In fact, after meeting the younger version of Mr. Wang at the weather Doppler radar assembly site.
Xu Yun had certain psychological expectations that the dungeon would take some special directions and meet some unexpected people.
as expected.
Later, Qian Wushi, Sun Junren, Luo Shijun and even Yuan Guoliang and Zhou Kaida, who had never been to the 221 base in history, were all blown to the Golden Silver Beach by Xu Yun's little butterfly wings.
But Xu Yun never expected it.
Yuan Guoliang and the others are not the ones with the most outrageous painting style. Today, several math giants in modern Chinese history have also been slapped on this grassland.
Hua Luogeng.
Chen Jingrun.
Feng Kang.
Just look at these three names.
Taking out any one at random is enough to make future generations admire and tremble.
The first is Hua Luogeng.
The story of Hua Lao began in 1930.
At that time, Xiong Qinglai, head of the Department of Mathematics at Shuimu University, saw a paper in Science magazine:
"The reason why Su Jiaju's algebraic solution to the quintic equation cannot be established".
Xiong Qinglai couldn't help but marvel at the exquisite derivation process of the paper.
At the same time, judging from the thesis skills and calculation process, this article should be written by an international student.
However, Xiong Qing searched through the directory of returned overseas students, but could not find this person named Hua Luogeng.
So he asked in the office:
Who knows this Hua Luogeng?
Everyone shook their heads and said they had never heard of this person.
In the end, Xiong Qinglai found out that this young man actually...
Didn't even go to high school.
With the help of three textbooks, he became self-taught and published 6 articles in "Science" magazine.
Ever since.
Hua Luogeng was recognized by Xiong Qinglai and eventually entered the top university lecture hall in China as a junior high school student. Five years later, he was recommended to study in Cambridge.
However, Hua Luogeng did not want to study for a doctorate at that time, but chose to enroll as a visitor - because being a visitor could break through the constraints and study seven or eight disciplines at the same time.
He believes that academic qualifications are not important, but knowledge is important.
This decision also left Hua Luogeng an anecdote that will be talked about by future generations - this mathematician only had a junior high school diploma.
Then two years at Cambridge.
Hua Luogeng wrote twenty papers, among which a theory he proposed was internationally named "Fahrenheit's Theorem".
After the founding of the People's Republic of China.
Hua Luogeng, who was working as a professor at Princeton and recovering from a leg injury, resolutely returned to China. The "Open Letter to All Chinese Students Studying in the United States" was written by him.
True.
Due to various reasons, Hua Luogeng's achievements in mathematics may not be considered the best in the world.
For example, he has made great achievements in the field of functions of multiple complex variables, but there is still a certain distance between him and the Fields Medal.
But for the Chinese people.
Mr. Hua Luogeng’s contributions deserve to be among the best in the history of mathematics!
Because he is the founder of many fields of mathematics in China and is a standard path-breaker. This cannot be compared with a certain achievement or theorem in mathematics.
Mr. Hua Luogeng first did basic mathematics (pure mathematics), and later, like Qian Wushi, he switched to applied mathematics due to national needs.
Then he entered the field of computational mathematics, and finally opened up the foundation of Chinese management science and economic theory.
In a sense.
As long as you have experienced the nine-year compulsory education, then you can be regarded as Mr. Hua Luogeng’s disciple and grandson.
So it's the same as Lu Guangda.
Maybe thousands of years later, not many people in other countries in the world will know the names of Lu Guangda and Hua Luogeng.
But for any Chinese.
They are all ancestors who should be remembered and respected in their blood.
Except for Hua Luogeng.
The remaining Chen Jingrun and Feng Kang are also the top mathematics experts in the country.
Of course.
When talking about Chen Jingrun, we have to mention another concept first:
"Goldbach Conjecture".
Later, with the publication of Xu Chi's reportage "Goldbach's Conjecture", Goldbach's Conjecture has long been a household name in China.
But in fact.
Goldbach's conjecture consists of two parts:
1. Every odd number greater than 7 can be written as the sum of three prime numbers;
2. Every even number greater than 6 can be written as the sum of two prime numbers.
At the same time, look at the statement of the entire conjecture.
If part 2 is correct.
Then you can directly get part 1 according to the formula n=(n?3) 3, which is also correct.
Therefore part 2 is called the strong Goldbach conjecture, and part 1 is called the weak Goldbach conjecture.
The first part of Goldbach's conjecture...that is, the weak Goldbach's conjecture, was completely solved in 2013 by Harold Hoofgot, a researcher at the Ecole Normale Supérieure in Paris.
