The end of technology.

Chapter 89 Math Is So Unreasonable
The phone was hung up amidst Lu Zhengyue's arrogant and schadenfreude laughter.

Fan Zhenhua's mood became inexplicably bad.

Although the joys and sorrows of human beings are not connected, Fan Zhenhua is very clear that the sorrows and joys between the two are connected 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 he 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?
Which serious mathematician would go to "Nature" to read a paper when he had nothing to do?
I wanted to ignore Lu Zhengyue and laughed it off, but after all, I couldn't help but feel curious, turned on the computer, and logged into the official website of "Nature".

Ok……

Quite conspicuous.

Obviously, the name of Ning Zhi is still a hot topic in the academic circle.The paper went directly to the home page, with large fonts, but the content made him a little incomprehensible, so the lightning was controlled manually?Nice, great idea.

Soon Fan Zhenhua knew why Lu Zhengyue was so happy.Because there is only Yanbei Sports University in the signature of the author's unit of the paper, and even the Department of Mathematics did not bring it.

In fact, if there is no call from Lu Zhengyue, Fan Zhenhua will probably just laugh and forget, after all, the paper itself is not related to mathematics.

But being called by Lu Zhengyue's call made him a little angry.

So before he could read the paper, he took out his mobile phone and dialed it directly to Chen Yonggang.

It was impossible to tell Ning Yu about this, but it was an agreement between him and the university.

As soon as the call was connected, Fan Zhenhua asked unceremoniously, "Hey, Principal Chen, I just saw Ning Ruo published a paper on Nature. You should know about it, right?"

"Ah, I know, what's wrong?"

Hearing that there was no shame at all, Fan Zhenhua became even more upset, and asked, "What's the matter? Why is the only author's unit left? , if you play with me like crossing the river and tearing down the bridge, don't blame me for being unethical!"

"No, Academician Fan, have you misunderstood? I have shown the contract directly to Ning Ruo, how could I have not mentioned it? But the contract is clearly written in black and white, and all mathematics papers published by the mathematics major of the University must be The Yanbei International Mathematical Research Center is a unit of Peking University's School of Mathematics, but this paper by Ning Zhi is not a mathematical paper, right?"

Fan Zhenhua was stunned for a while, his momentum suddenly weakened a little, and he frowned and asked, "Do we have an agreement that it must be a mathematical paper?"

He really didn't pay attention to these details. After all, he only roughly explained the premise of cooperation at the time, and he did not participate in the formulation of the specific contract terms.

"Look at what you said, the contract is in triplicate, isn't it only our body that has it? You also have it there. If you look it up, you'll know?"

Fan Zhenhua remembered that there was the final draft of the contract on the computer, and said, "Wait a minute..."

Then, he began to find out the contract that he had asked an old friend from law school to help him draft on the computer. After looking at it carefully, he quickly found the terms of the other party's obligations. It was exactly as Chen Yonggang said...

"...Well, Principal Chen, I'm blaming you all wrong. I'm sorry, let's do this first." Fan Zhenhua hung up the phone after speaking.

My heart is very suffocated, but I don't know how the fire is going out.

In fact, a paper in "Nature" is nothing, but some papers carry the name of Yanbei University, and some do not. What do foreign academics think?How do you explain to your colleagues when you go abroad for meetings in the future?

No wonder Lu Zhengyue would make a special call.

On this last day of August, Fan Zhenhua suddenly felt that he needed to have a good talk with Ning Ruo.

……

Yanbei, the body is big.

For Ning Yu, 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 time spent outside activities can also be increased accordingly.

Of course, if there is something really wrong with Ning Yu, March will not force Ning Yu to stay in the dormitory to continue studying. Kindly help him make up the time.

In this sense, March appears both very human and completely inhumane...

It was like today, Ning Yu had to go out again.

School is about to start, he has to visit Ding Yulin and check his sister's learning results for more than a month.

Of course, he didn't actually ignore Ding Yulin at all these days. He added the tutor's WeChat account, and the two communicated several times a week. In fact, he knew about Ding Yulin's learning progress.

