087 Mathematics is so unreasonable
The phone was hung up directly in Lu Zhengyue's arrogant and gloating laughter.
Fan Zhenhua's mood became a little bad inexplicably.
Although the joys and sorrows of human beings are not the same, Fan Zhenhua knows very well that the joys and sorrows between the two are the same and inversely proportional.
To put it simply, if Lu Zhengyue is deflated, he will definitely be happy, but there is a high probability that he will not show it; But if she is deflated, Lu Zhengyue will not only be very happy, but will even take the initiative to call and laugh wildly.
But what does this have to do with Nature?
What serious mathematician would go to Nature and read a paper?
I wanted to ignore Lu Zhengyue and laugh it off, but after all, I couldn't help the curiosity in my heart, turned on the computer, and logged in to the official website of "Nature".
Well......
It's quite conspicuous.
Obviously, the name of Ning Xiao in the academic world is still a hot topic. The paper went directly to the homepage, with a large font, but the content made him a little incomprehensible, so the lightning was manually controlled? Not bad, very thoughtful.
Soon Fan Zhenhua knew why Lu Zhengyue was so happy. Because only Yanbei Sports University is the signature of the author's institution, and even the Department of Mathematics has not brought it.
In fact, if there was no call from Lu Zhengyue, Fan Zhenhua would probably just laugh and forget it, after all, the paper itself is not very related to mathematics.
But being called by Lu Zhengyue made him a little angry.
So before he had time to read the paper, he took out his mobile phone and dialed Chen Yonggang directly.
I can't tell Ning Xiao about this, but it is his agreement with the body.
As soon as the phone was connected, Fan Zhenhua asked unceremoniously: "Hey, Principal Chen, I just saw that Ning Xiao published a paper on nature, you should know about it, right?" ”
"Ah, yes, what's wrong?"
Hearing the tone of the other side without any shame at all, Fan Zhenhua was even more upset and asked, "What's wrong?" Why is the author's unit only large? We signed a contract, didn't you mention this to Ning Xiao? Chen Yonggang, if you play with me across the river and tearing down the bridge, don't blame me for not preaching morality! ”
"No, Academician Fan, did you misunderstand? I have directly shown the contract to Ning Xiao, how could I not mention it? However, the contract is clearly written in black and white, and all mathematics papers published by the mathematics major of the University of Sports must be the units of the Yanbei International Mathematical Research Center and the School of Mathematics of Peking University, but Ning Xiao's paper does not belong to the mathematics paper, right? ”
Fan Zhenhua was stunned, his momentum suddenly weakened a little, and he frowned and asked, "Do we have an agreement that it must be a math paper?" ”
He really didn't pay attention to these details, after all, he only roughly explained the premise of cooperation at that time, and he did not participate in the drafting of specific contract terms.
"Look at what you said, the contract is in triplicate, and it's not just our body? You also have it over there, don't you know if you turn it out and take a look? ”
Fan Zhenhua remembered that there was the final draft of the contract on the computer, and said, "You wait......"
Then he began to look up the contract on the computer that he had asked an old friend from law school to help him draft, looked at it carefully, and soon found the terms of the other party's obligations, as Chen Yonggang said......
“…… Well, Principal Chen, I'm sorry to blame you, let's do this first. After speaking, Fan Zhenhua hung up the phone directly.
I was very angry, but I didn't know how the fire was going out.
In fact, a paper on "Nature" is nothing, but some papers carry the name of Yanbei University, and some do not, so what do those people in the academic community abroad think? How to explain to your peers when you go abroad for meetings in the future?
It's no wonder that Lu Zhengyue made a special call.
On this last day of August, Fan Zhenhua suddenly felt that he needed to have a good talk with Ning Xiao.
……
Yanbei, large body.
For Ning Xiao, the biggest advantage of completing the March basic mathematics intensive training is that he has more time at his disposal every day and is more free. The amount of time spent outside can also be increased.
Of course, if Ning Xiao really had something, March would not use a forced method to keep Ning Xiao in the dormitory to continue studying, it was nothing more than how much time Ning Xiao delayed, in the next period of time, March would find a way to help him make up for the time.
In this respect, March is both very human and completely inhuman......
It's like today, Ning Xiao had to go out again.
School is about to start, and he has to go to see Ding Yulin and test the learning results of his sister for more than a month.
