay, grandpa."
"Yes. With this card, you can go in and out of Huaqing at any time. There is still some balance in it. If you want to come to Huaqing to eat, just swipe this card. If you feel uncomfortable, you can also go to the campus hospital in Huaqing. Use."
"Ah? Grandpa, isn't this good?"
"You call me grandpa. I didn't prepare any elder gift for you in a hurry. Just take it and don't refuse. I also have this book for you. You can take it back and read it at your leisure."< br>
"Thank you, grandpa."
Qiao Yu took the book and the card, put the card casually into his pocket, and held the book in his hand and read it carefully.
"The Beauty of Mathematics" is an old book, but it can be seen that it is well preserved. When you open the title page, there is an autograph of the old man, which is so cool.
Qiao Yu put the book into his bag very solemnly.
"Let's go, I'll take you downstairs to the car."
......
Yanbei University, Beijing International Mathematics Research Center, Chen Zhuoyang has a book spread out in front of him in his office, but His mind was obviously not on the book in front of him, and from time to time he would raise his head and look out through the window.
The position where he sat could see the only way to this building. He originally chose this layout to observe whether the instructor would come over, but he didn't expect that he would use it to see his junior brother today.
Speaking of which, he was already in this state three hours ago. I went to the cafeteria for dinner at half past five. When I came back, I went to my junior brother's room to take a look. I found that the door was still locked and no one was inside, so I went back to the office to wait. Now the time is almost up. It's half past six.
Junior brother, is he running to the other side and nowhere to go?
Forget it, Chen Zhuoyang felt that he couldn't stay in the office and was restless all the time. He might as well go back to the dormitory to calm down and read a book. After all, the academic pressure was still very high.
I tidied up my desk casually, then picked up the books on the desk and walked out of the office. Not far from the entrance of the research center, I saw a black Audi car driving in this direction. Then he stopped steadily at the intersection entering the research center.
Chen Zhuoyang glanced at the license plate subconsciously. Well, it was not the research center's car.
Just as he was about to walk over, he saw Qiao Yu getting out of the car and politely thanked the driver.
"Qiao Yu?" Chen Zhuoyang shouted.
"Hey, Senior Brother Chen? Are you going to go back to the dormitory." Qiao Yu turned around and walked to the senior brother naturally.
The car behind them started directly and left behind the two of them. Well, Yanbei University has many gates. There is a gate in front that you can go around without turning around.
"Ah, I just went out and you came back from the other side? Is that Mr. Yuan's car?" Chen Zhuoyang glanced at the car that had left and asked curiously.
“I don’t know, Senior Master just arranged a car for me, right? And I will definitely come back, Senior Brother, I am a student at Yanbei University, and I don’t have a dormitory in Huaqing, can I just sleep there? Grandpa Shi’s office.”
Seeing Qiao Yu's natural appearance, as if he had returned home after going out for a walk, Chen Zhuoyang felt that his views had been subverted again, and at the same time his curiosity was bursting. He naturally turned around and followed Qiao Yu back.
"Um, you were in the teacher in the afternoon, ah, no, what did you do with Mr. Yuan?"
"Just reading. After reading the book, the teacher took the exam again. I asked some questions and made a practice paper, and then I saw that it was getting late, so I stayed at Huaqing for a light meal. Speaking of which, the food in Huaqing canteen is quite delicious! Boiled mutton.
Oh, by the way, my grandfather gave me a card before he left. He said that I could swipe my card to enter Huaqing and use it to eat in the cafeteria next time. Go to the Huaqing Canteen and tell me, I’ll treat you!”
“No, didn’t you talk to Mr. Yuan about anything else?”
"We talked. Grandpa Shi asked me to study the Rosetta Stone issue and wanted to introduce me to a research team. I refused. After all, there is no point in working with others. We will do our own research in the future."
“What? What kind of team?”
