From University Lecturer to Chief Academician

Chapter 170 Three Thousand Dollars to Buy Homework Answers, Wang Hao Updates the Bounded Convergence

Wang Hao's reply to "Frontier Technology Dr. Tang" was posted by other media people as a screenshot, which immediately aroused heated discussions on the Internet.

Many netizens joined in the fun, "Is this the legendary heavenly book?"

"How can an equation be so complicated? That's not what my junior high school teacher taught me..."

"Is this the threshold for discussing mathematics with Professor Wang Hao? I completely gave up after taking a look at it, and decided that starting today, 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."

"For this equation, I have the following three views:."

"I'm preparing for the college entrance examination this year, and the questions given by Professor Wang Hao pointed me to a clear path - if I die, I won't apply for a mathematics major!"

"Please God, please explain!"

"Next time, please send the linear equation in one yuan, thank you! Otherwise, I will complain about insulting personality!""

Of course, there are some professional comments, "This should be a partial differential equation, right?"

"Even in partial differential equations, it's the difficult kind."

"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? I do this professionally, but generally when I encounter this kind of equation, I always seek an approximate solution."

"This shouldn't be Professor Wang Hao's research, it feels like it's only a little harder than what I've learned."

"Upstairs, is this the point?--'."

A large group of netizens watched and discussed, which also brought a lot of heat.

In fact, the questions Wang Hao sent were just homework questions for his own students. His requirements were higher than those of the courses, and the homework questions were a little more difficult, but not to the point of being incomprehensible.

As long as you are a graduate student in the Department of Mathematics and have studied "Modern Partial Differential Equations", you can read and understand the topic.

Of course, the difficulty of solving problems is not at the same level as understanding.

This topic is a bit over the top.

The super-syllabus of postgraduate courses is completely different from the super-syllabus of undergraduate and high school courses, because the knowledge in the field of graduate students is already at the upper limit of a single subject, and super-syllabus also means frontier exploration.

Because it is a homework problem for students, it is impossible to go too far beyond the syllabus, which is almost equivalent to the worst level of mathematics research.

If it is a mathematics professor, it is easy to make the topic.

As a doctoral student in the Department of Mathematics, he only needs to study for a period of time. The feeling of doing the problem is similar to that of Chen Mengmeng. Some parts may be unexpected for a while, or he may complete the solution smoothly all the way.

For this level of partial differential equations, if you can find a new problem-solving method, you can publish a small paper on it.

Many doctoral students majoring in mathematics have published papers at this level.

Of course.

There is almost no point in solving problems in conventional ways.

Although the difficulty of Wang Haofa's questions is not as high as imagined, it is only a relatively professional mathematics circle.

There are indeed many PhDs and professors in mathematics in China, but the proportion of them on the Internet is too rare, and most people can only watch the excitement.

Of course, some professionals will explain, "This is a partial differential equation solution problem, but how to solve it, you still need to think carefully. It has one more parameter than the conventional equation of the same type."

"However, the difficulty of conversion should not be high. It is a type that can be solved. We still have to think carefully..."

This comment is already very professional.

When there are many people watching and discussing, 'Dr. Tang', who is the protagonist, will naturally receive a lot of attention.

He received many comments and messages, "Dr. Tang, you are also a doctor of mathematics, can you do it?"

"Although I don't understand, I still hope to see the answer!"

"Hurry up, hurry up, don't you always say that you are a doctor of mathematics, and you still pay attention to the mathematics circle?"

"Wait for Dr. Tang's answer."

Dr. Tang still has many supportive fans.

Many fans think that he is a doctor of mathematics, and he is also very good. 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's requirements were not strict, he just got his 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 set himself up as a "mathematics master".

In fact, his Ph.D. degree was mixed up in the first place, and by now, he had long forgotten what he had learned.

Now seeing the public opinion news on the Internet and the questions Wang Hao replied to, Tang Kai was really blown away, and he felt that he had been humiliated.