Of course, he didn't really ignore Ding Yulin at all these days, he added the tutor's WeChat, and the two would communicate several times a week, Ding Yulin's learning progress was actually clear to him.
Anyway, there is still a lot of progress.
At least the questions of general difficulty can already be passed, which is obviously far from Ning Xiao's opinion.
After all, the difficulty of the knowledge points learned in the entire compulsory education stage is actually very low, and if the test scores for the knowledge points in the textbook can only pass, there is basically no high school to go to after graduation.
So Ning Xiao planned to talk to Ding Yulin, he hoped that this sister could study the first year of junior high school again in the capital and lay a good foundation. After a year of delay to the second year of junior high school, I was able to achieve an excellent level in every subject.
Yes, learning is never the only way out of life, but for the vast majority of people, learning is the only way to turn the future from survival to life.
In addition to taking a look at Ding Yulin, when she came back, Ning Xiao also planned to go to Yanbei University to take a look at her cousin.
Ning Xiao had already returned to school yesterday and was ready to officially take up her post.
Speaking of which, Yanbei University had arranged accommodation for her last year, but he hadn't seen it yet. I happened to take a look today, and by the way, I asked Ning Xiao how the relationship with that Teacher Lu was—he was not very worried about the neighbor next door.
On the same day, Dominit Duncan walked out of the school's guest house for him for the first time after coming to China for nearly half a month.
He was going to go to Ning Xiao.
Many of the European countries that still had royalty still retained their belief in chivalry. It just so happens that Dominette Duncan is one of them.
He wanted to tell Ning Xiao that he would next march into a world-class problem to pick the bright pearl.
It's like telling the other person if they're ready before a duel, it's a ritual that can get heartfelt satisfaction.
Win and win above board!
It may give people a feeling of being a little two, but the right way in the world is the vicissitudes of life.
……
Because he had been looking for Ning Xiao on the first day, he remembered very well where Ning Xiao lived. Generally speaking, mathematicians have a good memory, and for a genius like Dominit, his sense of direction is as strong as his spatial imagination.
left the guest house like this, and soon found the doctor's building where Ning Xiao lived.
The heat on the Internet has dissipated, and the west has applied for a patent, and there are not many people who come to bother Ning Xiao. However, Chen Yonggang did not say that the security of the doctoral building was removed, and the security booth at the entrance was naturally still there, and it was even said that he had begun to plan to build a fixed pavilion, but the number of people had already changed, and the management was not as strict as before.
So after Dominit Duncan informed her exchange professorship, she walked into the doctor's building, came to the door of Ning Xiao's dormitory, and knocked on the door.
There's no movement, no, there's movement......
"Meow ......"
I vaguely heard a cat meowing.
Dominit frowned, subconsciously raised his hand on the anti-theft doorknob, and twisted it directly, and actually twisted it...... The door is unlocked.
With Dominit's personality, it was really impossible to do something that the owner did not intrude on without being at home.
After all, he is a man who prides himself on being chivalrous.
But there was no one in the corridor at this moment today, and he pushed the door open again, and then saw that there was indeed a cat lying on the only writing desk in the dormitory, looking up at him.
Those little eyes are quite bright.
However, Dominit's gaze did not linger on the kitten, but instead turned her attention to the messy pile of manuscript paper and computer spread out on the table. Since he was a child, he did not like small pets, and his favorite animal was cows, preferably medium-rare.
Obviously, those scattered manuscript papers were more attractive than the kitten, especially when he thought of the most important purpose of his visit to Huaxia this time, he finally couldn't stand the temptation of those papers, and after hesitating for more than half a second, he raised his legs and walked into the room, but the moral sense of the bottom line in his heart made him not close the door easily. Instead, the door was left open there......
At least it proves that he's being open and swaggering—breaking in.
Walking over to the chair at the desk in the dormitory, Dominette picked up the top stack of manuscript paper from the kitten.
This action seemed to startle the kitten, who jumped off the table.
Then trot to the door.
Dominette still didn't bother to pay attention to the cat, just focusing on the mathematical formulas on the paper.
It's just that after the first glance, my eyes can't move.
This is to study the effect of the properties of the L function on periods, no, this formula - he doesn't seem to understand.