Anyway, there is still a lot of progress.

At least the exam questions of general difficulty have been passed, which is obviously far from Ning Ruo's point of view.

After all, the knowledge points learned in the entire compulsory education stage are actually very difficult. If the test scores for the knowledge points in the textbooks can only be passed, there is basically no high school that can be entered after graduation.

So Ning Ruo planned to talk to Ding Yulin. He hoped that this younger sister could read the first year of the first year in Beijing again and lay a solid foundation.Delaying a year to the second year of junior high school can achieve excellent results in every subject.

Yes, learning is never the only way out in life, but for the vast majority of people, learning is the only way to change the future from survival to life.

In addition to taking a look at Ding Yulin, when he came back, Ning Yu planned to go to Yanbei University to take a look at his cousin.

Ning Xiao had returned to school yesterday and was ready to take up his post.

Speaking of which, Yanbei University had already arranged accommodation for her last year, but he hadn't gone to see it yet.I just happened to take a look today, and by the way, I asked how Ning Xiao's relationship with that teacher Lu was - he was not very worried about the neighbor next door.

Also on this day, Dominette Duncan walked out of the hostel prepared for him for the first time after coming to Huaxia for nearly half a month.

He was going to find Ning Yu.

Many people in many European countries that still retain royalty still retain their faith in chivalry.It just so happens that Dominette Duncan is one of them.

He wanted to tell Ning Yu that he would enter a world-class problem and pick that bright pearl.

Just like before a duel, to tell the other party if they are ready, it belongs to a sense of ritual that can be satisfied in the heart.

Win, but also win aboveboard!

It may give people a sense of two, but the right path in the world is vicissitudes.

……

Because he went to find Ning Yu on the first day, he remembered very clearly where Ning Yu lived.Generally speaking, mathematicians have a very good memory, and for a genius like Dominette, his sense of direction is as powerful as his spatial imagination.

After leaving the guest house in this way, he quickly found the doctor's building where Ning Yu lived.

The heat on the Internet has dissipated, and the west side has applied for a patent, and there are no more people who come to bother Ning Ruo.However, Chen Yonggang did not say that the security of the doctor's building was removed. The security booth at the entrance is still there. It is even said that plans to build a fixed pavilion have already begun, but the people have already changed a lot, and the management has not been as good as before. strict.

So Dominette Duncan walked into the doctor's building after informing him of his status as an exchange professor, came to the door of Ning's dormitory, and knocked on the door.

No movement, no, movement...

There was a noise at the door, and a cat meowing was vaguely heard...

"Meow……"

Dominite frowned, subconsciously raised his hand to the anti-theft door handle, twisted it directly, and turned it...the door was not locked.

With Dominite's personality, he really couldn't do anything that his master would rashly break into when he wasn't at home.

After all, he was a man who claimed to be chivalrous.

But today, there was no one in the corridor at this moment, and he pushed open the door directly, and then saw that there was indeed a cat lying on the only writing desk in the bedroom, looking up at him.

Those little eyes are quite divine.

However, Dominette's eyes did not stop on the kitten, but turned his attention to a mess of manuscript papers and computers spread out on the table.He doesn't like small pets since he was a child, and his favorite animal is cow, 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 China this time, he finally couldn't stand the temptation of those papers. After hesitating for more than half a second, he raised his legs. Walking into the room, it was just the moral sense of the bottom line in his heart that he did not close the door smoothly.Instead, leave the door open like that...

At least this proves that he is open-minded - breaking in.

Walking to the chair at the writing desk in the bedroom and sitting down, Dominette picked up the top stack of manuscript paper from the kitten.

The 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, and just focused on the mathematical formulas on the manuscript paper.

It was only after the first glance that I couldn't move my eyes.

This is to study the effect of the properties of the L function on the period, no, this formula - he doesn't seem to understand.

Even though there were many messy proofs written on the manuscript paper, he still couldn't understand it.

