The End of Technology

United States, Princeton.

While Ning Zi was busy in the deep city, Robert Cairney once again came across a new paper signed by Ning Zi.

The editor-in-chief of the "Annals of Mathematics" actually feels a little numb.

Although Ning Zhi's paper on NS equations has been posted on the official website of the "Annals of Mathematics" for half a month, it has not been cited very much so far, but this does not mean that this paper has not caused a big shock.

The actual situation is that Ning Zi’s paper is being widely discussed throughout the academic community.

At least as far as Robert Cairney knows, scholars in the field of mathematics who study partial differential equations have been particularly active recently. It can be seen from the emails and phone calls received by the editors that everyone is very excited.

Another world-class problem has been solved, which is indeed worthy of excitement.

The theoretical community does not care about things like turbulence algorithms. They are more concerned about whether the paper proof process itself is rigorous enough, because the scientific community believes that the conclusion is correct, but there are actually many difficult problems that cannot be proven.

For example, Goldbach's conjecture.

Any even number greater than 2 can be written as the sum of two prime numbers. Even with the rapid development of computers today, no counterexample has been found, but at the same time, no one in the mathematical community has been able to prove this conjecture through a rigorous proof process. But this does not prevent people from citing this conclusion directly.

But at the same time, they cannot ignore the practical application of turbulence algorithms.

Just by listening to the name of the algorithm, you can know that the algorithm itself is based on related papers.

So everyone was very excited. No mathematician with any reputation would refute the correctness of this paper without conclusive evidence. The logical chain is very clear. Since the author of the paper can develop a turbulence algorithm, it is enough to illustrate the depth of the author's research on fluids.

This achievement is enviable.

At the same time, it also eclipsed Ning Zi's first paper published in the "Annals of Mathematics", the paper on the hyperdimensional cube sensitivity conjecture.

It's like if a person's one advantage is too prominent, people tend to ignore his other advantages and disadvantages. For example, if Dad Ma is very rich, everyone will subconsciously ignore that he is also a great braggart.

But after carefully reading through Ning Zi's paper, Robert Cairney's numb emotions disappeared. Instead, he wanted to buy a ticket to China immediately, find Ning Zi, and then open Ning Zi's brain to see the structure inside. How is it different from ordinary people?

Or start the academic achievement review process to check whether there is a large team of mathematicians behind Ning Jie.

Three papers, three completely different research directions!

People are working intensively in one field, and even if they are writing papers, they are mostly advancing in the same subdivided field. But Ning Zi obviously did not follow this path. He was like a student in high school who wrote his paper wherever the textbook covered it.

In his eyes, mathematics seems to be a whole subject, without those subdivisions. The first article is a hyperdimensional cube, the second article studies turbulence, and the third article directly switches to symplectic topology and Gromov-Witten theory.

Robert Cairney simply could not imagine what Ning Zi would write in the fourth and fifth chapters.

Is there a mathematical superman in this world?

Really, even if Ning Zi was solving a world-wide problem related to fluids, such as accurately tracking fluid particles, he wouldn't be so surprised. But this time Ning Zi’s paper proposes new mathematical tools for the study of symplectic topology and Gromov-Witten theory.

And from the perspective of the demonstration process, these mathematical tools will greatly simplify related mathematical research.

If he hadn't already learned about Ning Ji's life experience from Fan Zhenhua, and knew that an ordinary young man in a small town could not obtain top academic resources, he would really have suspected that this was because the signature of Chi Guoguo's article was falsified, or that it was an insult to the editor's intelligence. The signature is fake.

Not to mention that people named this set of mathematical tools Ning's segmentation method directly in the paper.

It is the pursuit of every mathematician to write his or her name into a textbook. If this is the result of a team's research, Robert Caney can't even imagine what kind of person would be selfless enough to give such a result to Ning Zi.

So if you remove all impossibilities, what remains is probably the truth.

Just when Robert Kane was filled with endless emotion, his heart suddenly moved and he thought of a person - Dominic Duncan.

This equally young mathematician is 26 years old, and his research interests include symplectic geometry.

As the editor-in-chief of the Annals of Mathematics, Robert Cairney is very well-informed about some news in the mathematics world.

For example, he already knows that the Norwegian mathematician is likely to win the Fields Medal next year for his research on the analysis of relationships between different scales and the establishment of connections between mathematical tools in multiple fields.

