The End of Technology

The call was hung up amidst Lu Zhengyue's arrogant and gloating laughter.

Fan Zhenhua's mood became a little worse for no reason.

Although human beings' sorrows and joys are not the same, Fan Zhenhua knows very well that the sorrows and joys between the two are connected and inversely proportional.

To put it simply, if Lu Zhengyue is depressed, he will definitely be happy, but most likely he will not show it; but if he is depressed, Lu Zhengyue will not only be very happy, but will even take the initiative to call and laugh at her like crazy.

But what the hell does this have to do with Nature?

Which serious mathematician would go to "Nature" to read papers for nothing?

I wanted to ignore Lu Zhengyue and laugh it off, but in the end I couldn't help my curiosity, turned on the computer, and logged in to the official website of Nature.

Um……

Quite conspicuous.

Obviously, Ning Zi's name is still a hot topic in academic circles. The paper was posted directly on the homepage, in large font, but the content was a bit difficult for him to understand, so artificially control lightning? Not bad, very thoughtful.

Soon Fan Zhenhua knew why Lu Zhengyue was so happy. Because only Yanbei Sports University has the signature place as the author of the paper, not even the Department of Mathematics.

In fact, if Lu Zhengyue didn't call, Fan Zhenhua would most likely just smile and forget it. After all, the paper itself has nothing to do with mathematics.

But Lu Zhengyue's phone call made him a little angry.

So before he had time to read the paper, he took out his mobile phone and called Chen Yonggang directly.

He couldn't tell Ning Zi about this, but it was an agreement between him and Ti Da.

As soon as the call was connected, Fan Zhenhua asked unceremoniously: "Hey, Principal Chen, I just saw that Ning Zi published a paper in Nature. You should know about this, right?"

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

Hearing the tone of the other person who was completely devoid of any shame, Fan Zhenhua became even more upset and asked: "What's wrong? Why are the only authors who are retained by the university? We have signed a contract. Didn't you mention this to Ning Jie? Chen Yonggang , if you play the trick of burning bridges with me, don’t blame me for being unethical when you turn around!"

"No, Academician Fan, have you misunderstood? I showed the contract directly to Ning Zi, how could I not mention it? But the contract is clearly written in black and white. All mathematics papers published by the mathematics major of the National Sports University must be The Yanbei International Mathematics Research Center and Peking University School of Mathematics are units, but Ning Zi’s paper is not a mathematics paper, right?”

Fan Zhenhua was stunned for a moment, his aura suddenly weakened a bit, and he frowned and asked, "Do we have an agreement that it must be a mathematics paper?"

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

"Look what you said, the contract is in triplicate. Isn't it only our school that has it? You have it there too. Can't you find out after you check it out?"

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

Then he started to dig up the contract on the computer that he had asked an old friend from law school to help him draft. After reading it carefully, he quickly found the terms of the other party's obligations. It was just as Chen Yonggang said...

"...Well, Principal Chen, I wrongly blamed you. I'm sorry, let's leave it at that." After saying that, Fan Zhenhua hung up the phone directly.

I felt very suffocated, but I didn't know how to release the fire.

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

No wonder Lu Zhengyue made a special call.

On the last day of August, Fan Zhenhua suddenly felt that he needed to have a serious talk with Ning Zi.

…

Yanbei, big body.

For Ning Zi, the biggest benefit of completing the intensive basic mathematics training in March is that he has more time at his disposal every day and is freer. The time for outdoor activities can also be increased accordingly.

Of course, if something really happened to Ning Zi, Yue Yue would not use force to keep Ning Zi in the dormitory to continue studying. It was just that no matter how much time Ning Zi was wasted, March would find a way in the next period of time. I just kindly helped him make up for the time.

From this point of view, March appears both very human and completely inhuman...

Just like today, Ning Zi had to go out again.

School was about to start, and he had to go see Ding Yulin and test his sister's learning results for more than a month.

Of course, he did not ignore Ding Yulin completely during this period. He added the tutor's WeChat account and the two of them communicated several times a week. In fact, he was roughly aware of Ding Yulin's learning progress.