The current best result of part 2 of Goldbach's conjecture is called Chen's theorem.
That's right.
This part of the result was proved by Chen Jingrun - as its significance has been mentioned a long time ago, I won't go into details here.
In other words, Chen Jingrun did not prove Goldbach's conjecture, but Chen Jingrun's derivation is currently recognized as the result closest to Strong Goldbach's conjecture.
at the same time.
Chen's theorem also blocks the path of trigonometry and valuation, and the same idea cannot solve 1 1.
This issue was also one of the most exciting fields in later generations of civil science. When Xu Yun was writing novels in later generations, someone even claimed to have proved part of 1 1, hoping that Xu Yun could submit the calculation process.
Out of curiosity, Xu Yun also asked about the derivation process.
Then the 'great god' gave a lot of warnings [I have evidence, so don't try to steal my results and publish them]. After that, he sent a photo of a standard A4 paper:
About half of the above is the derivation process.
That's right.
To prove the derivation process of 1 1, only half of an A4 page was used...
This was probably the news that Xu Yun had seen at that time was more explosive than fried rice noodles with chicken essence.
If Goldbach or Euler were alive in heaven, they would probably be able to revive you directly.
all in all.
Hua Luogeng and Chen Jingrun, the pair of masters and apprentices, should be the top generation of mathematics inheritors in China.
Of course.
The remaining one, Feng Kang, is also extremely naughty.
For example, in the mathematical world of later generations, you often see a question - who is more capable, Chen Shengshen or Hua Luogeng?
But in fact.
If this issue is discussed in the field of computational mathematics.
So the person who has the ability to benchmark against Chen Shengshen should not be Hua Luogeng, but Feng Kang.
Feng Kang is the founder and pioneer of computational mathematics research in China, an academician of the Chinese Academy of Sciences, and the founder of the Computing Center of the Chinese Academy of Sciences.
His research "Hammel system's symplectic geometric algorithm" won the first prize of the National Natural Science Award, and his computing power is among the best in the history of modern mathematics.
Many people in later generations hung themselves from the "tall tree" in college, and many of the lesson plans were written by Feng Kang.
all in all.
Be it Hua Luogeng, Chen Jingrun or Feng Kang.
These big guys are all top scholars that Xu Yun needs to look up to, and now they and Yu Min actually want to become his assistants?
Doesn’t this mean that the four S-game FMVPs are playing a game of four guarantees and one for themselves?
more importantly......
Yu Min is good at differential equations.
Chen Jingrun is familiar with constant estimation research.
Hua Luogeng is currently majoring in applied mathematics.
Feng Kang is proficient in computational mathematics...
These four directions happen to be the same as what Xu Yun thought of before!
Of course.
The complexity of that matter far exceeded anything Xu Yun had done so far. Even with the addition of four top math masters, it was still not enough.
For example, that problem is difficult to solve....right?
but no matter.
With the help of these four big guys, some of Xu Yun's previous ideas can be put on the agenda.
Something you have to say.
At this time, Xu Yun's certainty about that matter was at most 10%, but now it has increased to 16.879%.
And just when Xu Yun was thinking.
Li Jue, who was opposite him, spoke again:
"Xiao Han, Professor Hua Luogeng and Comrade Chen Jingrun are all researchers at the Huaxia Institute of Computational Mathematics. In addition, Professor Hua is also the vice president and department chair of the University of Science and Technology of China."
"Comrade Feng Kang specializes in computational mathematics. Part of the previous analysis of meteorological Doppler radar information data was completed by Comrade Feng Kang."
"These three comrades, plus the strength of our base, should be enough to solve most mathematical problems."
"So if you have any ideas, feel free to mention them. These comrades are all elites who have been vetted. You don't have to worry about their consciousness."
Hear this.
Xu Yun could only put on an expression as if he were meeting for the first time, and took the initiative to extend his hand:
"Hello comrades, my name is Han Li - everyone is my elder, just call me Xiao Han."
Hua Luogeng was the oldest among the people, and he had a vague leadership attitude. When he saw this, he took the initiative to help Xu Yun up from the ground:
"Comrade Han Li...oh no, I should call you...Xiao Han, right?"
"Xiao Han, we can use whatever titles we want. For example, you can call me Lao Hua and Feng Kang and Lao Feng, but we still have to prioritize our work."
"If you need any help from us next, just ask. You are our leader at work. You don't have to worry about the so-called superiority - we are all comrades."