Originally, I was just discussing Buckmaster's research with Wang Hao, and by the way, let fans know that I am really proficient in mathematics, and I can discuss mathematics 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 looking at the topic carefully, I found that it was impossible for me to do it.

He pondered, "It's so complicated, so it should be cutting-edge research?"

"It should not reach the level of Wang Hao's research, but it must be beyond the level of graduate students. It is by no means easy to do."

Tang Kai made this judgment based on the analysis of many netizens. At the same time, he also felt that if he could make this topic, he would definitely be very powerful, and at least he would be highly regarded.

This question must be solved.

There have been so many heated discussions now, 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 personality as a mathematician.

can't do it...

Disgrace is small, but the collapse of human design is big!

After Tang Kai calmly made a judgment, he immediately contacted his doctoral supervisor, Simonson.

Although Tang Kai has graduated eight years ago, Simerson still remembers Tang Kai because he only taught one Chinese student.

However, he didn't have a good impression of Tang Kai, because Tang Kai was the kind of student who mixed up his diploma.

Simerson asked a little impatiently when he received the news, "Don, what's the matter? I think you definitely didn't come to see me to catch up."

"Mr. Simosson, I really need you for something." Tang Kai said a sentence and passed the screenshot of the question, "Can you help me to look at this question? I need the answer."

Simonsen replied quickly, "This is a very complicated partial differential equation solving problem, and it will take a while to solve the problem. Besides, why should I help you?"

"Three thousand dollars." Tang Kai simply typed a number.

Simerson said immediately, "Of course it's no problem. Don, you are really my best student!"

After confirming that Simerson could solve the problem, Tang Kai sent the money. After waiting for less than half an hour, he received two clear photos, which showed Simerson's solution.

Tang Kai felt something was wrong.

So fast?

"Simerson, are you sure this is the answer?"

Simonsen replied, "Don, I have already received the money, please believe in my professionalism. If there is another similar job, please remember me. I am very welcome."

Tang Kai could only choose to believe it. He quickly copied the contents of the picture, changed the English into Chinese, took a few photos, and posted them on the Internet.

In the message he sent, Aite also mentioned Wang Hao by the way, and made a personal comment, "The topic is very difficult, and it took me nearly two hours."

"You're done!"

The content of the text is also accompanied by a 'satisfied' expression.

Tang Kai was also full of pride in his heart, so he waited for a large wave of netizens to come and praise him.

at the same time.

Simonsen also posted a message, but only 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 dollars. Thanks to my best student, Tang Kai from China."

The accompanying picture is the screenshot of the chat and the screenshot of the question sent by Tang Kai.

Of course, Seymerson will not receive domestic attention.

Many people are still following the incident on the domestic Internet, and related topics have even rushed to the end of the trending searches.

This also brought Tang Kai a lot of popularity.

Mason Number Science Lab.

Several students sat together and discussed, including Hu Lidan, Xu Jie, and two doctoral students led by Zheng Yaojun.

Most of Wang Hao's students are low-key and did not participate in the direct discussion. At most, they just paid attention to it silently.

Xu Jie is an exception, he is the only one with a cheerful personality.

After seeing that 'Dr. Tang' released the latest news and solved the problem, which aroused a new wave of heated discussions, Xu Jie found Chen Mengmeng and asked with a smile, "Chen Mengmeng, look, So many people on the Internet are talking about our homework."

"Is the original version of your title still there? Can you take a picture for me, and I'll send one too..."

"Oh, fine."

Chen Mengmeng is still a little dazed until now, why did teacher Wang Hao take a picture of her homework problem, which caused so many discussions?

What's happening here?

Hearing that Xu Jie wanted to take pictures and post on Weibo, she agreed without thinking too much.

Anyway, everyone has homework questions, but her homework questions are 'the original version of the Internet discussion'.

Xu Jie took a photo of the question, and also took a photo of the answer written by Chen Mengmeng below, and immediately sent a message with a paragraph——

"Authentic original questions and answers!

From our lovely Mengmeng! /laughing out loud"

This picture, which is the same as the original version, and the answer attached below, immediately attracted the attention of many people.

Many people immediately came to ask.