“It seems to be from a professor at the Planck Institute of Mathematics. The team mainly studies the Langlands Program in Geometry. There happens to be a professor from Huaqing University in the team. Master Shi probably wants me to work as a helper and gain experience, but I don’t think it’s necessary. Senior brother."
Chen Zhuoyang looked at Qiao Yu with his mouth half open, always feeling that this might be made up, but he couldn't seem to make it up.
Although many people may know about this cutting-edge mathematical research team, there are definitely not many.
Of course, Mr. Yuan definitely knew it very well, but he couldn't figure out why Mr. Yuan would mention this to his junior brother without bringing Qiao Yu into the research group.
If it is added that Qiao Yu has indeed researched Schulz's paper recently, it will be even more possible.
It is said that although Schulz himself did not participate in the study of the geometric Langlands program, his theory is an important prerequisite for solving this problem, so Mr. Yuan opposite seems to be really thinking very hard. Give me a hand, little junior brother.
Old Yuan is confused!
Fortunately, my junior fellow apprentice is sober and refused. Otherwise, if he had joined such a world-class research group at the age of fifteen, would senior fellow apprentices like them still have to live? !
Of course, you can't say that. Chen Zhuoyang could only ignore his conscience and said with hatred: "Hey, junior brother, such a good opportunity... As you said, you can definitely go in and exercise, and compete with those big guys Let’s learn more, why did you refuse?”
Qiao Yu looked sideways. Looking at Senior Brother Chen, he said seriously: "Brother Chen, you are so superficial! Our Teacher Tian is also a big boss, and he joined this kind of research group. When the results are signed, they are always at the end. I can't even find them. If you get to that point, who will remember you in the future?
If you have that time, why not follow along quickly? Teacher, let’s learn more from Grandpa Shi and start a project of our own in the future. Once the research comes out, we will be the first authors. So what’s the rush?
There are so many difficult problems in mathematics. , those Millennium problems have been on the list for so many years, and no one has been able to solve them. There are more people on the list, are you afraid that there will be no topics in the future? So, Brother Chen, you have to expand the pattern, we have to accumulate more knowledge, and then we will be a blockbuster!"
Listening to Qiao Yu's old-fashioned attitude! If so, Chen Zhuoyang could not help but think of the abbreviation of China's National Missile Defense System. This is so simple...
Those difficult problems of the millennium...
Can normal people deal with porcelain?
How many people have chosen this kind of proposition with great ambition, and then fell down on it for the rest of their lives, wasting their best years, not achieving any shit, just gambling on their lives...
< br>He wanted to remind this junior fellow student that the senior fellow student opposite him had successfully won the Fields Medal because he refused the teacher's proposal and did not do research on the Riemann Hypothesis in the Millennium Problem. .
If Yuan Laozhen had chosen to pursue the Riemann Hypothesis, the Fields Medal might have been gone.
But...
Forget it...
"By the way, senior brother, are you going back to the office again?"
Qiao Yu's voice Calling back Chen Zhuoyang's wandering thoughts, he looked at his junior brother beside him, a little embarrassed, and just went to eat melon...
He quickly followed Qiao Yu's words and said: "Well, yes, I forgot to bring the half-written paper I just wrote. I have to go back and get it."
"Speaking of papers, I heard the teacher said that you are studying complex flow Geometry analysis?" Qiao Yu's tone suddenly became enthusiastic.
Chen Zhuoyang looked at Qiao Yu warily, nodded, and replied: "Yes, what's the matter?"
"Brother, I have an idea. Look, everyone is here Study the geometric Langlands conjecture, and you should too To make it more difficult for yourself, you can also add Schulz’s theory of quasi-complete space. I have a feeling that as long as you understand Schulz’s theory thoroughly, you will definitely be able to write new ideas in your doctoral thesis.”
Qiao Yu said seriously.