Dominette swallowed subconsciously and turned to the next page. Fortunately, this time it was about the function of the index, which is very important in mathematics, and it is also the most basic function.It's impossible to play this kind of topic... Wait, what is this?
General formula?

Deriving an infinite series of arbitrary exponential functions is of course extremely simple for Dominette, and he can do it in an infinite number of ways.But this formula, which he had never seen before, seemed to make everything easier.

After silently checking in my mind, the results are all correct, but what about the proof process of this formula?How is this derived?
Dominette didn't even realize that there was a fine layer of sweat on his forehead, he couldn't read it, but he was shocked.

change to the next one...

Wait, this is reaffirming the Sato-Tate conjecture?

Subconsciously swallowed, Dominette immersed himself in it, and a bunch of formulas he had never seen before appeared, and these formulas always appeared exactly where they were needed.Especially about the analytical part of the L function, the L function that gives the feeling of a mathematical ghost, under these formulas he has never seen before, becomes like a docile lamb, including those special values...

In this way, when Dominette was completely immersed in the messy papers used for calculations, he didn't notice that the kitten was very thoughtful and helped him close the door, as if he was afraid that someone would suddenly break in and disturb him.

What he didn't even notice was that the kitten was lying on the corner of the wall, tilting its head, staring at him with his brows furrowed and focused with interest.You can even see human-like emotions from 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 he sees Dominite who is estimated to be at this time, he will not feel it.

Because those seemingly messy calculations and proofs have exhausted all his brain power.

Just the constant calculations in the bottom of his heart have left him no time to care, and he has even forgotten where he is and the passage of time.

Until I unknowingly, I turned to the last sheet of the stack of manuscript papers. There was no formula on it, and only a few sentences were written.But it was written in Chinese, which Dominette Duncan couldn't read.

Dominite was stunned for a while, and at this moment a name came to his mind - Ramanujan.An extremely talented Indian mathematician, he left thousands of mathematical formulas in his short but brilliant life.

Those formulas are so beautiful, it's hard to understand.

So much so that when a mathematician proved one of the formulas, he directly won the Fields Medal.

At this time, these formulas written by Ning Zhi on the manuscript paper have the same effect.

Although I can't read it, it seems to be correct if I bring some simple numbers in.

But obviously, if you want to prove these formulas, it will be very difficult.

There is no proof process for these formulas on the manuscript, and Dominite even suspects that Ning Yu himself has not proved these formulas, just a mathematical intuition.But if this is the case, then this mathematical intuition and talent...

Suddenly Dominette Duncan would rather have the full proof process for these formulas.

But if these Ning Zhi really have the complete proof process of these formulas, it is no exaggeration to say that if Ning Zhi releases the proof process of these formulas, according to the current selection criteria of the Fields Award, he can get ten multiple times...

In other words, Dominette felt that the top mathematics awards in the world now did not match the mathematical attainments that Ning Yu had not shown.

Yes, the Fields Medal is not worthy of Ning Zhi.

The key is that Ning Zi is only 20 years old!
Originally, Dominette thought that Ning Zhi was a mathematician who loved performance, 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 Ning Ruo is the expression of love?Simply understated and outrageous.

Because if this young man really wants to write papers, he can probably write more than ten papers in the top mathematics journals in a month.

Never in his life has the young Harvard math professor, who has had a smooth life, been more discouraged than he is today.

Because more than a dozen A4 manuscript papers have shattered his once proud talent.

At the same time, Dominette suddenly burst into a strong curiosity, and he eagerly wanted to know what Ning Ruo said on the manuscript paper with a few lines of Chinese.

So he put the manuscript paper back on the table, took out his mobile phone, and directly photographed the words.

After the filming, Dominette's eyes still lingered on the stack of manuscript papers. From the tangled expression, it can be seen that this guy was doing a fierce psychological struggle at this time. In the end, he still couldn't stand the temptation and turned the phone again. The camera function is turned on, and the manuscript of Ning Yu's calculus is photographed page by page...

As a mathematician, he certainly knew how precious these manuscripts were to certain people.The formulas and theorems that Ning Zhi used at hand might save a top mathematician from detours for many years.

