Chapter 643: Not everyone has your mathematical abilities!
Looking at the manuscript paper filled with calculations in his hand, Xu Chuan went through the entire solution process in his mind and experienced it in detail.
His good memory allowed him to accomplish this kind of thing easily, but he still had some doubts about the authenticity of being able to make a preliminary result on the "blunt object supersonic spoiler problem" so easily this time.
After all, this is a world-class problem.
Even though he has solved three Millennium Problems, he does not dare to say that he is invincible in mathematics and can solve all problems.
There are people outside the world, and there are mountains outside the mountains. In mathematics, there is no most difficult thing, only the more difficult one.
Even though it is now recognized as one of the seven millennium problems in mathematics, it is not the most difficult problem to solve in the entire field of mathematics.
The reason why the Millennium Problem is a Millennium Problem is that when the Clay Mathematics Institute was making the selection, through discussions with many experts in the field of mathematics, they believed that these seven problems were problems that could be solved in this century.
On top of this, there are some conjectures and problems that are almost universally recognized by the mathematical community as unsolvable in this century.
Such as ABC conjecture, standard conjecture, the unity of algebra and geometry, etc.
Some of these problems are based on the solution of the Millennium Problem, such as the unification of algebra and geometry, which is currently considered to be based on the solution of the Riemann Hypothesis; some are more complex problems, such as the ABC Conjecture.
The ABC conjecture is not well-known. Perhaps it is still in the "entry" stage in terms of public visibility, but it is by no means entry-level in terms of difficulty and status.
Many mathematicians agree that its difficulty is comparable to the Riemann Hypothesis, and may even be higher.
Because its essence interacts with the additive properties of integers (such as A+B=C) and the multiplicative properties (such as the concept of prime numbers - because it is defined by the multiplicative properties).
The complexity that can arise from the interaction of these two very simple properties is almost infinite.
Many conjectures in number theory that are extremely simple in expression but extremely difficult to prove, such as Goldbach's conjecture, twin prime conjecture, Fermat's conjecture, etc., all have the characteristics of the interaction between additive and multiplicative properties.
In addition, a very important branch in number theory - the so-called Diophantine analysis, which aims to study the integer solutions of algebraic equations with integer coefficients - has this characteristic throughout the branch.
If the ABC conjecture is solved, ancient number theory will take on a new life.
Therefore, Xu Chuan never believed that his achievements in mathematics had reached the peak, even though he had solved three millennium problems.
In the eyes of the world, he has stood at the top of the pyramid; but in his own eyes, he is still just a lonely boat swimming in the ocean of mathematics.
The future is too long and too far, and no one can see the end.
.......
After carefully savoring the experience of solving the 'supersonic spoiler problem of blunt-nosed objects', Xu Chuan opened his eyes and let out a long sigh of relief.
It seems that the lack of in-depth thinking and research on mathematics in the past half year has not caused his ability to decline in the field of mathematics.
He even vaguely felt that he had made further progress in mathematics over the past year.
It was a very strange feeling. Xu Chuan never thought that he could make further progress in mathematics despite never thinking deeply about many mathematical problems this year.
Staring at the calculations on the manuscript paper, there was a trace of unfinished interest in his eyes.
In the past year, or since he completed the Yang-Mills equation, he knew that his work in the field of mathematics had not gone very far.
Whether he is attending classes at NTU or instructing four primary school students, it is not a matter of mathematical thinking for him.
In daily life, apart from these things related to mathematics, I browse daily papers and journals, and invite reviewers for some mathematics journals such as "Annals of Mathematics" and "New Advances in Mathematics".
These things are not research to him, but more like a habit that has been completely integrated into his daily life.
But that's it. In the past year, his mathematical ability has not deteriorated. In fact, there is a faint possibility of further improvement.
If you want to explain this situation, the only possibility Xu Chuan can think of is that he has slowly added to his background in daily teaching and living habits in the past year.
Mathematics is a subject that requires more basic and cutting-edge logical thinking than other subjects. Every operation, proof, and drawing contains a process of logical reasoning.