Feng Kang, Da Yu and others on the side also nodded.
Most people these days have very pure thoughts. As long as you have the ability, age is not a big problem at all.
For example, Yu Min's team later included several old experts in their 50s and 60s, but everyone still listened to Yu Min's instructions.
Then he took a deep breath, pondered for a moment, and said solemnly:
"Professor Hua, you have just arrived at the base. Logically speaking, you should take a short rest and get used to it for a few days before starting to work."
"But now we are racing against time, so I have the audacity to make a request. I hope you can help me."
Hua Luogeng and others looked at each other after hearing this, and then straightened their bodies together.
Although no one spoke during the process.
But their actions at this time clearly showed their respective attitudes:
Just ask!
So Xu Yun also sat up a little straighter and said to Hua Luogeng:
"Professor Hua, I wonder if you know anything about numerical approximate solutions to variational problems?"
"Numerical approximate solutions to variational problems?"
Hua Luogeng was slightly startled, then nodded:
"I understand a little bit, I understand a little bit."
As we all know.
In calculus, there are three concepts: differential, difference and variation.
Differential refers to how much the function f(x) changes when the independent variable x changes a little...that is, dx.
The difference can be regarded as a discretized differential, that is, Δy.
When the change is very small, it is approximately regarded as dy.
The concept of difference is still relatively elementary, and you should have been exposed to it a lot in high school.
As for variation, it is relatively complicated.
It is regarded as a differential in an infinite-dimensional space, and is also called Frechet differential in later generations.
This thing is actually a copy of differential in infinite dimensional space...ahem, promotion.
When Frechet differential acts on a functional, it is called variation.
What is called a functional?
It is to map the function space (infinite-dimensional space) to the number field, that is, to map a function into a number.
Let’s use an analogy.
There are countless paths from point A to point B. Each path is a function, right?
There are countless paths, and each function...that is, the length of the path is a number, right?
Then you choose the shortest or longest path among these countless paths. This is the problem of finding the extreme value of the functional.
The independent variables of the function space are called clusters (autonomous functions). When the cluster changes a little bit, the value of the functional changes. This is actually variation.
Very simple and easy to understand.
In this current era.
There are two types of numerical approximate solutions to variational problems.
One type is to use the difference quotient instead of the derivative quotient in the energy expression, thus obtaining the difference form.
This chapter is not over, please click on the next page to continue reading! This is a type of difference format given the principle of variation. It was first seen in Euler, and later in Courant, Friedrich, and Lewandowski (not a football player)
That) and others.
Another type of approximate solution method is the Ritz-Galerkin method, which limits the variational problem to a limited-dimensional subspace.
Then Xu Yun paused, organized some words, and said:
"Professor Hua, since you know something about this aspect, I will go on directly."
"Among the two current variation methods, the numerical approximate solution to the first type of variation problem is relatively inefficient and has not received much attention for a long time."
"The second type of method has been widely used because it has distinctive characteristics - it can better maintain the characteristics of the problem."
"However, its disadvantage is that it is more difficult in the case of complex coefficients and is not versatile and flexible enough."
"Although it is relatively complete in theory, it is difficult to verify the convergence conditions in specific situations."
"Nowadays, as computing requirements increase, the second method has gradually become inefficient, and it can even be said to be lagging behind."
"yes."
Hearing Xu Yun's words.
Hua Luogeng showed a trace of emotion on his face, sighed slightly and said:
"Xiao Han, you are right. The current numerical approximate solution to variational problems is indeed relatively complicated."
"So now, in order to pursue high enough accuracy, most of us can only take the differential approach - in fact, this is also true abroad."
"For a long time, our computing efficiency has been greatly affected, and everyone's negative feedback... to be honest, there is quite a lot."
Hua Luogeng finished speaking.
Feng Kang, Chen Jingrun and even Yu Min on the side also nodded.
As Hua Luogeng said.
At present, almost all problems related to conservation principles or variational principles at home and abroad use the differential approach.
Generally speaking.
The advantages of the differential approach are that it is versatile, simple, and can sometimes achieve higher accuracy.
The disadvantage is that it is easy to fall into blindness and the physical and mathematical properties are poor.
For example, when the self-adjoint problem is differentiated.
Without special consideration, the discrete matrix is often asymmetrical, resulting in distortion of the solution and difficulty in solving it.
It is difficult to deal with complex internal and external boundary conditions, irregular coefficients and geometric shapes, irregular grids, irregularities in solutions, singular discontinuities, etc., and it is not easy to unify.