Chen Zhuoyang was stunned for a moment, then looked at Qiao Yu seriously and said: "Well, junior brother, you'd better have some thoughts about yourself. Really, senior brother admitted that he was wrong. I shouldn't have said anything when I first met you. You treat it like air. Do yourself a favor and don’t have anything to do with my paper. What are your ideas?"
Qiao Yu persuaded without giving up: "Believe me, Brother Chen, if you start studying this with me now, Teacher Tian will definitely be proud of you when the paper is written. Yes! Are you really willing to just graduate from the research center like this? After graduating with a Ph.D., and then going to an ordinary key university, you have to start as a lecturer at an ordinary key university?"
Chen Zhuoyang said with a look of joy: "Junior brother, is there such a good thing? To tell you the truth, being able to teach at an ordinary key university Senior brother, that is my goal. When the time comes, can you help me ask our boss for a recommendation?"
Qiao Yu: "Senior brother, you..."
What to say? Well, this Senior Brother Chen didn't seem to be pursuing him much, which made Qiao Yu very disappointed.
What's the point of being a bad lecturer? You have to slowly be promoted to associate professor. Professor... isn't your life wasted?
He originally thought that Director Tian’s students must have great ambitions.
Chen Zhuoyang sighed and said: "Hey, little junior brother, I was actually very ambitious before. Really, I was no worse than anyone else back then, but after completing serious mathematical research... You can tell just by looking at my hair now.
The teacher always said that the research I did was nothing new and only distributed some water journals, so why didn’t I know? But you know I can’t help it, right? Something I just can’t learn Western things! I also want to learn Schulz’s stuff. I’ve also read his papers, but I can’t understand them. Do you know why you think I should take the initiative? Why don't you just do some miscellaneous things in the research center? I just want the teacher to see that I have no merit but can give me a hand when the time comes. Hey, you have embarrassed the teacher by accepting a student like me!"
Qiao Yu was shocked by these remarks and asked in surprise: "Can't you understand? Senior brother, the proof process of Schulz's thesis is very clear and the logic is online. Why can't you understand?"
Chen Zhuoyang He raised his head and glanced at Qiao Yu with a complicated expression: "Schulz's paper is about functional analysis, probability theory, and... I won't talk about mathematical physics. The key is that there is no intuitive geometric explanation for the abstract concepts, let alone those complex theorems and formulas, such as one that defines the Cauchy sequence. The formula contains more than ten conditions and limit concepts. How could it be as easy to understand as you said that day? Professor Zhang also said in your seminar that the beauty of mathematics lies in its simplicity.
But what he didn’t say is that everyone can understand it when it is simple, but it is difficult when it is complex! For example, Euler’s formula is simple and beautiful. Easy to learn. Geometry is even more intuitive. The complex number e^ix represents a rotation on the unit circle, cos(x) and si n(x) respectively represents the horizontal and vertical components of this rotation.
Everyone can easily learn this, but it is not that those things that are extremely abstract are not beautiful, but only a few people. Do you understand that you can really understand something that others can easily understand?
Let's put it this way, I didn't understand a bit of your seminar yesterday afternoon... Do you understand? This is probably why Professor Zhang criticized you...you are too inconsiderate of the vast majority of people. So I really gave up scientific research, but I thought it would be okay to be a math teacher. "
Qiao Yu nodded silently. Looking at Senior Brother Chen who was really almost bald, he rarely felt a trace of sympathy in his heart.
But in his heart, he was completely raw. I can't empathize, because he still doesn't understand why he can't understand, that's not Is it something you can understand if you have a brain?
But you can’t say that Senior Brother Chen is brainless, right? After all, he is a PhD student at the Mathematics Research Center and a student of Director Tian...
" Ahem, um, Senior Brother Chen, your undergraduate degree was not from Yanbei University, right? "Facing his senior brother who was on the verge of emotional collapse, Qiao Yu asked cautiously and tentatively.
