The unparalleled talent of the country started from Harbin Institute of Technology

Chapter 264, Alas! (Seeking monthly ticket)
In October 1984, in the secretary's office in the administrative building of Harbin Institute of Technology, Liu Deben was stunned by Wang Duoyu's words.

"Duoyu, if you say that, then these 2 billion RMB and 200 million USD may not be enough."

Wang Duoyu heard this and nodded:

“Yes, there is a high probability that it will not be enough.”

No one knows better than him that a lot of money may be needed just for the research and development stage.

The Haier telescope was made more than 30 years ago. After such a long time, prices have risen a lot, and there is no such technology in China.

Take the nearest observatory as an example, that is the BTA-6 longitude and latitude desktop large telescope of the Polar Bear Empire.

The bracket of the Jingwei desktop large telescope has a simple structure, is lightweight, and is easy to move. The lens barrel can be rotated freely up and down and left and right. Even an unfamiliar person can easily use this water-supported bracket to point to any position in the starry sky.

Of course, this telescope has a disadvantage: in order to track stars that move out of the field of view, the instrument must be constantly moved up, down, left, and right. For the observer, this may not feel so free.

And this is a six-meter super-large telescope, larger than the five-meter Hale telescope.

The world's largest single-piece optical glass lens has a diameter of six meters. The frosted glass used in its production weighs 70 tons. It also involves all the surface composite processing processes of parts, including annealing process, center hole, back hole and blind holes, which is an unprecedented challenge.

Wang Duoyu learned that the annealing process for the BTA-6 telescope took two years and six days. To achieve large-scale processing, they also developed a large-scale optical glass processing machine tool, the KY158.
This machine tool named KY158 adopts diamond cutting technology. Its components are used for milling planes, rough grinding of optical instrument surfaces, processing of complex curved surfaces, drilling and milling holes, finishing holes, processing of complex cavities, grinding and polishing of flat spherical and cylindrical surfaces, etc.

In short, in order to successfully complete the construction of the BTA-6 telescope, the Polar Bear Empire spent a huge amount of money, and even dispatched a large number of large transport tractors and even airplanes during the transportation process.

However, the installation of this telescope was not completed until 1976, and it was not put into use until the 1980s. It is conceivable how difficult it was.

During the same period, there were also the 3.9-meter ATT telescope built jointly by Great Britain and Australia, the 4-meter telescope at Kitt Peak Observatory in the United States, the 3.6-meter telescope at Mauna Kea Observatory in Hawaii built jointly by Canada, France and the United States, and the 3.5-meter telescope at Kala Alto Observatory.

Over the next decade or so, the United Kingdom would build a 4.2-meter telescope in , the United States would build a -meter telescope in , and the GEMINI binary project and Japan's SUBARU -meter telescope in .

Therefore, astronomical telescopes abroad are very powerful, but there are currently no such telescopes in China.

It was because of the mathematical questions asked to Wang Duoyu by the astronomy student a few days ago that he thought a lot and began to think about the scientific research work to be completed in the future.

".. Large optical glass processing machine tools, mirror vacuum aluminum coating vacuum unit, special constant temperature environment unique grinding machine system, unique grinding tools and other equipment, as well as active optical technology, lightweight design, high stability, large field of view observation capability, automation and intelligent control"

Liu Deben's eyelids twitched as he listened to Wang Duoyu counting on his fingers while explaining the equipment parts and related technologies in detail.

However, when Wang Duoyu said that the whole process might take ten years, Liu Deben finally breathed a sigh of relief.

"Duoyu, why didn't you tell me earlier? With such a long timeframe, there's definitely no problem. You definitely don't need that much initial funding, right? Two hundred million RMB and twenty million US dollars, is that enough?"

However, Wang Duoyu shook his head and said:
"I'm afraid that won't work. My goal is to design a large optical telescope with a diameter of five meters, so the relevant technology will certainly not be simple. This requires the assistance of several optical instrument factories, optical research institutes, as well as large machine tool factories and other units."

"So the initial capital investment is at least 1 billion RMB. If we import equipment and technology, we may not be able to use it because foreign countries may not be willing to sell it to us."

Of course, even if they don’t sell, Wang Duoyu still has a solution.

Anyway, as long as this large optical telescope can be put into use before 1997, Wang Duoyu will not have any problems.