It is as if before Newton, no one knew the formula of universal gravitation, let alone how to prove universal gravitation. Naturally, it is 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 for universal gravitation, and easily solve the problems that caused scientists hundreds of years ago to be a headache.

It is here that the great men of science promote human civilization.Simplify difficult problems and materialize abstract natural phenomena.

Soon, Dominette finished shooting all the manuscripts, and turned his eyes to the computer that Ning Ruo placed on the desk again, with a hesitant look on his face again...

"Meow……"

The cat meowing suddenly sounded in the room, interrupting Dominette's inner struggle. In fact, the Harvard professor was so frightened that his whole body almost fell to the ground.

Subconsciously turning his head to look at the kitten standing in the corner, staring at him with innocent big eyes, Dominette suddenly felt his face heat up.He had forgotten that there was a cat in the room who had seen what he had just done.

Wait, cats can't talk.

fine……

It's just that Dominite, who was interrupted, really didn't have the courage to reach out to the computer on the desktop, so he hurriedly put the phone back in his pocket, bowed his head, bypassed the kitten, and walked to the door.

Huh?The door didn't seem to be closed when he came in...

Forget it, don't care about that much.

Standing at the door and listening, there seemed to be no movement in the corridor, and Dominette opened the door and walked out.

The magnanimity that had just entered the room was gone.

He wants to hurry back to the dormitory and figure out what the paper with a few words in Chinese on the phone is saying.

Of course he will definitely spend more time on those formulas.

God...

Dominite only felt ashamed when he thought that he had told Ning Ruo that day that he would become his teacher...

Maybe the other way around?If Ning Yu is also willing.

……

United States, San Francisco, Silicon Valley, Hilton Santa Clara Hotel.

At [-]:[-] p.m. U.S. daylight saving time, senior technical officers from Cisco and Google were seated in the medium-sized conference room provided by the hotel, but those who were seated were invited from universities and research institutes at great cost by the two companies. Well-known mathematician and computer scientist.

Of course, these well-known experts are different from Obote Laylow. Most of them come from top universities or research institutes, and they have great reputation in the academic world.The purpose of these people is also very simple, to study the source code of the turbulence algorithm.

Rewriting the code may only take a few skilled programmers, but researching the source code that Ning has uploaded to the forum requires these serious scientists.Although the rewriting of the code has already been completed, it has even successfully applied for a patent.

Especially for Cisco, before purchasing the patent, the foundry has been arranged to start producing related equipment, and after-sales technicians have been organized to learn the parameter adjustment of the software turbulence algorithm.But to be cautious, both companies still want to fully understand how the software works.

This not only involves real technical security, but also involves more effective and targeted updates after future technology encounters problems.

Therefore, when the efficiency of internal research was still unsatisfactory, the two companies reached a consensus after communicating and decided to spend more money and invite more experts from outside to do this together.This is not difficult for both companies.

As a result, although it is disgraceful, they are really giving money, and they can give a lot;

Second, as long as the code of turbulence algorithm is studied in private, as long as it is not publicly disseminated to damage the reputation of these scholars, ordinary people will not care about it;

Third, whether it is a university professor or a researcher in a research institute, they and these big companies have a complementary relationship with each other.For these well-known experts, everyone will have a good relationship with these big companies when they have completed the project and need to invest. Naturally, it is the best.

So during this time, there will be such internal meetings held in the hotel every week, and the two sides will communicate with each other about the research results of turbulence algorithms.

Sitting at the oval conference table at this time, Conan Lamar, a senior researcher at the School of Computer Science at Berkeley, is a world-renowned computer and mathematics expert and the 2007 AM Turing Award winner. There are many creative achievements in decision tree algorithms.Many key technologies, including Google's search engine, are developed based on the computer scientist's theory.

"During this time, I worked with Professor Ethridge to classify these codes according to the functions they implement, and summed up nine formulas and corresponding function configurations, as shown in the figure."

After Conan Lamar worked a few times on his computer, the big screen behind him projected what was on his laptop.