How can I put it, there is still a lot of progress.

At least he was able to pass the test questions of normal difficulty, which in Ning Zi's opinion was obviously still far behind.

After all, the knowledge points learned throughout the compulsory education stage are actually very difficult. If the test scores for the knowledge points in the textbooks are only passing, there will basically be no high school to attend after graduation.

So Ning Zi planned to talk to Ding Yulin. He hoped that this sister could study in the first grade of junior high school again in the capital and lay a solid foundation. By delaying one year to the second grade of junior high school, I can achieve excellence in every subject.

Yes, learning is never the only way out in life, but for most people, learning is the only way to transform survival into life in the future.

In addition to taking a look at Ding Yulin, Ning Zi also planned to go to Yanbei University to take a look at her cousin when she came back.

Ning Xiao returned to school yesterday and was ready to officially start work.

Speaking of which, Yanbei University had arranged accommodation for her last year, but he hadn't visited it yet. I just happened to take a look today and asked Ning Xiao how his relationship with Teacher Lu was going - he wasn't too worried about the neighbor next door.

It was also on this day that Dominic Duncan walked out of the guest house prepared for him by the school for the first time nearly half a month after arriving in China.

He planned to find Ning Zi.

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

He wanted to tell Ning Zi that next he would tackle a world-class problem and pick that bright pearl.

Just like asking the other party if they are ready before a duel, it is a ritual that can give you inner satisfaction.

To win, you must win in an honest way!

It may make people feel a bit immodest, but the right path in the world is the vicissitudes of life.

…

Because he went to see Ning Zi on the first day, he remembered clearly where Ning Zi lived. Generally speaking, most mathematicians have very good memories. For a genius like Dominet, his sense of direction is as strong as his spatial imagination.

Just like that, I left the guest house and quickly found the doctor's building where Ning Zi lived.

The popularity on the Internet has dissipated, and the West has applied for a patent, so there are not many people coming to bother Ning Jie. However, Chen Yonggang did not say that the security of the doctor's building would be removed. The security booth at the entrance is naturally still there. It is even said that plans have been started to build a fixed booth. However, the number of people has changed a lot, and the management has not been as good as before. Strict.

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

No movement, no, there is movement...

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

"Meow……"

Dominit frowned, subconsciously raised his hand to the anti-theft door handle, and twisted it. It turned... the door was unlocked.

With Dominic's personality, it was really impossible for him to break in when his master was not at home.

After all, he is a man who prides himself on chivalry.

But today, there was no one in the corridor at this moment. He pushed the door open by mistake, and then he saw a cat lying on the only desk in the dormitory, looking up at him.

That little look in his eyes is quite charming.

However, Dominette's eyes did not stay on the kitten, but turned his attention to the messy pile of manuscript papers and computer spread out on the table. He has disliked 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 about 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. When he walked into the room, it was only his inner moral sense that kept him from closing the door smoothly. Instead, just leave the door open there...

At least it would prove that he was being honest - intruding.

After walking to the chair at the desk in the dormitory and sitting down, Dominette picked up the top stack of manuscript paper from the kitten's side.

This action seemed to startle the kitten, who jumped off the table.

Then trotted to the door.

Dominit still didn't bother to pay attention to the cat, and just focused on the mathematical formulas on the manuscript paper.

After the first glance, I couldn't move my eyes.

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

Even though there were many complicated proof processes written on the manuscript paper, he still couldn't understand it.

Dominic swallowed subconsciously and turned to the next page. Fortunately, this time it was about referring to functions, which is very important in mathematics and is also the most basic function. It's impossible to solve this kind of problem...wait, what is this?

General formula?

Deriving the infinite series of any exponential function is naturally an extremely simple matter for Dominit, and he can do it in countless ways. But this formula, which he had never seen before, seemed to make everything easier.

I silently checked it in my mind, and the results were all correct, but what about the process of proving this formula? How is this derived?

Dominit was not aware that there was a fine layer of sweat on his forehead. He couldn't understand it, but he was shocked.

Change to the next one...

Wait, is this reconfirming the Sato-Tate conjecture?