Otherwise, definitely not.

In addition, Wang Duoyu actually doesn't need to waste this money. He can just go abroad to apply for such scientific research projects.

But it is already very difficult for him to go abroad. I am afraid that if he goes abroad, it will be like throwing meat buns at a dog and he will never come back. That would be too much to bear.

To some extent, his status now may not be much different from that of Qian Xuesen back then.

It was truly a blessing that Qian Xuesen was able to return to China back then.

If it weren’t for the people on the other side of the Pacific, they would be so short-sighted.

They thought that even if Qian Xuesen came back, it would be impossible to grow apple trees in the poor desert Gobi, so they chose to let him return to China.

But over the years, those who said this have long regretted it.

Therefore, it is unlikely that Wang Duoyu will go abroad, so if he wants to do any scientific research, he can only do it in China.

Liu Deben nodded upon hearing this.

"No problem. If it's 10 billion RMB, we can still come up with it if we grit our teeth."

"Bite your teeth?"

Wang Duoyu frowned and said:

"We actually need to grit our teeth to come up with 1 billion RMB now? Secretary, are you kidding me?"

When did Harbin Institute of Technology become so poor?
"I'm not kidding, Duoyu. You have to know that you've spent a lot of money over the past period of time."

Immediately, Liu Deben gave Wang Duoyu a brief explanation.

Eight billion RMB was allocated to the Dawning supercomputer project. Originally, the Foreign Exchange Department hoped that Wang Duoyu could suspend investment in Japan, but the latter did not agree, so another part of the foreign exchange was allocated here.

In addition, Wang Duoyu invested a lot of money during the National Day period, which resulted in Harbin Institute of Technology having very little deposit left.

After listening to this, Wang Duoyu had no choice but to nod.

The four words "money cannot be spent" have always been an eternal truth.

It was as if Wang Duoyu had gone through the same thing in his previous life. He was extremely poor when he was a child, and it was considered a great thing for him to have five cents.

Later, when I grew up a little, I saved for three years in high school before I finally saved enough money to buy a pair of sneakers.

Later, when I went to college, I had several thousand dollars in my hand, but it still was not enough to spend.

When I was studying for my doctorate, I was very actively involved in scientific research projects, and my bank deposits amounted to more than 300,000 RMB. However, it was still not enough to spend, as it was not enough to pay the down payment for a house.

"Secretary, we still need to increase revenue and reduce expenditure."

After a pause, Wang Duoyu continued:

"Also, I will involve Want Want Group in this research project. They will invest 50 million RMB. It's not much, but it's better than nothing."

Liu Deben frowned, "Duoyu, this isn't appropriate, is it?"

"What's inappropriate about that? It's just a donation, who dares to say no?"

"Really? Just a pure donation? Without any strings attached?" Liu Deben was overjoyed and asked quickly.

Wang Duoyu glared angrily and said:

"Secretary, you are such a money-grubber!"

It is definitely impossible to say that there are no additional conditions. Wang Duoyu naturally hopes that Harbin Institute of Technology can allocate some places to Want Want Group among next year's college graduates.

"Oh, how many places does Want Want Group need?"

When Liu Deben heard that they only needed places for university graduates, he immediately felt relieved. At the same time, he hoped that Wang Duoyu would not ask for too much, otherwise it would be difficult for him to do his job.

Next year is 1985, so this year's graduating class will be those who enrolled in September 1981. This year's graduating class includes not only undergraduates but also master's students.

"Fifty undergraduate places and five master's places, Secretary, is this okay?"

Liu Deben's pupils dilated instantly and he shook his head repeatedly, indicating that it was impossible.

Because there are too many places like this.

"Secretary, Want Want Group has put out 50 million RMB, for a total of 55 places. Is that a lot?"

College students in this era are very valuable, and they are all guaranteed jobs after graduation.

Since 1980, students of Harbin Institute of Technology have embarked on the path of training the elite among the elite, and many of them are top scorers in the college entrance examination.

In the history of the original time and space, these top scorers in the college entrance examination were actually in Tsinghua University or Peking University, but in this time and space, a large number of them came to Harbin Institute of Technology.

However, most of them are top scorers in mathematics and science, but there are not many top scorers in liberal arts.