This is almost a sure thing.

In fact, the academic community is also keen on the god-making movement, especially for the mathematical community. Since the Poincaré conjecture was proved, there has been no major breakthrough for a long time. Dominic Duncan's advantage is that he is a mathematician with extensive research, and his results are helpful in many research directions in number theory.

The most important thing is age. He is 26 years old this year. If nothing goes wrong, when he wins the award next June, he will be one year younger than the youngest Fields Medal winner, Cerris Ponte, and will break the The new record for the youngest Fields Medal can inspire people.

But there are always so many coincidences in the real world. Whenever people think there will be no accidents, accidents happen.

Although the emergence of Ning Ju will most likely not affect Dominique Duncan's award next year, there are changes in the youngest Fields Medal winner. After all, this young man from China will only turn twenty next year.

To be honest, Robert Cairney actually does not want Ning Zi to win the award so early from the bottom of his heart, and this even represents the aspirations of many people.

Because Ning Zi is too young.

If Ning Zhe wins the Fields Medal next year, the youngest Fields Medal winner will be twenty years old. This also means that for a long time, maybe even during the existence of the Fields Medal, people who want to win the Fields Medal will be The possibility of continuing to break this record on this basis is almost completely lost.

An originally excellent gimmick was ruined in this way, but after all, this is just the idea of ​​​​some people. Compared with the lack of gimmicks and the credibility of the award, the latter is obviously more important.

The highlight when thinking about Dominic Duncan is that both he and Ning Zi are very likely to win the Fields Medal next year, and they are both winners who have broken the age record for the Fields Medal.

If Dominic Duncan is allowed to be a reviewer of Ning Zhi's paper, he might even create a good story in the mathematics community.

The duel between geniuses of the century has always been a fun scene to watch.

If two people have the opportunity to review each other's manuscripts, the opinions given by each other will also become valuable information.

Thinking of this, Robert Cairney directly picked up the phone on the table and called Dominion Duncan. This young mathematician is now a professor at Harvard. It seems that the two have a good personal relationship. In fact, this "Annals of Mathematics" The editor-in-chief still has a good relationship with many great mathematicians.

Of course, this is also due to my career. If I have a good relationship with great mathematicians, I will think of you when I submit my manuscript. As for ordinary mathematicians, the situation can be reversed. The call was quickly connected, and Dominic Duncan's voice came: "Robert, it seems you haven't contacted me for a long time."

"Yes, I have been very busy recently, you know."

"Heh... okay, what's the matter?"

"There are indeed some things. You should already know about Ning from China, right?"

This question made the other party silent for a long time before he replied: "Of course, the actual situation is that his name has almost made my ears ring with calluses during this period. In fact, I am reading his paper. But if you call me, you are also talking to me. Just like those boring people who want to ask me what I think of him, I might blacklist you. No, it's not a possibility, it's a certainty."

Robert Caney struggled not to laugh.

As expected, there will never be a shortage of people in this world who enjoy watching the excitement without taking it too seriously and who like to stir up trouble. There are quite a few such people, even in academia.

"No, no, no, Duncan, you should know that I'm not that boring. Of course, if you need psychological massage, maybe I can recommend it to you... Well, actually, it's because Ning submitted another paper. I hope it can You are invited to be a reviewer for this paper.”

"He submitted another paper?!!"

The tone on the other side was very surprised...

After all, Ning Ji's paper on NS equations was published only half a month ago. He has produced results of this level in the mathematical world. It will take some time to revise, waiting for a protracted debate with the academic community. For example, every day Reply to various emails for inquiries and discussions, accept various invitations to give lectures...

How is it possible to continue submitting papers?

Of course this is Dominette Duncan who doesn’t know much about Ning Zi yet.

Although Ning Zi's mailbox has indeed received many emails every day hoping to have academic discussions with Ning Zi, and there are indeed many invitations, he has never opened them. Even some of the requests relayed by Fan Zhenhua were decisively rejected by him.

But then again, the text of this paper was unplanned.

If it were not related to Professor Fang's topic, neither Ning Zi nor March would have thought of compiling a paper specifically focusing on mathematical methods in a subdivided field.

"Well, not only that, but he has also continued his usual level." Robert Cairney stimulated the other person again.

In a sense, the editor-in-chief also likes to watch the fun.