Dominit swallowed subconsciously, and looked into it immersedly. A bunch of formulas that he had never seen before appeared. These formulas always appeared exactly where they were needed. Especially the analytical part about the L function. The L function, which gave people the feeling of a mathematical ghost, became like a docile lamb under these formulas that he had never seen before, including those special values...

In this way, when Dominit was completely immersed in the messy manuscript papers for calculations, he completely failed to notice that the kitten closed the door for him very considerately, as if he was afraid that someone would suddenly break in and disturb him.

He didn't even notice that the kitten was lying in the corner, tilting its head, staring at him with interest, frowning and concentrating. You can even see human-like emotions in those smart eyes.

With three parts of pride, three parts of remembrance, three parts of pride, and one part of disappointment.

Of course, even if I saw Dominic at this time, I would not have any feelings.

Because those seemingly messy calculations and proof processes had exhausted all his brain power.

Just the constant calculation in his heart has left him with no time to think about anything else. He has even forgotten where he is and the passage of time.

Until unknowingly, I turned to the last piece of manuscript paper. There were no formulas on it, only a few sentences written on it. But it was written in Chinese, which Dominette Duncan couldn't understand.

Dominit was stunned, and a name came to his mind - Ramanujan. An extremely talented Indian mathematician who left thousands of mathematical formulas in his short but brilliant life.

Those formulas are so beautiful, but people can’t understand them.

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

At this time, the formulas written by Ning Zi on the manuscript paper have different approaches but similar effects.

Although I can't understand it, if I put in some simple numbers, they all seem to be correct.

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

There is no proof process of these formulas on the manuscript paper. Dominit even suspected that Ning Zi himself had not proved these formulas yet, it was just a mathematical intuition. But if this is the case, then this kind of mathematical intuition and talent...

Suddenly Dominique Duncan preferred these formulas to complete proofs.

But if Ning Zi really has the complete proof process of these formulas in his hands, it is no exaggeration to say that if Ning Zi released the proof process of these formulas, according to the current selection criteria for the Fields Medal, it would be enough for him to win ten Many times...

In other words, Dominit felt that the world's top mathematics awards no longer matched Ning Zi's mathematical attainments that he had not shown.

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

The key is that Ning Zi is only twenty years old!

Originally, Dominit felt that Ning Zi was an expressive mathematician, and publishing three papers in the "Annals of Mathematics" in a short period of time was enough to prove this point. But now it seems that Ning Zi is showing off his love? It's so low-key that it's outrageous.

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

The young Harvard mathematics professor, who had had a smooth life, had never been so discouraged in his life.

Because more than a dozen pieces of A4 manuscript paper have shattered the talent he was once proud of.

At the same time, Dominic suddenly felt a strong curiosity. He urgently wanted to know what Ning Zhi said on the piece of paper with a few Chinese sentences written on it.

So he put the manuscript paper back on the table, took out his mobile phone, and took pictures of all the words.

After taking the photo, Dominit's eyes were still lingering on the stack of papers. From the tangled expression, it could be seen that this guy was having a fierce psychological struggle. In the end, he couldn't bear the temptation and turned the phone over again. Turn on the camera function and start taking pictures page by page of the manuscript of Ning Zi's Calculation...

As a mathematician, he certainly knew how valuable these manuscripts were to certain people. These formulas and theorems that Ning Zi uses casually may save a top mathematician from many years of detours.

It's like before Newton, no one knew the formula of universal gravitation, and no one knew how to prove universal gravitation. 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 classes to deduce the formula of universal gravitation and easily solve the problem that gave scientists hundreds of years ago a headache.

The promotion of human civilization by scientific great men is reflected here. Simplify difficult problems and materialize abstract natural phenomena.

Soon, Dominic finished taking pictures of all the manuscript papers, and turned his eyes to Ning Zi's computer on the desk, with a hesitant look on his face again...

"Meow……"

The sudden meowing in the room interrupted Dominette's inner struggle. In fact, the Harvard professor was so frightened that he almost dropped his phone to the ground.

