If you want to collect Obadiah Sean's papers in the huge world of the Internet, if you let Qin Ke do it by yourself, it may not be possible to complete it in three days and three nights. But with the glimmer of lv4, everything will be much easier.
. Even if the electronic versions of many journals are paid, Weiguang will automatically register Qin Ke’s information, pay, open it, and convert it back to an ordinary pdf file format by scanning to save it, so that Qin Ke can write it one by one.
I have to say that Wei Guang is already a very qualified work assistant.
During this period, Qin Ke and Ning Qingyun studied the details of the paper on the n-s equation.
As we all know, the Navier-Stokes equation (n-s equation) establishes the relationship between the rate of change of particle momentum of a fluid, the change of pressure acting inside the liquid, dissipative viscous force, and gravity, which is a key element in fluid mechanics.
A very important set of equations. The research progress on it directly affects the technological development in industrial fields such as aircraft design, aircraft engines, industrial fluid machinery, and burner efficiency improvement, as well as most macro-level interactions with fluids such as climate and ocean currents.
The development of sub-disciplines related to mechanics.
"The problem of the existence of smooth solutions to n-s equations in three-dimensional space" (that is, finding the general solution to n-s equations and proving that the solution to this equation always exists) will become one of the seven major mathematical problems in the world, in addition to its influence on fluid mechanics.
The huge effect is also because it is a system of nonlinear partial differential equations, and it has one more second-order derivative term than the Euler equation. Without limiting the equation, it is difficult to find an exact solution. Currently, it can only be used in some very simple special case flow problems.
Only in this way can the exact solution be obtained.
But if we cannot find a general solution to the n-s equation, we cannot theoretically deduce the state of any fluid at a certain point in time in the future under any starting conditions.
For this reason, countless mathematicians have devoted themselves to the general solution of this n-s equation one after another, and created many novel mathematical methods. It is these mathematical methods that promote the study of nonlinear partial differential equations.
Ning Qingjun's "infinite flow algorithm" is a very excellent algorithm for nonlinear partial differential equations.
The inspiration for the beginning of this algorithm was proposed by Qin Ke, but the subsequent establishment and improvement of the entire algorithm was completed independently by Ning Qingyun, and was used in the research on the general solution of n-s equations, achieving dazzling results that shocked the world at the time.
.
However, the infinite flow algorithm alone cannot truly find the general solution to the n-s equation. It is just a key to open the primary door. After entering the room, if you want to really open the door that hides the secret of the n-s equation, you need something more advanced and better.
mathematical methods and algorithms.
S-level knowledge "Exploration and Detailed Explanation of Nonlinear Partial Differential Equations "Navier-Stokes Equations"" The first, middle and second parts basically cover the application of n-s equations in physics and how to
Using mathematics to find special solutions, Qin Ke's doctoral thesis was also inspired by this S-level knowledge.
However, there is no method for finding the general solution to the n-s equation in the first, middle and last chapters. Qin Ke guessed that it is probably in the final chapter.
But it doesn’t matter. Qin Ke, who spent nearly four years studying the first, middle and last parts of this S-level knowledge, has no equal in the world when it comes to his understanding of n-s equations.
By.
With the help of Qin Ke's subtle "Thinking Resonance" system function, Ning Qingyun has a very good understanding of the n-s equation. Even if it is not as good as academician Jiang Weixian who has studied the n-s equation for decades, it is not far behind.
Moreover, for more than half a year, the two of them have been working together to attack the general solution problem of the n-s equation. At this time, they are just formulating the results into a paper.
Ning Qingyun took an erasable pen and wrote on the large whiteboard placed in the study room of the two of them in "Little House No. 2":
"Our idea to crack the general solution of the n-s equation is: first assume a range of initial conditions, that is, the domain of smooth initial values, and then verify whether there is a smooth solution to the n-s equation within this domain. If there is no smooth solution, then it can be proved that there is no smooth solution.