If the foundation is not enough, even the top IQ will not be able to solve the problem, and if the cutting-edge thinking is not enough, no matter how strong the foundation is, it will not be able to solve the top conjectures.
This is a subject where logical thinking and underlying basic theorems coexist, and it relies heavily on the coherence of basic knowledge.
Poincaré is known as the last all-round mathematician. The reason why no other mathematical scholar has won the title of "all-round mathematician" since then is also related to this.
Because with the development of time, the mathematical system has become increasingly large after the 20th century.
Most mathematicians, faced with a mathematical system that is like a sea of knowledge, can only cut down one or two big trees to build their own boat and move forward.
Scholars like Terence Tao who are proficient in most fields of mathematics can be said to be very few in today’s mathematics community.
Not even saying that mathematicians who are proficient in most fields of mathematics, but proficient in three branches of mathematics, can be said to be rarer than wild giant pandas in today's mathematics world.
This is an inevitable trend with the development of mathematics. The growth of the knowledge system of each branch and category means that more time and energy are needed to learn.
Almighty, increasingly difficult.
Xu Chuan has never pursued omnipotence in mathematics. He has never had this idea. After all, he had always believed that his roots were in physics.
But now, with the changes in his choice of major fields of study in his life, and the learning methods that are in-depth in his daily life, it seems that he has gradually embarked on the path of becoming an all-rounder in the field of mathematics.
Especially this time, the solution to the 'supersonic spoiler problem' was as smooth as flowing water, which made him feel a little different.
It was difficult for him to explain clearly what it felt like, but he vaguely felt that it was important.
To say that the mathematical knowledge we have learned in the past seems to be more closely integrated after a year of accumulation?
...
Shaking his head, Xu Chuan put away the thoughts in his mind.
At present, he is still far away from being an all-powerful mathematician. Even though he has solved three millennium problems, it is impossible to master all branches of mathematics.
This kind of thing...just let it take its course.
Shaking his head, Xu Chuan returned his attention to the manuscript paper in his hand.
Although this is only a preliminary result, it has already taught him how to solve the high temperature and thermal barrier problems faced by the space shuttle when it returns to the atmosphere.
Although this is only a theoretical idea at the moment, Xu Chuan believes that it will not be difficult for him at least to turn this theory into reality!
...
After sorting out the manuscript papers on his desk, Xu Chuan entered them into the computer and printed them out.
After sorting out the paper, he took the manuscript and quickly found Academician Chang Huaxiang who was at the Institute of Aeronautics and Astronautics preparing for manned moon landing.
"Academician Chang, I have something here that may be helpful in solving the high temperature and thermal barrier problems faced by the space shuttle when it returns to the atmosphere."
In the office, Xu Chuan handed over the printed information in his hand.
Behind the desk, looking at Xu Chuan who hurriedly walked in, Chang Huaxiang just wanted to get up and say hello, when the information documents in front of him were handed into his hands.
Taking the document in a daze, he glanced at Xu Chuan in confusion, then at the pile of documents in his hand, and subconsciously asked: "What is this?"
"Part of the phased results of shock cone theory and supersonic turbulence problems, in a mathematical sense."
Xu Chuan said quickly: "Theoretically, I think it may help us solve problems such as high surface temperature and thermal barriers on the space shuttle."
Hearing this, Chang Huaxiang's heart was shocked and his pupils suddenly shrank.
What is the mathematical theory of the supersonic spoiler problem? Is it...that world-class problem in aerodynamics?
Randomly, he quickly lowered his head and flipped through the documents in his hand. The one stacked on top was exactly what he had speculated in his mind, a paper on the problem of supersonic spoilers.
Seeing Academician Chang Huaxiang begin to flip through the documents, Xu Chuan continued to explain: "In the 1950s, Professor Henry Allen of NASA proposed a shock cone theory, confirming that the blunt head
It can effectively push out a wide and strong shock wave at the bow during the spacecraft's return deceleration process, and keep the wave front away from the bow and surroundings, reducing the surface temperature of the space shuttle."
