Chapter 169 Three thousand dollars to buy homework answers, Wang Hao updated the bounded convergence proof
Wang Hao's reply to 'Dr. Tang of Frontier Technology' was screenshotted and posted by other media people, which immediately caused heated discussions on the Internet.
There are many netizens who joined in the fun, "Is this the legendary book of heaven?" ”
"How can an equation be so complicated, that's not how the junior high school teacher taught me......"
"Is this the threshold for talking about mathematics with Professor Wang Hao? I gave up completely at one glance and decided to start today and never discuss mathematics with Professor Wang Hao again......"
"Is this Professor Wang Hao's research? It's complicated. ”
"As an undergraduate student who graduated from Chinese language and literature, I was completely stupid."
"I have the following three views on this equation:."
"This year, I am preparing for the college entrance examination, and the question sent by Professor Wang Hao pointed me out a clear way - not to apply for a mathematics major!"
"Ask the great god to explain!"
"Next time, please send a one-yuan equation, thank you! Otherwise, I will complain about insults! ””
Of course, there are some professional comments, "This should be a partial differential equation, right?" ”
"Even in partial differential equations, there are difficult ones."
"I seem to have seen a similar problem, but there is one less parameter than this one equation."
"As an undergraduate student in the Department of Mathematics, after reading this equation, I decided not to apply for graduate school anymore."
"Can this kind of equation still be solved? I'm a professional at this, but I usually find an approximate solution to this kind of equation. ”
"This shouldn't be Professor Wang Hao's research, I feel that it is only a little more difficult than what I have learned."
"Upstairs, is that it? --‘.’”
A large group of netizens watched and discussed, which also brought a lot of heat.
In fact, Wang Haofa's questions are just homework questions for his students, and his requirements are higher than those of the course, and the homework questions are slightly more difficult, but they have not reached the level of incomprehension.
As long as you are a graduate student in the Department of Mathematics and have studied "Modern Partial Differential Equations", you can understand the topic enough.
Of course, the difficulty of solving the problem is not at the same level as understanding.
This topic is a bit overstepped.
The supersyllabus in graduate courses and the oversyllabus in undergraduate and high school courses are not the same concept at all, because the knowledge in the graduate field is already at the upper limit of the unidirectional direction of the discipline, and the supersyllabus also means cutting-edge exploration.
Because it is an assignment problem for students, it is impossible to exceed the curriculum too much, which is almost equivalent to the worst level of mathematics research.
If you are a math professor, you can easily make a problem.
Changing to a doctoral student in the Department of Mathematics only needs to study for a period of time, and the feeling of doing problems is similar to Chen Mengmeng.
If you can find a new way to solve a partial differential equation problem at this level, you can publish a small paper on it.
Many Ph.D. students in mathematics have published papers at this level.
Of course.
Solving problems in the usual way makes little sense.
Although Wang Haofa's questions are not as difficult as imagined, they are only relatively professional in the mathematical circle.
There are indeed many mathematics doctors and professors in China, but the proportion on the Internet is too rare, and most people can only watch the fun.
Of course, there will be professionals who explain, "This is a problem of solving partial differential equations, but how to solve it still needs to think carefully." It has one more parameter than a conventional equation of the same type. ”
"However, the difficulty of transformation should not be high, and it is a type that can be solved, so you still have to think about it carefully......"
This kind of review is already very professional.
When there are many people watching and discussing, 'Dr. Tang', as the protagonist of the matter, will naturally receive a lot of attention.
He received a lot of comments and messages, "Dr. Tang, you are also a doctor of mathematics, can you do it?" ”
"I can't read it, but I hope to see the answer!"
"Hurry, hurry, don't you keep saying that you are a doctor of mathematics, and you still pay attention to the mathematics circle?"
"Sit back and wait for Dr. Tang's answer."
Dr. Tang still has a lot of supportive fans.
Many fans think that he is a doctor of mathematics, and he is very good, and there is no problem in solving the problem.
Dr. Tang, whose name is Tang Kai, graduated from a university in New Zealand, but because the school is not strict, he just 'mixed' his graduation certificate.
Tang Kai's school was not well-known, and it was difficult to find a high-paying job after returning to China, so he simply took advantage of the rise of self-media and became a technology blogger.
Tang Kai has a doctorate degree in mathematics, and he has always established himself as a 'mathematics master'.
In fact, his doctorate was originally mixed up, and by now, what he has learned has long been left far behind.