"Well, my undergraduate degree was from Linhai Jiaotong University. I first got a master's degree from Yanbei Institute of Mathematics, and then a PhD from the research center. I felt very lucky at the time and became Director Tian's student. But now... ah..." Chen Zhuoyang He sighed and answered honestly.
So my senior brother was probably delayed by a not-so-good university during his developmental period, right?
No, Linhai Jiaotong University is not bad, it was once one of the legendary nine-school alliance.
"Oh, okay, I will definitely give you some advice to the teacher when I get the chance later."
"Thank you, little junior brother."
"It's a small thing. By the way, when you finish writing your doctoral thesis, show it to me first and I'll help you revise it. To be honest, I am good at revising thesis, so as not to hand it in directly and make Director Tian angry again. . Then it will be hard to say.”
Qiao Yu decided to help this struggling senior brother to get out of his misery as soon as possible.
Mainly for his own sake, he felt that Senior Brother Chen was indeed emotionally unstable. The key was that the office was still upstairs from him.
Of course, you can also sell favors by the way, which is not bad.
"Uh... OK, I'll show it to you when I finish writing it." Chen Zhuoyang said with a red face. He really couldn't say thank you for this.
Feeling that the senior brother's tone was a little weird, Qiao Yu suddenly realized that he was a junior junior fellow student. He had been thinking about his senior brother's paper and couldn't understand it. It was totally fine for him to give him some advice, but emotionally, the senior brother was indeed not easy to accept.
Senior brother must think he is too presumptuous.
Fortunately, it doesn't matter. After Qiao Yu reacted, he immediately found a solution and added: "Hey, senior brother, don't get me wrong. If you think so, even if I can't finish your thesis, but I can't finish your thesis with the other person. My relationship with Grandpa Shi is good.
I will secretly take you there when the time comes. Take your graduation thesis to Grandpa Shi to take a look at it, and then ask him to help you give you more opinions, and even ask him to help you revise it. Even if he doesn't have time, he can arrange for a capable professor to help, you understand. ?”
After saying that, Qiao Yu imitated an adult and patted Chen Zhuoyang’s shoulder.
With one word, Chen Zhuoyang suddenly became enlightened. The little bit of embarrassment and dissatisfaction he had just felt was instantly wiped away, and his whole person became excited.
"Junior brother, thank you so much! In this way, if you are dissatisfied with your life here, you can tell me, and you don't have to trouble the teacher with everything. In fact, some things in the teacher's position are really... Don’t be too biased, but we brothers are different, you know.”
Chen Zhuoyang said immediately.
"Okay, then I would like to thank my senior brother first. Well, by the way, I am not dissatisfied with life. I actually think everything else about living here is pretty good. By the way, when I wash my face in the morning, I feel that the water is a bit too much. It's freezing."
"If you had told me earlier, I would find a way to coordinate a solar water heater for this building tomorrow. In this way, I guarantee that the toilet will have hot water by this week at the latest."
"Okay, thank you, senior brother! I'm here, hurry up and get the paper."
"Okay, you can study with peace of mind. Remember to tell us about life matters, and senior brother will help you take care of it."
Seeing his senior brother rushing up the stairs in high spirits, Qiao Yu took out the key from his pocket, opened the door and entered his room.
There are many emotions. This is probably a rose given to others, leaving a lingering fragrance in the hand, right? However, he felt that the senior brother's change was too fast, too stiff, and not smooth enough. If it were him, he would definitely not be so happy so early and eager to give away the benefits... He has stayed in school for too long!
But when he returned to the room, sat on the stool and looked at the computer and printer on the table, Qiao Yu fell into deep thought again.
He really couldn't understand why the senior brother of Director Tian's student couldn't understand Schulz's paper. Is it really that difficult?
Although he has been in Class 13 for a long time and knows very well that some students’ brains are really hard to use, his senior brother is obviously different from his classmates in Class 13. Those who can get into Linhai Jiaotong University will probably be ranked among the top 100 key high schools in Star City.