The existence of the so-called 'general solution' puts an end to this century-old problem. From now on, we can only continue to expand the exact solution (that is, the special solution) in specific situations. On the contrary, if we can prove that there is a smooth solution to the n-s equation within the definition domain
, then our next goal is to gradually expand this domain of definition to unlimited, which can prove that the smooth solution of the n-s equation exists as a whole. The last step is to find this general solution."
The girl's melodious voice echoed softly in the night study room: "In the past six months, what we have done is to solve the first key problem through proof by contradiction, that is, by proving that 'in our assumed definition domain, the n-s equation is in
In the process of flow evolution for a long enough time, a singular point is generated through the evolution of the flow field equation, and the singular point is the derivative of the non-existent variable, so that the solution at the singular point does not exist. This proposition is not true, and then the counter-proof is that
Within the domain we assume, smooth solutions to the n-s equation exist'."
Although Ning Qingyun said "we", in fact, at least two-thirds of the work was done by Ning Qingyun. Especially some time ago, Qin Ke concentrated on conquering the computational seed course, and there was no work for nearly two months.
How could he personally participate in this disproof work? However, he would still find time to follow the progress, discuss key details with Ning Qingyun, and provide ideas, such as guiding Ning Qingyun to improve her "infinite flow algorithm" into a "three-layer
Infinite flow loop algorithm".
"At present, this work is basically completed. I have adopted the improved 'three-layer infinite flow loop algorithm' for the key disproof process and have successfully completed the disproof. These are the ten most critical aspects of the 'three-layer infinite flow loop algorithm'.
A few lines of mathematical formulas." Ning Qingyun wrote a series of beautiful mathematical formulas:
“lΔq=-1/wrhs[1/wΔt β(γa γb γc)]Δq”
This chapter is not finished yet, please click on the next page to continue reading the exciting content!】
"Δq=d^(-1)uΔq 1/2[h(q) βγcq](r-1)"
“pdu1/dr=pa-ap/ax μ(δ^2u1/δx^2 δ^2u2/δy^2)”
"..."
Looking at Juanxiu's handwriting covering the entire whiteboard, Qin Ke couldn't help but give a thumbs up and praised: "Not bad, there are no flaws, so we can basically confirm that in 60% of cases, there is a smooth solution to the n-s equation.
Oh! I didn’t expect that my wife has grown to such a level without knowing it. Your level in partial differential equations, if not as good as your level in number theory and algebraic geometry, is very close."
Ning Qingyun is now somewhat immune to the title of "wife". The corner of the girl's mouth curled up, and she said happily and a little embarrassedly: "If it weren't for you pulling me forward and patiently guiding me, I wouldn't be able to do it.
To reach the level we are today.”
Unlike Qin Ke, who is proficient in all subjects, Ning Qingyun is good at only a few directions. The best among them is naturally number theory, which combines the Wang School and Chen School theories of Academician Wang Henglao and Academician Tian Jianlan. That is really
The real academician level. Then there are algebraic geometry, mathematical analysis (calculus equations), functional analysis, mathematical modeling and other directions, all of which are at the level of senior professors. The rest are probability theory, chaos theory, group theory and more than a dozen
Although I cannot say that I am particularly proficient in the sub-discipline, I am still much better than ordinary doctoral students.
Of course, when it comes to the amount of knowledge, Ning Qingyun is far from comparable to Qin Ke, who has systematically transmitted a huge amount of knowledge. Not only her, but the amount of knowledge of any mathematician in the world cannot compare with Qin Ke.
However, Ning Qingyun has Qin Ke. When she needs to use it, if she finds any sub-subject knowledge that she lacks, Qin Ke will pass on the essence to her through "thinking resonance", and then Ning Qingyun will continue to consolidate it through practice and self-study.
Apply it and eventually integrate it into her knowledge system, which is one of the important reasons why her level can rise linearly.
Ning Qingyun still thinks that she can quickly understand the knowledge points explained by Qin Ke under the "Thinking Resonance" function because she has a heart-to-heart connection with Qin Ke, so she still feels very sweet when she says this.
Qin Ke smiled and said: "This is also the result of your own efforts. Just like this 'three-layer infinite flow loop algorithm', I just provided inspiration and participated in the calculation of certain key points. Generally speaking, it is your own original creation."