However, the variational method is too cumbersome, so the industry can only temporarily use the old-fashioned differential approach.
However, what surprised Hua Luogeng was.
Xu Yun did not follow his words to express his position, but asked another question:
"In that case...Professor Hua, I wonder if you have ever considered numerical approximate solutions to optimization variation problems?"
"Optimization solution?"
Hua Luogeng's very kind face was slightly startled at first, and then he quickly nodded, but his tone was still very light:
"Of course we tried to optimize it. After all, this is an important direction in the application of mathematics - but unfortunately we tried several times and ultimately failed."
"In addition, as far as we know, countries such as Neon, across the sea, and Germany are also working on these aspects, but without exception, they all ended in failure."
Say it.
Hua Luogeng suddenly realized something, looked at Xu Yun again, and asked:
"Why, Xiao Han, I heard you ask this...Do you have an optimization plan in this regard?"
"That's right."
Xu Yun frankly admitted Hua Luogeng's doubts and explained:
"To be honest, what I want to ask of you is to come up with a new set of numerical approximate solutions to variational problems."
"?!"
Hua Luogeng's breathing suddenly stagnated, and Chen Jingrun and Feng Kang on the side also made a faint sound of inhaling, but Hua Luogeng seemed relatively calm.
A few seconds passed.
After coming back to his senses, Hua Luogeng leaned forward and asked:
"What's the idea? Xiao Han, what is the specific idea?"
"Thinking..."
Xu Yun first glanced at Feng Kang calmly, then withdrew his gaze and picked up paper and pen from the table:
"Professor Hua, I will tell you the truth."
"This idea is also an essay I saw in a book in the Cambridge Library. I don't know whether it is true or not. Just let me know if it is feasible."
“The general content of it is roughly that if we adopt the reasonable kernel of the Ritz method, but abandon the special function of the classical form and replace it with a grid-format function as the coordinate function, we can get another type of difference scheme based on the variational principle.
"
"Then let ? be a plane bounded connected open domain, ? = ?u???, in order to mesh ?, first make an approximation domain ?', and its boundary ???' is a polyline loop...
..."
"Then replace the solution function class ??12(?) or its subset in the continuous model with the finite-dimensional subspace ??′(?) or its corresponding subset..."
"And calculate the expression form of the energy expression??(??) and other definite solution conditions in the discrete space??′(?)..."
swish swish——
Xu Yun wrote and drew on the paper, and soon the only sound left in the room was the rustling of the pen tip.
As the content on Xu Yun's paper increases.
The more Hua Luogeng and the others listened, the more surprised they became, and the light in their eyes became more and more intense, as if they had seen some kind of treasure.
Li Jue, who was retired from the military, became more and more confused the more he listened, his scalp itched, his eyes were hollow, and he had at least opened the fourth-level gene lock in the infinite terror.
More than ten minutes later.
Snap.
Xu Yun gently put down his pen and said to Hua Luogeng and others:
"Professor Hua, that's the general idea. I'm not sure whether it's possible..."
As a result, he hadn't finished the last word "行".
Snapped!
Hua Luogeng slapped the table hard:
"Wonderful, wonderful!"
"Start from the bounded linear type, based on the unique solvability of the His space, and finally just deduce the definite solution conditions!"
"Old Feng, what do you think?"
Feng Kang, who was next to Hua Luogeng, touched his chin when he heard this. This usually very steady man also made a rare conclusion at this time:
This chapter is not over yet, please click on the next page to continue reading! "Professor Hua, I have no objection - this idea is too sophisticated, and I don't know which genius came up with the inspiration. I really want to meet him.
....."
Looking at Feng Kang with a sigh on his face.
Xu Yun sighed slightly in his heart:
Academician Feng, the one who came up with this idea was none other than yourself...
That’s right!
What Xu Yun entrusted Hua Luogeng and others to study this time is exactly...
Finite element!
When I introduced Feng Kang above, I actually didn’t finish one sentence.
That is, compared to the Hamiltonian system symplectic geometry algorithm that once won the first prize of the National Natural Science Award, Feng Kang's more eye-catching achievement is...
Finite element technology was invented independently of the West.
The idea of finite element is actually to divide a complex continuum into a limited number of simple discrete units.
Then mathematical methods are used to solve the physical quantities of each unit, and finally the physical quantities of the entire continuum are obtained through combination or interpolation.
The derivation of finite element is generally divided into the following steps:
Establish a differential equation model to describe the physical behavior of the continuum.
Then select the appropriate unit type.
