Convergence Proof
Wang Hao's reply to "Dr. Tang of Frontier Technology" was screenshotted and posted by other media people, which immediately caused a heated discussion on the Internet.
Many netizens joined in the fun, asking, "Is this the legendary Book of Heaven?"
"How can an equation be so complicated? This is not what my junior high school teacher taught me..."
"Is this the threshold for discussing mathematics with Professor Wang Hao? I gave up completely after just one glance, and decided that from today on, I will never discuss mathematics with Professor Wang Hao again..."
"Is this the research of Professor Wang Hao? It's so complicated."
"As an undergraduate student who graduated from Chinese language and literature, I was completely dumbfounded."
"I have the following three views on this equation:."
"I was preparing for the college entrance examination this year, and the questions given by Professor Wang Hao pointed out a clear path for me - I'd rather not major in mathematics!"
"Please God explain it to me!"
"Next time please send me a linear equation of one dollar, thank you! Otherwise, I will complain that the content involves insulting personality!"
Of course, there are also some professional comments, "This should be a partial differential equation, right?"
"Even in partial differential equations, it's a difficult one."
"I seem to have seen similar questions, but there are fewer parameters than this equation."
"As an undergraduate student in the Department of Mathematics, after reading this equation, I decided not to apply for graduate school."
"Can this kind of equation still be solved? This is what I do professionally, but when I encounter this kind of equation, I usually find an approximate solution."
"This is probably not Professor Wang Hao's research. It feels just a little more difficult than what I studied."
"Upstairs, is this the point?--'.'"
A large group of netizens gathered around to watch the discussion, which also brought a lot of popularity.
In fact, the questions Wang Hao sent were just homework questions for his students. His requirements were higher than those in the course, and the homework questions were slightly more difficult, but they were not incomprehensible.
As long as you are a graduate student in the Department of Mathematics and have studied "Modern Partial Differential Equations", you will be able to read and understand the questions.
Of course, the difficulty of solving problems is not at the same level as understanding them.
This topic is a bit out of scope.
The super-curriculum in graduate courses is not the same concept as the super-curriculum in undergraduate and high school courses, because the knowledge in the graduate field is already at the upper limit of one direction of the subject, and super-curriculum means cutting-edge exploration.
Because it is a homework question for students, it cannot exceed the syllabus too much. It is almost equivalent to the worst-level mathematics research.
If you are a mathematics professor, you can easily solve the problem.
If you were a doctoral student in the Department of Mathematics, you would only need to study for a period of time. The feeling of solving the problem is similar to that of Chen Mengmeng. You may not think of some parts for a while, but you may also complete the problem smoothly all the way.
For a partial differential equation problem of this level, if you can find a new solution method, you can publish a small paper based on it.
Many doctoral students majoring in mathematics publish papers at this level.
Of course.
Solving problems using conventional methods is almost meaningless.
Although the difficulty of Wang Haofa's questions is not as high as expected, it is only for relatively professional mathematics circles.
There are indeed many PhDs and professors in mathematics in China, but the proportion of them posted on the Internet is too rare, and most people can only watch the fun.
Of course, there will be professionals who will explain, "This is a problem of solving a partial differential equation, but you still have to think carefully about how to solve it. It has one more parameter than the conventional equation of the same type."
"However, the transformation should not be difficult. It is a type that can be solved, but we still need to think carefully..."
This kind of comment is already very professional.
When there are many people watching the discussion, 'Dr. Tang', as the protagonist, will naturally receive a lot of attention.
He received many comments and messages, "Dr. Tang, you also have a PhD in mathematics, can you do it?"
"Although I can't understand it, I still hope to see the answer!"
"Hurry up, hurry up, haven't you always said that you have a PhD in mathematics and are you still paying attention to the mathematics circle?"
"Sit back and wait for Dr. Tang's answer."
Dr. Tang still has many supportive fans.
Many fans think that he has a PhD in mathematics and is very good at solving problems without any problem.
Dr. Tang, whose name is Tang Kai, graduated from a university in New Zealand with a doctorate, but because the school's requirements were not strict, he just got a diploma.
The school Tang Kai attended 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 in mathematics and has always established himself as a "mathematics master".
In fact, he got his doctorate degree from scratch, and by now, he has long forgotten what he learned.
Now seeing the public opinion news on the Internet and the questions Wang Hao replied to, Tang Kai was really angry. He felt that he had been 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 they can discuss mathematics problems with Professor Wang Hao.
Then Wang Hao threw out a math problem.
"Is this the threshold for discussing mathematics with Wang Hao?" Tang Kai felt humiliated.
But after taking a closer look at the question, I found that it was impossible for me to do it.
He pondered, "It's so complicated, it should be cutting-edge research, right?"
"It shouldn't be up to Wang Hao's level of research, but it's definitely beyond the graduate level. It's definitely not something that can be done easily."
Tang Kai made this judgment based on the analysis of many netizens. At the same time, he also felt that if he could solve this problem, he would definitely be very powerful and would at least be looked at highly.
This question must be answered.
There has been so much heated discussion now, and many netizens are paying attention to whether he can solve the problem. As long as he can solve the problem, he will definitely solidify his reputation as a master of mathematics.
Can't do it...
It's a small thing to be embarrassed, but it's a big thing to have your character collapsed!
After Tang Kai made a calm judgment, he immediately contacted his doctoral supervisor Simonson.
Although Tang Kai has graduated eight years ago, Simonson still remembers Tang Kai because he only taught one Chinese student.
However, his impression of Tang Kai was not very good, because Tang Kai was the kind of student who just got a diploma.
Simonson received the news and asked impatiently, "Tang, what's the matter? I don't think you're here to catch up with me."
"Teacher Simonson, I really have something to do with you." Tang Kai said and passed a screenshot of the question, "Can you help me look at this question? I need the answer."
Simonson quickly replied, "This is a very complicated problem of solving partial differential equations, and it will take a while to solve the problem. Also, why should I help you?"
"Three thousand dollars." Tang Kai simply typed a number.
Simonson immediately said, "Of course there is no problem. Don, you are really my best student!"
After it was confirmed that Simonson could solve the problem, Tang Kai sent the money. He only waited for less than half an hour before he received two clear photos, showing Simonson's solution to the problem.
Tang Kai felt something was wrong.
So fast?
"Symerson, are you sure this is the answer?"
Simonson replied, "Don, I have already collected the money, please trust my professionalism. If you have similar work again, be sure to remember me. I welcome you."
Tang Kai could only choose to believe it. He quickly copied the content on the picture, changed the English text into Chinese, then took a few photos and posted them on the Internet.
In the message he sent, he also liked Wang Hao and made a personal comment, "The question was very difficult and took me nearly two hours."
"Done!"
The text is also accompanied by a 'satisfied' expression.
Tang Kai was also filled with pride and was waiting for a large wave of netizens to come over and praise him.
at the same time.
Simonson also sent a message, but it was posted on Twitter, "Today, for the first time, I discovered that studying mathematics can also be very profitable."
"Solving this equation actually helped me earn three thousand US dollars. Thanks to my best student, Tang Kai from China."
To be continued...