.You can have more confidence. Your current strength will never be worse than any mathematics master who has won the Fields Medal."
What Qin Ke said is not an exaggeration. Ning Qingyun's potential in science, which she inherited from her academician parents, has been fully unleashed. Coupled with her own seriousness and concentration, she has devoted herself to following Qin Ke and always being his "second place".
Ning Qingyun's efforts far beyond those of ordinary people, as well as Qin Ke's teaching with the help of "thinking resonance", made Ning Qingyun make rapid progress in mathematics. At least among the younger generation of mathematicians under the age of thirty, she is second only to Qin Qingyun.
existence of gram.
The two discussed some more details and soon finalized the outline of the paper.
"Jun'er, I'll leave it to you to write the paper. I'll look at Obadiah Sean's information first."
"No problem. Just leave it to me." The papers co-authored by the two almost follow the same pattern. They jointly finalize the outline and key details, and then Ning Qingyun writes it. Ning Qingyun is also quite happy to write the paper, after all.
She is better at these writing skills and has more patience than Qin Ke. She feels that Qin Ke can free up his time to do more meaningful things.
Noticing that Qin Ke mentioned an unfamiliar name, the girl asked in surprise: "By the way, who is Obadiah Sean you mentioned just now?"
"There is an academic hooligan in the international mathematics community. Mr. Faltings asked me to teach him a lesson. I just have some time, so I will do justice for God and eliminate harm for the people. You can write your paper in peace first, and I will be free then.
Help me again." Of course, Qin Ke would not mention the fact that Obadiah Sean actually wanted to step on his own little cabbage to get the position. He smiled and put the name on Faltings. In fact, this was indeed the case.
Didn't Faltings send such an email because he wanted to teach that academic rogue a lesson?
"Well, come on, then." Ning Qingyun didn't seem suspicious. She quickly spoke to the laptop's camera with her pink lips, and started lip-writing the paper.
Now that artificial intelligence is available, text input is much more convenient. Especially for mathematical formulas, Weiguang can directly scan the calculations she wrote and automatically enter them into the paper, eliminating the need for Ning Qingyun to edit mathematical formulas.
It takes a lot of effort and trouble to enter mathematical equations into a computer.
In this way, apart from the mathematical formulas already written on the manuscript paper, Ning Qingyun only needs to complete the text description part. This article, which is about 30 pages long, "Using the Three-layer Infinite Flow Loop Algorithm to Verify n-s in 60% of cases"
The paper "Research on the Existence of Smooth Solutions to Equations" can be completed in one night at the earliest and in two nights at the latest. This speed is enough to put many professors to shame.
Qin Ke is sitting next to Ning Qingyun. The two of them have long been accustomed to each other's presence, and there is no need to worry about influencing each other. Qin Ke even feels tired and can look at the serious and focused beautiful side face of his girlfriend next to him, and smell her body.
The touching lime-like body fragrance is even more refreshing.
Qin Ke stretched out and began to look carefully at Obadiah Sean's information and a small number of papers that Shimmer had searched and sorted out.
Obadiah Sean is praised by some in the mathematics circle, criticized by others, hated by others, and loved by others. He has a lot of attention. His number of fans on Facebook and Twitter is actually close to the mathematics genius, Professor Tao, the oldest person in the Philippine Prize!
It really surprised Qin Ke.
You must know that Professor Tao is a guru on the Internet. He likes to give advice on the Internet and make various comments. He is also famous in mathematics, which is why he has accumulated a huge number of fans!
This chapter is not finished yet, please click on the next page to continue reading the exciting content! How can this Obadiah Shawn be compared to Professor Tao?
Regardless of whether his number of fans is real fans or zombie fans, the numbers are there, and it’s still quite shocking to see! Qin Ke looked at it carefully for a long time and found that this guy is indeed very influential in the international media, especially
It is sought after by some Westerners, including celebrities from the international community, big entrepreneurs and even political figures.
No wonder Wu Baozhu, the leader of the Philippine Prize, was criticized academically and could only endure all kinds of ridicule. He mocked himself by saying, "If a person is bitten by a dog, will he bite the dog back?"