Not to mention the collision of ideas between geniuses is particularly exciting.

"But you know, Robert, I haven't done much in-depth research on partial differential equations and fluids. Are you sure you want me to be a reviewer?"

"No, no, no, his new paper is about symplectic geometry. To be more precise, he created a set of mathematical methods for cutting high-dimensional complex structures, which he called Ning's section method. I just After reading this paper, if it is effective, his method will make the process simpler and more intuitive for people to study related problems."

This introduction once again caused a long silence on the other side of the phone.

"Robert, today is not April Fools' Day."

"In fact, when I just found this paper in the submission system, I thought it was a joke, but I just read the entire article."

"Then...okay. Since you recommend it so, I think we should read the paper first."

"Then keep an eye on your email, Duncan, and I'll send you the invitation link."

"Okay, I'm looking forward to it."

…

After hanging up the phone, Dominette Duncan opened the mailbox. A minute later, the invitation link was sent to the mailbox. Click the link, select Agree, and then enter the paper download page.

Unlike many older professors who like to print out papers and read paper versions, Dominic prefers to read papers directly on the computer. In fact, it is easier to use a computer than to use paper and pen to mark areas that confuse him or that need to be understood. Before formally reviewing this paper, the young mathematics professor had extremely complicated emotions.

If you compare the life experiences of Dominette Duncan with Ning Zi, you will find that the two have completely different lives.

Dominic was born in Oslo, Norway, which is the place where the Nobel Peace Prize is awarded. It is also the capital and largest city of Norway. The Norwegian royal family is also in this city. Its status is roughly equivalent to the capital of China.

His family belongs to the most typical middle-class family in Norway. In fact, for Norway, a wealthy Nordic country, there are actually many middle-class families. Because of extremely high taxes, it is difficult to make people rich. At the same time, high taxes bring various high-welfare social policies.

In addition, several Nordic countries are small enough.

The entire area of ​​Norway is about the same as that of the provinces in southern China that enjoy spring all year round. In addition, one-third of the area is within the Arctic Circle. It is a vast land with a sparse population and a small population. Naturally, all kinds of benefits can be directly provided. For example, it can provide lifelong free education for all people, as well as higher-quality free medical care for all.

In this kind of favorable living environment, people often don't have much sense of worry.

But what makes Dominic different from other Norwegians is that he is the kind of talented fighter.

There is no challenge in the comfortable life. He has liked to compete with others since he was a child. However, in the Nordic countries where most of the bodies are very strong, his physical fitness appears to be very weak. Although he likes almost all competitive sports, these sports have been scorned by his peers since elementary school. He is typically both good at it and loves it at the same time.

At this time, Dominic felt depressed and felt that life was full of frustrations.

Until he grew up, Dominic came into contact with more advanced mathematical knowledge and learned that in addition to competitive sports, there are also intellectual competitive events in the world, such as Mathematical Olympiads...

So he finally found his talent, using his IQ to defeat the simple-minded guys around him, although for a long time, this did not make him look cool among his classmates. But he finally found his advantage.

From then on, Dominic began to develop in the direction of a mathematician.

Originally, after graduating from high school, he could directly apply to universities in Norway, such as the University of Oslo and the Norwegian University of Science and Technology, which would be easier. His parents also preferred that Dominic stay here.

But Dominic felt that staying in Norway was too unchallenging, so he applied to Imperial College London. However, during the days when he was studying in the UK, he felt that the UK was not good enough and the pace of life was not much faster than that in Norway. So after graduating from Imperial College, he went to Berkeley in the United States.

Here he finally found the feeling of volume.

Top-notch universities and high tuition fees make you feel sorry for yourself if you don't study hard.

In particular, the "promote or leave" management system used by most well-known universities in the United States for professors simply made Dominic feel like he was in paradise. This is using the system to force everyone to roll together.

If you want to move up, you have to produce results, and if you want to produce results, you have to study hard, otherwise you will lose your job and live on the street.

From that time on, Dominette Duncan was determined to stay in American colleges and universities from lecturer to professor. As a result, he became a genius professor at Harvard at the age of 26 and was nominated for the Fields Medal. Under normal circumstances, as long as he doesn't go crazy and do messy things, such as blowing up a building in the school, he can basically work at Harvard until he retires.