Now seeing the public opinion news on the Internet and the topic Wang Hao's reply, Tang Kai is really angry, and he feels humiliated.
Originally, I just discussed Buckmaster's research with Wang Hao, and by the way, I also let fans know that I am indeed very proficient in mathematics and can discuss mathematical problems with Professor Wang Hao.
Then Wang Hao threw out a math problem.
"This is the threshold for discussing mathematics with Wang Hao?" Tang Kai felt humiliated.
But when I looked at the topic carefully, I found that it was impossible to do it.
He pondered, "It's so complicated, it should be cutting-edge research, right?" ”
"It shouldn't be up to the level of Wang Hao's research, but it's definitely beyond the level of a graduate student, and it's definitely not something that can be done simply."
Tang Kai made this judgment, and also synthesized the analysis of many netizens, and also felt that if he could make this topic, he would definitely be very powerful, and he would at least be looked down upon.
This question must be made.
Now there are so many heated discussions, and many netizens are paying attention to whether he can solve the answer, as long as he can solve the answer, he will definitely stabilize his math bully character.
Can't do it......
The shame is small, and the collapse of the character is big!
After Tang Kai calmly made a judgment, he immediately contacted his doctoral supervisor, Seymourson.
Although it has been eight years since Tang Kai graduated, Seymour Son still remembers Tang Kai because he only taught one Chinese student.
However, he didn't have a very good impression of Tang Kai, because Tang Kai was the kind of student who mixed the diploma.
Seymour received the message and asked a little impatiently, "Don, is there something wrong?" I don't think you're here to catch up. ”
"Teacher Seymourson, I do have something to do with you." Tang Kai said a word and passed the screenshot of the question, "Can you help me look at this question?" I need answers. ”
Seymusson was quick to reply, "It's a very complex problem to solve, and it takes a while to solve it." Also, why should I help you? ”
"Three thousand dollars." Tang Kai simply typed a number.
Seymour Son suddenly said, "Of course it's fine. Don, you are truly my best student! ”
When it was determined that Seymour was able to make the problem, Tang Kai sent the money, and he only waited for less than half an hour before receiving two clear photos of Seymothern's solution.
Tang Kai felt that something was wrong.
So fast?
"Seymourson, are you sure this is the answer?"
Seymour replied, "Don, I've already collected the money, please trust my professionalism. If there is a similar job, you must remember me. I'm welcome. ”
Tang Kai could only choose to believe it, he quickly copied the content on the picture, turned the English into Chinese, and then took a few photos and posted them on the Internet.
The message he sent also took Wang Hao by the way, and made a personal comment, "The topic is very difficult, and it took me nearly two hours." ”
"That's it!"
The text content is also accompanied by a 'proud' expression.
Tang Kai was also full of pride in his heart, so he waited for a large number of netizens to come and praise himself.
At the same time.
Seymour also posted a message, but on Twitter, "Today, for the first time, I discovered that studying mathematics is also very lucrative. ”
"This equation solving actually helped me earn 3,000 dollars, thanks to my best student, Tang Kai from China."
The accompanying pictures are the screenshots of the chat and the title sent by Tang Kai.
Of course, Seymour Sen will not receive domestic attention.
There are still many people on the domestic Internet who are paying attention to the incident, and related topics have even rushed to the end of the hot search.
This also brought a lot of popularity to Tang Kai.
Mason Mathematics Science Laboratory.
Several students sat together and discussed, including Hu Lidan, Xu Jie, and the two doctoral students led by Zheng Yaojun.
Most of Wang Hao's students are low-key and do not participate in direct discussions, at most they just pay attention silently.
Xu Jie is an exception, he is the only one with a cheerful personality.
When he saw that 'Dr. Tang' released the latest news, solved the problem, and caused a new wave of heated discussions, Xu Jie found Chen Mengmeng and asked with a smile, "Chen Mengmeng, you see, so many people on the Internet are talking about our homework questions." ”
"Is the original version of your title still there? Can you take a picture of me, I'll send a ...... too"
"Oh, okay."
Chen Mengmeng is still a little confused, why did her homework question be taken by Teacher Wang Hao, which caused so much discussion?
What's going on?
Hearing Xu Jie say that she wanted to take pictures and post them on Weibo, she agreed without much thought.
Anyway, everyone has homework questions, but her homework questions are 'the original version of Internet discussions'.