After pondering for a moment, he gave up. He took out his mobile phone and called Qiao Xi. After all, he had been here for two days and he recognized a grandpa today, so he had to inform his mother.
Well, the main reason is that he misses his mother a little bit. No matter how strong he appears outside, he is still only a fifteen-year-old child after all.
The call was quickly connected, and Qiao Xi's signature lazy voice made him feel warmer.
"Hey, kid."
"Hey, Mom."
"It's not bad. Remember to call me. I've been seeing those kind of videos in the past two days, saying that the child is pregnant. College is like a kite that has been flown out. If you don’t pull it, you won’t even remember that you have a family. I think you are not short of money, and I don’t even have the thread to pull you.”
"Who is so irresponsible? You can post any messy videos! Besides, am I that kind of person? By the way, let me tell you something, I recognized my grandfather today, which is amazing! "
"Huh? Are you saying that you think it's great to recognize your grandpa, or that this grandpa you recognize is great?"
"That's awesome! After all, most people can't recognize this grandpa!"
"Although, your dad is indeed not a thing, but to recognize grandpa randomly..."
" My grandfather is the teacher of my academician teacher. He is now the No. 1 in the School of Mathematics at Huaqing University and a leading figure in the domestic mathematics community. In other words, I am not only protected by teachers from Yanbei University, but also my grandfather from Huaqing University. protect It's equivalent to stacking two layers of legendary armor in the game. Just tell me how powerful it is!"
"Tsk, tsk, tsk, your useless dad doesn't deserve such a dad. ! "
"What a wonderful day, can we not talk about that man? Is it because no one will argue with you after I leave? Why don't you come to the capital?"
"Okay, if you don't argue with me, I can live ten more years. But I really shouldn't mention him, my fault. Just make up your own mind about your affairs, and you don't need to report to me. Anyway, I'm thinking about you. You won't suffer anywhere.
But I won't go to the capital. Your grandpa over there recognizes you, and I don't even know his name when I go there. Don't worry, the old Xia family upstairs takes good care of me. By the way, the whole community now knows that you go to Yanbei University. The first thing you said when you met me was that you were with someone else. My child is different, very smart.
Congratulations, Qiao Yu, it only took you fifteen years to become what others say. Someone else's child."
"Huh..." Qiao Xi's rare compliment made Qiao Yu smile and said, "Oh, by the way, talking about being smart, Mom, When I was little, did you ever feel that I was so smart that I was a little abnormal?"
"Well, to be honest. , Qiao Yu, do you think you have lived a normal life? What normal child can coax a bunch of elderly people the same age as your grandfather into running around every day? But he woke up his mother in the middle of the night and shouted with a serious face that he wanted to support the family in the future?
Do you know what’s the most amazing thing? You really did it! So I have always felt that since I was a child, I have never been anything like normal! "
Well, thinking back, Qiao Yu suddenly realized that he was indeed a little different from other classmates since he was a child. In short, it was indeed not normal.
The case was solved... No My senior brother is too weak. The main reason is that he is too strong!
“Hey, it seems that the main reason is that my IQ is too high. I feel that other people’s IQs should be as high as mine, and my poor grades are just because I don’t work hard. Hey, I shouldn't have bullied that fool in the group. "
"What did I tell you? Don't cause trouble outside. Calling people stupid means causing trouble. ”
"I'm serious. I was researching a series of papers recently, and today one of my Ph.D. brothers told me that he couldn't understand it. You don't know how strange I felt when he said this. . I always feel that the proof process is clearly written there. I don’t understand why I can’t understand it.”
“Is it possible that you are just younger? , or maybe people are more flexible? Although I’m not good at reading papers, I’m much better than you in other aspects. Although you are indeed quite smart, you are still a human being, right? Aren’t people’s IQs similar?”
“It seems to make sense. "
"Besides, I didn't think math was very difficult when I was a kid. At least in high school, I ranked second in the school in every math test."
"Oh? Who is first?”