For normal people, they would probably only feel proud to have such achievements at such a young age, but Dominic Duncan obviously cannot be considered a normal person. After all, human nature is supposed to be content with pleasure, and there are really not many people who can regard curling as a hobby.

Yes, in the year before he was about to achieve the most glorious achievement in his life, Dominic felt nothing but boredom. There are not many people who can accompany him to continue to be involved in this industry. It seems that he can only set his goal to leave his name in Qingshi.

In fact, he has been thinking about it a few days ago and wants to officially start challenging the problem that ranks first on the millennium problem list-the NP-complete problem.

After all, this is one of the most difficult and important problems in number theory at this stage. If he can really solve this problem, his achievements in mathematics will probably be comparable to Newton's, and he will become one of the most dazzling mathematicians of the 21st century in the eyes of future generations.

Of course, you need to be careful when making this decision. Generally speaking, once you fall into such a big pit in mathematics, it is not impossible to achieve nothing in your life. Especially for a person like Dominic who has always wanted to be strong throughout his life, he would definitely not be willing to accept this kind of failure. However, before he could make up his mind, Ning Zi's paper on the NS equation in the "Annals of Mathematics" made his brain, which already felt that he was invincible, a little more awake.

Ning Zi is too young, not yet 20 years old.

This is the biggest blow to Dominic. Even if Ning Zi is in his thirties, this Juan King will not feel collapsed. After all, as long as he is older than him, theoretically he still has the possibility to catch up.

It's nothing more than achieving similar achievements at the same age... As long as you dare to write, everything is possible.

But Ning Zi was a full six years younger than him, which meant that his twenty-year-old could never catch up with Ning Zi's achievements at the age of twenty.

Fortunately, after a brief period of frustration, Dominic quickly found the direction of his efforts. At the age of twenty, he was destined to fail, so he could only strive for lifelong achievements. This is why even though he has never dabbled in the direction of fluid mechanics, he still downloaded Ning Ji's paper specifically.

He wanted to understand Ning Zi's thinking when solving mathematical problems. Only by knowing yourself and the enemy can you win every battle.

Who would have thought that he would receive a call from Robert Cairney the next day, inviting him to review Ning Zi's new paper, which was also closely related to his research direction.

His interest exploded in an instant. Is he a young man who excels in many mathematical research directions?

He doesn't believe it!

The paper must have holes!

After all, this world has rules... It is impossible and not allowed for such a powerful person to exist!

…

Ning Zi didn’t know that Robert Cairney had helped him find a very special reviewer.

In fact, even if he knew, he wouldn't care.

He is actually different from Dominic Duncan. If given a choice, he would rather choose a more comfortable life, and he would definitely not choose to go crazy involution. It's just that God didn't give him this condition.

Dominite probably couldn't understand that feeling at all.

Some people do it to enjoy life, and some people do it just to survive.

It was already ten minutes in the morning, and everyone else had gone to rest. He was the only one sitting silently outside Ding Yulin's room, thinking about his thoughts.

The sudden death of his mother still has an impact on a nineteen-year-old young man.

Specifically for Ning Zi, the emotions are even more complicated.

He hated Luo Yufang, but he never thought he would face this kind of problem one day.

Not to mention that he suddenly had a younger sister.

An hour ago, when saying goodbye to Ge Dongshu, he asked the promising CEO to help him understand Ding Yulin's situation.

Although they are related by blood, Ding Yulin is still too strange to Ning Zi, and he is not good at dealing with girls, even if this person is his biological sister. This made Ning Zi feel very complicated, even more complicated than solving a mathematical problem.

Half an hour ago, Ning's father called. After understanding the situation, he hoped that he could take Ding Yulin to the capital as soon as possible.

But Ning Zi felt that he should know more before making a decision.

I really can't blame Ning Zi for being cold-blooded, the main reason is that he doesn't have much confidence in the opposite sex.

Growing up, there were very few people of the opposite sex who made him feel warm, except for his cousin Ning Xiao, there were almost none. For a family, the most important harmony requires the joint efforts of everyone. Now Ning Zi may not care about material costs, but he cares about emotional costs.

The most important thing is that he doesn't want his old father, who has only enjoyed a few days of happiness, to start getting upset again because of an extra sister.

…

Ge Dongshu maintained high efficiency.

Before Ding Yulin got up, Ning Zi received another WeChat message from Ge Dongshu.

Very direct and intuitive.