Qin Ke read dozens of pages of information about Obadiah Sean and already knew in his mind that this guy is a gangster who speculates on fame and traffic. Through the occasional comments in the paper, comments on personal social accounts and media interviews
, catching well-known mathematicians from non-Western developed countries to bite and attack. One month, he also stepped on Qin Ke in an interview with an academic media, saying that Qin Ke's proof of the Riemann Hypothesis "is just sewing up Riemann himself."
"The mathematical system has no innovation and is in vain." Because it was only a second- or third-rate academic media with little reputation, this matter did not attract much attention.
As for this guy’s math skills…
Qin Ke only read a few papers and roughly judged that Obadiah Sean was able to be a professor at the Ecole Normale Supérieure in Paris. He was indeed a bit capable, so he was also very clever in "touching porcelain" and caught a kid.
A small flaw can be used to attack with all kinds of fallacies, and then reduce the opponent's entire paper to worthless. Finally, it escalates to personal attacks and all kinds of cynicism, in order to reflect one's own advantages and standing as the heir of Western orthodox mathematics.
Come on high.
Those Westerners originally needed such a "vanguard" for various purposes. When they heard these specious words that could deceive ordinary people with average mathematical skills, they naturally praised and boasted in all kinds of ways.
At this time, Shimmer has basically sorted out Obadiah Shawn's papers and press interviews, and has also carefully marked the parts of the content that verbally attack others.
When Qin Ke saw that there were more than fifty single-authored papers in these materials, he immediately had an idea in his mind and asked Weiguang to do some statistics.
After such statistics, it was discovered that Obadiah Sean has attacked more than 100 well-known mathematicians from non-Western developed countries in the past five years. It is estimated that if Mr. Qiu was not an American national, he would also have been attacked by him.
Very miserable.
Qin Ke asked Wei Guang to count the publication time of these papers and news interviews, and found out who had recently received international media attention. Obadiah Sean wrote relevant papers, or used various comments to criticize who was worth mentioning.
He is said to be a master of using popularity to increase traffic.
Ignoring the comments in the news interview, what surprised Qin Ke was that the paper written by Obadiah Sean involved nearly thirty sub-subjects and different subdivisions, and the content of each paper
The level is passable!
"It's interesting." The corner of Qin Ke's mouth raised, and he began to read each article in detail.
He simply does not believe that Obadiah Sean can be so productive, let alone that he can be proficient in so many subdivided fields. If anyone else in the world today can be proficient in nearly thirty subdivided fields of mathematics, besides Qin Ke,
, then there is only his good friend Professor Tao Zhexuantao, and it will never be this Obadiah Sean!
Sure enough, Qin Ke discovered the clues after taking a closer look. Less than one-fifth of these papers were completed by Obadiah Sean himself, and most of the remaining papers were ghostwritten by others. Then Obadiah Sean
Sean came to complete the work, mainly by adding his signature sarcasm and unifying the writing style to make these papers appear to have been written by himself, thereby enhancing his academic reputation.
His method is still very effective. At least many people now think that he is a mathematical genius. If it were not for the fact that there are no particularly dazzling results in his papers, he might even have a chance to win the Fields Medal.
But in front of Qin Ke's eyes, which can see through a person's mathematical way of thinking from mathematical calculations, all frauds can't be hidden!
Regardless of whether Obadiah Shawn paid the gunmen to come back and ghostwrite these papers, or the gunmen themselves were members of Obadiah Shawn's team, and they just shared the name "Obadiah Shawn"
It operates as a brand, but for mathematicians, this is academic fraud!
Academically speaking, "signature" is a very serious matter. It is not a business, a social account, or a commercially operated official account. There is no such thing as sharing an "account"!
"This guy must have never learned an old saying from our Xia Kingdom, 'If you do evil by God, you can't do it; if you do evil by yourself, you can't do it'." Qin Ke got up and poured two cups of tea, one for the cabbage next to him.
I drank the other glass in one gulp, and then quickly typed the next line in English on my laptop -
Chapter completed!