Such as line elements, surface elements, volume elements, etc., divide the continuum into a finite number of elements, and determine the nodes and degrees of freedom of each element.
Then select an appropriate shape function to describe the distribution of physical quantities inside each unit, such as displacement, temperature, stress, etc.
Then the variation principle or the weighted residual method is used to convert the differential equation model into a system of algebraic equations, that is, a finite element equation.
Then the finite element equation is solved to obtain the physical quantity value of each node.
Finally, interpolation or post-processing methods are used to obtain the distribution of physical quantities within each unit and throughout the continuum.
The proposer of finite element technology in the West is R. Clough, who proposed the term concept of finite element last year.
However, this technology was actually implemented and published as a paper later than proposed:
It will not be published in "International Bulletin RILEM"...that is, International Express until November next year.
In this paper.
R. Clough conducted a finite element analysis of the Norfork Dam in Arkansas and accurately predicted the location and size of the dam's cracks through calculations, which were consistent with the cracks experienced during the construction of the dam.
So R. Clough became popular instantly, and in a short time it was full of people.
But in fact.
At about the same time that R. Clough proposed the concept of finite elements.
Someone in China also independently proposed finite element technology, and it was completely different from R. Clough's core logic.
And this person is...
Mr. Feng Kang.
It should also be mentioned that.
The finite element invented by Mr. Feng Kang is not only suitable for concrete structures, but also for thermo-viscoelastic finite element research. It took eight years for the West to achieve this breakthrough...that is, four years after Feng Kang published his paper.
.
Unfortunately, due to the obvious lapse of domestic and international existence at that time, Mr. Feng Kang's article was not taken seriously - he only received the second prize of the National Science and Technology Award.
Of course.
Objectively speaking.
Mr. Feng Kang's finite element technology can indeed only be regarded as "developed independently from the West". If he is said to be the originator, it would also be somewhat distorted.
After all, R. Clough proposed the concept five years earlier than Feng Kang and produced the actual paper two years earlier.
But no matter what, Mr. Feng Kang is worthy of being called the founder of the field of finite element.
By the way.
When later generations mention the Chinese scientific community, a voice will often appear:
[Your country boasts so much about it, how many foundational theories in science and engineering are there? 】
Let’s just list a few here. Next time you encounter this kind of problem, you can just throw it away:
Kohn-Shen Lujiu density functional calculation of self-consistent field equations, Shen Lujiu is from Xiangjiang.
Li-Yang phase transition theory, Li Zhengdao and Yang Zhenning.
Zhu-Nakamura theory, Zhu Chaoyuan, now a professor at South China Normal University.
LYP correlation functional, Y is Yang Weitao, a native of Zhongzhou.
X3LYP functional, X is Xu Xin of Fudan University.
M06 functional, the original developer was Zhao Yan, and the subsequent evolved version was developed by He Xiao.
SCAN functional, developed by Sun Jianwei.
Pseudo bond method for simulating enzyme-catalyzed reactions, Yang Weitao, Zhang Yingkai.
Tang Aoqing's molecular anharmonic Hamiltonian was proposed by Wang Shoujing in 1929.
ITS theory for calculating free energy, Gao Yiqin.
There is also the coupled perturbation equation in quantum mechanics. The proposer is Peng Mengxiong, the current deputy director of the base. (Someone asked me that question at station B a few days ago. After I replied to him like this, I was blocked, laugh)
Not understanding something and not existing are two completely different concepts.
The population base of the Chinese scientific research circle is here, and there will definitely be chaos, but to say that it is all about free money and favors is purely anti-intellectual.
I have said it countless times, that cliché:
There are only a few dozen academicians on the Internet who have been criticized and criticized. Even if they all have problems, there are more than 1,700 academicians of the two academies. How many people who are doing practical work have been turned into moths by inexplicable AOE?
Could it be that the launched aircraft carrier is fake, or did someone pump air out of the J-20’s WS15?
alright.
His eyes returned to reality.
all in all.
Later, Mr. Feng Kang's independent derivation of finite element was recognized at home and abroad, so Xu Yun had no idea of "justifying his name" like Yang Hui's triangle.
Also tell the truth.
Xu Yun actually had a good impression of R. Clough.
After being elected as a foreign academician of China, this old man did not have much property in China, but he donated money to Project Hope for 20 years, which amounted to tens of thousands of dollars every year. The year he stopped donating was not because he did not want to donate, but because
Because he died.
but......
no way.
Finite element is related to his next plan and is an indispensable and important part.