Subconsciously turning his head to look at the kitten standing in the corner, staring at him with big innocent eyes, Dominic suddenly felt his face getting hot. He actually forgot that there was a cat in the room who witnessed everything he just did.

Wait, cats can't talk.

fine……

However, after being interrupted, Dominette really didn't have the courage to reach out to the computer on the table, so he hurriedly put the phone back into his pocket, lowered his head, walked around the kitten, and walked to the door.

Huh? It seemed that he had left the door open when he entered...

Forget it, I don’t care about that much anymore.

After standing at the door and listening, there seemed to be no movement in the corridor, and then Dominic opened the door and walked out.

The magnanimity he felt when he first walked into the room was gone.

He wanted to go back to his dormitory quickly and find out what the piece of paper with a few Chinese sentences on it captured on his phone said.

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

God...

Dominic felt ashamed when he thought about what he told Ning Zi that day that he would become his teacher...

Maybe, it can be the other way around? If Ning Zi is willing.

…

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

At eight o'clock in the evening, US summer time, the medium-sized conference room provided by the hotel was occupied by senior technical officers from Cisco and Google, but the people sitting at the main seats were invited by the two companies from major universities and research institutes at great expense. Well-known mathematician and computer scientist.

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

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

Especially for Cisco, before purchasing the patent, it had already arranged for the foundry to start producing related equipment, and organized after-sales technicians to start learning 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 true 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 unanimously decided after communication to spend more money and invite more experts from outside to do this together. This is not difficult for both companies.

First, although this matter is disgraceful, they do give money, and they can give a lot;

Secondly, as long as the code of turbulence algorithm is studied privately and is not disseminated publicly without damaging the reputation of these scholars, ordinary people will not care about it;

Thirdly, whether they are university professors or researchers at research institutes, they have a mutually reinforcing relationship with these large companies. For these well-known experts, there will be times when everyone has completed a project and needs investment. It is naturally best to have a good relationship with these big companies.

Therefore, during this period, there will be such internal meetings held in the hotel every week, where both parties communicate on the research results of turbulence algorithms.

The person who was sitting on the oval conference table and speaking at this time was Conan Lamar, a senior researcher at the School of Computer Science at Berkeley. He is a world-renowned computer and mathematics expert, the winner of the 2007 A.M. Turing Award, and a pioneer in artificial intelligence. There are many creative achievements in decision tree algorithms. Many key technologies, including the current Google search engine, were developed based on the theories of this computer scientist.

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

After Conan Lamar worked on the computer a few times, the contents of his laptop were projected on the big screen behind him.

"We can believe that these nine formulas, as well as their final results, are the key to realizing the various functions of the algorithm. If we even crack the meaning of these formulas, we can fully understand the creative ideas and thoughts of the algorithm author, and fully understand this algorithm. Unfortunately, over the next three days, our work on these formulas was bogged down."

"These are formulas we have never seen before. Taking Formula 1 as an example, it is obvious that its scope of application should be the crepant elimination of surface singularities. I believe everyone knows that the difficulty at present is such surface singularities. Point elimination is to calculate the Hurwitz-Hodge integral, but by applying this formula, we found that we can easily obtain relevant results. This is a great formula, but the problem is that we do not understand the significance of inserting this formula in the algorithm."

Having said this, 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. You can record these formulas and function configurations. I think the focus of our work next is to understand and prove these formulas and think about them. How to make the algorithm realize these functions. In addition, our research found that if according to the mathematical structure it parses, the functions of the turbulence algorithm may be more than what everyone knows now. In other words, the ability of the algorithm has been underestimated..."

As soon as these words were spoken, someone raised their hands.

Conan Lamar glanced at the other person and saw that it was Cisco's chief technology officer, Myron Kermit, and nodded at him, gesturing for him to speak directly.

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

This may not be an important issue to Conan Lamar, but it is too important to Myron Kermit, and it is related to his job.

Conan Lamar took a deep look at the chief technology officer, then simply shook his head and said: "I don't know. Actually, what I 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 code variables, the decision-making process when the entire algorithm 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, Bayes, decision trees, hierarchical clustering, association rule learning, etc., or the author has integrated these into these formulas... I don't know, because I still can't understand these formulas so far .”