These elites among the elites are not Wang Duoyu's target, because they should stay in the first department of Harbin Institute of Technology or other cutting-edge scientific research institutions instead of coming to Want Want Group.

Besides, Want Want Group currently only operates products such as watches, clothing, and shoes, and is pursuing a mid-to-high-end route.

In the future, watches may also take the high-end route, but this requires time to settle, which is not so easy.

The reason why luxury goods are luxury goods is not just because of the brand premium, but also because the quality of these products represents high-end.

No matter how awesome an A-grade product is, it is nothing more than a smaller counterpart compared to real luxury goods.

However, Wang Duoyu is going to set up an Internet company next year, so he needs to recruit technically qualified programmers and other employees.

Programmers are very smart, and they are the lifeblood of Harbin Institute of Technology.

Who makes the Department of Information Science and Engineering one of the top departments of Harbin Institute of Technology?
Although it cannot compare with the Department of Mathematics, the ace of aces, the Department of Information Science and Engineering was previously split from the Department of Computational Mathematics, and can be said to be on par with the Department of Mathematics.

Moreover, in this department, all graduates have been reserved early on, and even the current freshmen have already had their destinations determined after graduation.

Regardless of whether they take the postgraduate entrance examination or not, they will definitely be recruited once they graduate from Harbin Institute of Technology.

Because there are many companies in the First Department of Harbin Institute of Technology that are eyeing the graduates of this department.

In the United States, Azure, Dolphin Games, Huaxin, Guanghui Photolithography Factory, Chip Design Institute and other units all need a large number of such talents.

Especially the computational fluid dynamics simulation software project of Harbin Institute of Technology, this project needs fresh blood every year, and requires at least twenty to fifty relevant software professionals, mathematics professionals, etc.

If Want Want Group were to take away at least fifty of these software engineers, there would definitely be an uproar.

Of course Liu Deben disagreed, so he bargained with Wang Duoyu for a long time before agreeing to give Want Want Group 45 graduates, including 40 undergraduates and 5 masters.

"By the way, Duoyu, didn't you say you were busy? Why are you still bothering with all this? Isn't that a bit inconsistent?"

After the deal was settled, Liu Deben couldn't help but ask, but Wang Duoyu smiled.

"Secretary, do you need me to be involved in building a large optical telescope? No, I'm not a professional in this area. To some extent, the Dawn supercomputer is just a part of this observatory project."

"The second is Want Want Group. This company is just some random ideas I have after work. It won't waste a lot of my time. There will be someone dedicated to manage it for me, so I don't need to put in too much energy."

If Want Want Group is compared to a "person", then Wang Duoyu is the brain and soul, and Zheng Baoyin, Wang Jianchao, Wei Ruolai, Xue Lisheng, Qu Haiping, Liang Shengzhi and others are the body and torso.

Therefore, Wang Duoyu only needs to steer the development direction of Want Want Group and ensure that it does not deviate too much.

After leaving the secretary's office, Wang Duoyu returned to his own office.

As soon as he sat down, he started to have a headache.

"Ugh!"

Forget it, the Riemann hypothesis and the Langlands program can only be put aside for the time being, and I will finish other papers first.

In the blink of an eye, a week passed and Yu Zhengze finally collected all the information.

After getting the information, Wang Duoyu spent an hour reviewing it before calling Yu Zhengze:
"Old Yu, please notify the professors in your department to attend the meeting. I'll have Xiao Su send you the specific list later. The meeting is scheduled for 2:00 PM tomorrow."

The latter said that there was no problem and that they would definitely notify everyone.

After hanging up the phone, Wang Duoyu notified the heads of several departments, including the Department of Mechanical Engineering, and asked them to attend the meeting on time.

He also called Liu Deben.

Wang Duoyu spent a lot of time on this observatory project.

However, once this project is established, the teachers and students majoring in astronomy will definitely be the most excited, because this will be most beneficial to them.

In addition, the professors and students in the Department of Physics will also be very happy.

Paying attention to the movement of celestial bodies, observing black holes and supernova explosions, etc., these are all very cutting-edge physical science research, and they must be very interested in it.

It’s just that there was no such astronomical telescope project in the country before. A large optical telescope with a lens of five meters in diameter is a very cutting-edge technology even in today’s international community.