"We can believe that these nine formulas and their final results are the key to realizing the functions of the algorithm, and even by deciphering the meaning of these formulas, we can thoroughly understand the creative ideas and thoughts of the author of the algorithm, and thoroughly understand the algorithm. Unfortunately, for the next three days, our research on these formulas was bogged down."

"These are formulas that we have never seen before. Taking formula [-] as an example, it is obvious that its scope of application should be the crepant solution for surface singularities. I believe everyone knows that the difficulty is that such surface singularities are currently difficult to solve. The point solution is to calculate the Hurwitz-Hodge integral, but applying this formula, we found that we can easily get the relevant results, this is a great formula, but the problem is, we don’t understand the meaning of inserting this formula in the algorithm.”

Having said that, Conan Lamar moved his stool and his expression became more serious.

After thinking for a while, he continued: "Most of the other formulas are similar, and you can record these formulas and function configurations. I think the focus of our work next is to understand and prove these formulas to think about them. How to make the algorithm realize these functions. In addition, our research found that according to the mathematical structure it parses, the functions of the turbulence algorithm may be more than what everyone knows now. Or the ability of the algorithm is 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, Myron Kermit, and nodded at him, motioning him to speak directly.

"Professor Lamar, when you say that the algorithm's ability is underestimated, do you mean that the algorithm itself has the ability to be hidden, or that the author of the algorithm... um, did some tricks through various means? For example"

It's probably not an important issue for Conan Lamar, but it's too important for Milen Kermit, and it's about his job.

Conan Lamar took a deep look at the chief technology officer, then shook his head simply and said: "I don't know, what I actually want to say is the intelligence of the software itself. According to my understanding of these formulas these days , as well as some analysis of the code variables, the decision-making process of the whole algorithm when it works is very interesting.”

Having said 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 intelligence. Neural Networks, Bayesian, Decision Trees, Hierarchical Clustering, Association Rule Learning, etc., or the author incorporates these formulas... I don't know, because I still can't understand these formulas so far ."

Everyone at the answering meeting began to look at each other.

It is somewhat frustrating when a top industry leader analyzes these algorithms and even arranges a series of formulas, but still finds nothing.

It seemed that the atmosphere in the conference room was not right, and Conan Lamar immediately said: "Okay, ladies and gentlemen, although we don't understand these formulas for the time being, there may be omissions in them, and we still have time to continue to study them. The fact that our work is very productive. I have a feeling that when we can prove these formulas, we can crack the whole algorithm.”

The meeting entered into a garbage time of mutual discussion.

Actually there is really nothing to say.

The result of nearly a month of research is that nine formulas have been set, and these formulas have not been cracked.

Really speaking, this is like the creator's mockery of the scholars Chi Guoguo: "I have clearly disclosed the code and put it in front of you, but you can't analyze the truth and truth."

This is actually the same as Einstein's publicizing the formulas of relativity, Schrödinger's design of the cat that lives and dies, and Ramanujan writing thousands of formulas, but most scholars of the same era can't understand them...

It seems that some people's talents are so helpless, and the dimensionality reduction blow beyond the times will always make contemporary scholars feel all kinds of helplessness easily.It's like a war between gods and mortals can't participate.

……

The meeting soon ended in discussion.

The formula developed by Conan Lamar was emailed to everyone involved in the meeting.

This is the focus of everyone's next work.

After the meeting, Conan Lamar stopped Cisco CTO Myron Kermit, who was about to leave.

"Malun, I'll take you a few minutes, we need to talk."

The two are Berkeley alumni and have known each other for a long time.

In fact, this time Conan Lamar to lead the entire cracking team was the first suggestion given by Milen Kermit.

"Well, something important?" Myron Kermit asked, and Conan Lamar's serious expression made him feel a little uneasy.

"Very important." Conan Lamar nodded.

"Going for a drink?"

"I thought about it with me."

……

Hilton Santa Clara Hotel not only has meeting rooms, but also bars.