Even though there were a lot of messy proof processes written on the manuscript paper, he still couldn't understand it.
Dominit subconsciously swallowed his saliva and turned to the next page, fortunately this time it was about the topic of finger functions, which is very important in mathematics and is also the most basic function. It's impossible to play this kind of problem...... Wait, what is this?
A universal formula?
Deriving an infinite series of arbitrary exponential functions was naturally a very simple task for Dominit, and he could do it in an infinite number of ways. But this formula, which he had never seen before, seemed to make everything easier.
Silently checking in my mind, the results are all correct, but what about the proof process of this formula? How is this derived?
Dominit didn't realize that a fine bead of sweat was oozing from his forehead, which he couldn't read, but was shocked.
Swap out the next ......
Wait, this is reinforcing the Sato-Tate conjecture?
Subconsciously swallowed his saliva, Dominit looked into it, and a bunch of formulas he had never seen appeared again, and these formulas always appeared in the right place where they were needed. Especially with regard to the parsing of the L-function, the L-function, which gives the impression of a mathematical ghost, becomes like a docile lamb under these formulas that he has never seen before, including those special values in it......
In this way, Dominit, so immersed in the clutter of the calculus that he did not notice that the kitten had been kind enough to close the door for him, as if he was afraid that someone would suddenly break in and disturb him.
I didn't even notice that the kitten was lying in the corner, tilting its head, staring at him with interest with a frown and a concentrated appearance. You can even see the human-like emotions in those smart eyes.
With three points of pride, three points of remembrance, three points of pride, and one point of loss.
Of course, even if you see the estimated Dominite at this time, you won't be touched.
Because the seemingly chaotic process of calculations and proofs had drained all his brainpower.
Just the non-stop calculations in his heart have made him have no time to care, and he has even forgotten where he is and the passage of time.
Until I didn't know it, I turned to the last sheet of that stack of manuscript paper, there was no formula on it, only a few sentences were written. But it was written in Chinese, which Dominette Duncan could not read.
Dominit was stunned as a name came to his mind - Ramanujan. An Indian mathematician of genius to the extreme, he left behind thousands of mathematical formulas in his short but brilliant life.
Those formulas are so beautiful that they can't be understood.
So much so that when a mathematician proved one of the formulas, he won the Fields Medal directly.
At this time, the formulas written by Ning Xiao on the manuscript paper are similar.
Although I can't read it, if you bring in some simple numbers, it seems to be correct.
But obviously, it will be very difficult to prove these formulas.
There is no process of proving these formulas on the manuscript paper, and Dominit even suspects that Ning Xiao himself has not proved these formulas, but is just a mathematical intuition. But if that's the case, then this kind of mathematical intuition and talent ......
Suddenly, Dominette Duncan preferred these formulas to have a complete proof process.
But if these Ning Xiao really have the complete proof process of these formulas in their hands, it is no exaggeration to say that if Ning Xiao puts out the proof process of these formulas, according to the current selection criteria for the Fields Medal, it will be enough for him to win more than ten times......
In other words, Dominit felt that the world's top mathematics awards now did not match the mathematical attainments that Ning Xiao did not show.
Yes, the Fields Medal is not worthy of Ning Xiao.
The key is that Ning Xiao is only twenty years old!
Originally, Dominit felt that Ning Xiao was a mathematician who loved to perform, and the publication of three papers in the Annals of Mathematics in a short period of time was enough to illustrate this point. But now it seems that where is the expression of love in Ningxiao? It's just low-key and outrageous.
Because if this young man really wants to brush up on papers, even if he brushes more than ten papers in the top mathematics journals a month, it is probably okay.
The young Harvard math professor, who had had a smooth ride all his life, had never been more discouraged in his life than he is today.
Because a dozen or so pieces of A4 manuscript paper have smashed the talent he once prided himself on.
At the same time, Dominit's curiosity suddenly surged, and he was eager to know what Ning Xiao said on the manuscript paper that had written a few sentences in Chinese.
So he put the manuscript paper back on the table, took out his mobile phone, and took a picture of the words directly.
After the shooting, Dominit's eyes were still lingering on the stack of manuscript papers, and it could be seen from the tangled expression that this guy was doing a fierce psychological struggle at this time, and in the end he still couldn't resist the temptation, turned on the camera function of the mobile phone again, and began to shoot the manuscript of Ning Xiao's calculation page by page......