Soon, it was 1:50 p.m. the next day. All the department heads, professors, and others who had received the notice arrived at the large conference room on the first floor of the Department of Mathematics building ten or fifteen minutes early.

Wang Duoyu and Liu Deben also walked into the meeting room at 1:55.

When they saw the two of them come in, Yu Zhengze and the others were stunned for a moment, and then they secretly wondered what project it was. Even Secretary Liu was attending this meeting.

The departments participating in this meeting include the Department of Information and Communication Engineering, the Department of Mechanical Engineering, the Department of Mechanical Engineering and Automation, the Department of Materials Science, the Department of Physics, etc., with a total of 63 people participating.

Everyone knows that this meeting was initiated by Wang Duoyu, so everyone speculated that this might be related to the previous Nebula supercomputing project.

In fact, most of the professors in the conference room did not know that the Nebula supercomputer project had been completed, let alone that the Dawn supercomputer project had been launched. Only a few department heads or professors such as Yu Zhengze knew something, but they were not clear about the details.

Therefore, before the meeting begins, no one is quite sure what this meeting is about.

"Thank you all for coming to our meeting. I won't waste your time, so Xiao Su, please help me distribute the information."

After Wang Duoyu spoke, Su Zhenghuai began to distribute information.

Soon everyone had a copy of the information, and the professor who got the information first exclaimed in surprise.

In particular, Professors Li Yuming and Zhu Lishun from the astronomy department were immediately surprised.

"Professor Wang, is this true? Is Harbin Institute of Technology really going to build a large optical telescope with a diameter of five meters?"

To be honest, this kind of project is really awesome!

It’s not just because the project itself is awesome, but also because of the technology!

If it weren’t for the super awesome technology, how could Wang Duoyu dare to establish such a project?

Unfortunately, Li Yuming and Zhu Lishun thought too much. Wang Duoyu did not have such technology at all. If he did have it, he would probably need to purchase it from abroad.

But how can foreigners sell directly to domestic markets?
Either find a way or wait for the opportunity.

Yes, opportunity!
"Professor Li, I know you're anxious, but please don't be anxious."

Wang Duoyu said with a smile:
"Everyone, please take a look at the document first. Let me briefly explain that Harbin Institute of Technology is indeed planning to build an observatory. We are already raising the initial funding of 1 billion RMB and 20 million US dollars for this project."

"You might not be aware that the design and construction of a large optical telescope is not that simple. The annealing process alone can take one or two years."

"So the initial project funding of 1 billion RMB and 20 million USD is almost enough. We can raise the subsequent funds slowly."

"The entire project will be divided into 27 smaller projects. I've already roughly outlined which projects require which technologies, but I need you to provide a detailed breakdown of the personnel, funding, and equipment required."

After Wang Duoyu finished speaking, Zhu Lishun immediately raised his hand and asked his question: Professor Wang, will you participate in this project?
"No, I won't participate in this project!" Wang Duoyu shook his head directly, and Zhu Lishun and others immediately felt disappointed.

Yu Zhengze and the others felt the same way, and were even very puzzled. It was obvious that Wang Duoyu had already taken the initiative to mention this project, and even successfully persuaded Liu Deben, the stingy butler, to invest 1 billion RMB and 20 million US dollars in this project.

If Wang Duoyu did not participate in this project, how could Liu Deben agree to it?

"However, although I am not involved in this project, haven't you noticed? This project does not have any computer-related sub-projects, right?" After hearing Wang Duoyu's words, everyone hurriedly lowered their heads and looked through the list of names of the 27 small projects. After reading it from top to bottom, and after confirming again and again, they did not see any related projects.

When everyone was surprised, Wang Duoyu continued to speak:
"Yes, the Nebula supercomputing project that I lead can actually be considered part of this project. I will allocate some computer-related researchers to participate in this project and provide technical support for the computer software and hardware for this telescope project."

Just like the Polar Bear Empire BTA-6 telescope that Wang Duoyu mentioned when chatting with Liu Deben, it also used the best computer technology at the time.

However, in Wang Duoyu's opinion, this computer seems a bit weak nowadays.

Anyway, Wang Duoyu doesn't think much of this computer.

Li Yuming, Yu Zhengze, Zhu Lishun and others finally breathed a sigh of relief.

If that's the case, then it's okay.

At least Wang Duoyu is involved in this project.