"The first one, um, is a man named Feng. He gets perfect marks every time! I don't think he has ever failed once!"
"Ahem..."
"So, I don't care if you are smart or not. The most important thing is that you don't learn to be a bad person. No matter where you are in the future, I won't allow your moral bottom line to be lower than a certain surname." Feng’s man is still low.”
“Don’t worry, I have a great character! But Mom, your grades were so good back then, you can definitely take another year to take the college entrance examination after you give birth to me.”
“Firstly, the environment back then was different from now; secondly, I didn’t have much time to study at that time.”
"How about this, you start reviewing now. Anyway, the college entrance examination does not reject social candidates now. You and Keke will register for the college entrance examination together in three years. When the time comes, you will take the exam and come to the capital together. I will work hard and strive to graduate in three years. I will be your teacher.”
“Qiao Yu, do you want to listen to what you are saying?”
“ Okay, of course I'm joking to be your teacher, but it's serious for you to study at home and take the college entrance examination. I've left all my high school textbooks at home. You can read them first. I'll ask my senior brother to help me get some review materials back later. Learn with Coco. You always have something to do at home, right? Otherwise, it would be boring to stay at home every day!"
The other person was silent for a long time.
Qiao Yu originally thought that the other party would not agree, but unexpectedly his mother asked quietly: "Do you really think I can do it?"
"That's for sure. You learn English very quickly! And you used to be second in high school math every time. The best you can do is learn it all over again. By the way, I suggest you focus on physics, chemistry, and biology, so you have more options. < br>
And these three courses are all easy, as long as you understand them It’s not tiring to learn, and the only things that require rote memorization are chemistry. These three subjects require experimental exams, but it’s not a big problem. I’ll tell Principal Zhang later that when you need to do experiments, just go to the iron school. No. 1, he will definitely agree.”
“ Let me try?”
“What do you want to try? What did grandpa say? If you want to do something, and it’s right, you have to take action immediately, and it may change even if you wait a minute. Idea! So get moving now!
This way, I’ll wait. I will plan a study schedule for you. We will start the evening self-study tonight. Well, today is the math evening self-study! Go to my room to find my math book and see if you still remember the questions? If so, you have to start from junior high school.”
"Oh, okay, I'll go to your room to study later. But you don't need to arrange the time for me. I'll just ask Coco's mother to send me Coco's class schedule, and I'll follow it roughly."
"That's okay. You have to try your best to concentrate, but studying is not cooking. Even if your mind wanders occasionally, it's not a big problem. Just come back and continue reading. Maybe studying can also improve your concentration. .You do anyway. There is no need to take the exam for Yanbei or Huaqing. When I came here, I saw that there was a normal university nearby. It was quite close.” I can ask her, don’t worry about it.”
“No, shouldn’t you ask me?”
“Except you are slightly better at math, you have learned other high school knowledge. ”
Although it made sense, Qiao Yu still felt despised, and retorted righteously: "Please remove the words "a little bit and a little bit"! Thank you!"
"I'm going to read a book. "
"Well, let's go. "
After hanging up the phone, Qiao Yu thought for a while and decided to ask Senior Brother Chen to get him some basic books on physics tomorrow.
Forget it about chemistry, but it is still necessary to learn physics.
After all, both Grandpa Shi’s research and Schulz’s paper include mathematical physics.
It was not about regaining face in front of her mother who was preparing to take the college entrance examination. The main thing was that the conversation with Senior Brother Chen made Qiao Yu realize that the breadth of knowledge is as important as the depth.
Anyway, his relationship with Senior Brother Chen has become very strong now.
Especially when he said goodbye to Senior Brother Chen today, Qiao Yu felt that Senior Brother Chen was so excited that he was afraid that she would not ask him for anything.
I can only say that although the relationship between the teacher and the master is not very good, the master is the master after all, and the name is still very useful.
The 24th day of the 10,000-word update has been completed!
(End of this chapter)