After finding a corner table and sitting down, Conan Lamar ordered two of Hilton's signature cocktails - Blue Hawaii, and offered two ten dollars for a generous tip, then took a sip from the glass. After that, he said to Myron Kermit: "Cisco's equipment that uses the so-called extreme security algorithm has already started to sell?"

Myron Kemit nodded and said: "It is said that many contracts have been signed in many European and American markets. I don't know the specific contract details, but I know that the relevant departments of the company are currently planning a new network layout for the New York Stock Exchange. The equipment replacement plan is probably the most important order at the moment. In addition, there are internal sources that we have recently grabbed a large order from Samsung Telecom Italia Group, and their previous partner was Huaxia Youwei Group. "

Conan Lamar looked a little hesitant, and said after a moment: "Millen, do you think it is possible to persuade the company's board of directors to temporarily abandon the laying plan of new equipment and postpone it for a while. At least we have to wait until we understand these mathematical formulas and code structure thoroughly. ."

Myron Kermit frowned. Of course he understood what Conan Lamar meant, but he just shook his head slowly.

"Impossible, Conan, the board of directors is unlikely to agree. Last week, the development department has perfected the new design, and orders have been placed. Our Texas factory and India factory have placed massive orders to the global supply chain. There are those foundries. Not to mention the contracts that have already been signed. If it suddenly stops at this time, the company will suffer huge losses, and no one can bear the losses and no one is willing to be responsible.”

Conan Lamar was silent, picked up the wine glass again, took a sip, looked at Milen Kermit seriously, and suggested: "Then, Milen, resign, find a reason to resign as soon as possible, get out quickly, I recommend that you go back to school and become a respected professor, not in that position."

Milen Kermit was stunned, and took a while to react, and asked: "Conan, this is not like what you said, you are really pessimistic to this point? Isn't your work progressing all the time? Including The formula introduced today..."

Conan Lamar twitched the corners of his mouth, revealing an extremely ugly smile, and said: "Millen, this is not pessimism, but reality, do you understand? I can feel that there is some wonderful mathematical logic in these codes. , I also believe that these problems will be solved eventually, but it will take time! It will take a long time! And this time is likely to be calculated in years.”

Myron Kermit took a deep breath, and then gave his own suggestion: "Then what if you increase the number of people? Expand the team to involve more scientists? I think this will definitely speed up the efficiency, maybe …”

"It's useless, even if you can invite all the top ten professors in the United States!"

Conan Lamar interrupted Mellen Kermit directly, then shook his head and said: "You only focus on the specific technical details and do not do theoretical research for a long time. You don't understand the difficulty. These problems have been It’s not just by manpower that can shorten the time. It’s like at least thousands of mathematicians around the world are studying Gocha, but is there a result now?”

Myron Kermit obviously disagreed with this sentence and retorted: "But Guess it's different from these, right?"

Conan Lamar sneered: "Why do you think it's different? Is there a difference between the mathematical ideas of the same author? In addition, I ask you, what we are studying now is only what others have generously shown us. Content, it may take us years to decipher this part of the content to understand the author's true thinking, so what about the content that he deliberately concealed?"

This rhetorical question made Milen Kermit suddenly speechless.

Conan Lamar picked up the glass, drank it all in one gulp, then stood up, and said to his friend who was still sitting across from him: "Myron, we are friends, so I will give you this suggestion, resign as soon as possible. The day after tomorrow at the latest, I will also find a reason to leave the expert group. Not only because I don’t want to pay a lot of commissions for nothing, but also because I don’t want to connect with the author of the algorithm in this way. Some geniuses, they can really not talk about anything reason."

Then, the math and computer expert made a conclusion in a very positive tone.

"Because what they say is the truth."

……

Huaxia, Beijing, Xixiang Speed ​​after-school tutoring center.

This is exactly the extracurricular tutoring center that Chen Yonggang recommended to Ning Yu. Although it is not well-known and cannot be compared with those listed group companies, and it only focuses on offline tutoring, the scale of the tutoring center is not small.

It has three floors of a commercial apartment, with more than 20 classrooms and [-] student dormitories.