Otherwise, everyone will definitely feel unsure and may not know whether the project will fail.

In fact, since 1980s, among the many projects of Harbin Institute of Technology, basically none of them have failed, because there is no shortage of money or people, so of course they will not fail.

Of course, if it is a project with backward technology, that’s another matter.

Today's meeting lasted for an hour and ended quickly.

Wang Duoyu has very high expectations for this project and has set the task time at ten years, but if it can be completed earlier, he will definitely receive a reward.

As Wang Duoyu participated in more and more projects, the research and development time of many projects became very long.

The Mach 5 fighter jet project will take as long as twenty years and may not even be successful.

If you think about it carefully, the previous distributed computer projects only took half a year. Although the Nebula supercomputing project took two years, it actually only took about one year and ten months.

After Wang Duoyu finished the telescope project, he plunged into the research of chaos-complex dynamical systems.

At this time, the Dawning supercomputing project was officially launched.

Of the total project investment of 8 billion yuan, more than 1.2 billion yuan has been spent during the project preparation stage. A large amount of funds has been lost like water.

Every flow of funds was carefully checked, but after seeing it, Lu Gongliang and others couldn't help but panic: Isn't this being made too fast?
No matter what Lu Gongliang and the others thought, Pang Dianchen, Ci Yungui and the others were busy with their own affairs.

The three patriarchs of Harbin Institute of Technology have the right to supervise the use of funds for the Sugon supercomputing project, but they do not have the right to manage it, and they cannot even ask about it.

If during the supervision process, it is discovered that the project funds are involved in irregularities or illegalities such as corruption, then an investigation can be conducted.

In the blink of an eye, it was late October. Wang Duoyu looked at the completed thesis and finally breathed a sigh of relief.

“I’ve never felt so refreshed before.”

In a paper on chaos and complex dynamical systems, Wang Duoyu developed a new mathematical tool that can completely solve the problem of approximate solutions to third-order equations.

Thanks to this paper, Wang Duoyu gained a deeper understanding of complex dynamical systems, parameter space, hyperbolic geometry, etc.

So he thought more and felt that he might really need to pause for a while and delve deeper into the methods of complex dynamical systems, number theory and algebraic geometry, and how they could work together.

He had thought before that the unprecedented setbacks he encountered in the Riemann hypothesis and the Langlands program needed to be compensated by success in other fields.

Sure enough, there is nothing wrong.

After starting to study complex dynamic systems, his brain became more active.

After putting the paper on complex dynamic systems for solving approximate solutions to third-order equations into the bookshelf, Wang Duoyu did not read the paper proving the Collatz conjecture that had been stored for more than two years. He turned around and sat back at his desk to continue working.

The paper proving the Collatz conjecture was written in February 1982, but it had been gathering dust and had never been taken out by Wang Duoyu.

There were several papers on the geometric Langlands conjecture before, but they were all published by Wang Duoyu.

So it was a 'difficult birth'.

It's just because Wang Duoyu needs to ensure that at least one of his papers is on the bookshelf to "deal with" some special situations.

Even though Wang Duoyu has not encountered any special situations so far, he would not easily publish such a paper.

"Ok?"

Sitting at his desk, Wang Duoyu stared at the polynomial equation he had written and suddenly fell into deep thought.

In the process of studying complex geometric objects, he thought of many things. Just now, he was exploring the solutions to polynomial equations and found that it seemed somewhat similar to the process he had previously solved problems like Fermat's conjecture.

So his brain couldn't help but call up those previous memories, and after some thought, he began to deduce again.

Sheets of manuscript paper were filled with densely packed mathematical formulas. If an outsider saw these almost incomprehensible mathematical symbols, he would definitely have a headache. But for Wang Duoyu, not only would he not have a headache, but he would be very excited instead.

As time passed, Wang Duoyu suddenly realized that he must have seen a new problem.

It is somewhat similar to the previous ABC conjecture, which is a related mathematical problem that has not been raised by predecessors.

This new conjecture is actually an important problem in Diophantine geometry. It is actually about solutions involving more complex geometric objects, namely Shimura clusters.

The so-called Shimura cluster is actually a type of algebraic cluster with important arithmetical significance, which originated from Goro Shimura's research on the moduli space of Abelian clusters with additional structures in the 1960s.