Therefore, he could only say sorry to Mr. R. Clough and let the finite element come out in advance.
According to the current development of this copy.
Once finite element technology appears.
There should no longer be any problem of barriers between Chinese and Western news. It will actually be a technology developed by a Chinese.
Of course.
In any case, R. Clough's contribution as the proposer of the concept will still be indispensable.
He can still leave a name in the history books, and he won't be as miserable as Roentgen in the 1850 copy, who was given to the Minotaur by wheat when he was only 7 years old...
After a while.
Xu Yun looked up at Hua Luogeng and asked:
"Professor Hua, if this idea is feasible, how long will it take you to solve the difference format of the variational principle?"
"...."
When it came to the specific implementation time, Hua Luogeng's expression became much more solemn.
He pondered for a moment, then turned around and discussed with Da Feng Kang and the others for a few words before giving a reply:
"It's time...Xiao Han, you have to be mentally prepared. Even with the help of the base's calculation team, this matter may not be that easy."
"After all, if my prediction is good, your plan shouldn't be final, right?"
"Based on the approximation properties and heavy algebraic forms, your final idea should have something to do with computers?"
Xu Yun blinked, regained his composure and gave Hua Luogeng a thumbs up:
"Professor Hua, your vision is incredible, this is it!"
"Yes, my final idea is to apply this logic to computer calculations. By then, neither boundary conditions nor discrete models will be a problem."
"So you have to give me a long break, otherwise there are some things... I'm afraid I can't wait."
Looking at Xu Yun who transformed into a pressure boy.
Hua Luogeng pondered for more than ten seconds, and finally stretched out four fingers.
Xu Yun frowned immediately when he saw this:
"Four weeks? Professor Hua, that seems a bit long..."
The clinker Hua Luogeng immediately shook his head and denied:
"Xiao Han, you misunderstood. The four stars on my finger are not four weeks, but..."
"The donkey returns to the circle four times, which means four days."
Four days.
The moment I heard this word.
The second half of Xu Yun's words got stuck in his throat, and his mouth opened into an O shape.
Oh my god?!
Four days?
He subconsciously wanted to tell Hua Luogeng how much calculation they were going to design, but before he spoke, he suddenly realized...
This is a calculation team composed of Da Da, Feng Kang, Chen Jingrun and Hua Luogeng!
Among them, Yu Da and Feng Kang, two middle-aged men with great strength, can be regarded as absolute sharp edges in the field of computational mathematics and can be said to be invincible.
In later generations, they are equivalent to the two prides of Melo in football, and there is an almost generational gap between them and the teams behind them!
Even Chen Shengshen, who is now staying across the sea, is probably still inferior to the two - after all, Chen Shengshen is already over fifty years old.
Even if we break away from the Chinese category, there are not many people in the world who can compete with them in terms of computing power.
After all, it’s still the same sentence:
The hydrogen bomb that is larger than the calculated one is over there. You either admit that there is time travel, or you can only say that it is larger than the calculus.
And there are so many people hanging on the wall,
four days.....
Doesn’t it seem that difficult to accept?
Once the calculation process produces the result.
The rest is the compilation time to implement on the computer.
Nowadays, the domestic computer level is not very different from that of the international level. There are still several big guys like Wu Jikang in charge of the computer institute. If it doesn't work, Xu Yun can just give it a try - a small job doesn't count as a job.
This way.
Xu Yun's plan seems...
Is it really possible?
If that were the case, it would be great fun.
after all.....
Not even Xu Yun had the slightest certainty that that plan would come true.
Think of this.
Xu Yun couldn't help but take a deep breath and looked up at Hua Luogeng:
"Professor Hua, in this case, I leave the mathematical deduction process entirely to you."
"Four days later...I'm waiting for your good news."
Hua Luogeng slapped his chest hard:
"Xiao Han, don't worry, I promise to complete the mission!"
And things have come to this point.
Li Jue's conversation with Xu Yun was almost complete today.
Xu Yun then took the initiative to say goodbye to Li Jue and followed Qiao Caihong back to the hospital to start rehabilitation.
That afternoon.
Xu Yun's special care ward was integrated, and Yang Kaiqu was placed in the ward for monitoring.
roommate 1.
Then one day later.
Lao Guo then brought another piece of news:
The first batch of large-scale collection of black soldier fly larvae...will arrive at the base in the afternoon!
...
Note:
I have been coding all night, and the 10,000-word update will continue for the next six days. If you have a guaranteed monthly ticket, please vote. This month's monthly ticket is very important. Please give me a helping hand!