Everyone in the meeting started to look at each other in confusion.

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

Seemingly sensing something was wrong in the atmosphere in the conference room, Conan Lamar immediately said: "Okay, ladies and gentlemen, although we don't understand these formulas yet, there may be omissions in them, and we still have time to continue to study them. . In fact, our work is very effective. I have a feeling that when we can prove these formulas, we can crack the entire algorithm."

The meeting entered the garbage time of mutual discussion.

In fact, there is really nothing to say.

The result of the research in the past month is nine formulas, and these formulas have not yet been cracked.

To put it bluntly, this is like the creator mocking the scholars Chi Guoguo: "I have clearly disclosed the code and put it in front of you, but you can't analyze the reason and truth."

This is actually the same as when Einstein made the formulas of relativity public, Schrödinger designed the cat that neither lived nor died, lived and died, and Ramanujan wrote thousands of formulas, but most scholars at the same time were unable to understand them...

It seems that some people's talents are so helpless. Dimensionality reduction attacks that transcend the times will always make scholars of the same era easily feel all kinds of helplessness. Just like a war between gods, mortals cannot participate.

…

The meeting soon ended in discussion.

The formula developed by Conan Lamar was sent by email to everyone participating in the meeting.

This is the focus of everyone’s next work.

After the meeting, Conan Lamar stopped Cisco Chief Technology Officer Myron Kermit as he was about to leave.

"Mailun, I'll give you a few minutes, we need to talk."

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

In fact, it was Myron Kermit's first suggestion that Conan Lamar lead the entire cracking team this time.

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

"Very important." Conan Lamar nodded.

"Go get a drink?"

"Come with me."

…

The Hilton Santa Clara Hotel not only has meeting rooms, but also a bar.

After finding a table in the corner and sitting down, Conan Lamar ordered two glasses of Hilton's specialty cocktail, the Blue Hawaii, and took the initiative to take out two ten-dollar bills and pay a hefty tip, then picked up the wine glass and took a sip. Finally, he turned to Myron Kermit and said, "Cisco's equipment that uses the so-called ultimate security algorithm has already started selling?"

Myron Kermit 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 and follow-up for the New York Stock Exchange. Equipment replacement plan, this is probably the most important order at the moment. In addition, there is internal news that we recently won a large order from Samsung from Telecom Italia Group, and their previous partner was China's Youwei Group."

Conan Lamar looked hesitant, and said after a moment: "McLun, do you think it is possible to persuade the company's board of directors to temporarily abandon the plan to lay out new equipment and postpone it for a while. At least until we understand these mathematical formulas and code structures. .”

Myron Kermit frowned. Of course he understood the meaning of Conan Lamar's words, but he just shook his head slowly.

"It's impossible, Conan, the board of directors can't agree to it. Last week, the development department has perfected the new design plan, and orders have been placed. Our Texas factory and India factory have placed massive orders with the global supply chain. There are those foundries. Not to mention the contracts that have been signed. If it suddenly stops at this time, the company will suffer huge losses, and no one can bear the losses, let alone want to be responsible for the losses."

Conan Lamar was silent, picked up the wine glass again, took a sip, and looked at Milen Kermit seriously, suggesting: "Then, Milen, resign, find a reason to resign as soon as possible, and get out of here. I recommend that you go back to school and become a respected professor instead of staying in this position."

Myron Kermit was stunned, and it took him a while to react, and asked: "Conan, this is not what you said. Are you really that pessimistic? Aren't you making progress in your work all the time? Including The formula I derived today..."

Conan Lamar twitched the corner of his mouth, showed an extremely ugly smile, and said: "McLun, this is not pessimism, but reality. Do you understand? I can feel that there is some wonderful mathematical logic contained in these codes. , I also believe that these problems can be finally solved, 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: "So what if we increase the manpower? Expand the team and let more scientists participate? I think this will definitely speed up the efficiency, maybe …”

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

Conan Lamar directly interrupted Melenkermit, then shook his head and said: "You only focus on specific technical details and have not done theoretical research for a long time. You don't understand the difficulty of this at all. These problems have been The time cannot be shortened by just relying on manpower to pile up. It’s like at least thousands of mathematicians around the world are studying Ge Guai, but are there any results now?”