Xu Jie took a photo of the question, and also took the answer written by Chen Mengmeng below, and immediately sent a message with a paragraph-
"Original original questions and answers!
From our lovely lemon! / Laughing"
This picture, which is the same as the original, plus the answer attached below, immediately attracted the attention of many people.
A lot of people came to inquire right away.
Xu Jie also replied a few words, "This is the homework question left by Mr. Wang Hao." ”
"We're in graduate school."
"It's amazing to solve this problem, it's higher than me, but I didn't make it anyway."
After a large group of netizens got the answer, they immediately left a message on Dr. Tang's Weibo, "Congratulations to Dr. Tang, it took two hours to successfully solve the homework problem left by Professor Wang Hao for students!" ”
"Congratulations! Dr. Tang, you have reached the level of Professor Wang Hao's student......"
Tang Kai saw the congratulatory messages one after another, and he was so angry that he almost vomited three liters of blood.
Which question is just a student's homework question?
And he paid three thousand dollars for the answer?
Isn't that a trick!
……
Of course, Wang Hao noticed what was happening on the Internet, because after he finished his research, he was relatively leisurely, just sitting in his office and watching movies.
After watching the movie, I also went to the office of the comprehensive building, Zhu Ping, Luo Dayong, and other teachers on the same floor were also talking about it.
Wang Hao just paid attention.
Later, I found out that 'Dr. Tang' really solved the problem, and immediately looked up to the other party.
In any case, the other party's level is at least at the graduate level, and they can indeed discuss some mathematical topics.
Say it and do it!
Seeing so many comments on the Internet, and the fact that 'Dr. Tang' had indeed lifted the topic, Wang Hao also replied publicly.
"The research you mentioned in Bakmaster is indeed a problem that has been of concern to the mathematical community in recent times."
"First of all, his paper is correct, and the output of the NS equation is sometimes unstable under the condition of allowing rough values."
"However, this conclusion does not make any sense."
"Buckmaster concludes his paper by inferring that the NS equation is 'to a certain extent' illustrated by the conclusion that the NS equation is not smooth."
This inference is wrong, and his proof has no meaning. The ns equation is still reliable, and even in the case of 'coarse values allowed', it only occasionally fluctuates greatly, but no matter how large the fluctuations are, they are bounded convergence. ”
The last sentence is the key.
The output value of the NS equation fluctuates greatly, but the fluctuations converge boundally, and the natural fluctuation range will be limited.
After Wang Hao sent a message, he thought for a while and sent another message, "Regarding the problem of bounded convergence of the equation output under rough values, I'll send a proof."
Everybody wait, soon.
Please follow my blog for updates. ”
After Wang Hao sent the news, it immediately attracted a lot of attention.
This time, not only ordinary public opinion has paid attention, but many people in the mathematical community, as well as people related to the application of NS equations, have begun to pay attention.
Because Wang Hao wants to make a definitive proof to show that Buckmaster's research is meaningless.
They only waited for a short time.
About an hour later, Wang Hao updated the article on his blog, titled "Bounded Convergence of NS Equation Output at Rough Values".
He made a special note in the article, "Because Buckmaster's paper has many conclusions, here I will directly quote his conclusions for subsequent proof." ”
What follows is a whole bunch of complex proofs.
After the blog post is published, ordinary people can only watch the excitement, and it is professional scholars who make the discussion.
This blog immediately became popular in math circles.
A lot of math professors and related people have retweeted it.
Because the proof process is not complicated, and the conclusions of Buckmaster are also cited, they can be directly regarded as conclusions, and it is not difficult to fully understand.
Soon.
The proof is determined.
There are several well-known mathematics professors, and even a mathematics academician, who are sure that the proof process is correct.
Some well-known mathematicians even commented at the bottom of the blog, "When rough values are allowed, the fluctuations of the NS equation converge boundedly, and this proof is of great significance!" ”
"The biggest significance is to show that Buckmaster's research has no meaning......"
"Indeed, fluctuations converge with bounded convergence, and Buckmaster's proof has nothing to do with whether the NS equation is smooth or not!"
"It seems that Wang Haocai is more authoritative in the study of NS equations, and Buckmaster is very famous, but after all, he is famous for his research in applied mathematics."
Of course, there are also gloating comments, "I don't know if Buckmaster will be so angry that he vomits blood when he sees this proof and knows that his research for several years is meaningless......"
(End of chapter)