"But the blunt head can only partially optimize and slow down. These days, I have been studying how to solve this problem."
"If you actively use a "plasma torch" to ignite a shock cone in front, will the protection effect be better..."
As he spoke, he glanced around the office and landed on a whiteboard hanging on the wall.
He walked over quickly, picked up the rag and wiped off the black writing on the whiteboard, then picked up the marker pen in the pen basket and wrote quickly:
“Integrating the two-position and axially symmetric Reynolds-averaged complete N-S equations in a finite control unit V, we can get ??Q/?t·dV ?R→·dσ→?HdV....
."
The marker pen in his hand fell on the whiteboard, and a few lines of mathematical formulas quickly appeared on it.
While doing mathematics, Xu Chuan explained. In the office, after staring at the calculations on the blackboard and frowning for a while while listening to Xu Chuan's explanation, Chang Huaxiang smiled bitterly and interrupted: "Wait, wait.
Wait, stop for a moment."
Hearing the sound, Xu Chuan stopped the marker in his hand, turned his head and looked over, and asked, "What's wrong?"
Chang Huaxiang smiled bitterly and said: "I can't keep up with your rhythm. I can't even understand the formulas you wrote above."
Although for an expert in the aerospace field, mathematics is also necessary knowledge.
After all, aerospace engineering is a highly complex technology that requires a lot of knowledge of quantity and physics so that engineers can understand and design the mechanisms of aircraft, spacecraft, missiles, etc.
For example, when designing the aerodynamic structure of an aircraft, complex calculus and dynamic equations need to be used; and when manufacturing a spacecraft, one also needs to be proficient in the mathematical formulas of orbit and anti-gravity.
But aerospace is an engineering discipline that focuses on application and does not study particularly abstract mathematical theorems or the like.
Therefore, in his eyes, the calculations and formulas written by Xu Chuan on the blackboard are the same as heavenly books, and he cannot understand them at all!!
Hearing this, Xu Chuan was stunned for a moment, glanced at the calculations on the blackboard, and then at Academician Chang Huaxiang standing in front of him.
Noticing Xu Chuan's gaze, Chang Huaxiang moved the corner of his mouth and said speechlessly: "Not everyone has your mathematical ability."
After a pause, he looked at the calculations on the whiteboard and continued: "I know about the shock cone theory and have studied it. But yours is obviously beyond the scope of my research."
Xu Chuan was silent for a moment and then said, "How long will it take you to understand this paper?"
Hearing this, Chang Huaxiang turned over the documents in his hand, frowned and thought for a long time, and then gave Xu Chuan a confused answer: "I don't know."
"have no idea?"
Xu Chuan looked at him in surprise, a little confused.
Chang Huaxiang smiled bitterly and said: "I am not a mathematician, although research in the aerospace field sometimes requires the use of mathematics. But do you think we can use such advanced mathematical knowledge?"
As he spoke, he raised the information document in his hand.
Although he couldn't understand the proof inside, he knew the problem of this paper from the title.
"Mathematical Analysis Theory of Supersonic Flow Problems!"
This is one of the most famous problems in the field of aerospace and aerodynamics, and also one of the most important problems.
Because this problem is solved, the aerodynamics of aerospace equipment can be greatly optimized.
To put it simply, this problem is solved. Whether it is a civilian passenger plane, a military fighter jet, or even a car on the ground, high-speed rail can run faster.
Therefore, this issue has always been the focus of research in various countries.
Not to mention other people, he himself, because of his research in the aerospace field, has also paid attention to and even thought about this issue.
But all this time, he has never heard of any country that has made a major breakthrough in this regard.
But today, the theoretical results of this thing appeared in his hands...
Looking at the proof paper in his hand, Chang Huaxiang felt extremely complicated.
There is quite a kind of problem that one has tried its best to solve... no, it should be a question that human beings have tried their best and failed to find an answer to, but suddenly one day it was directly delivered to their hands by 'aliens'.