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

Conan Lamar sneered: "Why do you think it's different? Is there any distinction between high and low mathematical ideas among the same authors? Also, let me ask you, what we are studying now is only what others openly show us. Content, just this part of the content may take us several years to decipher and understand the author’s true thoughts, but what about the content that he deliberately concealed?”

This rhetorical question left Myron Kermit suddenly speechless.

Conan Lamar picked up the wine glass, drank it down in one gulp, then stood up and said to his friend who was still sitting opposite: "McLun, we are friends, that's why I make this suggestion to you, resign as soon as possible. I will find a reason to leave the expert group at the latest the day after tomorrow. Not only because I don’t want to get a huge commission in vain, but also because I don’t want to be associated with the author of the algorithm in this way. Some geniuses really don’t have to say anything. reason."

Later, this expert in mathematics and computer science concluded with a very positive tone.

"Because what they say makes sense."

…

Huaxia, Beijing, Xixiang Speed ​​Extracurricular Tutoring Center.

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

It occupied three floors of a commercial apartment, with more than 20 classrooms and 12 student dormitories.

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

What makes Ning Zi happy is that although her grades are not good, Ding Yulin is not as pretentious as ordinary girls. At least she seems to have come out of her grief. When she saw him, she didn't have too much pessimism and depression. On the contrary, she even Still restraining some excitement.

"elder brother."

"Well, sit down."

Ning Zi pointed to the stool opposite like a teacher.

Ding Yulin sat in his seat obediently.

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

When they first came, they talked about their academic performance, which obviously made this half-year-old girl a little disappointed. She just pouted and nodded.

"The progress is worthy of recognition, but it is not enough. I am not going to make the decision for you anymore. You can choose your own future path. I have transferred your student status to the capital. Now you have two choices. Go to an ordinary junior high school according to the previous plan. Continue to go to the second grade of junior high school; the other is to choose a good junior high school, but you have to start from the first grade of junior high school again. Which one do you choose?"

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

Ning Zi was very pleased that at least this sister was self-aware.

"This is not a question you have considered. Since I asked you, I must be sure."

"Then I'd better start over from the first grade of junior high school." Ding Yulin murmured.

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

"Then shall I say goodbye to Teacher Su first?"

Ning Zi thought for a moment and said, "I'll go with you."

…

"...Yulin 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 keenly read the emotions contained in words. I still recommend her in the future. Develop in the direction of liberal arts.”

The tutor for Ding Yulin was a retired female teacher in her sixties who spoke slowly and logically. Ding Yulin said goodbye to the teacher and went to pack his luggage. Teacher Su stopped Ning Ji and patiently analyzed Ding Yulin's learning situation.

"Thank you, Teacher Su." Ning Zi thanked her sincerely.

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

Hearing these words, Ning Zi suddenly realized how lucky she was to have an excellent, responsible and experienced enlightenment teacher.

After all, Ning Zi had never experienced this kind of initiative in exploring students' strengths during her education career.

But thinking about this one-to-many tutoring model, Ning Zi felt relieved again.

How many children in this world can enjoy this kind of full-day tutoring with a patient teacher in a tutoring institution?

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 Zi 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 larger.

Regarding the issue of Ding Yulin's study, he planned to find Professor Fang Xu to find a solution.

Ning Zi didn't think it was a ploy, but an equal exchange.

Fan Zhenhua had promised that the siblings would be satisfied with Ning Xiao's arrangements, and accommodation arrangements were of course included.

After Ning Zi published her paper, Professor Fang sincerely expressed many times that Ning Zi must come to him if she needs help with anything in the future. This time it just met Professor Fang’s request. Whether it is logic or reason, there is definitely no problem.

The only thing he didn't expect was that when he was dealing with Ding Yulin's problem, Dominic Duncan would go to him, walk into his room with the help of March, and be full of his manuscripts and handwritten words. interest……