Moreover, Shimura varieties not only occupy a core position in algebraic geometry, but are also closely related to fields such as number theory and automorphic forms.

Let’s put it this way, the connection between the zeta function of Shimura varieties and the automorphic L function is one of the core issues of the Langlands program. This research direction has promoted the deep integration of number theory and algebraic geometry.

"After going around in circles, I'm finally back. Or perhaps I've never left."

Wang Duoyu muttered to himself, chuckled, and continued to work hard.

To be honest, he did want to give up the Riemann hypothesis before, simply because the Riemann hypothesis was really too difficult.

If the Riemann hypothesis cannot be solved, then it would be a pipe dream to promote the development of the Langlands program.

But after strolling around, he came back.

Of course, he has only proposed a conjecture about solutions involving more complex geometric objects, which he calls the 'Wang Duoyu Geometry Conjecture'.

Regarding the naming of the conjecture, he also followed the unspoken rules of the mathematical community and named it after himself, rather than like the previous ABC conjecture.

It’s just a matter of taking what’s available, so just use whatever works best.

Having too many thoughts will restrict yourself, which is not a good thing.

Ding Ding Ding!
At this moment, Wang Duoyu was suddenly brought back to reality by the phone next to him, and his brain was forced to stop working at high speed.

He had hung up a sign saying "in seclusion" and ordered his secretary, Su Zhenghuai, not to disturb him unless it was an emergency.

In addition, he has set up the signal jammer in the office to be continuously turned on and will not be disconnected. Even if the entire teaching building loses power, there will be backup power in his office to continue to activate the jammer.

What's more, the power supply in his office is separate from the other power supplies in the teaching building. They are two separate systems.

It's just because there is a supercomputer in his office, which requires a special power supply. Otherwise, after this big guy is started, the entire teaching building, and even several nearby teaching buildings with the same power line, will lose power.

So it was impossible for anyone to call him during his office hours, simply because the landline phone lines had been removed and the PHS mobile phone on his desk had no signal.

After frowning for a moment, he still picked up the phone. When he saw that the caller ID was Liu Xiaoli, he couldn't help but be stunned.

The functions of the Xiaolingtong mobile phone are very simple. It does not have text messages, but it has an address book and caller ID, so the incoming call is no longer just a simple number, or there is no other display at all.

"Hey, Xiaoli, what happened?"

After answering the phone, Wang Duoyu, who thought something had happened, immediately asked.

While speaking, he had already stood up and walked towards the door.

Nowadays, the person closest to him is Liu Xiaoli, followed by brothers Wang Junhong and Wang Junan, and then sisters Wang Meili.

Normally, Liu Xiaoli would not disturb him, but when she called him at this time, Wang Duoyu thought something had happened.

"Dad, why don't you come back for dinner? We are already full."

The voice coming from the other end of the phone was not Liu Xiaoli's, but the voice of the little brat Wang Junhong. Of course, there was also the noisy voice of Li Rongrong and the other little guys.

It’s not that the reception on the PHS or cordless phone is too good, but that the little brats like Li Rongrong are too noisy.

Children over one year old love to play the most.

If they are outside, they will definitely be relatively quiet, but if they are at home, haha, they can even tear down the house.

Wang Duoyu was stunned for a moment and subconsciously looked up to the window. From what he could see, it was indeed dark outside.

In fact, it gets dark very quickly in the Ice City in late October. It is already dark at five o'clock, so he usually gets off work around six o'clock, so of course he doesn't feel much.

On the other hand, dinner at home is not until 7pm, so he is not in a hurry.

However, he also saw the big clock next to the window at this moment. The hour and minute hands on it showed that it was already seven o'clock.

He certainly wouldn't think that it was 7:35 in the morning. After all, he was not alone. If he stayed in the office all night, Liu Xiaoli would definitely be worried.

Even though he worked all night every day, he always had his three meals on time. It was rare that dinner was delayed by 35 minutes today.

"Okay, Dad will be back soon."

Wang Duoyu said with a smile, then glanced at the math manuscripts on the table, got up and left without touching them.

When he was leaving, he told the security staff standing guard at the door that there was no need to clean the office.

The security staff immediately understood what was going on, so they nodded seriously to show that they understood.

When Wang Duoyu returned home, the little guy immediately rushed over to him and said, "Dad, aren't you hungry? I was very hungry after six o'clock."