Xu Jie also replied a few words, "This is the homework question left by Teacher Wang Hao."

"We're in graduate school."

"It's amazing to solve this problem. It's higher than my level. Anyway, I didn't do it."

After a large group of netizens got the answer, they immediately posted a message on Dr. Tang's Weibo, "Congratulations to Dr. Tang, you have successfully solved the homework problem that Professor Wang Hao left for the students after spending two hours!"

"Congratulations! Dr. Tang, you have reached the student level of Professor Wang Hao..."

When Tang Kai saw the messages of congratulations, he was so angry that he almost vomited blood for three liters.

That question is just a student's homework question?

He also paid three thousand dollars for the answer?

Isn't this a joke!

...

Of course Wang Hao noticed what happened on the Internet, because he was relatively free after finishing his research, so he just sat in the office and watched movies.

After watching the movie, I went to the office of the complex building. Zhu Ping, Luo Dayong, and other teachers on the same floor were also talking about it.

Wang Hao just paid attention.

Later, it was discovered that 'Dr. Tang' had really solved the problem, and he immediately looked up to the other party.

In any case, the other party's level has at least reached the postgraduate level, and he can indeed discuss some mathematical topics.

no sooner said than done!

Seeing so many comments on the Internet, and the fact that 'Dr. Tang' had solved the problem, Wang Hao responded openly.

"The Buckmaster research you mentioned is indeed an issue that the mathematics community has been paying attention to recently."

"First of all, his thesis is correct. Under the condition of allowing rough values, the output of the NS equation is sometimes not stable."

"However, this conclusion doesn't make any sense."

"Buckmaster said at the end of the paper that he inferred from the conclusion that 'to a certain extent' it shows that the NS equation is not smooth."

"This inference is wrong, and his proof is meaningless. The ns equation is still reliable. Even in the case of 'allowing rough values', it only occasionally fluctuates greatly, but no matter how large the fluctuation is, it is bounded and convergent. "

That last sentence is the key.

The output value of the NS equation fluctuates greatly, but the fluctuation is bounded and convergent, and the natural fluctuation range will be limited.

After Wang Hao sent a message, he thought for a while and sent another message, "For the issue of bounded convergence of equation output under rough values, I'd like to post a proof.

Everyone, wait, soon.

Please follow my blog for updates. "

After Wang Hao posted the news, it immediately attracted a lot of attention.

This time, not only ordinary public opinion paid attention, but many people in the mathematical field, as well as those related to the application of NS equations, began to pay attention.

Because Wang Hao wants to prove exactly that Buckmaster's research is meaningless.

They only waited a short time.

About an hour later, Wang Hao updated the article on his blog with the title - "Bounded Convergence of NS Equation Output under Rough Values".

He made a special statement in the article, "Because Buckmaster's thesis already has many conclusions, here I will directly quote his conclusions for subsequent proofs."

Then there is a lot of complicated proofs.

After the blog articles are published, ordinary people can only watch the excitement, and it is the professional scholars who make the discussions.

This blog suddenly became popular in the mathematics circle.

Many mathematics professors and related people have forwarded it.

Because the proof process is not complicated, Buckmaster's conclusion is also quoted, which can be directly regarded as the conclusion, and it is not difficult to fully understand it.

soon.

The proof is fixed.

Several well-known mathematics professors, and even a mathematics academician, have confirmed that the proof process is correct.

Some well-known mathematicians even commented at the bottom of the blog, "Under the condition of allowing rough values, the NS equation has bounded convergence. This proof is of great significance!"

"The biggest meaning is that Buckmaster's research is meaningless..."

"Indeed, the bounded convergence of fluctuations, Buckmaster's proof, has nothing to do with whether the NS equation is smooth or not!"

"It seems that Wang Hao is more authoritative in the study of NS equations. Buckmaster is famous, but after all, he is famous for his research in applied mathematics."

Of course, gloating comments are also inevitable, "I don't know whether Buckmaster will be so angry that he vomits blood after seeing this proof and knowing that his years of research are meaningless..."

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