After Ning Ruo's visit, he borrowed the office of an admissions director of the center to meet with Ding Yulin.

What made Ning Ruo happy was that even though his grades were not good, Ding Yulin didn't have the pretentiousness of ordinary girls. At least he seemed to have come out of his grief. When he saw him, he didn't have much pessimism and depression. Still holding back some excitement.

"elder brother."

"Well, sit down."

Ning Yu pointed to the opposite stool like a teacher.

Ding Yulin sat down obediently.

"I will communicate with your teacher once a week. Your performance has been good in the past week. The teacher said that you can basically pass several major subjects."

As soon as I came to talk about academic performance, it was obvious that this half-year-old little girl was still a little disappointed, she just nodded her head with a pouting mouth.

"Progress is worthy of recognition, but it's not enough. I'm not going to help you decide. You can choose your future path. I have transferred your student status to the capital. Now you have two choices. Go to a normal junior high school and follow the previous plan. Continue to go to the second year of junior high school; the other is to choose a good junior high school, but start from the first year of junior high school. Which do you choose?"

Ding Yulin thought for a while, then looked up at Ning Yu and asked, "But is there a good junior high school willing to accept me? And it seems that school has started now."

Ning Yu was very relieved, at least this younger sister had self-knowledge.

"This is not something you consider. Since I asked you, I must be sure."

"Then I'll start over from the first day of the new year." Ding Yulin replied murmured.

Ning Yu nodded, then stood up and said, "Go and pack your things. I'll arrange a new place for you. Next, you have to prepare for school."

"Then I'll go and say goodbye to Teacher Su first?"

Ning Zhi thought for a while and said, "I'll go with you."

……

"...Yu Lin is actually very obedient, but she probably belongs to the kind of person who is naturally insensitive to mathematics, but has a good memory, especially her sense of language is actually very good, and she can read the feelings contained in the text keenly. In the future, I would recommend her Develop in the direction of liberal arts.”

Ding Yulin was taught by a retired female teacher in her 60s who spoke slowly and clearly.After Ding Yulin said goodbye to the teacher, he went to pack his luggage. The teacher Su stopped Ning Yu and patiently analyzed Ding Yulin's study situation.

"Thank you, Teacher Su." Ning Ruo sincerely thanked him.

"Another important point is that Yulin is a child with great language talent. Her English has improved very quickly, especially her spoken language. When her interest is stimulated by watching movies and listening to various English programs, Yulin shows In addition, in order to test her language learning ability, I also arranged some Japanese courses for her in her spare time, and she completed it very well. If there are opportunities and conditions in the future, it should be in this regard Focus on cultivating.”

Hearing these words, Ning Yu suddenly realized how lucky it is to have an excellent, responsible and experienced enlightenment teacher.

After all, taking the initiative to explore the advantages of students has never been experienced in Ning Ruo's education career.

But thinking of this one-to-many tutoring model, Ning Ruo was relieved.

How many children in this world can enjoy this kind of full-time tutoring in tutoring institutions with teachers alone and patiently?

When a teacher only needs to face one student, and the teacher happens to be very responsible, the advantages and disadvantages can indeed be discovered.

……

Ning Ruo took Ding Yulin directly 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 just talk to Fan Zhenhua about whether the dormitory can be made bigger.

Regarding the question of Ding Yulin's reading, he planned to find a solution with Professor Fang Xu.

Ning Zhi didn't think that this was scouring the wool, but an equivalent exchange.

Fan Zhenhua had promised that the arrangement of Ning Xiao would definitely satisfy the siblings, and the accommodation arrangement was of course included.

After Ning Yu published the paper, Professor Fang sincerely expressed that Ning Yu must find him if he needs help in the future.This time it happened to meet Professor Fang's request.Whether it's logic or reason, there's definitely no problem.

The only thing he didn't expect was that when he was dealing with Ding Yulin's problems, Dominette Duncan would go to him, and with the help of March, he walked into his room and was full of the words written by his manuscript followers. interest……

(End of this chapter)