There are about a dozen photos, and the contents include Ding Yulin's test scores from elementary school to junior high school and comments from previous teachers.

I have to say that Ge Dongshu has too many reliable friends.

After all, it's only past seven in the morning, and it's not even time to go to work during the working day, let alone summer vacation. Fortunately, the price has been paid, and Ning Zi can look at it with peace of mind and see the facial twitching.

These test results made Ning Zi start to doubt the paternity test results that came out in the early morning.

How difficult can the final exam questions for the first grade of junior high school be?

Especially in junior high school mathematics, there are choices and fill-in-the-blanks...

Ning Zi felt that even if he randomly chose the multiple-choice questions and wrote all 1 or 0 in the fill-in-the-blank questions, he would definitely get more than 22 points.

Even if it's a pig...

Forget it, sister, dear... He didn't want to scold his own father.

For a moment, Ning Zi even wished that the junior high school mathematics in Shencheng used Olympic test questions, and they had to be all big questions...

Yes, after glancing at the recent transcript, Ning Zi regretted asking Ge Dongshu to find this information.

Fortunately, the teacher's comments were quite satisfactory.

Lively and cheerful personality, able to unite classmates, willing to help others...

As for those suggestions to get rid of the shortcomings of reading novels in class, talking in class, passing notes in class, and sleeping in self-study, Ning Zi directly ignored them. These suggestions are of little value. After all, students who can get such scores are probably doing everything in class but not studying, which is normal.

The comments made by the primary school teacher during the summer vacation of the sixth grade made Na Ningzi feel a little emotional.

"Through talking with children and observing their daily performance, we found that parents have too little company for their children. It is recommended to increase the frequency of daily communication with children, have the courage to express love to children, and provide more companionship and care to ensure the physical and mental health of children. grow healthy."

I dare to write this probably because I am about to graduate anyway and I am not afraid of complaints from the parents’ association, or because the teacher is approaching retirement age?

Well, even if there are problems like this, Ning Zi still feels that there must be something wrong with Ding Yulin himself. Because since he was in elementary school, Lao Ning at home has not really taken care of him, let alone much communication and companionship. After all, Lao Ning has to make money to support the family.

But he has never given up on himself. In fact, because of this, he will work harder and be more conscious, because he must do better to get more attention and care from the teacher.

So after briefly browsing the contents, Ning Zi put down her phone, and after all she wanted to talk to this little girl in person.

He didn't have to wait long. Almost as soon as he put the phone in his pocket, the door to the room was pushed open. The little girl rubbed her eyes and walked out. When she saw Ning Zi sitting on the sofa, she was stunned. There, I forgot to put down my hand that was still rubbing my eyes.

The two just stared at each other silently.

About two minutes later, Ning Zi finally overcame her psychological barrier and spoke first: "Have you slept well?"

"Yeah." Ding Yulin nodded.

"Then go and wash up first. I'll ask someone to bring breakfast, and then we'll have a chat." Ning Zi said.

"oh."

Ding Yulin weakly agreed, while Ning Zi picked up the landline phone on the table next to her.

…

Ten minutes later, the two of them sat face to face at the table in the living room. In front of them was a breakfast that the waiter had just delivered to their door.

Ding Yulin poked at the plate aimlessly with his chopsticks. Occasionally he would raise his head to peek at Ning Jie, and then quickly lower his head to pick up a little food and bring it to his mouth. As usual, Ning Zi was eating while thinking about how to conduct this conversation between strange siblings.

"I just read your transcript..."

As soon as Ning Ji spoke, Ding Yulin's fair face suddenly turned red and his head lowered.

After hesitating for a moment, Ning Zi adjusted her words: "The results don't seem to be very satisfactory."

"Um……"

"Why? Don't you like studying?"

"I feel like falling asleep when I read a book, especially a math book." Ding Yulin answered in a mosquito-like voice.

"oh."

Ning Zi nodded, and then asked: "Have you thought about it in the future? What do you want to do?"

Ding Yulin raised his head, glanced at Ning Zi blankly, then quickly lowered his head, and then shook it.

"But you have to think about it now. I lost my mother when I was six years old. Since then, I have asked myself every day when I get up, what should I do when my father gets old and can no longer work." Ning Zi stated calmly. road.

Ding Yulin's eyes turned red instantly, and his eyes were filled with mist...