The little guy was picked up by his father and expressed his curiosity.

"Of course you're starving. You've been playing and running around since you woke up this afternoon, sweating all over and even needing a change of clothes."

Liu Xiaoli, who followed over, said with a smile.

A child who is almost four years old, especially Wang Junhong, who is a naughty guy, would run around everywhere all the time if it were not for studying that could keep him focused.

It was late October and the heating had already been turned on in Ice City, so he was playing around indoors.

It's freezing outside, and it's definitely not suitable to stay outside for a long time, otherwise you will freeze to death.

But when staying at home, it is warm, but the little kid will definitely not stay still all the time, he will definitely walk around everywhere.

"Are you busy today? It's almost eight o'clock. How about I bring you food next time?"

After muttering about the little brat, Liu Xiaoli discussed with Wang Duoyu with concern.

He shook his head and refused:

"No, it's fine for me to come back for dinner. Besides, I can't sit for a long time, so I should get up and move around."

Although he can be considered a workaholic to some extent, he cannot always be such a workaholic.

Especially sacrificing his physical health for work is something he is unwilling to do.

Work is never finished, but physical health is easily damaged.

Regular diet, a happy mood and proper exercise are the best lifestyles.

After hearing this, Liu Xiaoli stopped trying to persuade her.

After dinner, Wang Duoyu helped the little ones finish their homework, played a few games with the children, and then told them stories after they took a bath before going to bed.

After finishing the work, it was already ten o'clock in the evening.

He doesn't do this every day. The task of telling bedtime stories to children is usually done by Liu Xiaoli and others. He just helps out occasionally, that's all. He is not so free every day.

After finishing his work, Wang Duoyu took a shower and lay down on the bed. It was already around half past ten.

Go to bed before 11 o'clock, this is the daily sleeping time, because you have seven and a half hours of sleep every day, and take a nap of about fifteen to twenty minutes at noon, which is almost enough.

But today, as soon as he lay down, Liu Xiaoli next to him said that she wanted to do fill-in-the-blank questions today.

Doesn't this mean he'll have to get up a little later tomorrow?

Why didn’t you say it earlier?
Forget it, since she has such a request, Wang Duoyu can't refuse.

Days passed one by one, and the end of October soon arrived. Wang Duoyu, who was in the office, wrote on the manuscript paper:

"We plot the two points z and f(z) on this plane, then substitute f(z) into the equation to get f(f(z)), and then we get f(f(f(z)))..."

This is actually the operation of "infinite nesting dolls". In this way, after drawing all the points, we can actually get a graph.

Wang Duoyu doesn't even need to draw it, he can already conceive of its general shape in his mind.

Because this is actually an elliptic curve.

As we all know, the elliptic curve is symmetrical above and below, so assuming there are two points P and Q, then the mirror point R of the third intersection of the line PQ and the curve on the x-axis is P+Q, and the mirror point of R is -R, that is, -R=P+Q, then P+Q must also be on the elliptic curve.

"Well, if that's the case, then the set of points in the dynamic system that are not only limited in range but also able to return to the starting point are called finite orbit points."

After muttering to himself, Wang Duoyu paused, then stood up and thought for a moment, then sat down again and continued to deduce.

Roughly speaking, (one-dimensional) complex dynamical systems study the long-term behavior of rational functions iterated over the Riemann sphere.

In order to calculate the roots of the real polynomial g(x), Newton proposed the Newton iteration method, which is a numerical method for solving nonlinear equations in the real and complex number fields.

"That is, if we choose a suitable initial point, we will find that f(x)=xg(x)/g^(x)."

Before Wang Duoyu could continue writing, the alarm clock next to his desk suddenly rang, reminding him that it was time to get off work.

Since the last time, Liu Xiaoli's words made him realize that his 'retreat' had indeed disrupted his normal schedule.

So he set an alarm at his desk to remind himself.

Since the alarm clock had already rung, Wang Duoyu briefly recorded the key points and inspirations after turning it off, and then packed up the mathematical manuscripts.

I have to clean the office today.

When they got home, Wang Junhong and the other little kids were very happy because Wang Duoyu came home on time and had dinner with them.

But not long after dinner, Yuan Zuliang rushed in from the door:
"Professor, it's urgent."

(End of this chapter)