As a mathematician, he certainly knew how precious these manuscripts were to a particular person. These formulas and theorems that Ning Xiao uses casually may be able to save a top mathematician from many years of detours.
It's as if before Newton, no one knew the formula of gravitation, let alone how to prove it, and naturally it was difficult to calculate the corresponding problems, such as the attraction between the moon and the earth. But after Newton, a high school student only needed a few lessons to deduce the formula of gravitation on his own, and easily solve the problems that caused headaches for scientists hundreds of years ago.
The promotion of human civilization by great scientific men is reflected here. Let the difficult problems be simplified, and those abstract natural phenomena will be realized.
Soon, Dominit finished taking all the manuscript papers, and his eyes turned to the computer that Ning Xiao was placing on the desk, and a hesitant look appeared on his face again......
"Meow ......"
The sudden meow of a cat in the room interrupted Dominit's inner struggle, and in fact the Harvard professor was so frightened that his phone almost fell to the ground.
Subconsciously turning her head to look at the kitten standing in the corner of the wall, staring at him with big innocent eyes, Dominit suddenly felt her face heat up. He had forgotten that there was a cat in the room who had witnessed what he had just done.
Wait, cats can't talk.
OK......
But the interrupted Dominit really didn't have the courage to reach for the computer on the table, so she hurriedly put the phone back in her pocket, hung her head, walked around the kitten, and walked to the door.
Hey? He didn't seem to close the door when he entered......
Forget it, I don't care about it so much.
Standing in the doorway and listening, there seemed to be no movement in the hallway, and Dominette opened the door and walked out.
The openness that I had just walked into the room was gone.
He had to hurry back to his dormitory to figure out what the piece of paper with a few sentences written in Chinese was said on the piece of paper taken on his phone.
Of course, he's definitely going to spend more time on those formulas.
God......
Dominit only felt ashamed when she thought that she had told Ning Xiao that day that she would become his teacher......
Perhaps, it could be the other way around? If Ning Xiao is also willing.
……
Hilton Santa Clara, San Francisco, Silicon Valley, USA.
At 8 p.m. in the U.S. daylight saving time, the medium-sized conference room provided by the hotel sat senior technical officials from Cisco and Google, but the main seats were the well-known mathematicians and computer scientists invited by the two companies from universities and research institutes at great expense.
Of course, these well-known experts are not like Obote Relo, most of them come from top universities or research institutes, and they have great prestige in the academic community. These people were invited for the simple purpose of studying the source code of the turbulence algorithm.
It may take only a few skilled programmers to rewrite the code, but it takes these serious scientists to study the source code that Ning Xiao uploads to the forum. Although the rewriting of the code has already been completed, and even successfully applied for a patent.
Especially for Cisco, before purchasing the patent, it has arranged for the foundry to start producing the relevant equipment, and organized after-sales technicians to start learning the parameter adjustment of the software turbulence algorithm. But to be cautious, both companies wanted to fully understand how the software works.
This involves not only real technical security, but also more small and targeted updates that can be carried out after the technology encounters problems in the future.
Therefore, when the efficiency of internal research was still not satisfactory, the two companies unanimously decided to spend more money and invite more experts from outside to do this together. This is not difficult for both companies.
First, although it is not honorable, they really give money, and they can give a lot;
Second, as long as the code for studying turbulence algorithms in private does not affect the prestige of these scholars if it is not publicly disseminated, ordinary people will not care about it;
Third, whether it is a university professor or a researcher at a research institute, they have a complementary relationship with these large companies. For these well-known experts, everyone will have a time when they need to invest in a project, and it is naturally best to have a good relationship with these large companies.
So every week during this time, there will be such internal meetings in the hotel, where the two sides will come together to communicate the results of the research on the turbulence algorithm.
Sitting at the oval conference table at this time was Conan Lamar, a senior researcher in the School of Computer Science at Berkeley, a world-renowned computer and mathematics expert, winner of the 2007 Turing Award, and many creative achievements in artificial intelligence decision tree algorithms. Many of the key technologies of Google's search engine, including the current one, were developed based on the theory of this computer scientist.
"During this time, I worked with Professor Esrich to classify these codes according to the functions they implement, and summarized nine formulas and corresponding function configurations, as shown in the figure."