"Before today, you could be willful, you could feel that the whole world was sorry for you, and you could even give up on yourself. Because no matter what, someone would pay for your willfulness. After today, if you still have the same attitude towards life, you will be very disappointed. Trouble. Because when the world really decides to forgive you, you have no room to resist."

When he said this, the darkest moment in his life flashed through Ning Zi's mind, and his eyes towards the girl became sharper.

Ding Yulin lowered his head and continued to remain silent, but tears began to slide down his cheeks, and fell on the carpet of the room drop by drop.

Ning Zi continued: "So start thinking about it now, and then tell me, what are your plans?"

"I...I...I will study hard in the future, and then after graduation, I will find a job and support myself."

"Are you sure you can study well?"

"It will... it will."

"Then start from this summer vacation and start tutoring from the basics. I will find a tutor for you. After the summer vacation, my requirement for you is that your scores in each subject can at least reach the level of an ordinary first-year junior high school student. This is the only thing I can do for you now. You do it. You must understand the most basic rules of this world. If you want to gain anything, you must first know how to give."

"I...what if I can't learn?"

"What I ask of you is only a score that anyone with a normal IQ can achieve. There is no problem that you can't learn it. If you can't meet this standard, then you should think about how sincere the promise you just made is. "

Ning Zi's tone was serious and her expression was serious.

He doesn't know how to comfort people, nor does he know how to deal with the complex emotional lines in front of him. He just mechanically performs the responsibilities of a blood brother.

"I actually don't like to talk. I've talked a lot today for you. I hope you can take the future into your own hands. Because I've lived like this since I was a child. I've experienced some bad things, and I understand that kind of thing very well. The feeling of helplessness. Fortunately, when I was most helpless, my family did not give up on me, but stood behind me unconditionally and marched and retreated with me."

At this point, Ning Zi's tone became lower and more serious: "But the premise of all this is that my hard work from childhood to adulthood has made them believe in me. So they don't care about the reason, they just work hard in spirit. Give me the greatest support and encouragement in material terms. In the same way, if you want to get the same support, you must first let me see your dedication, your serious attitude towards life, and your determination to be responsible for yourself."

Looking at the girl opposite who had been sobbing silently, Ning Zi wanted to slow down her tone, but when she spoke, she became harder: "Ding Yulin, please remember that this world has never been fair. We It’s just that children from ordinary families have to do their best even if they want to get the same resources as others, let alone your current situation. Being 13 years old is not a reason to escape, weakness is. But the irony is that the world has never been right Weak people are especially hard.”

After saying that, Ning Zi paused and raised her voice loudly: "Do you understand?"

The little girl was so frightened by the last sentence that she stopped sobbing: "Ah... I understand."

"Okay, now after breakfast is finished, I need to take a rest. Someone will bring your textbooks in about half an hour. During my break, you will read in the room. Then I will stay in Shencheng to help you deal with what needs to be done here. The funeral arrangements are settled. Then I will take you to the capital and arrange for you to go to a boarding cram school. The next step is up to you. Dad wants to see you very much, but I haven’t agreed yet. I must first see if you have enough respect for yourself. Responsibility.”

…

Ning Zi stayed in Shencheng for three days and dealt with everything quickly.

It would have taken longer, but with Ge Dongshu's help, those big things were quickly handled and the procedures became less cumbersome.

As for other minor matters, Ning Ju left full power to Ge Dongshu to handle it on his behalf.

To Ning Zi's relief, in the past few days of contact, Ding Yulin was not as stubborn as he imagined.

But after getting off the plane, he still followed the previous agreement and did not let Ding Yulin meet the old man at home. Instead, he sent him directly to a summer tutoring institution in the capital that Ningji had never heard of.

This offline summer tutoring institution was contacted by Chen Yonggang. According to Chen Yonggang, the principal of this institution is his former classmate. Although few outsiders have heard of it, it is full of serious teachers from famous schools. Basically, parents in a small circle send their children there.

According to Chen Yonggang, the principal of the training institution looked at Ding Yulin's results and absolutely refused to accept it. His face was useless, after all, he was afraid of ruining his brand name. I still told them that this was Ning Zi's sister, so they reluctantly accepted her. Of course, a special tutor must be arranged for the little girl.

Chen Yonggang's words probably meant to express how famous Ning Zi is now, but obviously Ning Zi was not happy after hearing this.

Of course, this was also because Chen Yonggang didn't know that Ding Yulin was Ning Ju's biological sister. He only thought he was the child of one of Ning Ju's relatives. This kind of thing was very common. Ning Zi didn't make it clear to Chen Yonggang.

Although his younger sister, whom he was not familiar with, had no complaints about sending Ding Yulin directly to a cram school, Lao Ning seemed a little anxious.

When the two men sat on the curb near the community again, Lao Ning kept sighing at his son while looking at the photos of Ding Yulin on Ning Jie's cell phone.

"Hey... tell me, what is this?"

"It's a good thing."

"What's better? What's better! At least bring it back and let me see the baby!"

"I've already been spoiled, and I want you to continue to spoil me?"

"When did I say I would spoil her?"

"I'm worried about getting a girl in old age, but her heart is still soft."

"I'm not worried if you send him directly to school!"

"Oh, then you will help her with her homework? 22 points in math, huh..."

Lao Ning suddenly stopped talking.

I could only silently look back and forth at the two photos on my phone.

Now that his son has grown up and is promising, he can't compete with him.

For a moment, Lao Ning even felt that it was not good for his son to be too promising... too disobedient.

"Look at this girl, how handsome she is. Just like you, her eyes and ears are like mine. She will definitely be as good as Ning Xiao when she grows up in a few years. She will be equally as popular."

"Then I have to have my cousin's good character. Can Guangjun be his bread? And my cousin has at least passed the college entrance examination."

"Ning Zi, do you have to go against me today?"

"Just to keep you awake, spoiling her will only do harm to her."

"Nonsense, I don't know how to educate children better than you?"

"you sure?"

Facing Ning Zi's clear eyes, Lao Ning suddenly became less sure.

"Then she can bring it back to me after she finishes the cram school, right?"

"I'll make a decision based on how her grades improve."

Hearing this, Lao Ning angrily handed the phone back to Ning Zi, stood up from the side of the road, patted his butt and said, "I don't want to pay attention to you, I'm going back."

"Oh, then I'm going back too. By the way, don't ask anyone to find out where she is tutoring, or secretly visit her. I have specifically said hello to those who know the situation, and I will definitely not tell you. Even if it happens. If you find out, let me know if you go to see her, I will send her out of the capital."

"you……"

Old Ning raised his hand and pointed at Ning Zi tremblingly. After a while, he put it down slumped: "Send me the girl's photo on WeChat."

"This is acceptable."

"thank you!"

"Dad, you're welcome."

"go away!"

"good!"

…

After soothing Old Ning's restless heart, Ning Zi finally breathed a sigh of relief in his heart.

Before Ding Yulin showed him a complete change in his attitude towards life, he really didn't intend to let her meet Lao Ning.

Because Lao Ning really doesn’t understand education.

Although he didn't understand either, he at least knew that Ding Yulin couldn't continue like this.

At the same time, some people don’t know that they are dying...

…

Cambridge, Massachusetts, USA.

While Ning Zi was busy doing things, Dominette Duncan had locked herself in her room for four days.

He reviewed Ning Zhe's paper with a critical attitude, but obviously failed.

In fact, the argumentation process of the paper is very clear and the steps are very detailed. It is completely opposite to the style of the great mathematician Fermat. This paper is not afraid of wasting manuscript paper at all. It is a kind of Dominican paper where the author treats the reviewers as It feels like a primary school student watching it. Many places that can obviously be replaced by obvious still provide proof.

This made Dominic very unhappy.

After directly studying the paper and unable to find the problem, he began to find another way.

Ning Zi’s paper gave a set of mathematical methods, so as long as he makes mistakes when using this set of mathematical methods to solve related problems, it will naturally prove that this set of methods is not applicable.

After working for more than ten consecutive hours, Dominit was surprised to find that after using Ning Zi's mathematical method, the problems that had troubled him for a long time had indeed become much simpler. More importantly, using Ning's segmentation method for proof or calculation, the results obtained for most problems are consistent with my previous results...

And those that are consistent are issues that have been verified by multiple parties.

What is inconsistent are issues that are still controversial.

The most frightening thing is that he seemed to have used the method in Ning Zi's paper to solve a problem that had been bothering him for a long time, and his mathematical intuition told him that the solution process was correct!

For a moment, Dominic was overwhelmed by a strong sense of frustration...