After a few clicks on the computer, Conan Lamar projected the contents of the laptop on the large screen behind him.
"We can believe that these nine formulas, and their final results, are the key to realizing the various functions of the algorithm, and even by cracking the meaning of these formulas, we can thoroughly understand the creative ideas and thoughts of the algorithm authors, and thoroughly understand the algorithm. Unfortunately, for the next three days, our research on these formulas got bogged down. ”
"These are formulas that we've never seen before. Taking Equation 1 as an example, it is clear that it should be applied to crepa for surface singularities
t dissolve. As we all know, the difficulty is that the singularity of this kind of surface is to calculate the Hurwitz-Hodge integral, but by applying this formula, we find that we can easily get the relevant results, which is a great formula, but the problem is that we don't understand the meaning of inserting this formula in the algorithm. ”
At this point, Conan Lamar moved his stool, and his expression became more serious.
After thinking for a moment, he continued: "Most of the other formulas are similar to each other, and you can record these formulas and function configurations. I think the next step is to focus on understanding and proving these formulas, and thinking about how they enable algorithms to do these things. In addition, our research has found that if the mathematical structure of the turbulence algorithm is followed, there may be more than what is currently understood. Or that the capabilities of the algorithm are underestimated......"
As soon as these words fell, someone raised their hands.
Conan Lamar glanced at the other party, saw that it was Cisco's chief technology officer, Myren Kermit, nodded at him, and motioned for him to speak directly.
"Professor Lamar, when you say that the algorithm's ability is underestimated, do you mean that the algorithm itself still has the ability to be hidden, or does it mean that the algorithm author is ...... when programming? Well, by all sorts of means, did some tricks? For example, "
It's probably not a big deal for Conan Lamar, but it's too big for Myron Kermit, and it's about his job.
Conan Lamar gave the CTO a deep look, then simply shook his head and said, "I don't know, in fact, what I want to say is the intelligence of the software itself." Based on my analysis of these formulas these days, as well as some of the code variables, the decision-making process as the whole algorithm works is interesting. ”
Speaking of this, Conan Lamar showed a hesitant look on his face, and then shook his head and said: "The working mode of the algorithm has the shadow of artificial intelligence, but its decision-making mode is not some of the methods we know now, such as artificial neural networks, Bayesian, decision trees, hierarchical clustering, association rule learning, etc., or the author has integrated these into it through these formulas...... I don't know, because I still can't understand the formulas. ”
Everyone in the meeting began to look at each other.
When a top boss in the industry analyzes these algorithms and even arranges a series of formulas, but still finds nothing, it is somewhat frustrating.
As if sensing that the atmosphere in the conference room was not right, Conan Lamar immediately added: "Well, ladies and gentlemen, although we don't understand these formulas for the time being, maybe there are omissions in them, and we still have time to continue to study them. In fact, our work has been fruitful. I have a feeling that when we can prove all these formulas, we can crack the whole algorithm. ”
Meetings go into garbage time for mutual discussions.
Actually, there's really not much more to say.
The results of the research in the past month have been to set up nine formulas, and these formulas have not yet been solved.
If you really want to talk about it, this is like the creator's ridicule of the scholars Chi Guoguo: "I have clearly made the code public and put it in front of you, but you can't analyze the truth and truth." ”
This is actually the same as Einstein who made the formula of the theory of relativity public, Schrödinger who designed the cat that does not live and die, and Ramanujan who wrote thousands of formulas, but most of his contemporaries could not understand it......
It seems that some people's talent is so helpless, and the dimensionality reduction blow that transcends the times will always make the scholars of the same era feel all kinds of helplessness easily. It's like a war between gods and immortals, in which mortals cannot participate.
……
Soon the meeting ended in discussion.
The formula developed by Conan Lamar was emailed to everyone who participated in the meeting.
That's what everyone is going to focus on.
After the meeting, Conan Lamar stopped Myron Kermit, Cisco's chief technology officer, who was leaving.
"Mailun, delay you for a few minutes, we need to talk."
The two are alumni of Berkeley and have known each other for a long time.
In fact, this time Conan Lamar will lead the entire cracking team, which was the first suggestion given by Myron Kermit.
"Well, something very important?" Myron Kermit asked, and Conan Lamar's serious expression made him feel a little uneasy.
"Very important." Konan Lamar nodded.
"Going for a drink?"
"Come with me."
……
The Hilton Santa Clara has both meeting rooms and a bar.
Finding a corner table and sitting down, Conan Lamar ordered two glasses of Hilton's signature cocktail, Blue Hawaii, and took the initiative to take out two ten-dollar tips to pay a lot of tips, picked up the glass and took a sip, then said to Myron Kermit: "Cisco devices that use the so-called extreme security algorithm are already on sale?" ”
Mairen Kermit nodded and said: "It is said that many contracts have been signed in many markets in Europe and the United States, and I don't know the details of the specific contracts, but I know that the relevant departments of the company are currently planning a new network layout and equipment replacement plan for the New York Stock Exchange, which is probably the most important order at present." In addition, there is internal information that we recently grabbed a large order from Samsung, and their previous partner was Huaxia's Youwei Group. ”
Conan Lamar looked a little hesitant, and said after a moment: "Mywheel, do you think it is possible to persuade the company's board of directors to temporarily abandon the plan for laying new equipment and postpone it for a while?" At least until we understand the math and code structure. ”
Myron Kermit's brow furrowed, he certainly understood what Conan Lamar meant, but he only shook his head slowly.
"Impossible, Conan, the Board of Directors is unlikely to agree. Last week, the development department has refined the new design, the orders have been placed, and our Texas factory, our India factory has placed a large number of orders to the global supply chain, and those co-packs. Not to mention the contracts that have already been signed. If you stop suddenly at this time, the company will suffer huge losses, and no one can afford to bear the loss that no one wants to be responsible for. ”
Conan Lamar was silent, picked up the wine glass again, took a sip, looked at Myron Kermit seriously, and suggested: "Then, Myron, resign, find a reason to resign as soon as possible, get out quickly, I recommend you go back to the school to be a respected professor, don't stay in this position." ”
Myren Kermit was stunned for a moment before he reacted and asked, "Conan, this is not like what you said, are you really pessimistic to this extent?" Isn't there progress in your work all the time? Including today's inverted formula ......"
Conan Lamar tugged at the corners of his mouth, showed an extremely ugly smile, and said, "Mailun, this is not pessimism, but reality, do you understand?" I can feel that there is some wonderful mathematical logic behind this code, and I am sure that it will be solved in the end, but it will take time! It takes a long time! And this time is likely to be calculated in years. ”
Myren Kermit took a deep breath and then gave his own advice: "What if you increase the number of people? Expand your team to include more scientists? I think it's going to make it more efficient, maybe ......."
"It's useless, even if you can invite all the top ten professors in the United States, it's useless!"
Conan Lamar directly interrupted Myrlenkmitt's words, then shook his head and said, "You only focus on specific technical details, and you don't do theoretical research for a long time. You don't understand the difficulty of this. These problems are no longer something that can be shortened by manpower alone. It's as if at least thousands of mathematicians around the world are studying Cochai, but are there any results now? ”
Myron Kermit obviously disagreed with this sentence and retorted: "But Guess it's different from these, right? ”
Konan Lamar sneered, "Why do you think it's different? Is there a difference between high and low mathematical ideas of the same author? In addition, let me ask you, what we are studying now is only what people generously show us to see, and it may take us years to decipher this part of the content to understand the author's true thoughts, so what about the content that he deliberately hidden? ”
This rhetorical question suddenly left Myren Kermit speechless.
Conan Lamar picked up the glass, drank it down, then stood up and said to his friend who was still sitting across from him, "Mailun, we are friends, that's why I will give you this advice, resign as soon as possible." At the latest, the day after tomorrow, I will find a reason to leave the group. Not only because I don't want to get a lot of commissions for nothing, but also because I don't want to be associated with the authors of the algorithm in this way. Some geniuses, they really can be unreasonable. ”
Subsequently, the expert in mathematics and computer science summed up in a very positive tone.
"Because what they say is the truth."
……
Huaxia, Beijing, Xixiang Sibida Extracurricular Tutoring Center.
This is exactly the extracurricular tutoring center recommended by Chen Yonggang to Ning Xiao, although it is not well-known, incomparable with those listed group companies, and only focuses on offline tutoring, but in fact, the scale of the tutoring center is not small.
It has three floors of commercial apartments with more than 20 classrooms and 12 student dormitories.
After Ning Xiao's visit, he borrowed the office of one of the center's admissions directors to meet with Ding Yulin.
What makes Ning Xiao happy is that although his grades are not good, Ding Yulin does not have the hypocrisy of an ordinary girl, at least he seems to have come out of his grief, and he does not have too much pessimism and depression when he sees him, on the contrary, he is even restraining a little excitement.
"Brother."
"Well, sit."
Ning Xiao pointed to the stool opposite him like a teacher.
Ding Yulin sat in his position obediently.
"I communicate with your teacher once a week, and your performance has been good in the last week, and the teacher said that you can basically pass several major subjects."
As soon as I came to talk about my academic performance, it was obvious that this half-old girl was still a little disappointed, so she just pouted and nodded.
"Progress is commendable, but not enough. I'm not going to help you make the decision, you can choose your own path in the future, and my student status has been transferred to the capital. Now you have two choices, go to a general junior high school, and continue to go to the second year of junior high school according to the previous plan; The other is to choose a good junior high school, but start from junior high school all over again. Which do you choose? ”
Ding Yulin thought for a while, looked up at Ning Xiao and asked, "But is there a good junior high school willing to accept me?" And it seems like school has already started. ”
Ning Xiao was very pleased, at least this sister was self-aware.
"It's not something you're considering, since I've asked you, I'm sure I'm sure."
"Then I'll start all over again from the first year of junior high school." Ding Yulin muttered and replied.
Ning Xiao nodded, then stood up and said, "Go and pack your things, and I'll arrange a new place for you." Next, you'll need to get ready for school. ”
"Then I'm going to say goodbye to Mr. Su first?"
Ning Xiao thought for a while and said, "I'll go with you." ”
……
“…… Yulin is actually very obedient, but she probably belongs to the kind of person who is not naturally sensitive to mathematics, but she has a good memory, especially the sense of language is actually very good, and she can keenly read the feelings contained in the text, and it is recommended that she develop in the direction of liberal arts in the future. ”
Ding Yulin was taught by a retired female teacher in her sixties, who spoke slowly and clearly. Ding Yulin said goodbye to the teacher and went to pack his luggage, but this Teacher Su stopped Ning Xiao and patiently analyzed Ding Yulin's learning situation.
"Thank you, Mr. Su." Ning Xiao thanked him very sincerely.
"It is also very important that Yulin, this child, is very talented in languages, and her English is improving very quickly, especially in spoken English. When it comes to promoting her interest by watching movies and listening to various English programs, Yulin shows great potential. In addition, in order to test her language learning ability, I also arranged some Japanese lessons for her in my spare time, and she completed it very well. If there are opportunities and conditions in the future, we should focus on cultivating them in this area. ”
Hearing these words, Ning Xiao suddenly discovered how lucky she was to have an excellent, responsible and experienced enlightenment teacher.
After all, taking the initiative to tap the advantages of students is something that Ning Xiao has never experienced in his education.
However, thinking of this one-to-many tutoring model, Ning Xiao was relieved again.
How many children in this world can enjoy this kind of full-day tutoring in a tutoring facility with a teacher alone and patiently?
When a teacher only needs to deal with one student, and the teacher happens to be very responsible, the strengths and weaknesses can indeed be explored.
……
Ning Xiao directly brought Ding Yulin to Yanbei University.
He planned to let Ding Yulin live with Ning Xiao temporarily.
If the dormitory provided by the school is not big enough, then I should talk to Fan Zhenhua about whether we can make the dormitory bigger.
Regarding the question of Ding Yulin's reading, he planned to find Professor Fang Xu to find a way.
Ning Xiao didn't think that this was wool, but an equivalent exchange.
Fan Zhenhua had promised that the arrangement of Ning Xiao would definitely satisfy the sister and brother, and the accommodation arrangement would of course also be included.
After Ning Xiao published his paper, Professor Fang sincerely said many times that Ning Xiao must find him if he wants help in the future. This time, it was just in time to meet Professor Fang's request. Whether it's logic or reason, it's definitely no problem.
The only thing he didn't expect was that Dominit Duncan would go to him while he was dealing with Ding Yulin's problem, and he would go into his room and be full of interest in the handwritten words of his manuscript......